138128121185524312752

138,128,121,185,524,312,752 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138128121185524312752 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 9600 divisors.

138128121185524312752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, six hundred divisors.

Prime factorization of 138128121185524312752:

24 × 33 × 72 × 134 × 19 × 293 × 793

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 29 × 29 × 29 × 79 × 79 × 79)

See below for interesting mathematical facts about the number 138128121185524312752 from the Numbermatics database.


Names of 138128121185524312752

  • Cardinal: 138128121185524312752 can be written as One hundred thirty-eight quintillion, one hundred twenty-eight quadrillion, one hundred twenty-one trillion, one hundred eighty-five billion, five hundred twenty-four million, three hundred twelve thousand, seven hundred fifty-two.

Scientific notation

  • Scientific notation: 1.38128121185524312752 × 1020

Factors of 138128121185524312752

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 152

Divisors of 138128121185524312752

Bases of 138128121185524312752

  • Binary: 11101111100111010011010101001100010010100110100100011101010101100002
  • Hexadecimal: 0x77CE9AA625348EAB0
  • Base-36: T5FKSGFS1R9O0

Squares and roots of 138128121185524312752

  • 138128121185524312752 squared (1381281211855243127522) is 19079377862242890474919468606101909813504
  • 138128121185524312752 cubed (1381281211855243127523) is 2635398617500295772537759009536787242742864157809014089003008
  • The square root of 138128121185524312752 is 11752792059.1459590731
  • The cube root of 138128121185524312752 is 5169247.9976720357

Scales and comparisons

How big is 138128121185524312752?
  • 138,128,121,185,524,312,752 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,128,121,185,524,312,752 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 138128121185524312752 cubic inches would be around 430770.7 feet tall.

Recreational maths with 138128121185524312752

  • 138128121185524312752 backwards is 257213425581121821831
  • 138128121185524312752 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138128121185524312752's digits is 72
  • More coming soon!

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"Number 138128121185524312752 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.

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Numbermatics. (2024). Number 138128121185524312752 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138128121185524312752/

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Numbermatics. 2024. "Number 138128121185524312752 - Facts about the integer". https://numbermatics.com/n/138128121185524312752/

The information we have on file for 138128121185524312752 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 138128121185524312752, math, Factors of 138128121185524312752, curriculum, school, college, exams, university, Prime factorization of 138128121185524312752, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred twenty-eight quadrillion, one hundred twenty-one trillion, one hundred eighty-five billion, five hundred twenty-four million, three hundred twelve thousand, seven hundred fifty-two.

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