968248320
968,248,320 is an even composite number composed of five prime numbers multiplied together.
968248320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 968248320:
210 × 3 × 5 × 132 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 373)See below for interesting mathematical facts about the number 968248320 from the Numbermatics database.
Names of 968248320
- Cardinal: 968248320 can be written as Nine hundred sixty-eight million, two hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.6824832 × 108
Factors of 968248320
Divisors of 968248320
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 312 320 338 373 384 390 416 480 507 512 520 624 640 676 746 768 780 832 845 960 1014 1024 1040 1119 1248 1280 1352 1492 1536 1560 1664 1690 1865 1920 2028 2080 2238 2496 2535 2560 2704 2984 3072 3120 3328 3380 3730 3840 4056 4160 4476 4849 4992 5070 5120 5408 5595 5968 6240 6656 6760 7460 7680 8112 8320 8952 9698 9984 10140 10816 11190 11936 12480 13312 13520 14547 14920 15360 16224 16640 17904 19396 19968 20280 21632 22380 23872 24245 24960 27040 29094 29840 32448 33280 35808 38792 39936 40560 43264 44760 47744 48490 49920 54080 58188 59680 63037 64896 66560 71616 72735 77584 81120 86528 89520 95488 96980 99840 108160 116376 119360 126074 129792 143232 145470 155168 162240 173056 179040 189111 190976 193960 199680 216320 232752 238720 252148 259584 286464 290940 310336 315185 324480 358080 378222 381952 387920 432640 465504 477440 504296 519168 572928 581880 620672 630370 648960 716160 756444 775840 865280 931008 945555 954880 1008592 1145856 1163760 1241344 1260740 1297920 1432320 1512888 1551680 1862016 1891110 1909760 2017184 2327520 2482688 2521480 2595840 2864640 3025776 3103360 3724032 3782220 4034368 4655040 4965376 5042960 5729280 6051552 6206720 7448064 7564440 8068736 9310080 10085920 12103104 12413440 14896128 15128880 16137472 18620160 20171840 24206208 24826880 30257760 32274944 37240320 40343680 48412416 60515520 64549888 74480640 80687360 96824832 121031040 161374720 193649664 242062080 322749440 484124160 968248320
- Sum of all divisors σ(n): 3362418576
- Sum of proper divisors (its aliquot sum) s(n): 2394170256
- 968248320 is an abundant number, because the sum of its proper divisors (2394170256) is greater than itself. Its abundance is 1425921936
Bases of 968248320
- Binary: 1110011011011001001100000000002
- Hexadecimal: 0x39B64C00
- Base-36: G0GX6O
Squares and roots of 968248320
- 968248320 squared (9682483202) is 937504809182822400
- 968248320 cubed (9682483203) is 907737456483188361658368000
-
The
square root of 968248320 is 31116.6887698549 -
The
cube root of 968248320 is 989.3020690509
Scales and comparisons
How big is 968248320?- 968,248,320 seconds is equal to 30 years, 40 weeks, 6 days, 13 hours, 52 minutes.
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To count from 1 to 968,248,320 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 968248320 cubic inches would be around 82.4 feet tall.
Recreational maths with 968248320
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