138204643409974310400

138,204,643,409,974,310,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 138204643409974310400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 25920 divisors.

138204643409974310400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twenty-five thousand, nine hundred twenty divisors.

Prime factorization of 138204643409974310400:

29 × 38 × 52 × 73 × 115 × 313

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 138204643409974310400 from the Numbermatics database.


Names of 138204643409974310400

  • Cardinal: 138204643409974310400 can be written as One hundred thirty-eight quintillion, two hundred four quadrillion, six hundred forty-three trillion, four hundred nine billion, nine hundred seventy-four million, three hundred ten thousand, four hundred.

Scientific notation

  • Scientific notation: 1.382046434099743104 × 1020

Factors of 138204643409974310400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 59

Divisors of 138204643409974310400

Bases of 138204643409974310400

  • Binary: 11101111101111110011000011011110001000110010000110010110110000000002
  • Hexadecimal: 0x77DF986F1190CB600
  • Base-36: T60I9BKDY0000

Squares and roots of 138204643409974310400

  • 138204643409974310400 squared (1382046434099743104002) is 19100523460078155584085309587955548160000
  • 138204643409974310400 cubed (1382046434099743104003) is 2639781033743950178421530458837157646414690882749988864000000
  • The square root of 138204643409974310400 is 11756047099.6833927451
  • The cube root of 138204643409974310400 is 5170202.3998317443

Scales and comparisons

How big is 138204643409974310400?
  • 138,204,643,409,974,310,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,204,643,409,974,310,400 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 138204643409974310400 cubic inches would be around 430850.2 feet tall.

Recreational maths with 138204643409974310400

  • 138204643409974310400 backwards is 004013479904346402831
  • 138204643409974310400 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138204643409974310400's digits is 72
  • More coming soon!

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"Number 138204643409974310400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.

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Numbermatics. (2024). Number 138204643409974310400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138204643409974310400/

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The information we have on file for 138204643409974310400 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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