128 (number)
Encyclopedia
128 is the natural number
following 127
and preceding 129
.
. But it is divisible by the total number of its divisors, making it a refactorable number
.
The sum of Euler's totient function
φ(x) over the first twenty integers is 128.
128 can be expressed by a combination of its digits with mathematical operators thus 128 = 28 - 1, making it a Friedman number
in base 10.
A hepteract
has 128 vertices
.
128 is the only 3-digit number that is a 7th power. 2 to the 7th power.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 127
127 (number)
127 is the natural number following 126 and preceding 128.- In mathematics :*As a Mersenne prime, 127 is related to the perfect number 8128. 127 is also an exponent for the Mersenne prime 2127 - 1, making 127 a double Mersenne prime...
and preceding 129
129 (number)
129 is the natural number following 128 and preceding 130.-In mathematics:129 is the sum of the first ten prime numbers...
.
In mathematics
One hundred [and] twenty-eight is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct squaresSquare number
In mathematics, a square number, sometimes also called a perfect square, is an integer that is the square of an integer; in other words, it is the product of some integer with itself...
. But it is divisible by the total number of its divisors, making it a refactorable number
Refactorable number
A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that \tau|n. The first few refactorable numbers are listed in 1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96...
.
The sum of Euler's totient function
Euler's totient function
In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...
φ(x) over the first twenty integers is 128.
128 can be expressed by a combination of its digits with mathematical operators thus 128 = 28 - 1, making it a Friedman number
Friedman number
A Friedman number is an integer which, in a given base, is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators and sometimes exponentiation. For example, 347 is a Friedman number since 347 = 73 + 4...
in base 10.
A hepteract
Hepteract
In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces....
has 128 vertices
Vertex (geometry)
In geometry, a vertex is a special kind of point that describes the corners or intersections of geometric shapes.-Of an angle:...
.
128 is the only 3-digit number that is a 7th power. 2 to the 7th power.
In bar codes
- Code 128Code 128Code 128 is a very high-density barcode symbology. It is used for alphanumeric or numeric-only barcodes. It can encode all 128 characters of ASCII and, by use of an extension character , the Latin-1 characters defined in ISO/IEC 8859-1...
is a Uniform Symbology Specification (USS Code 128) alphanumeric bar code that encodes text, numbers, numerous functions, and designed to encode all 128 ASCII characters (ASCII 0 to ASCII 128.), as used in the shipping industry. - International Symbology Specification Code (ISS Code) 128 is the USS Code for encoding of extended non-English ASCII characters
- Subdivisions include:
- 128A (0-9, A-Z, ASCII control codes, special characters)
- 128B (0-9, A-Z, a-z, special characters)
- 128C (00-99 numeric characters)
- GS1-128GS1-128GS1-128 is an application standard of the GS1 implementation using the Code 128 barcode specification. The former correct name was UCC/EAN-128. Other no longer used names have included UCC-128 and EAN-128...
application standard of the GS1GS1Founded in 1977, GS1 is an international not-for-profit association dedicated to the development and implementation of global standards and solutions to improve the efficiency and visibility of supply and demand chains globally and across multiple sectors...
implementation using the Code 128Code 128Code 128 is a very high-density barcode symbology. It is used for alphanumeric or numeric-only barcodes. It can encode all 128 characters of ASCII and, by use of an extension character , the Latin-1 characters defined in ISO/IEC 8859-1...
barcodeBarcodeA barcode is an optical machine-readable representation of data, which shows data about the object to which it attaches. Originally barcodes represented data by varying the widths and spacings of parallel lines, and may be referred to as linear or 1 dimensional . Later they evolved into rectangles,...
specification - ISBT 128ISBT 128ISBT 128 is a system for identification, labeling and processing of human blood, tissue, and cellular therapy products using an internationally standardized system. The acronym ISBT stands for the International Society of Blood Transfusion...
system for blood product labeling for the International Society of Blood TransfusionInternational Society of Blood TransfusionThe International Society of Blood Transfusion , is a scientific society, founded in 1935, which aims to promote the study of blood transfusion, and to spread the know-how about the manner in which blood transfusion medicine and science best can serve the patient's interests. The society's central...
