138517289906688000

138,517,289,906,688,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138517289906688000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 14976 divisors.

138517289906688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand, nine hundred seventy-six divisors.

Prime factorization of 138517289906688000:

212 × 38 × 53 × 7 × 11 × 173 × 109

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 17 × 17 × 17 × 109)

See below for interesting mathematical facts about the number 138517289906688000 from the Numbermatics database.


Names of 138517289906688000

  • Cardinal: 138517289906688000 can be written as One hundred thirty-eight quadrillion, five hundred seventeen trillion, two hundred eighty-nine billion, nine hundred six million, six hundred eighty-eight thousand.

Scientific notation

  • Scientific notation: 1.38517289906688 × 1017

Factors of 138517289906688000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 29
  • Sum of prime factors: 154

Divisors of 138517289906688000

Bases of 138517289906688000

  • Binary: 1111011000001110010111101110001000010001101010000000000002
  • Hexadecimal: 0x1EC1CBDC4235000
  • Base-36: 11VWA4I80000

Squares and roots of 138517289906688000

  • 138517289906688000 squared (1385172899066880002) is 19187039603093449279747129344000000
  • 138517289906688000 cubed (1385172899066880003) is 2657736727152799171539168302818593626652672000000000
  • The square root of 138517289906688000 is 372179109.9815893751
  • The cube root of 138517289906688000 is 517409.8140355203

Scales and comparisons

How big is 138517289906688000?
  • 138,517,289,906,688,000 seconds is equal to 4,404,421,356 years, 48 weeks.
  • To count from 1 to 138,517,289,906,688,000 would take you about thirteen billion, two hundred thirteen million, two hundred sixty-four thousand and seventy 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 138517289906688000 cubic inches would be around 43117.5 feet tall.

Recreational maths with 138517289906688000

  • 138517289906688000 backwards is 000886609982715831
  • 138517289906688000 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138517289906688000's digits is 81
  • More coming soon!

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"Number 138517289906688000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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Numbermatics. (2024). Number 138517289906688000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138517289906688000/

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The information we have on file for 138517289906688000 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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