138971697933213600

138,971,697,933,213,600 is an even composite number composed of eleven prime numbers multiplied together.

What does the number 138971697933213600 look like?

This visualization shows the relationship between its 11 prime factors (large circles) and 13824 divisors.

138971697933213600 is an even composite number. It is composed of eleven distinct prime numbers multiplied together. It has a total of thirteen thousand, eight hundred twenty-four divisors.

Prime factorization of 138971697933213600:

25 × 3 × 52 × 7 × 13 × 29 × 312 × 37 × 43 × 113 × 127

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 29 × 31 × 31 × 37 × 43 × 113 × 127)

See below for interesting mathematical facts about the number 138971697933213600 from the Numbermatics database.


Names of 138971697933213600

  • Cardinal: 138971697933213600 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-one trillion, six hundred ninety-seven billion, nine hundred thirty-three million, two hundred thirteen thousand, six hundred.

Scientific notation

  • Scientific notation: 1.389716979332136 × 1017

Factors of 138971697933213600

  • Number of distinct prime factors ω(n): 11
  • Total number of prime factors Ω(n): 17
  • Sum of prime factors: 410

Divisors of 138971697933213600

Bases of 138971697933213600

  • Binary: 1111011011011101000000101111000010010010001011111101000002
  • Hexadecimal: 0x1EDBA05E1245FA0
  • Base-36: 120DCSO6IXEO

Squares and roots of 138971697933213600

  • 138971697933213600 squared (1389716979332136002) is 19313132826440365181846023224960000
  • 138971697933213600 cubed (1389716979332136003) is 2683978861300102230861443816939285936568531456000000
  • The square root of 138971697933213600 is 372789079.6861056121
  • The cube root of 138971697933213600 is 517974.9866590917

Scales and comparisons

How big is 138971697933213600?
  • 138,971,697,933,213,600 seconds is equal to 4,418,870,126 years, 30 weeks, 4 days, 20 hours, 40 minutes.
  • To count from 1 to 138,971,697,933,213,600 would take you about thirteen billion, two hundred fifty-six million, six hundred ten thousand, three hundred seventy-nine 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 138971697933213600 cubic inches would be around 43164.6 feet tall.

Recreational maths with 138971697933213600

  • 138971697933213600 backwards is 006312339796179831
  • 138971697933213600 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138971697933213600's digits is 78
  • More coming soon!

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"Number 138971697933213600 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138971697933213600 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138971697933213600/

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The information we have on file for 138971697933213600 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 138971697933213600, math, Factors of 138971697933213600, curriculum, school, college, exams, university, Prime factorization of 138971697933213600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred seventy-one trillion, six hundred ninety-seven billion, nine hundred thirty-three million, two hundred thirteen thousand, six hundred.

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