138175772218402208000

138,175,772,218,402,208,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138175772218402208000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.

138175772218402208000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.

Prime factorization of 138175772218402208000:

28 × 53 × 192 × 312 × 41 × 3072 × 3221

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 41 × 307 × 307 × 3221)

See below for interesting mathematical facts about the number 138175772218402208000 from the Numbermatics database.


Names of 138175772218402208000

  • Cardinal: 138175772218402208000 can be written as One hundred thirty-eight quintillion, one hundred seventy-five quadrillion, seven hundred seventy-two trillion, two hundred eighteen billion, four hundred two million, two hundred eight thousand.

Scientific notation

  • Scientific notation: 1.38175772218402208 × 1020

Factors of 138175772218402208000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 3626

Divisors of 138175772218402208000

Bases of 138175772218402208000

  • Binary: 11101111101100100101111010010111110111110110010011011111001000000002
  • Hexadecimal: 0x77D92F4BEFB26F900
  • Base-36: T5SLZC62W1O8W

Squares and roots of 138175772218402208000

  • 138175772218402208000 squared (1381757722184022080002) is 19092544028151771441508676459275264000000
  • 138175772218402208000 cubed (1381757722184022080003) is 2638127014703714524183575256395423953567147737382912000000000
  • The square root of 138175772218402208000 is 11754819106.1539610577
  • The cube root of 138175772218402208000 is 5169842.3533197429

Scales and comparisons

How big is 138175772218402208000?
  • 138,175,772,218,402,208,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,175,772,218,402,208,000 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 138175772218402208000 cubic inches would be around 430820.2 feet tall.

Recreational maths with 138175772218402208000

  • 138175772218402208000 backwards is 000802204812277571831
  • The number of decimal digits it has is: 21
  • The sum of 138175772218402208000's digits is 68
  • More coming soon!

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"Number 138175772218402208000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.

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Numbermatics. (2024). Number 138175772218402208000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138175772218402208000/

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The information we have on file for 138175772218402208000 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 138175772218402208000, math, Factors of 138175772218402208000, curriculum, school, college, exams, university, Prime factorization of 138175772218402208000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred seventy-five quadrillion, seven hundred seventy-two trillion, two hundred eighteen billion, four hundred two million, two hundred eight thousand.

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