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128 (number)

128 (one hundred [and] twenty-eight) is the natural number following 127 and preceding 129.

In mathematics[edit]

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.^[1][2] However, it is divisible by the total number of its divisors, making it a refactorable number.^[3]

The sum of Euler's totient function φ(x) over the first twenty integers is 128.^[4]

128 can be expressed by a combination of its digits with mathematical operators, thus 128 =2^{8 − 1}, making it a Friedman number in base 10.^[5]

Ahepteract has 128 vertices.

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

In bar codes[edit]

• Code 128 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 Code 128 barcode specification
  • ISBT 128 system for blood product labeling for the International Society of Blood Transfusion

In computing[edit]

• 128-bit key size encryption for secure communications over the Internet
  • IPv6 uses 128-bit (16-byte) addresses
  • Any bit with a binary prefix is 128 bytes 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

• Seven-segment displays have 128 possible states.
• ASCII includes definitions for 128 characters (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 is a block cipher used in a number of products, notably as the default cipher in some versions of GPG and PGP.
• Graphics cards have a 128-bit, 256-bit, or 512-bit data bus to memory.
• Atari 2600 consoles have 128 bytes of memory
• Sony's PlayStation 2 Emotion Engine CPU has two 128-bit vector units
• Macintosh 128K, the original Apple Macintosh personal computer released in 1984
• Laser 128, 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, 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 (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, a cancelled Nintendo game, though many elements were included in Super Mario Galaxy and Pikmin

In the military[edit]

• USNS Mission San Luis Rey (T-AO-128), a United States Navy Mission Buenaventura-class fleet oilers during World War II
• USS Arenac (APA-128), a United States Navy Haskell-class attack transport during World War II
• USS Cavallaro (APD-128), a United States Navy Crosley-class high speed transport
• USS Leonis (AK-128), a United States Navy Crater-class cargo ship during World War II
• USS Velocity (AM-128), a United States Navy Auk-class minesweeper which removed naval mines laid in the water

In transportation[edit]

• Fiat 128, a small car manufactured by Fiat from 1969 to 1985.
• SEAT 128, a 2-door coupe version of the Fiat 128
• The BMW 128i convertible
• 128 is the number of many roads, including Massachusetts Route 128, Boston's inner beltway.
• Route 128 Station is a stop on the Massachusetts Bay Transportation Authority Attleboro/Providence MBTA Commuter Rail line in Westwood, Massachusetts
• STS-128 was a Space Shuttle Discovery mission to the International Space Station in 2009

In other fields[edit]

One hundred [and] twenty-eight is also:

• The year AD 128 or 128 BC
• 128 AH, a year in the Islamic calendar 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 numberofunbioctium, an element yet to be discovered
• The number of musical instruments specified in General MIDI. Sometimes they are numbered 0 to 127 and sometimes they are numbered 1 to 128
• 128 film, a film format
• Sonnet 128byWilliam Shakespeare
• In music, a hundred twenty-eighth note is a note played for 1/128 of the duration of a whole note
• The number of US fluid ounces in a US gallon

See also[edit]

• 128th (disambiguation)
• List of highways numbered 128
• United Nations Security Council Resolution 128

Notes[edit]

References[edit]

External links[edit]

Wikimedia Commons has media related to 128 (number).

• Code 128 specification at OpenBarcode.org