968467968
968,467,968 is an even composite number composed of five prime numbers multiplied together.
968467968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 968467968:
29 × 33 × 13 × 17 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 317)See below for interesting mathematical facts about the number 968467968 from the Numbermatics database.
Names of 968467968
- Cardinal: 968467968 can be written as Nine hundred sixty-eight million, four hundred sixty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.68467968 × 108
Factors of 968467968
Divisors of 968467968
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 96 102 104 108 117 128 136 144 153 156 192 204 208 216 221 234 256 272 288 306 312 317 351 384 408 416 432 442 459 468 512 544 576 612 624 634 663 702 768 816 832 864 884 918 936 951 1088 1152 1224 1248 1268 1326 1404 1536 1632 1664 1728 1768 1836 1872 1902 1989 2176 2304 2448 2496 2536 2652 2808 2853 3264 3328 3456 3536 3672 3744 3804 3978 4121 4352 4608 4896 4992 5072 5304 5389 5616 5706 5967 6528 6656 6912 7072 7344 7488 7608 7956 8242 8559 8704 9792 9984 10144 10608 10778 11232 11412 11934 12363 13056 13824 14144 14688 14976 15216 15912 16167 16484 17118 19584 19968 20288 21216 21556 22464 22824 23868 24726 26112 28288 29376 29952 30432 31824 32334 32968 34236 37089 39168 40576 42432 43112 44928 45648 47736 48501 49452 56576 58752 59904 60864 63648 64668 65936 68472 70057 74178 78336 81152 84864 86224 89856 91296 95472 97002 98904 111267 113152 117504 121728 127296 129336 131872 136944 140114 145503 148356 162304 169728 172448 179712 182592 190944 194004 197808 210171 222534 235008 243456 254592 258672 263744 273888 280228 291006 296712 339456 344896 365184 381888 388008 395616 420342 445068 486912 509184 517344 527488 547776 560456 582012 593424 630513 689792 730368 763776 776016 791232 840684 890136 1018368 1034688 1054976 1095552 1120912 1164024 1186848 1261026 1379584 1460736 1527552 1552032 1582464 1681368 1780272 1891539 2069376 2109952 2191104 2241824 2328048 2373696 2522052 2759168 3055104 3104064 3164928 3362736 3560544 3783078 4138752 4382208 4483648 4656096 4747392 5044104 6208128 6329856 6725472 7121088 7566156 8277504 8967296 9312192 9494784 10088208 12416256 13450944 14242176 15132312 17934592 18624384 18989568 20176416 24832512 26901888 28484352 30264624 35869184 37248768 40352832 53803776 56968704 60529248 74497536 80705664 107607552 121058496 161411328 242116992 322822656 484233984 968467968
- Sum of all divisors σ(n): 3279165120
- Sum of proper divisors (its aliquot sum) s(n): 2310697152
- 968467968 is an abundant number, because the sum of its proper divisors (2310697152) is greater than itself. Its abundance is 1342229184
Bases of 968467968
- Binary: 1110011011100110100110000000002
- Hexadecimal: 0x39B9A600
- Base-36: G0LMO0
Squares and roots of 968467968
- 968467968 squared (9684679682) is 937930205042049024
- 968467968 cubed (9684679683) is 908355359802896572829663232
-
The
square root of 968467968 is 31120.2179940951 -
The
cube root of 968467968 is 989.3768714155
Scales and comparisons
How big is 968467968?- 968,467,968 seconds is equal to 30 years, 41 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 968,467,968 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 968467968 cubic inches would be around 82.4 feet tall.
Recreational maths with 968467968
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