138742336396984320

138,742,336,396,984,320 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138742336396984320 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 13248 divisors.

138742336396984320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirteen thousand, two hundred forty-eight divisors.

Prime factorization of 138742336396984320:

222 × 33 × 5 × 72 × 113 × 13 × 172

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 17 × 17)

See below for interesting mathematical facts about the number 138742336396984320 from the Numbermatics database.


Names of 138742336396984320

  • Cardinal: 138742336396984320 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, three hundred thirty-six billion, three hundred ninety-six million, nine hundred eighty-four thousand, three hundred twenty.

Scientific notation

  • Scientific notation: 1.3874233639698432 × 1017

Factors of 138742336396984320

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 34
  • Sum of prime factors: 58

Divisors of 138742336396984320

Bases of 138742336396984320

  • Binary: 1111011001110100101101011011111000100000000000000000000002
  • Hexadecimal: 0x1ECE96B7C400000
  • Base-36: 11Y41XFPSLC0

Squares and roots of 138742336396984320

  • 138742336396984320 squared (1387423363969843202) is 19249435908893959981939590325862400
  • 138742336396984320 cubed (1387423363969843203) is 2670711712323955408860667228230651137157463277568000
  • The square root of 138742336396984320 is 372481323.5545969223
  • The cube root of 138742336396984320 is 517689.8711548313

Scales and comparisons

How big is 138742336396984320?
  • 138,742,336,396,984,320 seconds is equal to 4,411,577,139 years, 10 weeks, 2 days, 19 hours, 12 minutes.
  • To count from 1 to 138,742,336,396,984,320 would take you about thirteen billion, two hundred thirty-four million, seven hundred thirty-one thousand, four hundred seventeen 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 138742336396984320 cubic inches would be around 43140.8 feet tall.

Recreational maths with 138742336396984320

  • 138742336396984320 backwards is 023489693633247831
  • The number of decimal digits it has is: 18
  • The sum of 138742336396984320's digits is 81
  • More coming soon!

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"Number 138742336396984320 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

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Numbermatics. (2024). Number 138742336396984320 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138742336396984320/

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The information we have on file for 138742336396984320 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 138742336396984320, math, Factors of 138742336396984320, curriculum, school, college, exams, university, Prime factorization of 138742336396984320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-two trillion, three hundred thirty-six billion, three hundred ninety-six million, nine hundred eighty-four thousand, three hundred twenty.

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