968442968064
968,442,968,064 is an even composite number composed of six prime numbers multiplied together.
968442968064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 968442968064:
211 × 3 × 11 × 13 × 313 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 31 × 31 × 31 × 37)See below for interesting mathematical facts about the number 968442968064 from the Numbermatics database.
Names of 968442968064
- Cardinal: 968442968064 can be written as Nine hundred sixty-eight billion, four hundred forty-two million, nine hundred sixty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 9.68442968064 × 1011
Factors of 968442968064
Divisors of 968442968064
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 37 39 44 48 52 62 64 66 74 78 88 93 96 104 111 124 128 132 143 148 156 176 186 192 208 222 248 256 264 286 296 312 341 352 372 384 403 407 416 429 444 481 496 512 528 572 592 624 682 704 744 768 806 814 832 858 888 961 962 992 1023 1024 1056 1144 1147 1184 1209 1221 1248 1364 1408 1443 1488 1536 1612 1628 1664 1716 1776 1922 1924 1984 2046 2048 2112 2288 2294 2368 2418 2442 2496 2728 2816 2883 2886 2976 3072 3224 3256 3328 3432 3441 3552 3844 3848 3968 4092 4224 4433 4576 4588 4736 4836 4884 4992 5291 5456 5632 5766 5772 5952 6144 6448 6512 6656 6864 6882 7104 7688 7696 7936 8184 8448 8866 9152 9176 9472 9672 9768 9984 10571 10582 10912 11264 11532 11544 11904 12493 12617 12896 13024 13299 13312 13728 13764 14208 14911 15376 15392 15872 15873 16368 16896 17732 18304 18352 18944 19344 19536 19968 21142 21164 21824 22528 23064 23088 23808 24986 25234 25792 26048 26598 26624 27456 27528 28416 29791 29822 30752 30784 31713 31744 31746 32736 33792 35464 35557 36608 36704 37479 37851 37888 38688 39072 39936 42284 42328 43648 44733 46128 46176 47616 49972 50468 51584 52096 53196 54912 55056 56832 59582 59644 61504 61568 63426 63488 63492 65472 67584 70928 71114 73216 73408 74958 75702 75776 77376 78144 79872 84568 84656 87296 89373 89466 92256 92352 95232 99944 100936 103168 104192 106392 106671 109824 110112 113664 119164 119288 123008 123136 126852 126984 130944 137423 141856 142228 146432 146816 149916 151404 154752 156288 164021 169136 169312 174592 178746 178932 184512 184704 190464 199888 201872 206336 208384 212784 213342 219648 220224 227328 238328 238576 246016 246272 253704 253968 261888 274846 283712 284456 292864 293632 299832 302808 309504 312576 327701 328042 338272 338624 349184 357492 357864 369024 369408 387283 391127 399776 403744 412269 412672 416768 425568 426684 439296 440448 462241 476656 477152 492032 492063 492544 507408 507936 523776 549692 567424 568912 587264 599664 605616 619008 625152 655402 656084 676544 677248 698368 714984 715728 738048 738816 774566 782254 799552 807488 824538 825344 833536 851136 853368 878592 880896 924482 953312 954304 983103 984064 984126 985088 1014816 1015872 1047552 1099384 1102267 1134848 1137824 1161849 1173381 1174528 1199328 1211232 1238016 1250304 1310804 1312168 1353088 1354496 1386723 1429968 1431456 1476096 1477632 1549132 1564508 1599104 1614976 1649076 1702272 1706736 1761792 1848964 1906624 1908608 1966206 1968128 1968252 2029632 2031744 2095104 2198768 2204534 2269696 2275648 2323698 2346762 2349056 2398656 2422464 2476032 2500608 2621608 2624336 2706176 2708992 2773446 2859936 2862912 2952192 2955264 3098264 3129016 3198208 3229952 3298152 3306801 3404544 3413472 3523584 3697928 3813248 3817216 3932412 3936504 4059264 4063488 4260113 4397536 4409068 4539392 4551296 4647396 4693524 4797312 4844928 5084651 5243216 5248672 5412352 5417984 5546892 5719872 5725824 5904384 6196528 6258032 6396416 6459904 6596304 6613602 6809088 6826944 7047168 7395856 7626496 7634432 7864824 7873008 8118528 8126976 8520226 8795072 8818136 9078784 9102592 9294792 9387048 9594624 9689856 10169302 10486432 10497344 10824704 10835968 11093784 11439744 11451648 12124937 12393056 12516064 12780339 12792832 12919808 