138631966090675200

138,631,966,090,675,200 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138631966090675200 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 11880 divisors.

138631966090675200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eleven thousand, eight hundred eighty divisors.

Prime factorization of 138631966090675200:

210 × 33 × 52 × 11 × 134 × 172 × 472

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 17 × 17 × 47 × 47)

See below for interesting mathematical facts about the number 138631966090675200 from the Numbermatics database.


Names of 138631966090675200

  • Cardinal: 138631966090675200 can be written as One hundred thirty-eight quadrillion, six hundred thirty-one trillion, nine hundred sixty-six billion, ninety million, six hundred seventy-five thousand, two hundred.

Scientific notation

  • Scientific notation: 1.386319660906752 × 1017

Factors of 138631966090675200

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 98

Divisors of 138631966090675200

Bases of 138631966090675200

  • Binary: 1111011001000010100001001111001010101100101000100000000002
  • Hexadecimal: 0x1EC8509E5594400
  • Base-36: 11X0XI0N3EO0

Squares and roots of 138631966090675200

  • 138631966090675200 squared (1386319660906752002) is 19218822022166118495108391895040000
  • 138631966090675200 cubed (1386319660906752003) is 2664343082879655116190154979275513305401131008000000
  • The square root of 138631966090675200 is 372333138.5878447431
  • The cube root of 138631966090675200 is 517552.5596729213

Scales and comparisons

How big is 138631966090675200?
  • 138,631,966,090,675,200 seconds is equal to 4,408,067,704 years, 44 weeks, 4 days.
  • To count from 1 to 138,631,966,090,675,200 would take you about thirteen billion, two hundred twenty-four million, two hundred three thousand, one hundred fourteen years!

    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 138631966090675200 cubic inches would be around 43129.4 feet tall.

Recreational maths with 138631966090675200

  • 138631966090675200 backwards is 002576090669136831
  • 138631966090675200 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138631966090675200's digits is 72
  • More coming soon!

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"Number 138631966090675200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138631966090675200 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138631966090675200/

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The information we have on file for 138631966090675200 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 138631966090675200, math, Factors of 138631966090675200, curriculum, school, college, exams, university, Prime factorization of 138631966090675200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred thirty-one trillion, nine hundred sixty-six billion, ninety million, six hundred seventy-five thousand, two hundred.

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