128 (one hundred ndtwenty-eight) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...

following 127 and preceding 129.

In mathematics

128 is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct

squares In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adj ...

. However, it is divisible by the total number of its divisors, making it a

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)\mid n. The first few refactorable numbers are listed in as : 1, 2, 8, 9, 12, 18, ...

. The sum of

Euler's totient function In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ot ...

φ() over the first twenty integers is 128. 128 can be expressed by a combination of its digits with mathematical operators, thus 128 2^{8 − 1}, making it a

Friedman number A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, p ...

in base 10. OEIS:A036057. A

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. It can be named by its Schläfli symbol , bei ...

has 128 vertices. 128 is the only 3-digit number that is a 7th power (2⁷).

In bar codes

Code 128 Code 128 is a high-density linear barcode symbology defined in ISO/IEC 15417:2007. It is used for alphanumeric or numeric-only barcodes. It can encode all 128 characters of ASCII and, by use of an extension symbol (FNC4), the Latin-1 characters ...

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 127), as used in the shipping industry. * 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) **

GS1-128 Code 128 is a high-density linear barcode symbology defined in ISO/IEC 15417:2007. It is used for alphanumeric or numeric-only barcodes. It can encode all 128 characters of ASCII and, by use of an extension symbol (FNC4), the Latin-1 characters ...

application standard of the GS1 implementation using the

barcode A barcode or bar code is a method of representing data in a visual, machine-readable form. Initially, barcodes represented data by varying the widths, spacings and sizes of parallel lines. These barcodes, now commonly referred to as linear or o ...

specification **

ISBT 128 ISBT 128 is a global standard for the identification, labeling, and information transfer of medical products of human origin (MPHO) across international borders and disparate health care systems. MPHO includes blood, cells, tissues, human milk, and ...

system for blood product labeling for the

International Society of Blood Transfusion The International Society of Blood Transfusion (ISBT) is a scientific society founded in 1935, which promotes the study of blood transfusion and spreads reliable information about the ways in which blood transfusion medicine and science can bes ...

In computing

128-bit While there are currently no mainstream general-purpose processors built to operate on 128-bit ''integers'' or addresses, a number of processors do have specialized ways to operate on 128-bit chunks of data. Representation 128-bit processors co ...

key size In cryptography, key size, key length, or key space refer to the number of bits in a key used by a cryptographic algorithm (such as a cipher). Key length defines the upper-bound on an algorithm's security (i.e. a logarithmic measure of the fastest ...

encryption In cryptography, encryption is the process of encoding information. This process converts the original representation of the information, known as plaintext, into an alternative form known as ciphertext. Ideally, only authorized parties can decip ...

for secure communications over the Internet **

IPv6 Internet Protocol version 6 (IPv6) is the most recent version of the Internet Protocol (IP), the communication protocol, communications protocol that provides an identification and location system for computers on networks and routes traffic ...

uses 128-bit (16-byte) addresses ** Any

bit The bit is the most basic unit of information in computing and digital communications. The name is a portmanteau of binary digit. The bit represents a logical state with one of two possible values. These values are most commonly represente ...

with a

binary prefix A binary prefix is a unit prefix for multiples of units. It is most often used in data processing, data transmission, and digital information, principally in association with the bit and the byte, to indicate multiplication by a power of& ...

is 128

byte The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable unit ...

s of a lesser binary prefix value, such as 1

gibibit The bit is the most basic unit of information in computing and digital communications. The name is a portmanteau of binary digit. The bit represents a logical state with one of two possible values. These values are most commonly represented a ...

is 128

mebibyte The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable unit ...

s ** 128-bit integers, memory addresses, or other data units are those that are at most 128 bits 16 octets wide 7-segment

Seven-segment display A seven-segment display is a form of electronic display device for displaying decimal numerals that is an alternative to the more complex dot matrix displays. Seven-segment displays are widely used in digital clocks, electronic meters, basic ...

s have 128 possible states. *

ASCII ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...

includes definitions for 128

characters Character or Characters may refer to: Arts, entertainment, and media Literature * ''Character'' (novel), a 1936 Dutch novel by Ferdinand Bordewijk * ''Characters'' (Theophrastus), a classical Greek set of character sketches attributed to The ...