13192608 13227204 13618176 13653888 14329471 14791712 15252992 15253953 15268864 15729648 15746016 16237056 16253952 17040452 17590144 17636272 18205184 18589584 18774096 19189248 19379712 20338604 20972864 20994688 21649408 22187568 22879488 22903296 24249874 24786112 25032128 25560678 25585664 25839616 26385216 26454408 27236352 27307776 28658942 29583424 30505984 30507906 30537728 31459296 31492032 32474112 32507904 34080904 35180288 35272544 36374811 36410368 37179168 37548192 38378496 38759424 40677208 41945728 41989376 42988413 44375136 45758976 45806592 48499748 49572224 50064256 51121356 52770432 52908816 54615552 57317884 59166848 61011968 61015812 62918592 62984064 64948224 68161808 70360576 70545088 72749622 72820736 74358336 75096384 76756992 77518848 81354416 83891456 83978752 85976826 88750272 91517952 91613184 96999496 99144448 100128512 102242712 105540864 105817632 109231104 114635768 118333696 122031624 125837184 125968128 136323616 140721152 141090176 145499244 148716672 150192768 157624181 162708832 167782912 167957504 171953652 177500544 183035904 193998992 198288896 200257024 204485424 211081728 211635264 218462208 229271536 236667392 244063248 251674368 251936256 272647232 281442304 282180352 290998488 297433344 300385536 315248362 325417664 335565824 335915008 343907304 355001088 387997984 396577792 400514048 408970848 422163456 423270528 458543072 472872543 473334784 488126496 503348736 503872512 545294464 564360704 581996976 594866688 600771072 630496724 650835328 671131648 687814608 710002176 775995968 793155584 801028096 817941696 844326912 846541056 917086144 945745086 946669568 976252992 1006697472 1007745024 1090588928 1128721408 1163993952 1189733376 1201542144 1260993448 1301670656 1375629216 1420004352 1551991936 1635883392 1693082112 1834172288 1891490172 1952505984 2013394944 2181177856 2257442816 2327987904 2379466752 2403084288 2521986896 2603341312 2751258432 2840008704 3103983872 3271766784 3386164224 3668344576 3782980344 3905011968 4362355712 4655975808 5043973792 5206682624 5502516864 6207967744 6543533568 6772328448 7336689152 7565960688 7810023936 8724711424 9311951616 10087947584 10413365248 11005033728 12415935488 13087067136 14673378304 15131921376 15620047872 18623903232 20175895168 22010067456 24831870976 26174134272 29346756608 30263842752 31240095744 37247806464 40351790336 44020134912 60527685504 74495612928 80703580672 88040269824 121055371008 161407161344 242110742016 322814322688 484221484032 968442968064
- Sum of all divisors σ(n): 3219080417280
- Sum of proper divisors (its aliquot sum) s(n): 2250637449216
- 968442968064 is an abundant number, because the sum of its proper divisors (2250637449216) is greater than itself. Its abundance is 1282194481152
Bases of 968442968064
- Binary: 11100001011110111011001011111000000000002
- Hexadecimal: 0xE17BB2F800
- Base-36: CCW9XSLC
Squares and roots of 968442968064
- 968442968064 squared (9684429680642) is 937881782392609723908096
- 968442968064 cubed (9684429680643) is 908285017033453536360344071799046144
-
The
square root of 968442968064 is 984094.9995117339 -
The
cube root of 968442968064 is 9893.6835811677
Scales and comparisons
How big is 968442968064?- 968,442,968,064 seconds is equal to 30,793 years, 25 weeks, 3 days, 15 hours, 34 minutes, 24 seconds.
-
To count from 1 to 968,442,968,064 would take you about sixty-one thousand, five hundred eighty-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 968442968064 cubic inches would be around 824.5 feet tall.
Recreational maths with 968442968064
- 968442968064 backwards is 460869244869
- 968442968064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 968442968064's digits is 66
- More coming soon!
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The information we have on file for 968442968064 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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