48142380132058888166400

48,142,380,132,058,888,166,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 48142380132058888166400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 27720 divisors.

48142380132058888166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of twenty-seven thousand, seven hundred twenty divisors.

Prime factorization of 48142380132058888166400:

210 × 39 × 52 × 72 × 133 × 316

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 31 × 31 × 31 × 31 × 31 × 31)

See below for interesting mathematical facts about the number 48142380132058888166400 from the Numbermatics database.


Names of 48142380132058888166400

  • Cardinal: 48142380132058888166400 can be written as Forty-eight sextillion, one hundred forty-two quintillion, three hundred eighty quadrillion, one hundred thirty-two trillion, fifty-eight billion, eight hundred eighty-eight million, one hundred sixty-six thousand, four hundred.

Scientific notation

  • Scientific notation: 4.81423801320588881664 × 1022

Factors of 48142380132058888166400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 32
  • Sum of prime factors: 61

Divisors of 48142380132058888166400

Bases of 48142380132058888166400

  • Binary: 10100011000111001101101111000110110011011000100010010011110001011100000000002
  • Hexadecimal: 0xA31CDBC6CD8893C5C00
  • Base-36: 7U838FYCYCC0000

Squares and roots of 48142380132058888166400

  • 48142380132058888166400 squared (481423801320588881664002) is 2317688764779658370408214007745741954088960000
  • 48142380132058888166400 cubed (481423801320588881664003) is 111579053541824330930931653757554453300546146205626571836882944000000
  • The square root of 48142380132058888166400 is 219413719106.3013000457
  • The cube root of 48142380132058888166400 is 36378309.9787556743
  • Being both a perfect square and a perfect cube, 48142380132058888166400 is also a perfect sixth number.

Scales and comparisons

How big is 48142380132058888166400?
  • 48,142,380,132,058,888,166,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 48,142,380,132,058,888,166,400 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 48142380132058888166400 cubic inches would be around 3031525.8 feet tall.

Recreational maths with 48142380132058888166400

  • 48142380132058888166400 backwards is 00466188885023108324184
  • 48142380132058888166400 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 48142380132058888166400's digits is 90
  • More coming soon!

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"Number 48142380132058888166400 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.

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Numbermatics. (2024). Number 48142380132058888166400 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/48142380132058888166400/

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Numbermatics. 2024. "Number 48142380132058888166400 - Facts about the integer". https://numbermatics.com/n/48142380132058888166400/

The information we have on file for 48142380132058888166400 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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