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 ...

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. However, it is divisible by the total number of its divisors, making it a refactorable number. The sum of Euler's totient function 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, pa ...

in base 10. OEIS:A036057. A hepteract 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 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 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 faste ...

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 de ...

for secure communications over the Internet **

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

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 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 uni ...

s of a lesser binary prefix value, such as 1 gibibit is 128 mebibytes ** 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 ...

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 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 used in a number of products, notably as the default cipher in some versions of GPG and PGP. *

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 microprocesso ...

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 professiona ...

's PlayStation 2 Emotion Engine CPU has two 128-bit vector units * Macintosh 128K, the original

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

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 ...

, a clone of the Apple II released in 1984 * Commodore 128, a home/personal computer which had a 128 KB of memory released in 1985 * Enterprise 128

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 were ...

, a home computer released in 1985 * Jane 128, a GUI-based integrated software package for the Commodore 128 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 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 1 ...

'' and '' Pikmin''

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, a small car manufactured by Fiat from 1969 to 1985. * SEAT 128, a 2-door coupé version of the Fiat 128 * The BMW 128i convertible * 128 is the number of many roads, including Massachusetts Route 128,

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 in Massachusetts, Interstate 95/US Route 1/Massachusetts Route 128, Route 128 at the ...

is a stop on the Massachusetts Bay Transportation Authority Attleboro/ Providence MBTA Commuter Rail line in Westwood, Massachusetts *

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'' contain ...

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 ...

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 Committe ...

. 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 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 o ...

* 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