138322093154918400

138,322,093,154,918,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138322093154918400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 15120 divisors.

138322093154918400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, one hundred twenty divisors.

Prime factorization of 138322093154918400:

213 × 34 × 52 × 7 × 132 × 172 × 293

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 17 × 17 × 29 × 29 × 29)

See below for interesting mathematical facts about the number 138322093154918400 from the Numbermatics database.


Names of 138322093154918400

  • Cardinal: 138322093154918400 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, ninety-three billion, one hundred fifty-four million, nine hundred eighteen thousand, four hundred.

Scientific notation

  • Scientific notation: 1.383220931549184 × 1017

Factors of 138322093154918400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 27
  • Sum of prime factors: 76

Divisors of 138322093154918400

Bases of 138322093154918400

  • Binary: 1111010110110101100110101111110110001011001100000000000002
  • Hexadecimal: 0x1EB6B35FB166000
  • Base-36: 11TZ38CTTS00

Squares and roots of 138322093154918400

  • 138322093154918400 squared (1383220931549184002) is 19133001454757923688422110658560000
  • 138322093154918400 cubed (1383220931549184003) is 2646516809558214785485596138902079473927061504000000
  • The square root of 138322093154918400 is 371916782.5669048777
  • The cube root of 138322093154918400 is 517166.6574029675

Scales and comparisons

How big is 138322093154918400?
  • 138,322,093,154,918,400 seconds is equal to 4,398,214,704 years.
  • To count from 1 to 138,322,093,154,918,400 would take you about thirteen billion, one hundred ninety-four million, six hundred forty-four thousand, one hundred twelve 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 138322093154918400 cubic inches would be around 43097.2 feet tall.

Recreational maths with 138322093154918400

  • 138322093154918400 backwards is 004819451390223831
  • 138322093154918400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138322093154918400's digits is 63
  • More coming soon!

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"Number 138322093154918400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.

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Numbermatics. (2024). Number 138322093154918400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138322093154918400/

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Numbermatics. 2024. "Number 138322093154918400 - Facts about the integer". https://numbermatics.com/n/138322093154918400/

The information we have on file for 138322093154918400 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 138322093154918400, math, Factors of 138322093154918400, curriculum, school, college, exams, university, Prime factorization of 138322093154918400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-two trillion, ninety-three billion, one hundred fifty-four million, nine hundred eighteen thousand, four hundred.

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