968108064
968,108,064 is an even composite number composed of seven prime numbers multiplied together.
968108064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 968108064:
25 × 3 × 7 × 11 × 19 × 61 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 19 × 61 × 113)See below for interesting mathematical facts about the number 968108064 from the Numbermatics database.
Names of 968108064
- Cardinal: 968108064 can be written as Nine hundred sixty-eight million, one hundred eight thousand and sixty-four.
Scientific notation
- Scientific notation: 9.68108064 × 108
Factors of 968108064
Divisors of 968108064
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 56 57 61 66 76 77 84 88 96 112 113 114 122 132 133 152 154 168 176 183 209 224 226 228 231 244 264 266 304 308 336 339 352 366 399 418 427 452 456 462 488 528 532 608 616 627 671 672 678 732 791 798 836 854 904 912 924 976 1056 1064 1159 1232 1243 1254 1281 1342 1356 1463 1464 1582 1596 1672 1708 1808 1824 1848 1952 2013 2128 2147 2318 2373 2464 2486 2508 2562 2684 2712 2926 2928 3164 3192 3344 3416 3477 3616 3696 3729 4026 4256 4294 4389 4636 4697 4746 4972 5016 5124 5368 5424 5852 5856 6328 6384 6441 6688 6832 6893 6954 7392 7458 8052 8113 8588 8701 8778 9272 9394 9492 9944 10032 10248 10736 10848 11704 12656 12749 12768 12882 13664 13786 13908 14091 14916 15029 16104 16226 17176 17402 17556 18544 18788 18984 19888 20064 20496 20679 21472 23408 23617 24339 25312 25498 25764 26103 27572 27816 28182 29832 30058 32208 32452 34352 34804 35112 37088 37576 37968 38247 39776 40992 41358 45087 46816 47234 48251 48678 50996 51528 52206 55144 55632 56364 59664 60116 64416 64904 68704 69608 70224 70851 75152 75823 75936 76494 82716 89243 90174 94468 96502 97356 101992 103056 104412 110288 111264 112728 119328 120232 129808 130967 139216 140448 141702 144753 150304 151646 152988 165319 165432 178486 180348 188936 193004 194712 203984 206112 208824 220576 225456 227469 240464 259616 261934 267729 278432 283404 289506 303292 305976 330638 330864 356972 360696 377872 386008 389424 392901 407968 417648 450912 454938 480928 495957 523868 530761 535458 566808 579012 606584 611952 661276 661728 713944 721392 755744 772016 778848 785802 835296 909876 916769 991914 1047736 1061522 1070916 1133616 1158024 1213168 1223904 1322552 1427888 1440637 1442784 1544032 1571604 1592283 1819752 1833538 1983828 2095472 2123044 2141832 2267232 2316048 2426336 2645104 2750307 2855776 2881274 3143208 3184566 3639504 3667076 3967656 4190944 4246088 4283664 4321911 4632096 5290208 5500614 5762548 6286416 6369132 7279008 7334152 7935312 8492176 8567328 8643822 10084459 11001228 11525096 12572832 12738264 14668304 15870624 16984352 17287644 20168918 22002456 23050192 25476528 29336608 30253377 34575288 40337836 44004912 46100384 50953056 60506754 69150576 80675672 88009824 121013508 138301152 161351344 242027016 322702688 484054032 968108064
- Sum of all divisors σ(n): 3419781120
- Sum of proper divisors (its aliquot sum) s(n): 2451673056
- 968108064 is an abundant number, because the sum of its proper divisors (2451673056) is greater than itself. Its abundance is 1483564992
Bases of 968108064
- Binary: 1110011011010000101000001000002
- Hexadecimal: 0x39B42820
- Base-36: G0DWYO
Squares and roots of 968108064
- 968108064 squared (9681080642) is 937233223581828096
- 968108064 cubed (9681080643) is 907343041598282743599366144
-
The
square root of 968108064 is 31114.4349779971 -
The
cube root of 968108064 is 989.2542981611
Scales and comparisons
How big is 968108064?- 968,108,064 seconds is equal to 30 years, 40 weeks, 4 days, 22 hours, 54 minutes, 24 seconds.
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To count from 1 to 968,108,064 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 968108064 cubic inches would be around 82.4 feet tall.
Recreational maths with 968108064
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