428218017226768800

428,218,017,226,768,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 428218017226768800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 3888 divisors.

428218017226768800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.

Prime factorization of 428218017226768800:

25 × 35 × 52 × 172 × 612 × 1273

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 61 × 61 × 127 × 127 × 127)

See below for interesting mathematical facts about the number 428218017226768800 from the Numbermatics database.


Names of 428218017226768800

  • Cardinal: 428218017226768800 can be written as Four hundred twenty-eight quadrillion, two hundred eighteen trillion, seventeen billion, two hundred twenty-six million, seven hundred sixty-eight thousand, eight hundred.

Scientific notation

  • Scientific notation: 4.282180172267688 × 1017

Factors of 428218017226768800

  • Number of distinct prime factors ω(n): 6
  • Total number of prime factors Ω(n): 19
  • Sum of prime factors: 215

Divisors of 428218017226768800

Bases of 428218017226768800

  • Binary: 101111100010101011000000100100100110011100101000001101000002
  • Hexadecimal: 0x5F15604933941A0
  • Base-36: 394EM9CR9600

Squares and roots of 428218017226768800

  • 428218017226768800 squared (4282180172267688002) is 183370670277625260758363288653440000
  • 428218017226768800 cubed (4282180172267688003) is 78522624843828275485106990864635809960474204672000000
  • The square root of 428218017226768800 is 654383692.6656782147
  • The cube root of 428218017226768800 is 753740.1424648517

Scales and comparisons

How big is 428218017226768800?
  • 428,218,017,226,768,800 seconds is equal to 13,616,008,382 years, 26 weeks, 5 days, 18 hours.
  • To count from 1 to 428,218,017,226,768,800 would take you about forty billion, eight hundred forty-eight million, twenty-five thousand, one hundred forty-seven 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 428218017226768800 cubic inches would be around 62811.7 feet tall.

Recreational maths with 428218017226768800

  • 428218017226768800 backwards is 008867622710812824
  • 428218017226768800 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 428218017226768800's digits is 72
  • More coming soon!

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"Number 428218017226768800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.

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Numbermatics. (2024). Number 428218017226768800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/428218017226768800/

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Numbermatics. 2024. "Number 428218017226768800 - Facts about the integer". https://numbermatics.com/n/428218017226768800/

The information we have on file for 428218017226768800 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 428218017226768800, math, Factors of 428218017226768800, curriculum, school, college, exams, university, Prime factorization of 428218017226768800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, two hundred eighteen trillion, seventeen billion, two hundred twenty-six million, seven hundred sixty-eight thousand, eight hundred.

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