948001996148804812800

948,001,996,148,804,812,800 is an even composite number composed of five prime numbers multiplied together.

What does the number 948001996148804812800 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 9720 divisors.

948001996148804812800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred twenty divisors.

Prime factorization of 948001996148804812800:

217 × 314 × 52 × 132 × 713

(2 × 2 × 2 × 2 × 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 × 5 × 5 × 13 × 13 × 71 × 71 × 71)

See below for interesting mathematical facts about the number 948001996148804812800 from the Numbermatics database.


Names of 948001996148804812800

  • Cardinal: 948001996148804812800 can be written as Nine hundred forty-eight quintillion, one quadrillion, nine hundred ninety-six trillion, one hundred forty-eight billion, eight hundred four million, eight hundred twelve thousand, eight hundred.

Scientific notation

  • Scientific notation: 9.480019961488048128 × 1020

Factors of 948001996148804812800

  • Number of distinct prime factors ω(n): 5
  • Total number of prime factors Ω(n): 38
  • Sum of prime factors: 94

Divisors of 948001996148804812800

Bases of 948001996148804812800

  • Binary: 11001101100100001010111010100011000100011110101011111000000000000000002
  • Hexadecimal: 0x33642BA8C47ABE0000
  • Base-36: 5K2H3940000000

Squares and roots of 948001996148804812800

  • 948001996148804812800 squared (9480019961488048128002) is 898707784702118535119755569912443043840000
  • 948001996148804812800 cubed (9480019961488048128003) is 851976773852078680386625831691019003959213904169273393152000000
  • The square root of 948001996148804812800 is 30789641052.6138614287
  • The cube root of 948001996148804812800 is 9823579.1936523261

Scales and comparisons

How big is 948001996148804812800?
  • 948,001,996,148,804,812,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 948,001,996,148,804,812,800 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 948001996148804812800 cubic inches would be around 818631.6 feet tall.

Recreational maths with 948001996148804812800

  • 948001996148804812800 backwards is 008218408841699100849
  • 948001996148804812800 is a Harshad number.
  • The number of decimal digits it has is: 21
  • The sum of 948001996148804812800's digits is 90
  • More coming soon!

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"Number 948001996148804812800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.

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Numbermatics. (2024). Number 948001996148804812800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/948001996148804812800/

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Numbermatics. 2024. "Number 948001996148804812800 - Facts about the integer". https://numbermatics.com/n/948001996148804812800/

The information we have on file for 948001996148804812800 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 948001996148804812800, math, Factors of 948001996148804812800, curriculum, school, college, exams, university, Prime factorization of 948001996148804812800, STEM, science, technology, engineering, physics, economics, calculator, nine hundred forty-eight quintillion, one quadrillion, nine hundred ninety-six trillion, one hundred forty-eight billion, eight hundred four million, eight hundred twelve thousand, eight hundred.

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