138124778057932800

138,124,778,057,932,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138124778057932800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 4536 divisors.

138124778057932800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, five hundred thirty-six divisors.

Prime factorization of 138124778057932800:

213 × 3 × 52 × 232 × 312 × 47 × 972

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 31 × 31 × 47 × 97 × 97)

See below for interesting mathematical facts about the number 138124778057932800 from the Numbermatics database.


Names of 138124778057932800

  • Cardinal: 138124778057932800 can be written as One hundred thirty-eight quadrillion, one hundred twenty-four trillion, seven hundred seventy-eight billion, fifty-seven million, nine hundred thirty-two thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.381247780579328 × 1017

Factors of 138124778057932800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 208

Divisors of 138124778057932800

Bases of 138124778057932800

  • Binary: 1111010101011011111000000111110101101001010100000000000002
  • Hexadecimal: 0x1EAB7C0FAD2A000
  • Base-36: 11S15B1VLUDC

Squares and roots of 138124778057932800

  • 138124778057932800 squared (1381247780579328002) is 19078454313553194281193009315840000
  • 138124778057932800 cubed (1381247780579328003) is 2635207267747945629336868480555830253612695552000000
  • The square root of 138124778057932800 is 371651420.0940617957
  • The cube root of 138124778057932800 is 516920.6293407707

Scales and comparisons

How big is 138124778057932800?
  • 138,124,778,057,932,800 seconds is equal to 4,391,940,694 years, 13 weeks, 13 hours, 20 minutes.
  • To count from 1 to 138,124,778,057,932,800 would take you about thirteen billion, one hundred seventy-five million, eight hundred twenty-two thousand and eighty-two 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 138124778057932800 cubic inches would be around 43076.7 feet tall.

Recreational maths with 138124778057932800

  • 138124778057932800 backwards is 008239750877421831
  • 138124778057932800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138124778057932800's digits is 75
  • More coming soon!

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"Number 138124778057932800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 138124778057932800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138124778057932800/

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The information we have on file for 138124778057932800 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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