138305705633957888000

138,305,705,633,957,888,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138305705633957888000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 8640 divisors.

138305705633957888000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight thousand, six hundred forty divisors.

Prime factorization of 138305705633957888000:

214 × 53 × 133 × 192 × 373 × 412

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 37 × 37 × 37 × 41 × 41)

See below for interesting mathematical facts about the number 138305705633957888000 from the Numbermatics database.


Names of 138305705633957888000

  • Cardinal: 138305705633957888000 can be written as One hundred thirty-eight quintillion, three hundred five quadrillion, seven hundred five trillion, six hundred thirty-three billion, nine hundred fifty-seven million, eight hundred eighty-eight thousand.

Scientific notation

  • Scientific notation: 1.38305705633957888 × 1020

Factors of 138305705633957888000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 117

Divisors of 138305705633957888000

Bases of 138305705633957888000

  • Binary: 11101111111011000001001001001111111110000011100110101000000000000002
  • Hexadecimal: 0x77F60927FC1CD4000
  • Base-36: T6S5CW15CIVI8

Squares and roots of 138305705633957888000

  • 138305705633957888000 squared (1383057056339578880002) is 19128468210907010682204683757420544000000
  • 138305705633957888000 cubed (1383057056339578880003) is 2645576293606226109506596797856017817965752402051072000000000
  • The square root of 138305705633957888000 is 11760344622.2446171987
  • The cube root of 138305705633957888000 is 5171462.3305869945

Scales and comparisons

How big is 138305705633957888000?
  • 138,305,705,633,957,888,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,305,705,633,957,888,000 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 138305705633957888000 cubic inches would be around 430955.2 feet tall.

Recreational maths with 138305705633957888000

  • 138305705633957888000 backwards is 000888759336507503831
  • The number of decimal digits it has is: 21
  • The sum of 138305705633957888000's digits is 89
  • More coming soon!

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"Number 138305705633957888000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.

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Numbermatics. (2024). Number 138305705633957888000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138305705633957888000/

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The information we have on file for 138305705633957888000 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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