397984125
397,984,125 is an odd composite number composed of five prime numbers multiplied together.
397984125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 397984125:
3 × 53 × 72 × 112 × 179
(3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 179)See below for interesting mathematical facts about the number 397984125 from the Numbermatics database.
Names of 397984125
- Cardinal: 397984125 can be written as Three hundred ninety-seven million, nine hundred eighty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.97984125 × 108
Factors of 397984125
Divisors of 397984125
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 125 147 165 175 179 231 245 275 363 375 385 525 537 539 605 735 825 847 875 895 1155 1225 1253 1375 1617 1815 1925 1969 2541 2625 2685 2695 3025 3675 3759 4125 4235 4475 5775 5907 5929 6125 6265 8085 8771 9075 9625 9845 12705 13425 13475 13783 15125 17787 18375 18795 21175 21659 22375 26313 28875 29535 29645 31325 40425 41349 43855 45375 49225 63525 64977 67125 67375 68915 88935 93975 96481 105875 108295 131565 147675 148225 151613 156625 202125 206745 219275 246125 289443 317625 324885 344575 444675 454839 469875 482405 541475 657825 738375 741125 758065 1033725 1061291 1096375 1447215 1624425 1722875 2223375 2274195 2412025 2707375 3183873 3289125 3790325 5168625 5306455 7236075 8122125 11370975 12060125 15919365 18951625 26532275 36180375 56854875 79596825 132661375 397984125
- Sum of all divisors σ(n): 851497920
- Sum of proper divisors (its aliquot sum) s(n): 453513795
- 397984125 is an abundant number, because the sum of its proper divisors (453513795) is greater than itself. Its abundance is 55529670
Bases of 397984125
- Binary: 101111011100011000001011111012
- Hexadecimal: 0x17B8C17D
- Base-36: 6KY6IL
Squares and roots of 397984125
- 397984125 squared (3979841252) is 158391363752015625
- 397984125 cubed (3979841253) is 63037248310402655501953125
-
The
square root of 397984125 is 19949.5394683687 -
The
cube root of 397984125 is 735.5664567497
Scales and comparisons
How big is 397984125?- 397,984,125 seconds is equal to 12 years, 34 weeks, 7 hours, 8 minutes, 45 seconds.
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To count from 1 to 397,984,125 would take you about eighteen 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 397984125 cubic inches would be around 61.3 feet tall.
Recreational maths with 397984125
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