(33 non-printing characters, mostly obsolete

control characters In computing and telecommunication, a control character or non-printing character (NPC) is a code point (a number) in a character set, that does not represent a written symbol. They are used as in-band signaling to cause effects other than the ...

that affect how text is processed, and 94 printable) * A 128-bit integer can represent up to 3.40282366...e+38 values (2¹²⁸ 340,282,366,920,938,463,463,374,607,431,768,211,456). *

CAST-128 In cryptography, CAST-128 (alternatively CAST5) is a symmetric-key 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 Government of Canada use by the Communic ...

is a

block cipher In cryptography, a block cipher is a deterministic algorithm operating on fixed-length groups of bits, called ''blocks''. Block ciphers are specified cryptographic primitive, elementary components in the design of many cryptographic protocols and ...

used in a number of products, notably as the default

cipher In cryptography, a cipher (or cypher) 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''. To encipher or encode i ...

in some versions of GPG and

PGP PGP or Pgp may refer to: Science and technology * P-glycoprotein, a type of protein * Pelvic girdle pain, a pregnancy discomfort * Personal Genome Project, to sequence genomes and medical records * Pretty Good Privacy, a computer program for the ...

. *

Graphics cards A graphics card (also called a video card, display card, graphics adapter, VGA card/VGA, video adapter, display adapter, or mistakenly GPU) is an expansion card which generates a feed of output images to a display device, such as a computer moni ...

have a 128-bit, 256-bit, or 512-bit data bus to memory. *

Atari 2600 The Atari 2600, initially branded as the Atari Video Computer System (Atari VCS) from its release until November 1982, is a home video game console developed and produced by Atari, Inc. Released in September 1977, it popularized microprocessor- ...

consoles have 128 bytes of memory *

Sony , commonly stylized as SONY, is a Japanese multinational conglomerate corporation headquartered in Minato, Tokyo, Japan. As a major technology company, it operates as one of the world's largest manufacturers of consumer and professional ...

PlayStation 2 The PlayStation 2 (PS2) is a home video game console developed and marketed by Sony Computer Entertainment. It was first released in Japan on 4 March 2000, in North America on 26 October 2000, in Europe on 24 November 2000, and in Australia on 3 ...

Emotion Engine The Emotion Engine is a central processing unit developed and manufactured by Sony Computer Entertainment and Toshiba for use in the PlayStation 2 video game console. It was also used in early PlayStation 3 models sold in Japan and North America ...

CPU has two 128-bit vector units *

Macintosh 128K The Apple Macintosh—later rebranded as the Macintosh 128K—is the original Apple Inc., Apple Macintosh personal computer. It played a pivotal role in establishing desktop publishing as a general office function. The motherboard, a CRT monit ...

, the original

Apple Macintosh The Mac (known as Macintosh until 1999) is a family of personal computers designed and marketed by Apple Inc. Macs are known for their ease of use and minimalist designs, and are popular among students, creative professionals, and software en ...

personal computer released in 1984 *

Laser 128 The Laser 128 is an Apple II clone, released by VTech in 1986 and comparable to the Apple IIe and Apple IIc. Description VTech Laser 128 has 128 kB of RAM. Like the Apple IIc, it is a one-piece semi-portable design with a carrying handle and ...

, a clone of the

Apple II The Apple II (stylized as ) is an 8-bit home computer and one of the world's first highly successful mass-produced microcomputer products. It was designed primarily by Steve Wozniak; Jerry Manock developed the design of Apple II's foam-m ...

released in 1984 *

Commodore 128 The Commodore 128, also known as the C128, C-128, C= 128,The "C=" represents the graphical part of the logo. is the last 8-bit home computer that was commercially released by Commodore Business Machines (CBM). Introduced in January 1985 at the ...

, a

home A home, or domicile, is a space used as a permanent or semi-permanent residence for one or many humans, and sometimes various companion animals. It is a fully or semi sheltered space and can have both interior and exterior aspects to it. H ...

/personal computer which had a 128 KB of memory released in 1985 *

Enterprise 128 The Enterprise is a Zilog Z80-based home computer announced in 1983, but through a series of delays, not commercially available until 1985. The specification as released was powerful and one of the higher end in its class (though not by the m ...

