138537888128640

138,537,888,128,640 is an even composite number composed of nine prime numbers multiplied together.

What does the number 138537888128640 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 6144 divisors.

138537888128640 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.

Prime factorization of 138537888128640:

27 × 32 × 5 × 73 × 11 × 13 × 29 × 37 × 457

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 13 × 29 × 37 × 457)

See below for interesting mathematical facts about the number 138537888128640 from the Numbermatics database.


Names of 138537888128640

  • Cardinal: 138537888128640 can be written as One hundred thirty-eight trillion, five hundred thirty-seven billion, eight hundred eighty-eight million, one hundred twenty-eight thousand, six hundred forty.

Scientific notation

  • Scientific notation: 1.3853788812864 × 1014

Factors of 138537888128640

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 564

Divisors of 138537888128640

Bases of 138537888128640

  • Binary: 111110111111111110111011001110000011110100000002
  • Hexadecimal: 0x7DFFDD9C1E80
  • Base-36: 1D3VFDNDS0

Squares and roots of 138537888128640

  • 138537888128640 squared (1385378881286402) is 19192746447143571841188249600
  • 138537888128640 cubed (1385378881286403) is 2658922560175728978615040591651301228544000
  • The square root of 138537888128640 is 11770211.8982047219
  • The cube root of 138537888128640 is 51743.5459916875

Scales and comparisons

How big is 138537888128640?
  • 138,537,888,128,640 seconds is equal to 4,405,076 years, 16 weeks, 3 days, 6 hours, 24 minutes.
  • To count from 1 to 138,537,888,128,640 would take you about eleven million, twelve thousand, six hundred ninety 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 138537888128640 cubic inches would be around 4312 feet tall.

Recreational maths with 138537888128640

  • 138537888128640 backwards is 046821888735831
  • 138537888128640 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 138537888128640's digits is 72
  • More coming soon!

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"Number 138537888128640 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.

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Numbermatics. (2024). Number 138537888128640 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138537888128640/

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The information we have on file for 138537888128640 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 138537888128640, math, Factors of 138537888128640, curriculum, school, college, exams, university, Prime factorization of 138537888128640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-seven billion, eight hundred eighty-eight million, one hundred twenty-eight thousand, six hundred forty.

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