In computing
- 128-bit128-bitThere are currently no mainstream general-purpose processors built to operate on 128-bit integers or addresses, though a number of processors do operate on 128-bit data. The IBM System/370 could be considered the first rudimentary 128-bit computer as it used 128-bit floating point registers...
key sizeKey sizeIn cryptography, key size or key length is the size measured in bits of the key used in a cryptographic algorithm . An algorithm's key length is distinct from its cryptographic security, which is a logarithmic measure of the fastest known computational attack on the algorithm, also measured in bits...
encryptionAdvanced Encryption StandardAdvanced Encryption Standard is a specification for the encryption of electronic data. It has been adopted by the U.S. government and is now used worldwide. It supersedes DES...
for secure communications over the Internet- IPv6IPv6Internet Protocol version 6 is a version of the Internet Protocol . It is designed to succeed the Internet Protocol version 4...
uses 128-bit (16-byte) addresses - Any bitBitA bit is the basic unit of information in computing and telecommunications; it is the amount of information stored by a digital device or other physical system that exists in one of two possible distinct states...
with a binary prefixBinary prefixIn computing, a binary prefix is a specifier or mnemonic that is prepended to the units of digital information, the bit and the byte, to indicate multiplication by a power of 2...
is 128 byteByteThe byte is a unit of digital information in computing and telecommunications that most commonly consists of eight bits. Historically, a byte was the number of bits used to encode a single character of text in a computer and for this reason it is the basic addressable element in many computer...
s of a lesser binary prefix value, such as 1 gibibitGibibitThe gibibit is a multiple of the bit, a unit of digital information storage, prefixed by the standards-based multiplier gibi , a binary prefix meaning 230. The unit symbol of the gibibit is Gibit or Gib....
is 128 mebibyteMebibyteThe mebibyte is a multiple of the unit byte for digital information. The binary prefix mebi means 220, therefore 1 mebibyte is . The unit symbol for the mebibyte is MiB. The unit was established by the International Electrotechnical Commission in 2000 and has been accepted for use by all major...
s - 128-bit integers, memory addresses, or other data units are those that are at most 128 bits 16 octets wide
- IPv6
- ASCIIASCIIThe American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...
includes definitions for 128 charactersCharacter (computing)In computer and machine-based telecommunications terminology, a character is a unit of information that roughly corresponds to a grapheme, grapheme-like unit, or symbol, such as in an alphabet or syllabary in the written form of a natural language....
(33 non-printing characters, mostly obsolete control characters that affect how text is processed, and 94 printable) - CAST-128CAST-128in cryptography, CAST-128 is a block cipher used in a number of products, notably as the default cipher in some versions of GPG and PGP. It has also been approved for Canadian government use by the Communications Security Establishment...
is a block cipherBlock cipherIn cryptography, a block cipher is a symmetric key cipher operating on fixed-length groups of bits, called blocks, with an unvarying transformation. A block cipher encryption algorithm might take a 128-bit block of plaintext as input, and output a corresponding 128-bit block of ciphertext...
used in a number of products, notably as the default cipherCipherIn cryptography, a cipher is an algorithm for performing encryption or decryption — a series of well-defined steps that can be followed as a procedure. An alternative, less common term is encipherment. In non-technical usage, a “cipher” is the same thing as a “code”; however, the concepts...
in some versions of GPGGNU Privacy GuardGNU Privacy Guard is a GPL Licensed alternative to the PGP suite of cryptographic software. GnuPG is compliant with RFC 4880, which is the current IETF standards track specification of OpenPGP...
and PGPPretty Good PrivacyPretty Good Privacy is a data encryption and decryption computer program that provides cryptographic privacy and authentication for data communication. PGP is often used for signing, encrypting and decrypting texts, E-mails, files, directories and whole disk partitions to increase the security...
