968625216
968,625,216 is an even composite number composed of four prime numbers multiplied together.
968625216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-six divisors.
Prime factorization of 968625216:
26 × 36 × 13 × 1597
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 1597)See below for interesting mathematical facts about the number 968625216 from the Numbermatics database.
Names of 968625216
- Cardinal: 968625216 can be written as Nine hundred sixty-eight million, six hundred twenty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 9.68625216 × 108
Factors of 968625216
Divisors of 968625216
- Number of divisors d(n): 196
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 243 288 312 324 351 416 432 468 486 576 624 648 702 729 832 864 936 972 1053 1248 1296 1404 1458 1597 1728 1872 1944 2106 2496 2592 2808 2916 3159 3194 3744 3888 4212 4791 5184 5616 5832 6318 6388 7488 7776 8424 9477 9582 11232 11664 12636 12776 14373 15552 16848 18954 19164 20761 22464 23328 25272 25552 28746 33696 37908 38328 41522 43119 46656 50544 51104 57492 62283 67392 75816 76656 83044 86238 101088 102208 114984 124566 129357 151632 153312 166088 172476 186849 202176 229968 249132 258714 303264 306624 332176 344952 373698 388071 459936 498264 517428 560547 606528 664352 689904 747396 776142 919872 996528 1034856 1121094 1164213 1328704 1379808 1494792 1552284 1681641 1993056 2069712 2242188 2328426 2759616 2989584 3104568 3363282 3986112 4139424 4484376 4656852 5044923 5979168 6209136 6726564 8278848 8968752 9313704 10089846 11958336 12418272 13453128 15134769 17937504 18627408 20179692 24836544 26906256 30269538 35875008 37254816 40359384 53812512 60539076 74509632 80718768 107625024 121078152 161437536 242156304 322875072 484312608 968625216
- Sum of all divisors σ(n): 3105479692
- Sum of proper divisors (its aliquot sum) s(n): 2136854476
- 968625216 is an abundant number, because the sum of its proper divisors (2136854476) is greater than itself. Its abundance is 1168229260
Bases of 968625216
- Binary: 1110011011110000001100010000002
- Hexadecimal: 0x39BC0C40
- Base-36: G0P000
Squares and roots of 968625216
- 968625216 squared (9686252162) is 938234809071046656
- 968625216 cubed (9686252163) is 908797894595161326514077696
-
The
square root of 968625216 is 31122.7443520009 -
The
cube root of 968625216 is 989.4304161617
Scales and comparisons
How big is 968625216?- 968,625,216 seconds is equal to 30 years, 41 weeks, 3 days, 22 hours, 33 minutes, 36 seconds.
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To count from 1 to 968,625,216 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 968625216 cubic inches would be around 82.5 feet tall.
Recreational maths with 968625216
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