138357040538019441600

138,357,040,538,019,441,600 is an even composite number composed of seven prime numbers multiplied together.

What does the number 138357040538019441600 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 28224 divisors.

138357040538019441600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twenty-eight thousand, two hundred twenty-four divisors.

Prime factorization of 138357040538019441600:

26 × 33 × 52 × 76 × 113 × 233 × 412

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 23 × 23 × 23 × 41 × 41)

See below for interesting mathematical facts about the number 138357040538019441600 from the Numbermatics database.


Names of 138357040538019441600

  • Cardinal: 138357040538019441600 can be written as One hundred thirty-eight quintillion, three hundred fifty-seven quadrillion, forty trillion, five hundred thirty-eight billion, nineteen million, four hundred forty-one thousand, six hundred.

Scientific notation

  • Scientific notation: 1.383570405380194416 × 1020

Factors of 138357040538019441600

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 25
  • Sum of prime factors: 92

Divisors of 138357040538019441600

Bases of 138357040538019441600

  • Binary: 11110000000000101101111001101010010100000101111100000101011110000002
  • Hexadecimal: 0x78016F35282F82BC0
  • Base-36: T766TLEIATTC0

Squares and roots of 138357040538019441600

  • 138357040538019441600 squared (1383570405380194416002) is 19142670666439155093922647539575810560000
  • 138357040538019441600 cubed (1383570405380194416003) is 2648523261402477821586353586547050387518533898358583296000000
  • The square root of 138357040538019441600 is 11762526962.2653550625
  • The cube root of 138357040538019441600 is 5172102.0816913295

Scales and comparisons

How big is 138357040538019441600?
  • 138,357,040,538,019,441,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 138,357,040,538,019,441,600 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 138357040538019441600 cubic inches would be around 431008.5 feet tall.

Recreational maths with 138357040538019441600

  • 138357040538019441600 backwards is 006144910835040753831
  • 138357040538019441600 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 138357040538019441600's digits is 72
  • More coming soon!

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"Number 138357040538019441600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

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Numbermatics. (2024). Number 138357040538019441600 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138357040538019441600/

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The information we have on file for 138357040538019441600 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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