138208117175338800

138,208,117,175,338,800 is an even composite number composed of ten prime numbers multiplied together.

What does the number 138208117175338800 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 5760 divisors.

138208117175338800 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.

Prime factorization of 138208117175338800:

24 × 3 × 52 × 29 × 312 × 37 × 43 × 113 × 127 × 181

(2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 31 × 31 × 37 × 43 × 113 × 127 × 181)

See below for interesting mathematical facts about the number 138208117175338800 from the Numbermatics database.


Names of 138208117175338800

  • Cardinal: 138208117175338800 can be written as One hundred thirty-eight quadrillion, two hundred eight trillion, one hundred seventeen billion, one hundred seventy-five million, three hundred thirty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.382081171753388 × 1017

Factors of 138208117175338800

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 15
  • Sum of prime factors: 571

Divisors of 138208117175338800

Bases of 138208117175338800

  • Binary: 1111010110000001110001100111000010100111111000111001100002
  • Hexadecimal: 0x1EB038CE14FC730
  • Base-36: 11SUOSIICW1C

Squares and roots of 138208117175338800

  • 138208117175338800 squared (1382081171753388002) is 19101483653152179800822894785440000
  • 138208117175338800 cubed (1382081171753388003) is 2639980090957675106680486762445306800685307072000000
  • The square root of 138208117175338800 is 371763523.1909376017
  • The cube root of 138208117175338800 is 517024.5717043833

Scales and comparisons

How big is 138208117175338800?
  • 138,208,117,175,338,800 seconds is equal to 4,394,590,620 years, 20 weeks, 5 days, 16 hours, 20 minutes.
  • To count from 1 to 138,208,117,175,338,800 would take you about thirteen billion, one hundred eighty-three million, seven hundred seventy-one thousand, eight hundred sixty-one 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 138208117175338800 cubic inches would be around 43085.4 feet tall.

Recreational maths with 138208117175338800

  • 138208117175338800 backwards is 008833571711802831
  • The number of decimal digits it has is: 18
  • The sum of 138208117175338800's digits is 66
  • More coming soon!

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"Number 138208117175338800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138208117175338800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138208117175338800/

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The information we have on file for 138208117175338800 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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