138751744209924938400

138,751,744,209,924,938,400 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138751744209924938400 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 20736 divisors.

138751744209924938400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty thousand, seven hundred thirty-six divisors.

Prime factorization of 138751744209924938400:

25 × 35 × 52 × 73 × 113 × 192 × 1633

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 19 × 19 × 163 × 163 × 163)

See below for interesting mathematical facts about the number 138751744209924938400 from the Numbermatics database.


Names of 138751744209924938400

  • Cardinal: 138751744209924938400 can be written as One hundred thirty-eight quintillion, seven hundred fifty-one quadrillion, seven hundred forty-four trillion, two hundred nine billion, nine hundred twenty-four million, nine hundred thirty-eight thousand, four hundred.

Scientific notation

  • Scientific notation: 1.387517442099249384 × 1020

Factors of 138751744209924938400

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 210

Divisors of 138751744209924938400

Bases of 138751744209924938400

  • Binary: 11110000101100100010011100000111000011111100111000001011010101000002
  • Hexadecimal: 0x7859138387E705AA0
  • Base-36: TA658DA64JU00

Squares and roots of 138751744209924938400

  • 138751744209924938400 squared (1387517442099249384002) is 19252046521296438668253618962243794560000
  • 138751744209924938400 cubed (1387517442099249384003) is 2671255034440498686266316240895315644603813138790255104000000
  • The square root of 138751744209924938400 is 11779293026.7450660105
  • The cube root of 138751744209924938400 is 5177015.7202787319

Scales and comparisons

How big is 138751744209924938400?
  • 138,751,744,209,924,938,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,751,744,209,924,938,400 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 138751744209924938400 cubic inches would be around 431418 feet tall.

Recreational maths with 138751744209924938400

  • 138751744209924938400 backwards is 004839429902447157831
  • 138751744209924938400 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138751744209924938400's digits is 90
  • More coming soon!

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"Number 138751744209924938400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.

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Numbermatics. (2024). Number 138751744209924938400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138751744209924938400/

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The information we have on file for 138751744209924938400 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 138751744209924938400, math, Factors of 138751744209924938400, curriculum, school, college, exams, university, Prime factorization of 138751744209924938400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred fifty-one quadrillion, seven hundred forty-four trillion, two hundred nine billion, nine hundred twenty-four million, nine hundred thirty-eight thousand, four hundred.

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