World Library  
Flag as Inappropriate
Email this Article

128 (number)

Article Id: WHEBN0000562475
Reproduction Date:

Title: 128 (number)  
Author: World Heritage Encyclopedia
Language: English
Subject: 129 (number), 127 (number), 122 (number), 126 (number), 7 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia
Publication
Date:
 

128 (number)

127 128 129
Cardinal one hundred twenty-eight
Ordinal 128th
(one hundred and twenty-eighth)
Factorization 27
Divisors 1, 2, 4, 8, 16, 32, 64, 128
Roman numeral CXXVIII
Binary 100000002
Ternary 112023
Quaternary 20004
Quinary 10035
Senary 3326
Octal 2008
Duodecimal A812
Hexadecimal 8016
Vigesimal 6820
Base 36 3K36

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

Contents

  • In mathematics 1
  • In bar codes 2
  • In computing 3
  • In the military 4
  • In transportation 5
  • In other fields 6
  • See also 7
  • Notes 8
  • References 9
  • External links 10

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.[1][2] But 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 = 28 - 1, making it a Friedman number in base 10.[5]

A hepteract has 128 vertices.

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

In bar codes

  • 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.

In computing

In the military

In transportation

In other fields

One hundred [and] twenty-eight is also:

See also

Notes

  1. ^ Sprague, R. (1948), "Über Zerlegungen in ungleiche Quadratzahlen", Math. Z. 51 (3): 289–290,  
  2. ^ OEIS:A001422. Similarly, the largest numbers that cannot be expressed as sums of distinct cubes and fourth powers, respectively, are 12758 and 5134240 (sequence A001661 in OEIS).
  3. ^ OEIS:A033950.
  4. ^ OEIS:A002088.
  5. ^ OEIS:A036057.

References

External links

  • Code 128 specification at OpenBarcode.org
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.