. - Graphics cards have a 128-bit or 256-bit data bus to memory.
- Atari 2600Atari 2600The Atari 2600 is a video game console released in October 1977 by Atari, Inc. It is credited with popularizing the use of microprocessor-based hardware and cartridges containing game code, instead of having non-microprocessor dedicated hardware with all games built in...
consoles have 128 bytes of memory - SonySony, commonly referred to as Sony, is a Japanese multinational conglomerate corporation headquartered in Minato, Tokyo, Japan and the world's fifth largest media conglomerate measured by revenues....
's PlayStation 2PlayStation 2The PlayStation 2 is a sixth-generation video game console manufactured by Sony as part of the PlayStation series. Its development was announced in March 1999 and it was first released on March 4, 2000, in Japan...
Emotion EngineEmotion EngineThe Emotion Engine is a CPU developed and manufactured by Sony Computer Entertainment and Toshiba for use in the Sony PlayStation 2 video game console, as well as early PlayStation 3 models sold in Japan and North America...
CPU has two 128-bit vector units - Macintosh 128KMacintosh 128KThe Macintosh 128K machine, released as the "Apple Macintosh", was the original Apple Macintosh personal computer. Its beige case contained a monitor and came with a keyboard and mouse. An indentation in the top of the case made it easier for the computer to be lifted and carried. It had a selling...
was the original Apple Macintosh personal computer released in 1984 - Laser 128Laser 128The Laser 128 was a clone of the Apple II series of personal computers, first released by VTech in 1984. Unlike the Apple II clones from Franklin, VTech reverse-engineered the Apple ROMs using a clean room design rather than copying them...
released by VTechVTechVTech is the common name of Video Technology Ltd. , a Hong Kong-based manufacturer of consumer electronics...
was a clone of the Apple IIApple IIThe Apple II is an 8-bit home computer, one of the first highly successful mass-produced microcomputer products, designed primarily by Steve Wozniak, manufactured by Apple Computer and introduced in 1977...
released in 1984 - Commodore 128Commodore 128The Commodore 128 home/personal computer was the last 8-bit machine commercially released by Commodore Business Machines...
homeHome computerHome computers were a class of microcomputers entering the market in 1977, and becoming increasingly common during the 1980s. They were marketed to consumers as affordable and accessible computers that, for the first time, were intended for the use of a single nontechnical user...
/personal computer which had a 128 KB of memory released in 1985 - Enterprise Zilog Z80Zilog Z80The Zilog Z80 is an 8-bit microprocessor designed by Zilog and sold from July 1976 onwards. It was widely used both in desktop and embedded computer designs as well as for military purposes...
home computerHome computerHome computers were a class of microcomputers entering the market in 1977, and becoming increasingly common during the 1980s. They were marketed to consumers as affordable and accessible computers that, for the first time, were intended for the use of a single nontechnical user...
released in 1985 - Jane 128Jane (software)Jane 128 was a GUI-based integrated software package for the Commodore 128 personal computer developed by Arktronics and released by Commodore International in 1985...
was a GUIGuiGui or guee is a generic term to refer to grilled dishes in Korean cuisine. These most commonly have meat or fish as their primary ingredient, but may in some cases also comprise grilled vegetables or other vegetarian ingredients. The term derives from the verb, "gupda" in Korean, which literally...
-based integrated softwareIntegrated softwareIntegrated software is software for personal computers that combines the most commonly used functions of many productivity software programs into one application....
package for the Commodore 128Commodore 128The Commodore 128 home/personal computer was the last 8-bit machine commercially released by Commodore Business Machines...
personal computer released in 1985 - RIVA 128RIVA 128Released in late 1997 by Nvidia, the RIVA 128, or "NV3", was one of the first consumer graphics processing units to integrate 3D acceleration in addition to traditional 2D and video acceleration...
