137438813380780800

137,438,813,380,780,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 137438813380780800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 9720 divisors.

137438813380780800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred twenty divisors.

Prime factorization of 137438813380780800:

28 × 34 × 52 × 7 × 172 × 192 × 73 × 4973

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 17 × 19 × 19 × 73 × 4973)

See below for interesting mathematical facts about the number 137438813380780800 from the Numbermatics database.


Names of 137438813380780800

  • Cardinal: 137438813380780800 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, eight hundred thirteen billion, three hundred eighty million, seven hundred eighty thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.374388133807808 × 1017

Factors of 137438813380780800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 5099

Divisors of 137438813380780800

Bases of 137438813380780800

  • Binary: 1111010000100011111011111011000011110100110100011000000002
  • Hexadecimal: 0x1E847DF61E9A300
  • Base-36: 11L9ZR89WW00

Squares and roots of 137438813380780800

  • 137438813380780800 squared (1374388133807808002) is 18889427423517091475374817648640000
  • 137438813380780800 cubed (1374388133807808003) is 2596140490530568623456710573386936028423258112000000
  • The square root of 137438813380780800 is 370727411.1537758951
  • The cube root of 137438813380780800 is 516063.4866960333

Scales and comparisons

How big is 137438813380780800?
  • 137,438,813,380,780,800 seconds is equal to 4,370,129,139 years, 18 weeks.
  • To count from 1 to 137,438,813,380,780,800 would take you about thirteen billion, one hundred ten million, three hundred eighty-seven thousand, four hundred eighteen 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 137438813380780800 cubic inches would be around 43005.3 feet tall.

Recreational maths with 137438813380780800

  • 137438813380780800 backwards is 008087083318834731
  • 137438813380780800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137438813380780800's digits is 72
  • More coming soon!

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"Number 137438813380780800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.

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Numbermatics. (2024). Number 137438813380780800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137438813380780800/

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The information we have on file for 137438813380780800 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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