970324992
970,324,992 is an even composite number composed of five prime numbers multiplied together.
970324992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 970324992:
210 × 32 × 7 × 132 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 89)See below for interesting mathematical facts about the number 970324992 from the Numbermatics database.
Names of 970324992
- Cardinal: 970324992 can be written as Nine hundred seventy million, three hundred twenty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.70324992 × 108
Factors of 970324992
Divisors of 970324992
- Number of divisors d(n): 396
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 89 91 96 104 112 117 126 128 144 156 168 169 178 182 192 208 224 234 252 256 267 273 288 312 336 338 356 364 384 416 448 468 504 507 512 534 546 576 623 624 672 676 712 728 768 801 819 832 896 936 1008 1014 1024 1068 1092 1152 1157 1183 1246 1248 1344 1352 1424 1456 1521 1536 1602 1638 1664 1792 1869 1872 2016 2028 2136 2184 2304 2314 2366 2492 2496 2688 2704 2848 2912 3042 3072 3204 3276 3328 3471 3549 3584 3738 3744 4032 4056 4272 4368 4608 4628 4732 4984 4992 5376 5408 5607 5696 5824 6084 6408 6552 6656 6942 7098 7168 7476 7488 8064 8099 8112 8544 8736 9216 9256 9464 9968 9984 10413 10647 10752 10816 11214 11392 11648 12168 12816 13104 13312 13884 14196 14952 14976 15041 16128 16198 16224 17088 17472 18512 18928 19936 19968 20826 21294 21504 21632 22428 22784 23296 24297 24336 25632 26208 27768 28392 29904 29952 30082 32256 32396 32448 34176 34944 37024 37856 39872 39936 41652 42588 43264 44856 45123 45568 46592 48594 48672 51264 52416 55536 56784 59808 59904 60164 64512 64792 64896 68352 69888 72891 74048 75712 79744 83304 85176 86528 89712 90246 91136 93184 97188 97344 102528 104832 105287 111072 113568 119616 119808 120328 129584 129792 135369 136704 139776 145782 148096 151424 159488 166608 170352 173056 179424 180492 194376 194688 205056 209664 210574 222144 227136 239232 240656 259168 259584 270738 273408 279552 291564 296192 302848 315861 318976 333216 340704 358848 360984 388752 389376 410112 419328 421148 444288 454272 478464 481312 518336 519168 541476 583128 592384 605696 631722 637952 666432 681408 717696 721968 777504 778752 820224 838656 842296 888576 908544 947583 956928 962624 1036672 1082952 1166256 1184768 1211392 1263444 1332864 1362816 1435392 1443936 1555008 1557504 1684592 1777152 1817088 1895166 1913856 1925248 2073344 2165904 2332512 2526888 2665728 2725632 2870784 2887872 3110016 3369184 3554304 3634176 3790332 3850496 4146688 4331808 4665024 5053776 5331456 5451264 5741568 5775744 6220032 6738368 7580664 7700992 8293376 8663616 9330048 10107552 10662912 10902528 11551488 12440064 13476736 15161328 15401984 17327232 18660096 20215104 23102976 24880128 26953472 30322656 34654464 37320192 40430208 46205952 53906944 60645312 69308928 74640384 80860416 107813888 121290624 138617856 161720832 242581248 323441664 485162496 970324992
- Sum of all divisors σ(n): 3506265360
- Sum of proper divisors (its aliquot sum) s(n): 2535940368
- 970324992 is an abundant number, because the sum of its proper divisors (2535940368) is greater than itself. Its abundance is 1565615376
Bases of 970324992
- Binary: 1110011101010111111100000000002
- Hexadecimal: 0x39D5FC00
- Base-36: G1PFK0
Squares and roots of 970324992
- 970324992 squared (9703249922) is 941530590099800064
- 970324992 cubed (9703249923) is 913590662306343776302399488
-
The
square root of 970324992 is 31150.0399999743 -
The
cube root of 970324992 is 990.0088398353
Scales and comparisons
How big is 970324992?- 970,324,992 seconds is equal to 30 years, 44 weeks, 2 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 970,324,992 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 970324992 cubic inches would be around 82.5 feet tall.
Recreational maths with 970324992
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