138723715908353392128

138,723,715,908,353,392,128 is an even composite number composed of eleven prime numbers multiplied together.

What does the number 138723715908353392128 look like?

This visualization shows the relationship between its 11 prime factors (large circles) and 15360 divisors.

138723715908353392128 is an even composite number. It is composed of eleven distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred sixty divisors.

Prime factorization of 138723715908353392128:

29 × 32 × 13 × 17 × 19 × 23 × 41 × 137 × 193 × 421 × 683

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 23 × 41 × 137 × 193 × 421 × 683)

See below for interesting mathematical facts about the number 138723715908353392128 from the Numbermatics database.


Names of 138723715908353392128

  • Cardinal: 138723715908353392128 can be written as One hundred thirty-eight quintillion, seven hundred twenty-three quadrillion, seven hundred fifteen trillion, nine hundred eight billion, three hundred fifty-three million, three hundred ninety-two thousand, one hundred twenty-eight.

Scientific notation

  • Scientific notation: 1.38723715908353392128 × 1020

Factors of 138723715908353392128

  • Number of distinct prime factors ω(n): 11
  • Total number of prime factors Ω(n): 20
  • Sum of prime factors: 1552

Divisors of 138723715908353392128

Bases of 138723715908353392128

  • Binary: 11110000101001011011010010010100000111111111001101111111110000000002
  • Hexadecimal: 0x7852DA4A0FF9BFE00
  • Base-36: T9YH95Y6M5J40

Squares and roots of 138723715908353392128

  • 138723715908353392128 squared (1387237159083533921282) is 19244269355421540002801716030444132368384
  • 138723715908353392128 cubed (1387237159083533921283) is 2669636554925328768231840385020848522127299581775448901681152
  • The square root of 138723715908353392128 is 11778103238.9919809247
  • The cube root of 138723715908353392128 is 5176667.1054914755

Scales and comparisons

How big is 138723715908353392128?
  • 138,723,715,908,353,392,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,723,715,908,353,392,128 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 138723715908353392128 cubic inches would be around 431388.9 feet tall.

Recreational maths with 138723715908353392128

  • 138723715908353392128 backwards is 821293353809517327831
  • The number of decimal digits it has is: 21
  • The sum of 138723715908353392128's digits is 90
  • More coming soon!

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"Number 138723715908353392128 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.

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Numbermatics. (2024). Number 138723715908353392128 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138723715908353392128/

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Numbermatics. 2024. "Number 138723715908353392128 - Facts about the integer". https://numbermatics.com/n/138723715908353392128/

The information we have on file for 138723715908353392128 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 138723715908353392128, math, Factors of 138723715908353392128, curriculum, school, college, exams, university, Prime factorization of 138723715908353392128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred twenty-three quadrillion, seven hundred fifteen trillion, nine hundred eight billion, three hundred fifty-three million, three hundred ninety-two thousand, one hundred twenty-eight.

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