(Real-time Interactive Video and Animation accelerator) was one of the first consumer graphics chips to integrate 3D and video acceleration in 1997 - Super Mario 128Super Mario 128Super Mario 128 is a cancelled video game name of a series of development projects that were originally to be used only to create a sequel to Super Mario 64...
is a cancelled NintendoNintendois a multinational corporation located in Kyoto, Japan. Founded on September 23, 1889 by Fusajiro Yamauchi, it produced handmade hanafuda cards. By 1963, the company had tried several small niche businesses, such as a cab company and a love hotel....
game, though many elements were included in Super Mario GalaxySuper Mario Galaxyis a 3D platform game developed by Nintendo EAD Tokyo and published by Nintendo for the Wii. It was released in most regions in November 2007, and is the third 3D original platformer in the Mario series, after Super Mario 64 and Super Mario Sunshine. The game follows the protagonist, Mario, on a...
and PikminPikminis a strategy video game developed and published by Nintendo for the Nintendo GameCube video game console in 2001. Pikmin is the first game in the Pikmin series of video games, and the third game for the Gamecube overall. It was designed by Shigeru Miyamoto. Pikmin was released on October 26, 2001...
.
In the military
- USNS Mission San Luis Rey (T-AO-128) was a United States Navy Mission Buenaventura class fleet oiler fleet oilers during World War II
- USS Arenac (APA-128)USS Arenac (APA-128)USS Arenac was a of the US Navy. She was built and used during World War II. She was of the VC2-S-AP5 Victory ship design type...
was a United States NavyUnited States NavyThe United States Navy is the naval warfare service branch of the United States Armed Forces and one of the seven uniformed services of the United States. The U.S. Navy is the largest in the world; its battle fleet tonnage is greater than that of the next 13 largest navies combined. The U.S...
Haskell-classHaskell class attack transportHaskell-class attack transports were amphibious assault ships of the United States Navy created in 1944. They were designed to transport 1,500 troops and their combat equipment, and land them on hostile shores with the ships' integral landing craft....
attack transportAttack transportAttack Transport is a United States Navy ship classification.-History:In the early 1940s, as the United States Navy expanded in response to the threat of involvement in World War II, a number of civilian passenger ships and some freighters were acquired, converted to transports and given hull...
during World War II - USS Cavallaro (APD-128)USS Cavallaro (APD-128)USS Cavallaro was a of the United States Navy, named after Ensign Salvatore John Cavallaro , who was posthumously awarded the Navy Cross for his gallant service in the invasion of Sicily....
was a United States NavyUnited States NavyThe United States Navy is the naval warfare service branch of the United States Armed Forces and one of the seven uniformed services of the United States. The U.S. Navy is the largest in the world; its battle fleet tonnage is greater than that of the next 13 largest navies combined. The U.S...
Crosley-class high speed transportHigh speed transportHigh Speed Transports were converted destroyers and destroyer escorts used to support amphibious operations in World War II and afterward. They received the US Hull classification symbol APD; "AP" for transport and "D" for destroyer....
ship - USS Leonis (AK-128)USS Leonis (AK-128)USS Leonis was a in service with the United States Navy in World War II. It was the only ship of the Navy to have borne this name, the Latin form of the northern constellation Leo....
was a United States Navy Crater-classCrater class cargo shipCrater-class cargo ship is a category of freighter that was constructed for use by the United States Navy during World War II under Maritime Commission EC2-S-C1 type....
cargo shipCargo shipA cargo ship or freighter is any sort of ship or vessel that carries cargo, goods, and materials from one port to another. Thousands of cargo carriers ply the world's seas and oceans each year; they handle the bulk of international trade...
during World War II - USS Velocity (AM-128)USS Velocity (AM-128)USS Velocity was an acquired by the United States Navy for the dangerous task of removing mines from minefields laid in the water to prevent ships from passing. She was the second warship to bear the name....
