138637083138671001600

138,637,083,138,671,001,600 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138637083138671001600 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 18225 divisors.

138637083138671001600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eighteen thousand, two hundred twenty-five divisors.

Prime factorization of 138637083138671001600:

214 × 34 × 52 × 232 × 312 × 472 × 612

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 23 × 31 × 31 × 47 × 47 × 61 × 61)

See below for interesting mathematical facts about the number 138637083138671001600 from the Numbermatics database.


Names of 138637083138671001600

  • Cardinal: 138637083138671001600 can be written as One hundred thirty-eight quintillion, six hundred thirty-seven quadrillion, eighty-three trillion, one hundred thirty-eight billion, six hundred seventy-one million, one thousand, six hundred.

Scientific notation

  • Scientific notation: 1.386370831386710016 × 1020

Factors of 138637083138671001600

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 28
  • Sum of prime factors: 172

Divisors of 138637083138671001600

Bases of 138637083138671001600

  • Binary: 11110000011111110011101110010010101011110001100100001000000000000002
  • Hexadecimal: 0x783F9DC9578C84000
  • Base-36: T9AS8ET7T3400

Squares and roots of 138637083138671001600

  • 138637083138671001600 squared (1386370831386710016002) is 19220240821198775336254312284747202560000
  • 138637083138671001600 cubed (1386370831386710016003) is 2664638124673812821459482689900179832173611461793284096000000
  • 138637083138671001600 is a perfect square number. Its square root is 11774424960
  • The cube root of 138637083138671001600 is 5175589.2739310219

Scales and comparisons

How big is 138637083138671001600?
  • 138,637,083,138,671,001,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,637,083,138,671,001,600 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 138637083138671001600 cubic inches would be around 431299.1 feet tall.

Recreational maths with 138637083138671001600

  • 138637083138671001600 backwards is 006100176831380736831
  • 138637083138671001600 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138637083138671001600's digits is 72
  • More coming soon!

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"Number 138637083138671001600 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.

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Numbermatics. (2024). Number 138637083138671001600 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138637083138671001600/

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The information we have on file for 138637083138671001600 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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