138083723709338608768

138,083,723,709,338,608,768 is an even composite number composed of six prime numbers multiplied together.

What does the number 138083723709338608768 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.

138083723709338608768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.

Prime factorization of 138083723709338608768:

27 × 7 × 173 × 313 × 372 × 8772

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 17 × 17 × 31 × 31 × 31 × 37 × 37 × 877 × 877)

See below for interesting mathematical facts about the number 138083723709338608768 from the Numbermatics database.


Names of 138083723709338608768

  • Cardinal: 138083723709338608768 can be written as One hundred thirty-eight quintillion, eighty-three quadrillion, seven hundred twenty-three trillion, seven hundred nine billion, three hundred thirty-eight million, six hundred eight thousand, seven hundred sixty-eight.

Scientific notation

  • Scientific notation: 1.38083723709338608768 × 1020

Factors of 138083723709338608768

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 971

Divisors of 138083723709338608768

Bases of 138083723709338608768

  • Binary: 11101111100010010111110111100011101010111100100111111100100100000002
  • Hexadecimal: 0x77C4BEF1D5E4FE480
  • Base-36: T53FMV4SDNKHS

Squares and roots of 138083723709338608768

  • 138083723709338608768 squared (1380837237093386087682) is 19067114753436961435813028416921766477824
  • 138083723709338608768 cubed (1380837237093386087683) is 2632858205547843333287270066982235023222670161228655683960832
  • The square root of 138083723709338608768 is 11750903101.8615164465
  • The cube root of 138083723709338608768 is 5168694.1009074961

Scales and comparisons

How big is 138083723709338608768?
  • 138,083,723,709,338,608,768 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,083,723,709,338,608,768 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 138083723709338608768 cubic inches would be around 430724.5 feet tall.

Recreational maths with 138083723709338608768

  • 138083723709338608768 backwards is 867806833907327380831
  • The number of decimal digits it has is: 21
  • The sum of 138083723709338608768's digits is 100
  • More coming soon!

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"Number 138083723709338608768 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.

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Numbermatics. (2024). Number 138083723709338608768 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/138083723709338608768/

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Numbermatics. 2024. "Number 138083723709338608768 - Facts about the integer". https://numbermatics.com/n/138083723709338608768/

The information we have on file for 138083723709338608768 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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