138633639631838208000

138,633,639,631,838,208,000 is an even composite number composed of eight prime numbers multiplied together.

What does the number 138633639631838208000 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 30240 divisors.

138633639631838208000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of thirty thousand, two hundred forty divisors.

Prime factorization of 138633639631838208000:

213 × 32 × 53 × 11 × 134 × 172 × 292 × 197

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 17 × 17 × 29 × 29 × 197)

See below for interesting mathematical facts about the number 138633639631838208000 from the Numbermatics database.


Names of 138633639631838208000

  • Cardinal: 138633639631838208000 can be written as One hundred thirty-eight quintillion, six hundred thirty-three quadrillion, six hundred thirty-nine trillion, six hundred thirty-one billion, eight hundred thirty-eight million, two hundred eight thousand.

Scientific notation

  • Scientific notation: 1.38633639631838208 × 1020

Factors of 138633639631838208000

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 28
  • Sum of prime factors: 277

Divisors of 138633639631838208000

Bases of 138633639631838208000

  • Binary: 11110000011111011011010000010111011100011110011101101100000000000002
  • Hexadecimal: 0x783EDA0BB8F3B6000
  • Base-36: T99UBSG0LJWG0

Squares and roots of 138633639631838208000

  • 138633639631838208000 squared (1386336396318382080002) is 19219286037570381467777345088651264000000
  • 138633639631838208000 cubed (1386336396318382080003) is 2664439574513751950514025091875349794080711782694912000000000
  • The square root of 138633639631838208000 is 11774278730.8538864909
  • The cube root of 138633639631838208000 is 5175546.4226626011

Scales and comparisons

How big is 138633639631838208000?
  • 138,633,639,631,838,208,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,633,639,631,838,208,000 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 138633639631838208000 cubic inches would be around 431295.5 feet tall.

Recreational maths with 138633639631838208000

  • 138633639631838208000 backwards is 000802838136936336831
  • The number of decimal digits it has is: 21
  • The sum of 138633639631838208000's digits is 81
  • More coming soon!

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"Number 138633639631838208000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.

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The information we have on file for 138633639631838208000 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 138633639631838208000, math, Factors of 138633639631838208000, curriculum, school, college, exams, university, Prime factorization of 138633639631838208000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred thirty-three quadrillion, six hundred thirty-nine trillion, six hundred thirty-one billion, eight hundred thirty-eight million, two hundred eight thousand.

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