138095837314016400

138,095,837,314,016,400 is an even composite number composed of ten prime numbers multiplied together.

What does the number 138095837314016400 look like?

This visualization shows the relationship between its 10 prime factors (large circles) and 17280 divisors.

138095837314016400 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of seventeen thousand, two hundred eighty divisors.

Prime factorization of 138095837314016400:

24 × 32 × 52 × 73 × 132 × 19 × 31 × 41 × 67 × 409

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 19 × 31 × 41 × 67 × 409)

See below for interesting mathematical facts about the number 138095837314016400 from the Numbermatics database.


Names of 138095837314016400

  • Cardinal: 138095837314016400 can be written as One hundred thirty-eight quadrillion, ninety-five trillion, eight hundred thirty-seven billion, three hundred fourteen million, sixteen thousand, four hundred.

Scientific notation

  • Scientific notation: 1.380958373140164 × 1017

Factors of 138095837314016400

  • Number of distinct prime factors ω(n): 10
  • Total number of prime factors Ω(n): 18
  • Sum of prime factors: 597

Divisors of 138095837314016400

Bases of 138095837314016400

  • Binary: 1111010101001110101101110101100000000111111100100100100002
  • Hexadecimal: 0x1EA9D6EB00FE490
  • Base-36: 11RQVZUVWN80

Squares and roots of 138095837314016400

  • 138095837314016400 squared (1380958373140164002) is 19070460283459284278059899468960000
  • 138095837314016400 cubed (1380958373140164003) is 2633551180808004402354486548874855335124730944000000
  • The square root of 138095837314016400 is 371612482.7209339049
  • The cube root of 138095837314016400 is 516884.5240338341

Scales and comparisons

How big is 138095837314016400?
  • 138,095,837,314,016,400 seconds is equal to 4,391,020,468 years, 5 weeks, 6 days, 17 hours.
  • To count from 1 to 138,095,837,314,016,400 would take you about thirteen billion, one hundred seventy-three million, sixty-one thousand, four hundred four 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 138095837314016400 cubic inches would be around 43073.7 feet tall.

Recreational maths with 138095837314016400

  • 138095837314016400 backwards is 004610413738590831
  • 138095837314016400 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138095837314016400's digits is 63
  • More coming soon!

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"Number 138095837314016400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.

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Numbermatics. (2024). Number 138095837314016400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138095837314016400/

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The information we have on file for 138095837314016400 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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