was a United States Navy Auk-classAuk class minesweeperThe Auk class were Allied minesweepers serving with the United States Navy and the British Royal Navy during the Second World War. In total, there were 95 Auks built.-Design and development:...
minesweeperMinesweeper (ship)A minesweeper is a small naval warship designed to counter the threat posed by naval mines. Minesweepers generally detect then neutralize mines in advance of other naval operations.-History:...
which removed mines from minefields laid in the water
In transportation
- A small car manufactured by Fiat, the Fiat 128Fiat 128The Fiat 128 is a small family car manufactured by the Italian manufacturer Fiat from 1969 to 1985. The engine was designed by the famous Ferrari racing engine designer Aurelio Lampredi.-History:...
from 1969 to 1985. SEAT 128SEAT 128The SEAT 128 is a 3-door hatchback coupé from the Spanish automaker SEAT launched in 1976. Being essentially the three-door hatchback version of the Fiat 128, it was available with two engine options in Spain, the 1.2L and the more powerful and well-known 1430 engine...
was a 2-door coupéCoupéA coupé or coupe is a closed car body style , the precise definition of which varies from manufacturer to manufacturer, and over time...
version of the car - The BMWBMWBayerische Motoren Werke AG is a German automobile, motorcycle and engine manufacturing company founded in 1916. It also owns and produces the Mini marque, and is the parent company of Rolls-Royce Motor Cars. BMW produces motorcycles under BMW Motorrad and Husqvarna brands...
128i convertible - Massachusetts Route 128, Boston's inner beltway, approximately 10-mile radius.
- Route 128 StationRoute 128 (MBTA station)Route 128 is a station on the Massachusetts Bay Transportation Authority Providence/Stoughton MBTA Commuter Rail line, with inbound service to Back Bay and South Station in Boston and outbound service towards either Stoughton or TF Green Airport. It is also known as "University Park" station...
is a stop on the Massachusetts Bay Transportation AuthorityMassachusetts Bay Transportation AuthorityThe Massachusetts Bay Transportation Authority, often referred to as the MBTA or simply The T, is the public operator of most bus, subway, commuter rail and ferry systems in the greater Boston, Massachusetts, area. Officially a "body politic and corporate, and a political subdivision" of the...
AttleboroAttleboro, MassachusettsAttleboro is a city in Bristol County, Massachusetts, United States and is immediately north of Pawtucket, Rhode Island. Once known as "The Jewelry Capital of the World" for its many jewelry manufacturers, Attleboro had a population of 42,068 at the 2000 census, and a population of 43,645 as of...
/ProvidenceProvidence, Rhode IslandProvidence is the capital and most populous city of Rhode Island and was one of the first cities established in the United States. Located in Providence County, it is the third largest city in the New England region...
MBTA Commuter RailMBTA Commuter RailThe MBTA Commuter Rail serves as the regional rail arm of the Massachusetts Bay Transportation Authority, in the United States. It is operated under contract by the Massachusetts Bay Commuter Railroad Company a joint partnership of Veolia Transportation, Bombardier Transportation and Alternate...
line in Westwood, MassachusettsWestwood, MassachusettsWestwood is a town in Norfolk County, Massachusetts, United States. The population was 14,618 at the 2010 census. In July 2005, CNN/Money and Money magazine ranked Westwood 13th on its list of the 100 Best Places to Live in the United States. Boston Magazine listed Gay Street in Westwood on its... - STS-128STS-128-Crew notes:Nicole Stott was originally scheduled to return aboard Soyuz TMA-15, but a change in the flight plan was made due to the possible flight delays in future shuttle missions, which may extend Canadian astronaut Robert Thirsk's mission beyond the six-month duration preferred for station...
is a currently flying Space Shuttle DiscoverySpace Shuttle DiscoverySpace Shuttle Discovery is one of the retired orbiters of the Space Shuttle program of NASA, the space agency of the United States, and was operational from its maiden flight, STS-41-D on August 30, 1984, until its final landing during STS-133 on March 9, 2011...
