138528809099036288100

138,528,809,099,036,288,100 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138528809099036288100 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 12096 divisors.

138528809099036288100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand and ninety-six divisors.

Prime factorization of 138528809099036288100:

22 × 33 × 52 × 76 × 172 × 313 × 373

(2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 31 × 31 × 31 × 37 × 37 × 37)

See below for interesting mathematical facts about the number 138528809099036288100 from the Numbermatics database.


Names of 138528809099036288100

  • Cardinal: 138528809099036288100 can be written as One hundred thirty-eight quintillion, five hundred twenty-eight quadrillion, eight hundred nine trillion, ninety-nine billion, thirty-six million, two hundred eighty-eight thousand, one hundred.

Scientific notation

  • Scientific notation: 1.385288090990362881 × 1020

Factors of 138528809099036288100

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 21
  • Sum of prime factors: 102

Divisors of 138528809099036288100

Bases of 138528809099036288100

  • Binary: 11110000010011110010011000111101011001000011111010101100100011001002
  • Hexadecimal: 0x7827931EB21F56464
  • Base-36: T8H64GU2ZFRL0

Squares and roots of 138528809099036288100

  • 138528809099036288100 squared (1385288090990362881002) is 19190230950397239086355932160626201610000
  • 138528809099036288100 cubed (1385288090990362881003) is 2658399839893996848630213211897271279831014469056643841000000
  • The square root of 138528809099036288100 is 11769826213.6293366811
  • The cube root of 138528809099036288100 is 5174241.5635568803

Scales and comparisons

How big is 138528809099036288100?
  • 138,528,809,099,036,288,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,528,809,099,036,288,100 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 138528809099036288100 cubic inches would be around 431186.8 feet tall.

Recreational maths with 138528809099036288100

  • 138528809099036288100 backwards is 001882630990908825831
  • 138528809099036288100 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138528809099036288100's digits is 90
  • More coming soon!

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"Number 138528809099036288100 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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Numbermatics. (2024). Number 138528809099036288100 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138528809099036288100/

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The information we have on file for 138528809099036288100 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!

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