138007521478985353138944

138,007,521,478,985,353,138,944 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138007521478985353138944 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 14580 divisors.

138007521478985353138944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand, five hundred eighty divisors.

Prime factorization of 138007521478985353138944:

28 × 34 × 72 × 113 × 132 × 972 × 80112

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 97 × 97 × 8011 × 8011)

See below for interesting mathematical facts about the number 138007521478985353138944 from the Numbermatics database.


Names of 138007521478985353138944

  • Cardinal: 138007521478985353138944 can be written as One hundred thirty-eight sextillion, seven quintillion, five hundred twenty-one quadrillion, four hundred seventy-eight trillion, nine hundred eighty-five billion, three hundred fifty-three million, one hundred thirty-eight thousand, nine hundred forty-four.

Scientific notation

  • Scientific notation: 1.38007521478985353138944 × 1023

Factors of 138007521478985353138944

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 8144

Divisors of 138007521478985353138944

Bases of 138007521478985353138944

  • Binary: 111010011100101100111000110010101010111110011011001011100101000010011000000002
  • Hexadecimal: 0x1D39671955F365CA1300
  • Base-36: MH1GG5GKUQPM800

Squares and roots of 138007521478985353138944

  • 138007521478985353138944 squared (1380075214789853531389442) is 19046075984772603593457428517286890793769435136
  • 138007521478985353138944 cubed (1380075214789853531389443) is 2628501740558892202126217667274988966760118925721670699677063403536384
  • The square root of 138007521478985353138944 is 371493635852.6015895427
  • The cube root of 138007521478985353138944 is 51677431.3559822011

Scales and comparisons

How big is 138007521478985353138944?
  • 138,007,521,478,985,353,138,944 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,007,521,478,985,353,138,944 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138007521478985353138944 cubic inches would be around 4306452.6 feet tall.

Recreational maths with 138007521478985353138944

  • 138007521478985353138944 backwards is 449831353589874125700831
  • 138007521478985353138944 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138007521478985353138944's digits is 108
  • More coming soon!

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"Number 138007521478985353138944 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.

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The information we have on file for 138007521478985353138944 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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