138774141831374438400

138,774,141,831,374,438,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138774141831374438400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7452 divisors.

138774141831374438400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, four hundred fifty-two divisors.

Prime factorization of 138774141831374438400:

222 × 32 × 52 × 113 × 232 × 4572

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 23 × 23 × 457 × 457)

See below for interesting mathematical facts about the number 138774141831374438400 from the Numbermatics database.


Names of 138774141831374438400

  • Cardinal: 138774141831374438400 can be written as One hundred thirty-eight quintillion, seven hundred seventy-four quadrillion, one hundred forty-one trillion, eight hundred thirty-one billion, three hundred seventy-four million, four hundred thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.387741418313744384 × 1020

Factors of 138774141831374438400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 501

Divisors of 138774141831374438400

Bases of 138774141831374438400

  • Binary: 11110000101111000001100101010111101000111001100000000000000000000002
  • Hexadecimal: 0x785E0CABD1CC00000
  • Base-36: TAC9RNVF24U80

Squares and roots of 138774141831374438400

  • 138774141831374438400 squared (1387741418313744384002) is 19258262441034428767818285624915394560000
  • 138774141831374438400 cubed (1387741418313744384003) is 2672548843417943125154482363600013282404902159834415104000000
  • The square root of 138774141831374438400 is 11780243708.4881413925
  • The cube root of 138774141831374438400 is 5177294.2671670063

Scales and comparisons

How big is 138774141831374438400?
  • 138,774,141,831,374,438,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,774,141,831,374,438,400 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 138774141831374438400 cubic inches would be around 431441.2 feet tall.

Recreational maths with 138774141831374438400

  • 138774141831374438400 backwards is 004834473138141477831
  • The number of decimal digits it has is: 21
  • The sum of 138774141831374438400's digits is 81
  • More coming soon!

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"Number 138774141831374438400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.

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The information we have on file for 138774141831374438400 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 138774141831374438400, math, Factors of 138774141831374438400, curriculum, school, college, exams, university, Prime factorization of 138774141831374438400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred seventy-four quadrillion, one hundred forty-one trillion, eight hundred thirty-one billion, three hundred seventy-four million, four hundred thirty-eight thousand, four hundred.

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