972141625
972,141,625 is an odd composite number composed of five prime numbers multiplied together.
972141625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972141625:
53 × 72 × 13 × 29 × 421
(5 × 5 × 5 × 7 × 7 × 13 × 29 × 421)See below for interesting mathematical facts about the number 972141625 from the Numbermatics database.
Names of 972141625
- Cardinal: 972141625 can be written as Nine hundred seventy-two million, one hundred forty-one thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 9.72141625 × 108
Factors of 972141625
Divisors of 972141625
- Number of divisors d(n): 96
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Complete list of divisors:
1 5 7 13 25 29 35 49 65 91 125 145 175 203 245 325 377 421 455 637 725 875 1015 1225 1421 1625 1885 2105 2275 2639 2947 3185 3625 5075 5473 6125 7105 9425 10525 11375 12209 13195 14735 15925 18473 20629 25375 27365 35525 38311 47125 52625 61045 65975 73675 79625 85463 92365 103145 136825 158717 177625 191555 268177 305225 329875 368375 427315 461825 515725 598241 684125 793585 957775 1111019 1340885 1526125 2136575 2309125 2578625 2991205 3967925 4788875 5555095 6704425 7777133 10682875 14956025 19839625 27775475 33522125 38885665 74780125 138877375 194428325 972141625
- Sum of all divisors σ(n): 1576018080
- Sum of proper divisors (its aliquot sum) s(n): 603876455
- 972141625 is a deficient number, because the sum of its proper divisors (603876455) is less than itself. Its deficiency is 368265170
Bases of 972141625
- Binary: 1110011111000110110100001110012
- Hexadecimal: 0x39F1B439
- Base-36: G2SDA1
Squares and roots of 972141625
- 972141625 squared (9721416252) is 945059339057640625
- 972141625 cubed (9721416253) is 918731521592920725853515625
-
The
square root of 972141625 is 31179.1857655071 -
The
cube root of 972141625 is 990.6262829745
Scales and comparisons
How big is 972141625?- 972,141,625 seconds is equal to 30 years, 47 weeks, 2 days, 15 hours, 20 minutes, 25 seconds.
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To count from 1 to 972,141,625 would take you about forty-six 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 972141625 cubic inches would be around 82.6 feet tall.
Recreational maths with 972141625
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