138738136131504000

138,738,136,131,504,000 is an even composite number composed of nine prime numbers multiplied together.

What does the number 138738136131504000 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 18432 divisors.

138738136131504000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of eighteen thousand, four hundred thirty-two divisors.

Prime factorization of 138738136131504000:

27 × 33 × 53 × 72 × 13 × 19 × 432 × 113 × 127

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 43 × 43 × 113 × 127)

See below for interesting mathematical facts about the number 138738136131504000 from the Numbermatics database.


Names of 138738136131504000

  • Cardinal: 138738136131504000 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-eight trillion, one hundred thirty-six billion, one hundred thirty-one million, five hundred four thousand.

Scientific notation

  • Scientific notation: 1.38738136131504 × 1017

Factors of 138738136131504000

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 332

Divisors of 138738136131504000

Bases of 138738136131504000

  • Binary: 1111011001110010110011001100010001110101100000111100000002
  • Hexadecimal: 0x1ECE59988EB0780
  • Base-36: 11Y2KBV06AO0

Squares and roots of 138738136131504000

  • 138738136131504000 squared (1387381361315040002) is 19248270417243735690381302016000000
  • 138738136131504000 cubed (1387381361315040003) is 2670469161443562700309395189180784916312064000000000
  • The square root of 138738136131504000 is 372475685.2889917163
  • The cube root of 138738136131504000 is 517684.6469459489

Scales and comparisons

How big is 138738136131504000?
  • 138,738,136,131,504,000 seconds is equal to 4,411,443,583 years, 39 weeks.
  • To count from 1 to 138,738,136,131,504,000 would take you about thirteen billion, two hundred thirty-four million, three hundred thirty thousand, seven hundred fifty-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 138738136131504000 cubic inches would be around 43140.4 feet tall.

Recreational maths with 138738136131504000

  • 138738136131504000 backwards is 000405131631837831
  • 138738136131504000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138738136131504000's digits is 54
  • More coming soon!

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"Number 138738136131504000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.

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Numbermatics. (2024). Number 138738136131504000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/138738136131504000/

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The information we have on file for 138738136131504000 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 138738136131504000, math, Factors of 138738136131504000, curriculum, school, college, exams, university, Prime factorization of 138738136131504000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred thirty-eight trillion, one hundred thirty-six billion, one hundred thirty-one million, five hundred four thousand.

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