138668590399654852992000

138,668,590,399,654,852,992,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138668590399654852992000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 33264 divisors.

138668590399654852992000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of thirty-three thousand, two hundred sixty-four divisors.

Prime factorization of 138668590399654852992000:

210 × 313 × 53 × 72 × 138 × 17

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 17)

See below for interesting mathematical facts about the number 138668590399654852992000 from the Numbermatics database.


Names of 138668590399654852992000

  • Cardinal: 138668590399654852992000 can be written as One hundred thirty-eight sextillion, six hundred sixty-eight quintillion, five hundred ninety quadrillion, three hundred ninety-nine trillion, six hundred fifty-four billion, eight hundred fifty-two million, nine hundred ninety-two thousand.

Scientific notation

  • Scientific notation: 1.38668590399654852992 × 1023

Factors of 138668590399654852992000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 37
  • Sum of prime factors: 47

Divisors of 138668590399654852992000

Bases of 138668590399654852992000

  • Binary: 111010101110100111101010001011110111011001110011100100011011010011100000000002
  • Hexadecimal: 0x1D5D3D45EECE72369C00
  • Base-36: MKWYXURB9R00000

Squares and roots of 138668590399654852992000

  • 138668590399654852992000 squared (1386685903996548529920002) is 19228977963427250061839844080057131352064000000
  • 138668590399654852992000 cubed (1386685903996548529920003) is 2666455269014482694812669160352795318898942779230372115775488000000000
  • The square root of 138668590399654852992000 is 372382317517.4337584407
  • The cube root of 138668590399654852992000 is 51759813.1980753981

Scales and comparisons

How big is 138668590399654852992000?
  • 138,668,590,399,654,852,992,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,668,590,399,654,852,992,000 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 138668590399654852992000 cubic inches would be around 4313317.8 feet tall.

Recreational maths with 138668590399654852992000

  • 138668590399654852992000 backwards is 000299258456993095866831
  • 138668590399654852992000 is a Harshad number.
  • The number of decimal digits it has is: 24
  • The sum of 138668590399654852992000's digits is 117
  • More coming soon!

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The information we have on file for 138668590399654852992000 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 138668590399654852992000, math, Factors of 138668590399654852992000, curriculum, school, college, exams, university, Prime factorization of 138668590399654852992000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, six hundred sixty-eight quintillion, five hundred ninety quadrillion, three hundred ninety-nine trillion, six hundred fifty-four billion, eight hundred fifty-two million, nine hundred ninety-two thousand.

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