138436318913131008

138,436,318,913,131,008 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138436318913131008 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.

138436318913131008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.

Prime factorization of 138436318913131008:

29 × 33 × 7 × 11 × 71 × 1272 × 3372

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 71 × 127 × 127 × 337 × 337)

See below for interesting mathematical facts about the number 138436318913131008 from the Numbermatics database.


Names of 138436318913131008

  • Cardinal: 138436318913131008 can be written as One hundred thirty-eight quadrillion, four hundred thirty-six trillion, three hundred eighteen billion, nine hundred thirteen million, one hundred thirty-one thousand and eight.

Scientific notation

  • Scientific notation: 1.38436318913131008 × 1017

Factors of 138436318913131008

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 558

Divisors of 138436318913131008

Bases of 138436318913131008

  • Binary: 1111010111101001100011001001111001101010001110010000000002
  • Hexadecimal: 0x1EBD3193CD47200
  • Base-36: 11V3KUY11MO0

Squares and roots of 138436318913131008

  • 138436318913131008 squared (1384363189131310082) is 19164614394218114032105325771096064
  • 138436318913131008 cubed (1384363189131310083) is 2653078670125159855232490925936330407981678185152512
  • The square root of 138436318913131008 is 372070314.4744700107
  • The cube root of 138436318913131008 is 517308.9761960759

Scales and comparisons

How big is 138436318913131008?
  • 138,436,318,913,131,008 seconds is equal to 4,401,846,729 years, 40 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
  • To count from 1 to 138,436,318,913,131,008 would take you about thirteen billion, two hundred five million, five hundred forty thousand, one hundred eighty-nine 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 138436318913131008 cubic inches would be around 43109.1 feet tall.

Recreational maths with 138436318913131008

  • 138436318913131008 backwards is 800131319813634831
  • 138436318913131008 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138436318913131008's digits is 63
  • More coming soon!

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"Number 138436318913131008 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.

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Numbermatics. (2024). Number 138436318913131008 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138436318913131008/

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The information we have on file for 138436318913131008 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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