138208712026226688000

138,208,712,026,226,688,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138208712026226688000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 36864 divisors.

138208712026226688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirty-six thousand, eight hundred sixty-four divisors.

Prime factorization of 138208712026226688000:

223 × 33 × 53 × 73 × 113 × 172 × 37

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 17 × 17 × 37)

See below for interesting mathematical facts about the number 138208712026226688000 from the Numbermatics database.


Names of 138208712026226688000

  • Cardinal: 138208712026226688000 can be written as One hundred thirty-eight quintillion, two hundred eight quadrillion, seven hundred twelve trillion, twenty-six billion, two hundred twenty-six million, six hundred eighty-eight thousand.

Scientific notation

  • Scientific notation: 1.38208712026226688 × 1020

Factors of 138208712026226688000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 82

Divisors of 138208712026226688000

Bases of 138208712026226688000

  • Binary: 11101111110000001111111101101010011101000111000000000000000000000002
  • Hexadecimal: 0x77E07FB53A3800000
  • Base-36: T61MBIWW23UO0

Squares and roots of 138208712026226688000

  • 138208712026226688000 squared (1382087120262266880002) is 19101648079948457537699551163449344000000
  • 138208712026226688000 cubed (1382087120262266880003) is 2640014178707922307150753661200929677588750948892672000000000
  • The square root of 138208712026226688000 is 11756220141.9600291525
  • The cube root of 138208712026226688000 is 5170253.1346516795

Scales and comparisons

How big is 138208712026226688000?
  • 138,208,712,026,226,688,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,208,712,026,226,688,000 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 138208712026226688000 cubic inches would be around 430854.4 feet tall.

Recreational maths with 138208712026226688000

  • 138208712026226688000 backwards is 000886622620217802831
  • 138208712026226688000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138208712026226688000's digits is 72
  • More coming soon!

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"Number 138208712026226688000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

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Numbermatics. (2024). Number 138208712026226688000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138208712026226688000/

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The information we have on file for 138208712026226688000 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 138208712026226688000, math, Factors of 138208712026226688000, curriculum, school, college, exams, university, Prime factorization of 138208712026226688000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred eight quadrillion, seven hundred twelve trillion, twenty-six billion, two hundred twenty-six million, six hundred eighty-eight thousand.

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