138507946700046336000

138,507,946,700,046,336,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138507946700046336000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 18000 divisors.

138507946700046336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eighteen thousand divisors.

Prime factorization of 138507946700046336000:

224 × 39 × 53 × 72 × 31 × 472

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 47 × 47)

See below for interesting mathematical facts about the number 138507946700046336000 from the Numbermatics database.


Names of 138507946700046336000

  • Cardinal: 138507946700046336000 can be written as One hundred thirty-eight quintillion, five hundred seven quadrillion, nine hundred forty-six trillion, seven hundred billion, forty-six million, three hundred thirty-six thousand.

Scientific notation

  • Scientific notation: 1.38507946700046336 × 1020

Factors of 138507946700046336000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 41
  • Sum of prime factors: 95

Divisors of 138507946700046336000

Bases of 138507946700046336000

  • Binary: 11110000010001011110001001110101101010110010000000000000000000000002
  • Hexadecimal: 0x7822F13AD59000000
  • Base-36: T8BGPD4AO0000

Squares and roots of 138507946700046336000

  • 138507946700046336000 squared (1385079467000463360002) is 19184451299062876698436584547024896000000
  • 138507946700046336000 cubed (1385079467000463360003) is 2657198958000235616431119803224066696322614145581056000000000
  • The square root of 138507946700046336000 is 11768939914.0299096015
  • The cube root of 138507946700046336000 is 5173981.8040838421

Scales and comparisons

How big is 138507946700046336000?
  • 138,507,946,700,046,336,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,507,946,700,046,336,000 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 138507946700046336000 cubic inches would be around 431165.2 feet tall.

Recreational maths with 138507946700046336000

  • 138507946700046336000 backwards is 000633640007649705831
  • 138507946700046336000 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138507946700046336000's digits is 72
  • More coming soon!

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"Number 138507946700046336000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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The information we have on file for 138507946700046336000 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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