3998827982284911168120

3,998,827,982,284,911,168,120 is an even composite number composed of seven prime numbers multiplied together.

What does the number 3998827982284911168120 look like?

This visualization shows the relationship between its 7 prime factors (large circles) and 15120 divisors.

3998827982284911168120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, one hundred twenty divisors.

Prime factorization of 3998827982284911168120:

23 × 35 × 5 × 72 × 132 × 174 × 296

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 17 × 29 × 29 × 29 × 29 × 29 × 29)

See below for interesting mathematical facts about the number 3998827982284911168120 from the Numbermatics database.


Names of 3998827982284911168120

  • Cardinal: 3998827982284911168120 can be written as Three sextillion, nine hundred ninety-eight quintillion, eight hundred twenty-seven quadrillion, nine hundred eighty-two trillion, two hundred eighty-four billion, nine hundred eleven million, one hundred sixty-eight thousand, one hundred twenty.

Scientific notation

  • Scientific notation: 3.99882798228491116812 × 1021

Factors of 3998827982284911168120

  • Number of distinct prime factors ω(n): 7
  • Total number of prime factors Ω(n): 23
  • Sum of prime factors: 76

Divisors of 3998827982284911168120

Bases of 3998827982284911168120

  • Binary: 1101100011000110111000101101111100110000100000000010101001001010011110002
  • Hexadecimal: 0xD8C6E2DF30802A4A78
  • Base-36: NFX7XIVPRDU7I0

Squares and roots of 3998827982284911168120

  • 3998827982284911168120 squared (39988279822849111681202) is 15990625231904813827006299041399502904334400
  • 3998827982284911168120 cubed (39988279822849111681203) is 63943759631572116405724442297111600917225836417242046515099328000
  • The square root of 3998827982284911168120 is 63236286910.9573128495
  • The cube root of 3998827982284911168120 is 15872459.9831058907
  • Being both a perfect square and a perfect cube, 3998827982284911168120 is also a perfect sixth number.

Scales and comparisons

How big is 3998827982284911168120?
  • 3,998,827,982,284,911,168,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
  • To count from 1 to 3,998,827,982,284,911,168,120 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 3998827982284911168120 cubic inches would be around 1322705 feet tall.

Recreational maths with 3998827982284911168120

  • 3998827982284911168120 backwards is 0218611194822897288993
  • 3998827982284911168120 is a Harshad number.
  • The number of decimal digits it has is: 22
  • The sum of 3998827982284911168120's digits is 108
  • More coming soon!

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"Number 3998827982284911168120 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.

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Numbermatics. (2024). Number 3998827982284911168120 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/3998827982284911168120/

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Numbermatics. 2024. "Number 3998827982284911168120 - Facts about the integer". https://numbermatics.com/n/3998827982284911168120/

The information we have on file for 3998827982284911168120 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 3998827982284911168120, math, Factors of 3998827982284911168120, curriculum, school, college, exams, university, Prime factorization of 3998827982284911168120, STEM, science, technology, engineering, physics, economics, calculator, three sextillion, nine hundred ninety-eight quintillion, eight hundred twenty-seven quadrillion, nine hundred eighty-two trillion, two hundred eighty-four billion, nine hundred eleven million, one hundred sixty-eight thousand, one hundred twenty.

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