137931946190438400

137,931,946,190,438,400 is an even composite number composed of eight prime numbers multiplied together.

What does the number 137931946190438400 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 18468 divisors.

137931946190438400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eighteen thousand, four hundred sixty-eight divisors.

Prime factorization of 137931946190438400:

218 × 32 × 52 × 7 × 112 × 132 × 17 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 17 × 31 × 31)

See below for interesting mathematical facts about the number 137931946190438400 from the Numbermatics database.


Names of 137931946190438400

  • Cardinal: 137931946190438400 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-one trillion, nine hundred forty-six billion, one hundred ninety million, four hundred thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.379319461904384 × 1017

Factors of 137931946190438400

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 89

Divisors of 137931946190438400

Bases of 137931946190438400

  • Binary: 1111010100000100001011111110011111101110000000000000000002
  • Hexadecimal: 0x1EA085FCFDC0000
  • Base-36: 11Q4SLBCGZK0

Squares and roots of 137931946190438400

  • 137931946190438400 squared (1379319461904384002) is 19025221779881994246519584194560000
  • 137931946190438400 cubed (1379319461904384003) is 2624185866803839912189129148182898596437295104000000
  • The square root of 137931946190438400 is 371391903.7761033369
  • The cube root of 137931946190438400 is 516679.9648394479

Scales and comparisons

How big is 137931946190438400?
  • 137,931,946,190,438,400 seconds is equal to 4,385,809,237 years, 17 weeks, 2 days, 8 hours.
  • To count from 1 to 137,931,946,190,438,400 would take you about thirteen billion, one hundred fifty-seven million, four hundred twenty-seven thousand, seven hundred twelve 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 137931946190438400 cubic inches would be around 43056.7 feet tall.

Recreational maths with 137931946190438400

  • 137931946190438400 backwards is 004834091649139731
  • 137931946190438400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137931946190438400's digits is 72
  • More coming soon!

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"Number 137931946190438400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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Numbermatics. (2024). Number 137931946190438400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/137931946190438400/

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The information we have on file for 137931946190438400 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 137931946190438400, math, Factors of 137931946190438400, curriculum, school, college, exams, university, Prime factorization of 137931946190438400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred thirty-one trillion, nine hundred forty-six billion, one hundred ninety million, four hundred thirty-eight thousand, four hundred.

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