46138742394550583500800

46,138,742,394,550,583,500,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 46138742394550583500800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 53760 divisors.

46138742394550583500800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of fifty-three thousand, seven hundred sixty divisors.

Prime factorization of 46138742394550583500800:

213 × 315 × 52 × 74 × 113 × 173

(2 × 2 × 2 × 2 × 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 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 17 × 17 × 17)

See below for interesting mathematical facts about the number 46138742394550583500800 from the Numbermatics database.


Names of 46138742394550583500800

  • Cardinal: 46138742394550583500800 can be written as Forty-six sextillion, one hundred thirty-eight quintillion, seven hundred forty-two quadrillion, three hundred ninety-four trillion, five hundred fifty billion, five hundred eighty-three million, five hundred thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.61387423945505835008 × 1022

Factors of 46138742394550583500800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 40
  • Sum of prime factors: 45

Divisors of 46138742394550583500800

Bases of 46138742394550583500800

  • Binary: 10011100010100101111101011010011101001001111010010110101111100100000000000002
  • Hexadecimal: 0x9C52FAD3A4F4B5F2000
  • Base-36: 7IH8J8HSI000000

Squares and roots of 46138742394550583500800

  • 46138742394550583500800 squared (461387423945505835008002) is 2128783549750699311855898928021753183600640000
  • 46138742394550583500800 cubed (461387423945505835008003) is 98219395815704471570339581683666189943320498419912545520320512000000
  • The square root of 46138742394550583500800 is 214799307248.7678753053
  • The cube root of 46138742394550583500800 is 35866465.7885812045

Scales and comparisons

How big is 46138742394550583500800?
  • 46,138,742,394,550,583,500,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 46,138,742,394,550,583,500,800 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 46138742394550583500800 cubic inches would be around 2988872.1 feet tall.

Recreational maths with 46138742394550583500800

  • 46138742394550583500800 backwards is 00800538505549324783164
  • 46138742394550583500800 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 46138742394550583500800's digits is 90
  • More coming soon!

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"Number 46138742394550583500800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.

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The information we have on file for 46138742394550583500800 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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