138904988296479681600

138,904,988,296,479,681,600 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138904988296479681600 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 15309 divisors.

138904988296479681600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred nine divisors.

Prime factorization of 138904988296479681600:

26 × 32 × 52 × 172 × 292 × 412 × 432 × 1132

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 29 × 29 × 41 × 41 × 43 × 43 × 113 × 113)

See below for interesting mathematical facts about the number 138904988296479681600 from the Numbermatics database.


Names of 138904988296479681600

  • Cardinal: 138904988296479681600 can be written as One hundred thirty-eight quintillion, nine hundred four quadrillion, nine hundred eighty-eight trillion, two hundred ninety-six billion, four hundred seventy-nine million, six hundred eighty-one thousand, six hundred.

Scientific notation

  • Scientific notation: 1.389049882964796816 × 1020

Factors of 138904988296479681600

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 253

Divisors of 138904988296479681600

Bases of 138904988296479681600

  • Binary: 11110000111101100011010011011100111110011010111011010101100010000002
  • Hexadecimal: 0x787B1A6E7CD76AC40
  • Base-36: TBC24V3NQ6J40

Squares and roots of 138904988296479681600

  • 138904988296479681600 squared (1389049882964796816002) is 19294595773645157317683843201637378560000
  • 138904988296479681600 cubed (1389049882964796816003) is 2680115600123486905042008340646137531114031874127466496000000
  • 138904988296479681600 is a perfect square number. Its square root is 11785796040
  • The cube root of 138904988296479681600 is 5178920.9339357821

Scales and comparisons

How big is 138904988296479681600?
  • 138,904,988,296,479,681,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,904,988,296,479,681,600 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 138904988296479681600 cubic inches would be around 431576.7 feet tall.

Recreational maths with 138904988296479681600

  • 138904988296479681600 backwards is 006186974692889409831
  • The number of decimal digits it has is: 21
  • The sum of 138904988296479681600's digits is 108
  • More coming soon!

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"Number 138904988296479681600 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.

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Numbermatics. (2024). Number 138904988296479681600 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138904988296479681600/

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Numbermatics. 2024. "Number 138904988296479681600 - Facts about the integer". https://numbermatics.com/n/138904988296479681600/

The information we have on file for 138904988296479681600 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 138904988296479681600, math, Factors of 138904988296479681600, curriculum, school, college, exams, university, Prime factorization of 138904988296479681600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred four quadrillion, nine hundred eighty-eight trillion, two hundred ninety-six billion, four hundred seventy-nine million, six hundred eighty-one thousand, six hundred.

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