468478231
468,478,231 is an odd composite number composed of six prime numbers multiplied together.
What does the number 468478231 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 64 divisors.
468478231 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 468478231:
13 × 17 × 19 × 31 × 59 × 61
See below for interesting mathematical facts about the number 468478231 from the Numbermatics database.
Names of 468478231
- Cardinal: 468478231 can be written as Four hundred sixty-eight million, four hundred seventy-eight thousand, two hundred thirty-one.
Scientific notation
- Scientific notation: 4.68478231 × 108
Factors of 468478231
Divisors of 468478231
- Number of divisors d(n): 64
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Complete list of divisors:
1 13 17 19 31 59 61 221 247 323 403 527 589 767 793 1003 1037 1121 1159 1829 1891 3599 4199 6851 7657 10013 13039 13481 14573 15067 19057 19703 23777 24583 31093 32147 34751 35929 46787 61183 68381 111569 130169 247741 256139 404209 417911 451763 467077 590767 610793 795379 888953 1162477 1450397 1896673 2119811 7679971 7940309 15112201 24656749 27557543 36036787 468478231
- Sum of all divisors σ(n): 599961600
- Sum of proper divisors (its aliquot sum) s(n): 131483369
- 468478231 is a deficient number, because the sum of its proper divisors (131483369) is less than itself. Its deficiency is 336994862
Bases of 468478231
- Binary: 110111110110001101001000101112
- Hexadecimal: 0x1BEC6917
- Base-36: 7QX447
Squares and roots of 468478231
- 468478231 squared (4684782312) is 219471852920889361
- 468478231 cubed (4684782313) is 102817785410670430788000391
-
The
square root of 468478231 is 21644.3579484355 -
The
cube root of 468478231 is 776.6579731161
Scales and comparisons
How big is 468478231?- 468,478,231 seconds is equal to 14 years, 46 weeks, 4 days, 4 hours, 50 minutes, 31 seconds.
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To count from 1 to 468,478,231 would take you about twenty-two 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 468478231 cubic inches would be around 64.7 feet tall.
Recreational maths with 468478231
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