Zilog Z80 The Z80 is an 8-bit microprocessor introduced by Zilog as the startup company's first product. The Z80 was conceived by Federico Faggin in late 1974 and developed by him and his 11 employees starting in early 1975. The first working samples wer ...

, a home computer released in 1985 * Jane 128, a

GUI The GUI ( "UI" by itself is still usually pronounced . or ), graphical user interface, is a form of user interface that allows users to interact with electronic devices through graphical icons and audio indicator such as primary notation, inste ...

-based

integrated software Integrated software is a software for personal computers that combines the most commonly used functions of many productivity software programs into one application. The integrated software genre has been largely overshadowed by fully functional o ...

package for the

personal computer released in 1985 *

RIVA 128 Released in August 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. Its name is an acronym for ''Real-time Interactiv ...

(Real-time Interactive Video and Animation accelerator), one of the first consumer graphics chips to integrate 3D and video acceleration in 1997 * ''

Super Mario 128 ''Super Mario 128'' was a codename for two different development projects at Nintendo. The name was first used in 1997 for a sequel to '' Super Mario 64'' for the 64DD, which was canceled. The name was reused for a GameCube tech demo at the N ...

'', a cancelled

Nintendo is a Japanese Multinational corporation, multinational video game company headquartered in Kyoto, Japan. It develops video games and video game consoles. Nintendo was founded in 1889 as by craftsman Fusajiro Yamauchi and originally produce ...

game, though many elements were included in ''

Super Mario Galaxy is a 2007 platform game developed and published by Nintendo for the Wii. It is the third 3D game in the '' Super Mario'' series. As Mario, the player embarks on a quest to rescue Princess Peach, save the universe from Bowser, and collect 120 ...

'' and ''

Pikmin is a real-time strategy and puzzle video game series created by Shigeru Miyamoto, and published by Nintendo. The games focus on directing a horde of plant-like creatures called Pikmin in order to collect items by destroying obstacles, avoiding ...

In the military

* , a

United States Navy The United States Navy (USN) is the maritime service branch of the United States Armed Forces and one of the eight uniformed services of the United States. It is the largest and most powerful navy in the world, with the estimated tonnage ...

''Mission Buenaventura''-class

fleet oiler A replenishment oiler or replenishment tanker is a naval auxiliary ship with fuel tanks and dry cargo holds which can supply both fuel and dry stores during underway replenishment (UNREP) at sea. Many countries have used replenishment oilers. The ...

s during World War II * , a United States Navy during World War II * , a United States Navy * , a United States Navy during World War II * , a United States Navy which removed naval mines laid in the water

In transportation

Fiat 128 The Fiat 128 is a transverse front-engine, front wheel drive small family car manufactured and marketed by Fiat from 1969 to 1985 as a two- or four-door sedan, three- or five-door station wagon as well as two- or three-door coupé. The 128 runni ...

, a small car manufactured by Fiat from 1969 to 1985. * SEAT 128, a 2-door

coupé A coupe or coupé (, ) is a passenger car with a sloping or truncated rear roofline and two doors. The term ''coupé'' was first applied to horse-drawn carriages for two passengers without rear-facing seats. It comes from the French past parti ...

version of the

* The BMW 128i convertible * 128 is the number of many roads, including

Massachusetts Route 128 Route 128, known as the Yankee Division Highway, is a state highway in the U.S. state of Massachusetts maintained by the Highway Division of the Massachusetts Department of Transportation (MassDOT). Spanning , it is one of two beltways (the othe ...

Boston Boston (), officially the City of Boston, is the state capital and most populous city of the Commonwealth of Massachusetts, as well as the cultural and financial center of the New England region of the United States. It is the 24th- mo ...

's inner beltway. *

Route 128 Station Route 128 station (sometimes titled Route 128/University Park) is a passenger rail station located at the crossing of the Northeast Corridor and Interstate 95/US Route 1/Route 128 at the eastern tip of Dedham and Westwood, Massachusetts, Unit ...

is a stop on the

Massachusetts Bay Transportation Authority The Massachusetts Bay Transportation Authority (abbreviated MBTA and known colloquially as "the T") is the public agency responsible for operating most public transportation services in Greater Boston, Massachusetts. The MBTA transit network in ...

