138831840901682207200

138,831,840,901,682,207,200 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138831840901682207200 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.

138831840901682207200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.

Prime factorization of 138831840901682207200:

25 × 52 × 173 × 29 × 41 × 83 × 449 × 797161

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 17 × 29 × 41 × 83 × 449 × 797161)

See below for interesting mathematical facts about the number 138831840901682207200 from the Numbermatics database.


Names of 138831840901682207200

  • Cardinal: 138831840901682207200 can be written as One hundred thirty-eight quintillion, eight hundred thirty-one quadrillion, eight hundred forty trillion, nine hundred one billion, six hundred eighty-two million, two hundred seven thousand, two hundred.

Scientific notation

  • Scientific notation: 1.388318409016822072 × 1020

Factors of 138831840901682207200

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 15
  • Sum of prime factors: 797787

Divisors of 138831840901682207200

Bases of 138831840901682207200

  • Binary: 11110000110101011011100011110111100110010100101000010011001111000002
  • Hexadecimal: 0x786ADC7BCCA5099E0
  • Base-36: TAS1W9YE1J55S

Squares and roots of 138831840901682207200

  • 138831840901682207200 squared (1388318409016822072002) is 19274280048150000654705298781063731840000
  • 138831840901682207200 cubed (1388318409016822072003) is 2675883781139228562900756154540953919058800889360117248000000
  • The square root of 138831840901682207200 is 11782692430.0722628681
  • The cube root of 138831840901682207200 is 5178011.7007142047

Scales and comparisons

How big is 138831840901682207200?
  • 138,831,840,901,682,207,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,831,840,901,682,207,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138831840901682207200 cubic inches would be around 431501 feet tall.

Recreational maths with 138831840901682207200

  • 138831840901682207200 backwards is 002702286109048138831
  • The number of decimal digits it has is: 21
  • The sum of 138831840901682207200's digits is 73
  • More coming soon!

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"Number 138831840901682207200 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.

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Numbermatics. (2024). Number 138831840901682207200 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138831840901682207200/

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The information we have on file for 138831840901682207200 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 138831840901682207200, math, Factors of 138831840901682207200, curriculum, school, college, exams, university, Prime factorization of 138831840901682207200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, eight hundred thirty-one quadrillion, eight hundred forty trillion, nine hundred one billion, six hundred eighty-two million, two hundred seven thousand, two hundred.

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