138008818604800

138,008,818,604,800 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138008818604800 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.

138008818604800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.

Prime factorization of 138008818604800:

28 × 52 × 112 × 13 × 23 × 37 × 89 × 181

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 23 × 37 × 89 × 181)

See below for interesting mathematical facts about the number 138008818604800 from the Numbermatics database.


Names of 138008818604800

  • Cardinal: 138008818604800 can be written as One hundred thirty-eight trillion, eight billion, eight hundred eighteen million, six hundred four thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.380088186048 × 1014

Factors of 138008818604800

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 17
  • Sum of prime factors: 361

Divisors of 138008818604800

Bases of 138008818604800

  • Binary: 111110110000100101011101001101111011011000000002
  • Hexadecimal: 0x7D84AE9BDB00
  • Base-36: 1CX4DJBCHS

Squares and roots of 138008818604800

  • 138008818604800 squared (1380088186048002) is 19046434012692590618583040000
  • 138008818604800 cubed (1380088186048003) is 2628575856725984719505012991365742592000000
  • The square root of 138008818604800 is 11747715.4632209237
  • The cube root of 138008818604800 is 51677.5932600087

Scales and comparisons

How big is 138008818604800?
  • 138,008,818,604,800 seconds is equal to 4,388,253 years, 28 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
  • To count from 1 to 138,008,818,604,800 would take you about ten million, nine hundred seventy thousand, six hundred thirty-three 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 138008818604800 cubic inches would be around 4306.5 feet tall.

Recreational maths with 138008818604800

  • 138008818604800 backwards is 008406818800831
  • 138008818604800 is a Harshad number.
  • The number of decimal digits it has is: 15
  • The sum of 138008818604800's digits is 55
  • More coming soon!

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"Number 138008818604800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.

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Numbermatics. (2024). Number 138008818604800 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138008818604800/

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Numbermatics. 2024. "Number 138008818604800 - Facts about the integer". https://numbermatics.com/n/138008818604800/

The information we have on file for 138008818604800 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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