138122881977638708640

138,122,881,977,638,708,640 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138122881977638708640 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 14580 divisors.

138122881977638708640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand, five hundred eighty divisors.

Prime factorization of 138122881977638708640:

25 × 34 × 5 × 78 × 192 × 312 × 732

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 31 × 31 × 73 × 73)

See below for interesting mathematical facts about the number 138122881977638708640 from the Numbermatics database.


Names of 138122881977638708640

  • Cardinal: 138122881977638708640 can be written as One hundred thirty-eight quintillion, one hundred twenty-two quadrillion, eight hundred eighty-one trillion, nine hundred seventy-seven billion, six hundred thirty-eight million, seven hundred eight thousand, six hundred forty.

Scientific notation

  • Scientific notation: 1.3812288197763870864 × 1020

Factors of 138122881977638708640

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 24
  • Sum of prime factors: 140

Divisors of 138122881977638708640

Bases of 138122881977638708640

  • Binary: 11101111100110101110000110101011010001011100101101111100101101000002
  • Hexadecimal: 0x77CD70D5A2E5BE5A0
  • Base-36: T5E57B8WJ0A00

Squares and roots of 138122881977638708640

  • 138122881977638708640 squared (1381228819776387086402) is 19077930525808711984730228311286810649600
  • 138122881977638708640 cubed (1381228819776387086403) is 2635098746393867517005432518556050909243038997739143532544000
  • The square root of 138122881977638708640 is 11752569164.9800006033
  • The cube root of 138122881977638708640 is 5169182.6402172713

Scales and comparisons

How big is 138122881977638708640?
  • 138,122,881,977,638,708,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,122,881,977,638,708,640 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 138122881977638708640 cubic inches would be around 430765.2 feet tall.

Recreational maths with 138122881977638708640

  • 138122881977638708640 backwards is 046807836779188221831
  • The number of decimal digits it has is: 21
  • The sum of 138122881977638708640's digits is 99
  • More coming soon!

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"Number 138122881977638708640 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.

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Numbermatics. (2024). Number 138122881977638708640 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138122881977638708640/

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Numbermatics. 2024. "Number 138122881977638708640 - Facts about the integer". https://numbermatics.com/n/138122881977638708640/

The information we have on file for 138122881977638708640 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 138122881977638708640, math, Factors of 138122881977638708640, curriculum, school, college, exams, university, Prime factorization of 138122881977638708640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred twenty-two quadrillion, eight hundred eighty-one trillion, nine hundred seventy-seven billion, six hundred thirty-eight million, seven hundred eight thousand, six hundred forty.

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