48135968306023628800

48,135,968,306,023,628,800 is an even composite number composed of five prime numbers multiplied together.

What does the number 48135968306023628800 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 5040 divisors.

48135968306023628800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.

Prime factorization of 48135968306023628800:

227 × 52 × 74 × 113 × 672

(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 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 67 × 67)

See below for interesting mathematical facts about the number 48135968306023628800 from the Numbermatics database.


Names of 48135968306023628800

  • Cardinal: 48135968306023628800 can be written as Forty-eight quintillion, one hundred thirty-five quadrillion, nine hundred sixty-eight trillion, three hundred six billion, twenty-three million, six hundred twenty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.81359683060236288 × 1019

Factors of 48135968306023628800

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 92

Divisors of 48135968306023628800

Bases of 48135968306023628800

  • Binary: 1010011100000001010101000000100011100110000000000000000000000000002
  • Hexadecimal: 0x29C05502398000000
  • Base-36: A5PQ0O1DAY5TS

Squares and roots of 48135968306023628800

  • 48135968306023628800 squared (481359683060236288002) is 2317071444758511299971818183920189440000
  • 48135968306023628800 cubed (481359683060236288003) is 111534477627688079376940208706181491814860102012239872000000
  • The square root of 48135968306023628800 is 6938008958.3412638313
  • The cube root of 48135968306023628800 is 3637669.4896228005

Scales and comparisons

How big is 48135968306023628800?
  • 48,135,968,306,023,628,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 48,135,968,306,023,628,800 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 48135968306023628800 cubic inches would be around 303139.1 feet tall.

Recreational maths with 48135968306023628800

  • 48135968306023628800 backwards is 00882632060386953184
  • The number of decimal digits it has is: 20
  • The sum of 48135968306023628800's digits is 82
  • More coming soon!

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"Number 48135968306023628800 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.

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Numbermatics. (2024). Number 48135968306023628800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/48135968306023628800/

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The information we have on file for 48135968306023628800 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 48135968306023628800, math, Factors of 48135968306023628800, curriculum, school, college, exams, university, Prime factorization of 48135968306023628800, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, one hundred thirty-five quadrillion, nine hundred sixty-eight trillion, three hundred six billion, twenty-three million, six hundred twenty-eight thousand, eight hundred.

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