138095947418488012800

138,095,947,418,488,012,800 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138095947418488012800 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 14094 divisors.

138095947418488012800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand and ninety-four divisors.

Prime factorization of 138095947418488012800:

228 × 32 × 52 × 7 × 112 × 312 × 532

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 31 × 31 × 53 × 53)

See below for interesting mathematical facts about the number 138095947418488012800 from the Numbermatics database.


Names of 138095947418488012800

  • Cardinal: 138095947418488012800 can be written as One hundred thirty-eight quintillion, ninety-five quadrillion, nine hundred forty-seven trillion, four hundred eighteen billion, four hundred eighty-eight million, twelve thousand, eight hundred.

Scientific notation

  • Scientific notation: 1.380959474184880128 × 1020

Factors of 138095947418488012800

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 39
  • Sum of prime factors: 112

Divisors of 138095947418488012800

Bases of 138095947418488012800

  • Binary: 11101111100011101110101110010000011011100000000000000000000000000002
  • Hexadecimal: 0x77C775C8370000000
  • Base-36: T56RZT38YE4G0

Squares and roots of 138095947418488012800

  • 138095947418488012800 squared (1380959474184880128002) is 19070490693409806046660460057292963840000
  • 138095947418488012800 cubed (1380959474184880128003) is 2633557480041885578505866207567906103631863064823857152000000
  • The square root of 138095947418488012800 is 11751423208.2113361695
  • The cube root of 138095947418488012800 is 5168846.6140529871

Scales and comparisons

How big is 138095947418488012800?
  • 138,095,947,418,488,012,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,095,947,418,488,012,800 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 138095947418488012800 cubic inches would be around 430737.2 feet tall.

Recreational maths with 138095947418488012800

  • 138095947418488012800 backwards is 008210884814749590831
  • 138095947418488012800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138095947418488012800's digits is 90
  • More coming soon!

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"Number 138095947418488012800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.

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The information we have on file for 138095947418488012800 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 138095947418488012800, math, Factors of 138095947418488012800, curriculum, school, college, exams, university, Prime factorization of 138095947418488012800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, ninety-five quadrillion, nine hundred forty-seven trillion, four hundred eighteen billion, four hundred eighty-eight million, twelve thousand, eight hundred.

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