137931781396631040

137,931,781,396,631,040 is an even composite number composed of nine prime numbers multiplied together.

What does the number 137931781396631040 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 14400 divisors.

137931781396631040 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of fourteen thousand, four hundred divisors.

Prime factorization of 137931781396631040:

29 × 34 × 5 × 72 × 13 × 29 × 43 × 89 × 972

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 29 × 43 × 89 × 97 × 97)

See below for interesting mathematical facts about the number 137931781396631040 from the Numbermatics database.


Names of 137931781396631040

  • Cardinal: 137931781396631040 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-one trillion, seven hundred eighty-one billion, three hundred ninety-six million, six hundred thirty-one thousand and forty.

Scientific notation

  • Scientific notation: 1.3793178139663104 × 1017

Factors of 137931781396631040

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 22
  • Sum of prime factors: 288

Divisors of 137931781396631040

Bases of 137931781396631040

  • Binary: 1111010100000100000111001011100010110001000001110000000002
  • Hexadecimal: 0x1EA083971620E00
  • Base-36: 11Q4QHLYHS00

Squares and roots of 137931781396631040

  • 137931781396631040 squared (1379317813966310402) is 19025176319248012651480661891481600
  • 137931781396631040 cubed (1379317813966310403) is 2624176461098878435415971257640818282636314148864000
  • The square root of 137931781396631040 is 371391681.9163173449
  • The cube root of 137931781396631040 is 516679.7590720511

Scales and comparisons

How big is 137931781396631040?
  • 137,931,781,396,631,040 seconds is equal to 4,385,803,997 years, 20 weeks, 5 days, 14 hours, 24 minutes.
  • To count from 1 to 137,931,781,396,631,040 would take you about thirteen billion, one hundred fifty-seven million, four hundred eleven thousand, nine hundred ninety-two 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 137931781396631040 cubic inches would be around 43056.6 feet tall.

Recreational maths with 137931781396631040

  • 137931781396631040 backwards is 040136693187139731
  • 137931781396631040 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137931781396631040's digits is 72
  • More coming soon!

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"Number 137931781396631040 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.

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Numbermatics. (2024). Number 137931781396631040 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137931781396631040/

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The information we have on file for 137931781396631040 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 137931781396631040, math, Factors of 137931781396631040, curriculum, school, college, exams, university, Prime factorization of 137931781396631040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred thirty-one trillion, seven hundred eighty-one billion, three hundred ninety-six million, six hundred thirty-one thousand and forty.

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