128 (number)

Last updated
127 128 129
Cardinal one hundred twenty-eight
Ordinal 128th
(one hundred twenty-eighth)
Factorization 27
Divisors 1, 2, 4, 8, 16, 32, 64, 128
Greek numeral ΡΚΗ´
Roman numeral CXXVIII
Binary 100000002
Ternary 112023
Senary 3326
Octal 2008
Duodecimal A812
Hexadecimal 8016

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

Contents

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] 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 = 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

In computing

All 128 possible states of the seven-segment display. 7-segment.svg
All 128 possible states of the seven-segment display.

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, doi:10.1007/BF01181594, MR   0027285, S2CID   123515191
  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 the OEIS ).
  3. OEIS:A033950.
  4. OEIS:A002088.
  5. OEIS:A036057.

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