138667824771460300800

138,667,824,771,460,300,800 is an even composite number composed of nine prime numbers multiplied together.

What does the number 138667824771460300800 look like?

This visualization shows the relationship between its 9 prime factors (large circles) and 22032 divisors.

138667824771460300800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of twenty-two thousand and thirty-two divisors.

Prime factorization of 138667824771460300800:

216 × 32 × 52 × 11 × 192 × 29 × 61 × 83 × 1272

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 19 × 19 × 29 × 61 × 83 × 127 × 127)

See below for interesting mathematical facts about the number 138667824771460300800 from the Numbermatics database.


Names of 138667824771460300800

  • Cardinal: 138667824771460300800 can be written as One hundred thirty-eight quintillion, six hundred sixty-seven quadrillion, eight hundred twenty-four trillion, seven hundred seventy-one billion, four hundred sixty million, three hundred thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.386678247714603008 × 1020

Factors of 138667824771460300800

  • Number of distinct prime factors ω(n): 9
  • Total number of prime factors Ω(n): 28
  • Sum of prime factors: 340

Divisors of 138667824771460300800

Bases of 138667824771460300800

  • Binary: 11110000100011001110001001111101111100111110000000100000000000000002
  • Hexadecimal: 0x7846713EF9F010000
  • Base-36: T9J6XESCUEBK0

Squares and roots of 138667824771460300800

  • 138667824771460300800 squared (1386678247714603008002) is 19228765626848419023793914110426480640000
  • 138667824771460300800 cubed (1386678247714603008003) is 2666411102515295558370888190236231119165904530819776512000000
  • The square root of 138667824771460300800 is 11775730328.5809114523
  • The cube root of 138667824771460300800 is 5175971.7937749685

Scales and comparisons

How big is 138667824771460300800?
  • 138,667,824,771,460,300,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,667,824,771,460,300,800 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 138667824771460300800 cubic inches would be around 431331 feet tall.

Recreational maths with 138667824771460300800

  • 138667824771460300800 backwards is 008003064177428766831
  • The number of decimal digits it has is: 21
  • The sum of 138667824771460300800's digits is 81
  • More coming soon!

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"Number 138667824771460300800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.

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The information we have on file for 138667824771460300800 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 138667824771460300800, math, Factors of 138667824771460300800, curriculum, school, college, exams, university, Prime factorization of 138667824771460300800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred sixty-seven quadrillion, eight hundred twenty-four trillion, seven hundred seventy-one billion, four hundred sixty million, three hundred thousand, eight hundred.

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