138631251757420800

138,631,251,757,420,800 is an even composite number composed of nine prime numbers multiplied together.

What does the number 138631251757420800 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 23328 divisors.

138631251757420800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of twenty-three thousand, three hundred twenty-eight divisors.

Prime factorization of 138631251757420800:

28 × 35 × 52 × 72 × 17 × 19 × 292 × 37 × 181

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 19 × 29 × 29 × 37 × 181)

See below for interesting mathematical facts about the number 138631251757420800 from the Numbermatics database.


Names of 138631251757420800

  • Cardinal: 138631251757420800 can be written as One hundred thirty-eight quadrillion, six hundred thirty-one trillion, two hundred fifty-one billion, seven hundred fifty-seven million, four hundred twenty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.386312517574208 × 1017

Factors of 138631251757420800

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 300

Divisors of 138631251757420800

Bases of 138631251757420800

  • Binary: 1111011001000010001100011100100111100010011010001000000002
  • Hexadecimal: 0x1EC846393C4D100
  • Base-36: 11X0ODUVIO00

Squares and roots of 138631251757420800

  • 138631251757420800 squared (1386312517574208002) is 19218623963829387648527868272640000
  • 138631251757420800 cubed (1386312517574208003) is 2664301897160832297862192543257389081997606912000000
  • The square root of 138631251757420800 is 372332179.3203225135
  • The cube root of 138631251757420800 is 517551.6707349907

Scales and comparisons

How big is 138631251757420800?
  • 138,631,251,757,420,800 seconds is equal to 4,408,044,991 years, 14 weeks.
  • To count from 1 to 138,631,251,757,420,800 would take you about thirteen billion, two hundred twenty-four million, one hundred thirty-four thousand, nine hundred seventy-three 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 138631251757420800 cubic inches would be around 43129.3 feet tall.

Recreational maths with 138631251757420800

  • 138631251757420800 backwards is 008024757152136831
  • 138631251757420800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138631251757420800's digits is 63
  • More coming soon!

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"Number 138631251757420800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138631251757420800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138631251757420800/

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The information we have on file for 138631251757420800 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!

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