968764992
968,764,992 is an even composite number composed of five prime numbers multiplied together.
968764992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 968764992:
26 × 3 × 13 × 173 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 17 × 17 × 79)See below for interesting mathematical facts about the number 968764992 from the Numbermatics database.
Names of 968764992
- Cardinal: 968764992 can be written as Nine hundred sixty-eight million, seven hundred sixty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.68764992 × 108
Factors of 968764992
Divisors of 968764992
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 79 96 102 104 136 156 158 192 204 208 221 237 272 289 312 316 408 416 442 474 544 578 624 632 663 816 832 867 884 948 1027 1088 1156 1248 1264 1326 1343 1632 1734 1768 1896 2054 2312 2496 2528 2652 2686 3081 3264 3468 3536 3757 3792 4029 4108 4624 4913 5056 5304 5372 6162 6936 7072 7514 7584 8058 8216 9248 9826 10608 10744 11271 12324 13872 14144 14739 15028 15168 16116 16432 17459 18496 19652 21216 21488 22542 22831 24648 27744 29478 30056 32232 32864 34918 39304 42432 42976 45084 45662 49296 52377 55488 58956 60112 63869 64464 65728 68493 69836 78608 85952 90168 91324 98592 104754 117912 120224 127738 128928 136986 139672 157216 180336 182648 191607 197184 209508 235824 240448 255476 257856 273972 279344 296803 314432 360672 365296 383214 388127 419016 471648 510952 547944 558688 593606 721344 730592 766428 776254 838032 890409 943296 1021904 1095888 1117376 1164381 1187212 1461184 1532856 1552508 1676064 1780818 2043808 2191776 2328762 2374424 3065712 3105016 3352128 3561636 4087616 4383552 4657524 4748848 5045651 6131424 6210032 7123272 9315048 9497696 10091302 12262848 12420064 14246544 15136953 18630096 18995392 20182604 24840128 28493088 30273906 37260192 40365208 56986176 60547812 74520384 80730416 121095624 161460832 242191248 322921664 484382496 968764992
- Sum of all divisors σ(n): 2969971200
- Sum of proper divisors (its aliquot sum) s(n): 2001206208
- 968764992 is an abundant number, because the sum of its proper divisors (2001206208) is greater than itself. Its abundance is 1032441216
Bases of 968764992
- Binary: 1110011011111000101110010000002
- Hexadecimal: 0x39BE2E40
- Base-36: G0RZUO
Squares and roots of 968764992
- 968764992 squared (9687649922) is 938505609724760064
- 968764992 cubed (9687649923) is 909191379496962305602879488
-
The
square root of 968764992 is 31124.9898313237 -
The
cube root of 968764992 is 989.4780066269
Scales and comparisons
How big is 968764992?- 968,764,992 seconds is equal to 30 years, 41 weeks, 5 days, 13 hours, 23 minutes, 12 seconds.
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To count from 1 to 968,764,992 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 968764992 cubic inches would be around 82.5 feet tall.
Recreational maths with 968764992
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