mission to the International Space StationInternational Space StationThe International Space Station is a habitable, artificial satellite in low Earth orbit. The ISS follows the Salyut, Almaz, Cosmos, Skylab, and Mir space stations, as the 11th space station launched, not including the Genesis I and II prototypes...
for 2009
In other fields
One hundred [and] twenty-eight is also:- The year AD 128 or 128 BC
- 128 AH is a year in the Islamic calendarIslamic calendarThe Hijri calendar , also known as the Muslim calendar or Islamic calendar , is a lunar calendar consisting of 12 lunar months in a year of 354 or 355 days. It is used to date events in many Muslim countries , and used by Muslims everywhere to determine the proper day on which to celebrate Islamic...
that corresponds to 745 – 746 CECommon EraCommon Era ,abbreviated as CE, is an alternative designation for the calendar era originally introduced by Dionysius Exiguus in the 6th century, traditionally identified with Anno Domini .Dates before the year 1 CE are indicated by the usage of BCE, short for Before the Common Era Common Era... - 128 Nemesis128 Nemesis128 Nemesis is a very large and very dark main-belt asteroid, of carbonaceous composition. It rotates rather slowly, taking about one and half Earth days to complete one revolution. Nemesis is the largest member of the Nemesian asteroid family bearing its name. It was discovered by J. C...
is a main belt asteroid - Ross 128Ross 128Ross 128 is a red dwarf star that is the eleventh closest star system to the Solar System, at a distance of 10.89 light years. It was first cataloged in 1926 by Frank Elmore Ross....
is a red dwarf star, eleventh closest star system to the Solar System - 128P/Shoemaker-Holt128P/Shoemaker-Holt128P/Shoemaker-Holt, also known as Shoemaker-Holt 1, is a periodic comet in the solar system.- External links :*...
is a periodic comet in the Solar system - The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of unbioctium, an element yet to be discovered. - The number of musical instruments specified in General MIDIGeneral MIDIGeneral MIDI or GM is a standardized specification for music synthesizers that respond to MIDI messages. GM was developed by the MIDI Manufacturers Association and the Japan MIDI Standards Committee and first published in 1991...
. Sometimes they are numbered 0 to 127 and sometimes they are numbered 1 to 128. - 128 film, a film format
- Sonnet 128Sonnet 128-Synopsis:Sonnet 128 is the 128th of William Shakespeare’s sonnets, and the second of two musical sonnets. Its number suggests, like Sonnet 8, the octave of the scale as well as the 12 notes on the keyboard inside each octave -Synopsis:Sonnet 128 is the 128th of William Shakespeare’s sonnets, and...
by William ShakespeareWilliam ShakespeareWilliam Shakespeare was an English poet and playwright, widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's national poet and the "Bard of Avon"... - In music, a hundred twenty-eighth noteHundred twenty-eighth noteIn music, a hundred twenty-eighth note or semihemidemisemiquaver or quasihemidemisemiquaver is a note played for 1/128 of the duration of a whole note . It lasts half as long as a sixty-fourth note . It has a total of five flags or beams.Notes this short are very rare in printed music, but not...
is a noteNoteIn music, the term note has two primary meanings:#A sign used in musical notation to represent the relative duration and pitch of a sound;#A pitched sound itself....
played for 1/128 of the duration of a whole noteWhole notethumb|right|250px|Figure 1. A whole note and a whole rest.In music, a whole note or semibreve is a note represented by a hollow oval note head, like a half note , and no note stem . Its length is equal to four beats in 4/4 time... - 128 is a sacred number honored by Beans for many generations
See also
- 128th (disambiguation)
- List of highways numbered 128
- United Nations Security Council Resolution 128United Nations Security Council Resolution 128United Nations Security Council Resolution 128 was adopted on June 11, 1958. Having heard charges from the representative of Lebanon concerning interference by the United Arab Republic in the internal affairs of Lebanon, the Council decided to dispatch an observation group to Lebanon to ensure...