972089937
972,089,937 is an odd composite number composed of five prime numbers multiplied together.
972089937 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 972089937:
33 × 7 × 13 × 172 × 372
(3 × 3 × 3 × 7 × 13 × 17 × 17 × 37 × 37)See below for interesting mathematical facts about the number 972089937 from the Numbermatics database.
Names of 972089937
- Cardinal: 972089937 can be written as Nine hundred seventy-two million, eighty-nine thousand, nine hundred thirty-seven.
Scientific notation
- Scientific notation: 9.72089937 × 108
Factors of 972089937
Divisors of 972089937
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 7 9 13 17 21 27 37 39 51 63 91 111 117 119 153 189 221 259 273 289 333 351 357 459 481 629 663 777 819 867 999 1071 1369 1443 1547 1887 1989 2023 2331 2457 2601 3213 3367 3757 4107 4329 4403 4641 5661 5967 6069 6993 7803 8177 9583 10101 10693 11271 12321 12987 13209 13923 16983 17797 18207 23273 24531 26299 28749 30303 32079 33813 36963 39627 41769 53391 54621 57239 69819 73593 74851 78897 86247 90909 96237 101439 118881 124579 139009 160173 162911 171717 209457 220779 224553 236691 258741 288711 302549 373737 395641 417027 480519 488733 515151 628371 673659 710073 907647 973063 1121211 1186923 1251081 1466199 1545453 2020977 2117843 2722941 2769487 2919189 3363633 3560769 3753243 4398597 5143333 6353529 8168823 8308461 8757567 10682307 15429999 19060587 24925383 26272701 36003331 46289997 57181761 74776149 108009993 138869991 324029979 972089937
- Sum of all divisors σ(n): 1935131520
- Sum of proper divisors (its aliquot sum) s(n): 963041583
- 972089937 is a deficient number, because the sum of its proper divisors (963041583) is less than itself. Its deficiency is 9048354
Bases of 972089937
- Binary: 1110011111000011101010010100012
- Hexadecimal: 0x39F0EA51
- Base-36: G2R9E9
Squares and roots of 972089937
- 972089937 squared (9720899372) is 944958845616663969
- 972089937 cubed (9720899373) is 918584984703095603775379953
-
The
square root of 972089937 is 31178.3568681865 -
The
cube root of 972089937 is 990.6087257253
Scales and comparisons
How big is 972089937?- 972,089,937 seconds is equal to 30 years, 47 weeks, 2 days, 58 minutes, 57 seconds.
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To count from 1 to 972,089,937 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 972089937 cubic inches would be around 82.6 feet tall.
Recreational maths with 972089937
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