138723372406434816

138,723,372,406,434,816 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138723372406434816 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 10560 divisors.

138723372406434816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, five hundred sixty divisors.

Prime factorization of 138723372406434816:

210 × 34 × 72 × 113 × 13 × 19 × 473

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 13 × 19 × 47 × 47 × 47)

See below for interesting mathematical facts about the number 138723372406434816 from the Numbermatics database.


Names of 138723372406434816

  • Cardinal: 138723372406434816 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-three trillion, three hundred seventy-two billion, four hundred six million, four hundred thirty-four thousand, eight hundred sixteen.

Scientific notation

  • Scientific notation: 1.38723372406434816 × 1017

Factors of 138723372406434816

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 102

Divisors of 138723372406434816

Bases of 138723372406434816

  • Binary: 1111011001101100000101100000101100101010001101100000000002
  • Hexadecimal: 0x1ECD82C16546C00
  • Base-36: 11XXBXHZGG00

Squares and roots of 138723372406434816

  • 138723372406434816 squared (1387233724064348162) is 19244174051814400512628363656953856
  • 138723372406434816 cubed (1387233724064348163) is 2669616723644098697091495527835304812017559583850496
  • The square root of 138723372406434816 is 372455866.3874618259
  • The cube root of 138723372406434816 is 517666.2832738403

Scales and comparisons

How big is 138723372406434816?
  • 138,723,372,406,434,816 seconds is equal to 4,410,974,142 years, 49 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
  • To count from 1 to 138,723,372,406,434,816 would take you about thirteen billion, two hundred thirty-two million, nine hundred twenty-two thousand, four hundred twenty-eight 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 138723372406434816 cubic inches would be around 43138.9 feet tall.

Recreational maths with 138723372406434816

  • 138723372406434816 backwards is 618434604273327831
  • 138723372406434816 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 138723372406434816's digits is 72
  • More coming soon!

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"Number 138723372406434816 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.

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Numbermatics. (2024). Number 138723372406434816 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138723372406434816/

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The information we have on file for 138723372406434816 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 138723372406434816, math, Factors of 138723372406434816, curriculum, school, college, exams, university, Prime factorization of 138723372406434816, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred twenty-three trillion, three hundred seventy-two billion, four hundred six million, four hundred thirty-four thousand, eight hundred sixteen.

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