Attleboro/

Providence Providence often refers to: * Providentia, the divine personification of foresight in ancient Roman religion * Divine providence, divinely ordained events and outcomes in Christianity * Providence, Rhode Island, the capital of Rhode Island in the ...

MBTA Commuter Rail The MBTA Commuter Rail system serves as the commuter rail arm of the Massachusetts Bay Transportation Authority's transportation coverage of Greater Boston in the United States. Trains run over of track to 141 different stations, with 58 statio ...

line in

Westwood, Massachusetts Westwood is a town in Norfolk County, Massachusetts, United States. The population was 16,266 at the time of the 2020 United States Census. History Westwood was first settled in 1641 and was part of the town of Dedham, originally called 'West De ...

STS-128 STS-128 ( ISS assembly flight 17A) was a NASA Space Shuttle mission to the International Space Station (ISS) that launched on August 28, 2009. carried the Multi-Purpose Logistics Module ''Leonardo'' as its primary payload. ''Leonardo'' contained ...

was a Space Shuttle ''Discovery'' mission to the

International Space Station The International Space Station (ISS) is the largest modular space station currently in low Earth orbit. It is a multinational collaborative project involving five participating space agencies: NASA (United States), Roscosmos (Russia), JAXA ...

in 2009

In other fields

One hundred ndtwenty-eight is also: * The year AD 128 or 128 BC * 128 AH, a year in the

Islamic calendar The Hijri calendar ( ar, ٱلتَّقْوِيم ٱلْهِجْرِيّ, translit=al-taqwīm al-hijrī), also known in English as the Muslim calendar and Islamic calendar, is a lunar calendar consisting of 12 lunar months in a year of 354 or ...

that corresponds to 745 – 746 CE * 128 Nemesis, a main-belt asteroid * Ross 128, a red dwarf star, the eleventh closest star system to the Solar System * 128P/Shoemaker-Holt, a periodic comet in the Solar system * The

atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...

of unbioctium, an element yet to be discovered * The number of

musical instruments A musical instrument is a device created or adapted to make musical sounds. In principle, any object that produces sound can be considered a musical instrument—it is through purpose that the object becomes a musical instrument. A person who pl ...

specified in

General MIDI General MIDI (also known as GM or GM 1) is a standardized specification for electronic musical instruments that respond to MIDI messages. GM was developed by the American MIDI Manufacturers Association (MMA) and the Japan MIDI Standards Committ ...

. Sometimes they are numbered 0 to 127 and sometimes they are numbered 1 to 128 * 128 film, a film format * Sonnet 128 by

William Shakespeare William Shakespeare ( 26 April 1564 – 23 April 1616) was an English playwright, poet and actor. He is widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's nation ...

* In music, a

hundred twenty-eighth note In music, a hundred twenty-eighth note or semihemidemisemiquaver or quasihemidemisemiquaver is a note played for 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. Since huma ...

is a

note Note, notes, or NOTE may refer to: Music and entertainment * Musical note, a pitched sound (or a symbol for a sound) in music * ''Notes'' (album), a 1987 album by Paul Bley and Paul Motian * ''Notes'', a common (yet unofficial) shortened version ...

played for 1/128 of the duration of a

whole note A whole note (American) or semibreve (British) in musical notation is a single note equivalent to or lasting as long as two half notes or four quarter notes. Description The whole note or semibreve has a note head in the shape of a hollow ov ...

* The number of US fluid ounces in a

US gallon The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use: *the imperial gallon (imp gal), defined as , which is or was used in the United Kingdom, Ireland, Canada, Austral ...

Notes

References

* Wells, D. ''

The Penguin Dictionary of Curious and Interesting Numbers ''The Penguin Dictionary of Curious and Interesting Numbers'' is a reference book for recreational mathematics and elementary number theory written by David Wells. The first edition was published in paperback by Penguin Books in 1986 in the UK, ...

'' London: Penguin Group. (1987): 138

External links

Code 128 specification at OpenBarcode.org
{{DEFAULTSORT:128 (Number) Integers