128 is an even composite number. It is composed of a single prime number multiplied by itself six times.

What does the number 128 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 8 divisors.

128 is an even composite number. It is composed of one distinct prime number multiplied by itself six times. It has a total of eight divisors.

Prime factorization of 128:


(2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 128 from the Numbermatics database.

Names of 128

  • Cardinal: 128 can be written as One hundred twenty-eight.

Scientific notation

  • Scientific notation: 1.28 × 102

Factors of 128

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 2

Divisors of 128

  • Number of divisors d(n): 8
  • Complete list of divisors:
    1 2 4 8 16 32 64 128
  • Sum of all divisors σ(n): 255
  • Sum of proper divisors (its aliquot sum) s(n): 127
  • 128 is a deficient number, because the sum of its proper divisors (127) is less than itself. Its deficiency is 1

Bases of 128

  • Binary: 100000002
  • Hexadecimal: 0x80
  • Base-36: 3K

Squares and roots of 128

  • 128 squared (1282) is 16384
  • 128 cubed (1283) is 2097152
  • The square root of 128 is 11.3137084991
  • The cube root of 128 is 5.0396841995

Scales and comparisons

How big is 128?
  • 128 seconds is equal to 2 minutes, 8 seconds.
  • To count from 1 to 128 would take you about four seconds.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 128 cubic inches would be around 0.4 feet tall.

Recreational maths with 128

  • 128 backwards is 821
  • The number of decimal digits it has is: 3
  • The sum of 128's digits is 11
  • More coming soon!

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"Number 128 - Facts about the integer". Numbermatics.com. 2024. Web. 5 March 2024.

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The information we have on file for 128 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 128, math, Factors of 128, curriculum, school, college, exams, university, Prime factorization of 128, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-eight.

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