40768442980987418928000

40,768,442,980,987,418,928,000 is an even composite number composed of seven prime numbers multiplied together.

What does the number 40768442980987418928000 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 72000 divisors.

40768442980987418928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seventy-two thousand divisors.

Prime factorization of 40768442980987418928000:

27 × 39 × 53 × 74 × 114 × 192 × 1012

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 19 × 19 × 101 × 101)

See below for interesting mathematical facts about the number 40768442980987418928000 from the Numbermatics database.


Names of 40768442980987418928000

  • Cardinal: 40768442980987418928000 can be written as Forty sextillion, seven hundred sixty-eight quintillion, four hundred forty-two quadrillion, nine hundred eighty trillion, nine hundred eighty-seven billion, four hundred eighteen million, nine hundred twenty-eight thousand.

Scientific notation

  • Scientific notation: 4.0768442980987418928 × 1022

Factors of 40768442980987418928000

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 31
  • Sum of prime factors: 148

Divisors of 40768442980987418928000

Bases of 40768442980987418928000

  • Binary: 10001010001000001111110011010000101010111101011000100101101101100011100000002
  • Hexadecimal: 0x8A20FCD0ABD625B6380
  • Base-36: 6MZVIM3C5V7I000

Squares and roots of 40768442980987418928000

  • 40768442980987418928000 squared (407684429809874189280002) is 1662065943094022344928056447019372669184000000
  • 40768442980987418928000 cubed (407684429809874189280003) is 67759840631669730119840570009567593353037664884558163914752000000000
  • The square root of 40768442980987418928000 is 201911968394.6135445827
  • The cube root of 40768442980987418928000 is 34417134.4526106469

Scales and comparisons

How big is 40768442980987418928000?
  • 40,768,442,980,987,418,928,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 40,768,442,980,987,418,928,000 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 40768442980987418928000 cubic inches would be around 2868094.5 feet tall.

Recreational maths with 40768442980987418928000

  • 40768442980987418928000 backwards is 00082981478908924486704
  • 40768442980987418928000 is a Harshad number.
  • The number of decimal digits it has is: 23
  • The sum of 40768442980987418928000's digits is 108
  • More coming soon!

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"Number 40768442980987418928000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.

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Numbermatics. (2024). Number 40768442980987418928000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/40768442980987418928000/

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Numbermatics. 2024. "Number 40768442980987418928000 - Facts about the integer". https://numbermatics.com/n/40768442980987418928000/

The information we have on file for 40768442980987418928000 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 40768442980987418928000, math, Factors of 40768442980987418928000, curriculum, school, college, exams, university, Prime factorization of 40768442980987418928000, STEM, science, technology, engineering, physics, economics, calculator, forty sextillion, seven hundred sixty-eight quintillion, four hundred forty-two quadrillion, nine hundred eighty trillion, nine hundred eighty-seven billion, four hundred eighteen million, nine hundred twenty-eight thousand.

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