138838975587807017488064000

138,838,975,587,807,017,488,064,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 138838975587807017488064000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 7680 divisors.

138838975587807017488064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, six hundred eighty divisors.

Prime factorization of 138838975587807017488064000:

29 × 53 × 113 × 193 × 233 × 26932

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 19 × 23 × 23 × 23 × 2693 × 2693)

See below for interesting mathematical facts about the number 138838975587807017488064000 from the Numbermatics database.


Names of 138838975587807017488064000

  • Cardinal: 138838975587807017488064000 can be written as One hundred thirty-eight septillion, eight hundred thirty-eight sextillion, nine hundred seventy-five quintillion, five hundred eighty-seven quadrillion, eight hundred seven trillion, seventeen billion, four hundred eighty-eight million, sixty-four thousand.

Scientific notation

  • Scientific notation: 1.38838975587807017488064 × 1026

Factors of 138838975587807017488064000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 2753

Divisors of 138838975587807017488064000

Bases of 138838975587807017488064000

  • Binary: 1110010110110000100101111110010101010010111001101101000010010010111011110011110000000002
  • Hexadecimal: 0x72D84BF2A9736849779E00
  • Base-36: HG0QP36IVZ1FHG5Q8

Squares and roots of 138838975587807017488064000

  • 138838975587807017488064000 squared (1388389755878070174880640002) is 19276261142271672957216850797013177128382468096000000
  • 138838975587807017488064000 cubed (1388389755878070174880640003) is 2676296350156049815274980220108130053315538503339405488594290540806144000000000
  • The square root of 138838975587807017488064000 is 11782995187464.3069247333
  • 138838975587807017488064000 is a perfect cube number. Its cube root is 517810040

Scales and comparisons

How big is 138838975587807017488064000?
  • 138,838,975,587,807,017,488,064,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,838,975,587,807,017,488,064,000 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 138838975587807017488064000 cubic inches would be around 43150836.7 feet tall.

Recreational maths with 138838975587807017488064000

  • 138838975587807017488064000 backwards is 000460884710708785579838831
  • 138838975587807017488064000 is a Harshad number.
  • The number of decimal digits it has is: 27
  • The sum of 138838975587807017488064000's digits is 125
  • More coming soon!

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The information we have on file for 138838975587807017488064000 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 138838975587807017488064000, math, Factors of 138838975587807017488064000, curriculum, school, college, exams, university, Prime factorization of 138838975587807017488064000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, eight hundred thirty-eight sextillion, nine hundred seventy-five quintillion, five hundred eighty-seven quadrillion, eight hundred seven trillion, seventeen billion, four hundred eighty-eight million, sixty-four thousand.

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