972996864
972,996,864 is an even composite number composed of five prime numbers multiplied together.
972996864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 972996864:
28 × 3 × 7 × 29 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 79 × 79)See below for interesting mathematical facts about the number 972996864 from the Numbermatics database.
Names of 972996864
- Cardinal: 972996864 can be written as Nine hundred seventy-two million, nine hundred ninety-six thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 9.72996864 × 108
Factors of 972996864
Divisors of 972996864
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 79 84 87 96 112 116 128 158 168 174 192 203 224 232 237 256 316 336 348 384 406 448 464 474 553 609 632 672 696 768 812 896 928 948 1106 1218 1264 1344 1392 1624 1659 1792 1856 1896 2212 2291 2436 2528 2688 2784 3248 3318 3712 3792 4424 4582 4872 5056 5376 5568 6241 6496 6636 6873 7424 7584 8848 9164 9744 10112 11136 12482 12992 13272 13746 15168 16037 17696 18328 18723 19488 20224 22272 24964 25984 26544 27492 30336 32074 35392 36656 37446 38976 43687 48111 49928 51968 53088 54984 60672 64148 70784 73312 74892 77952 87374 96222 99856 106176 109968 128296 131061 141568 146624 149784 155904 174748 180989 192444 199712 212352 219936 256592 262122 293248 299568 349496 361978 384888 399424 424704 439872 513184 524244 542967 586496 599136 698992 723956 769776 798848 879744 1026368 1048488 1085934 1198272 1266923 1397984 1447912 1539552 1597696 1759488 2052736 2096976 2171868 2396544 2533846 2795968 2895824 3079104 3800769 4105472 4193952 4343736 4793088 5067692 5591936 5791648 6158208 7601538 8387904 8687472 10135384 11183872 11583296 12316416 15203076 16775808 17374944 20270768 23166592 30406152 33551616 34749888 40541536 46333184 60812304 69499776 81083072 121624608 138999552 162166144 243249216 324332288 486498432 972996864
- Sum of all divisors σ(n): 3100829760
- Sum of proper divisors (its aliquot sum) s(n): 2127832896
- 972996864 is an abundant number, because the sum of its proper divisors (2127832896) is greater than itself. Its abundance is 1154836032
Bases of 972996864
- Binary: 1110011111111011000001000000002
- Hexadecimal: 0x39FEC100
- Base-36: G3AP6O
Squares and roots of 972996864
- 972996864 squared (9729968642) is 946722897353834496
- 972996864 cubed (9729968643) is 921158410202274862983020544
-
The
square root of 972996864 is 31192.8976531517 -
The
cube root of 972996864 is 990.9166981035
Scales and comparisons
How big is 972996864?- 972,996,864 seconds is equal to 30 years, 48 weeks, 5 days, 12 hours, 54 minutes, 24 seconds.
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To count from 1 to 972,996,864 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 972996864 cubic inches would be around 82.6 feet tall.
Recreational maths with 972996864
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