13728712437506170944000

13,728,712,437,506,170,944,000 is an even composite number composed of six prime numbers multiplied together.

What does the number 13728712437506170944000 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 15360 divisors.

13728712437506170944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of fifteen thousand, three hundred sixty divisors.

Prime factorization of 13728712437506170944000:

29 × 315 × 53 × 7 × 613 × 972

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 61 × 61 × 61 × 97 × 97)

See below for interesting mathematical facts about the number 13728712437506170944000 from the Numbermatics database.


Names of 13728712437506170944000

  • Cardinal: 13728712437506170944000 can be written as Thirteen sextillion, seven hundred twenty-eight quintillion, seven hundred twelve quadrillion, four hundred thirty-seven trillion, five hundred six billion, one hundred seventy million, nine hundred forty-four thousand.

Scientific notation

  • Scientific notation: 1.3728712437506170944 × 1022

Factors of 13728712437506170944000

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 33
  • Sum of prime factors: 175

Divisors of 13728712437506170944000

Bases of 13728712437506170944000

  • Binary: 101110100000111100001010000111100000010011011100100111101111111010000000002
  • Hexadecimal: 0x2E83C287813727BFA00
  • Base-36: 28HCBJWT5MI0000

Squares and roots of 13728712437506170944000

  • 13728712437506170944000 squared (137287124375061709440002) is 188477545191736629637537870080549851136000000
  • 13728712437506170944000 cubed (137287124375061709440003) is 2587554018864426073905832949856345854623723052620568592384000000000
  • The square root of 13728712437506170944000 is 117169588364.4991344133
  • The cube root of 13728712437506170944000 is 23944729.5480914991

Scales and comparisons

How big is 13728712437506170944000?
  • 13,728,712,437,506,170,944,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 13,728,712,437,506,170,944,000 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 13728712437506170944000 cubic inches would be around 1995394.1 feet tall.

Recreational maths with 13728712437506170944000

  • 13728712437506170944000 backwards is 00044907160573421782731
  • 13728712437506170944000 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 13728712437506170944000's digits is 81
  • More coming soon!

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"Number 13728712437506170944000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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Numbermatics. (2024). Number 13728712437506170944000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13728712437506170944000/

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Numbermatics. 2024. "Number 13728712437506170944000 - Facts about the integer". https://numbermatics.com/n/13728712437506170944000/

The information we have on file for 13728712437506170944000 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 13728712437506170944000, math, Factors of 13728712437506170944000, curriculum, school, college, exams, university, Prime factorization of 13728712437506170944000, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, seven hundred twenty-eight quintillion, seven hundred twelve quadrillion, four hundred thirty-seven trillion, five hundred six billion, one hundred seventy million, nine hundred forty-four thousand.

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