46978343553777734246400

46,978,343,553,777,734,246,400 is an even composite number composed of six prime numbers multiplied together.

What does the number 46978343553777734246400 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 17640 divisors.

46978343553777734246400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seventeen thousand, six hundred forty divisors.

Prime factorization of 46978343553777734246400:

213 × 34 × 52 × 72 × 233 × 416

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

See below for interesting mathematical facts about the number 46978343553777734246400 from the Numbermatics database.


Names of 46978343553777734246400

  • Cardinal: 46978343553777734246400 can be written as Forty-six sextillion, nine hundred seventy-eight quintillion, three hundred forty-three quadrillion, five hundred fifty-three trillion, seven hundred seventy-seven billion, seven hundred thirty-four million, two hundred forty-six thousand, four hundred.

Scientific notation

  • Scientific notation: 4.69783435537777342464 × 1022

Factors of 46978343553777734246400

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 30
  • Sum of prime factors: 81

Divisors of 46978343553777734246400

Bases of 46978343553777734246400

  • Binary: 10011111001010110011011110111100000000111010101011111101111111100000000000002
  • Hexadecimal: 0x9F2B37BC03AAFDFE000
  • Base-36: 7NEFFHP8MJG1S00

Squares and roots of 46978343553777734246400

  • 46978343553777734246400 squared (469783435537777342464002) is 2206964763056769997050230377476423375912960000
  • 46978343553777734246400 cubed (469783435537777342464003) is 103679548849962615440755830844958281656892113573179889857593344000000
  • The square root of 46978343553777734246400 is 216744881263.1517123977
  • The cube root of 46978343553777734246400 is 36082717.0882754487
  • Being both a perfect square and a perfect cube, 46978343553777734246400 is also a perfect sixth number.

Scales and comparisons

How big is 46978343553777734246400?
  • 46,978,343,553,777,734,246,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 46,978,343,553,777,734,246,400 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 46978343553777734246400 cubic inches would be around 3006893.1 feet tall.

Recreational maths with 46978343553777734246400

  • 46978343553777734246400 backwards is 00464243777735534387964
  • 46978343553777734246400 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 46978343553777734246400's digits is 108
  • More coming soon!

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"Number 46978343553777734246400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.

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The information we have on file for 46978343553777734246400 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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