968009328
968,009,328 is an even composite number composed of six prime numbers multiplied together.
968009328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 968009328:
24 × 32 × 11 × 13 × 29 × 1621
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 29 × 1621)See below for interesting mathematical facts about the number 968009328 from the Numbermatics database.
Names of 968009328
- Cardinal: 968009328 can be written as Nine hundred sixty-eight million, nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 9.68009328 × 108
Factors of 968009328
Divisors of 968009328
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 33 36 39 44 48 52 58 66 72 78 87 88 99 104 116 117 132 143 144 156 174 176 198 208 232 234 261 264 286 312 319 348 377 396 429 464 468 522 528 572 624 638 696 754 792 858 936 957 1044 1131 1144 1276 1287 1392 1508 1584 1621 1716 1872 1914 2088 2262 2288 2552 2574 2871 3016 3242 3393 3432 3828 4147 4176 4524 4863 5104 5148 5742 6032 6484 6786 6864 7656 8294 9048 9726 10296 11484 12441 12968 13572 14589 15312 16588 17831 18096 19452 20592 21073 22968 24882 25936 27144 29178 33176 35662 37323 38904 42146 45936 47009 49764 53493 54288 58356 63219 66352 71324 74646 77808 84292 94018 99528 106986 116712 126438 141027 142648 149292 160479 168584 188036 189657 199056 213972 231803 233424 252876 282054 285296 298584 320958 337168 376072 379314 423081 427944 463606 505752 517099 564108 597168 611117 641916 695409 752144 758628 846162 855888 927212 1011504 1034198 1128216 1222234 1283832 1390818 1517256 1551297 1692324 1833351 1854424 2068396 2086227 2256432 2444468 2567664 2781636 3034512 3102594 3384648 3666702 3708848 4136792 4172454 4653891 4888936 5500053 5563272 6205188 6722287 6769296 7333404 8273584 8344908 9307782 9777872 11000106 11126544 12410376 13444574 14666808 16689816 18615564 20166861 22000212 24820752 26889148 29333616 33379632 37231128 40333722 44000424 53778296 60500583 74462256 80667444 88000848 107556592 121001166 161334888 242002332 322669776 484004664 968009328
- Sum of all divisors σ(n): 3294476640
- Sum of proper divisors (its aliquot sum) s(n): 2326467312
- 968009328 is an abundant number, because the sum of its proper divisors (2326467312) is greater than itself. Its abundance is 1358457984
Bases of 968009328
- Binary: 1110011011001010100110011100002
- Hexadecimal: 0x39B2A670
- Base-36: G0BSS0
Squares and roots of 968009328
- 968009328 squared (9680093282) is 937042059095011584
- 968009328 cubed (9680093283) is 907065453932298451580055552
-
The
square root of 968009328 is 31112.8482784845 -
The
cube root of 968009328 is 989.2206661261
Scales and comparisons
How big is 968009328?- 968,009,328 seconds is equal to 30 years, 40 weeks, 3 days, 19 hours, 28 minutes, 48 seconds.
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To count from 1 to 968,009,328 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 968009328 cubic inches would be around 82.4 feet tall.
Recreational maths with 968009328
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