968330014110144

Names of 968330014110144

• Cardinal: 968330014110144 can be written as Nine hundred sixty-eight trillion, three hundred thirty billion, fourteen million, one hundred ten thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 9.68330014110144 × 10¹⁴

Factors of 968330014110144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 763

Divisors of 968330014110144

• Number of divisors d(n): 588
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 378 392 432 441 448 486 504 567 576 588 648 672 729 751 756 784 864 882 972 1008 1134 1176 1296 1323 1344 1458 1502 1512 1568 1701 1728 1764 1944 2016 2253 2268 2352 2592 2646 2916 3004 3024 3136 3402 3528 3888 3969 4032 4506 4536 4704 5103 5184 5257 5292 5832 6008 6048 6759 6804 7056 7776 7938 9012 9072 9408 10206 10514 10584 11664 11907 12016 12096 13518 13608 14112 15552 15771 15876 18024 18144 20277 20412 21028 21168 23328 23814 24032 27036 27216 28224 31542 31752 35721 36048 36288 36799 40554 40824 42056 42336 46656 47313 47628 48064 54072 54432 60831 63084 63504 71442 72096 73598 81108 81648 84112 84672 94626 95256 108144 108864 110397 121662 126168 127008 141939 142884 144192 147196 162216 163296 168224 182493 189252 190512 216288 220794 243324 252336 254016 283878 285768 294392 324432 326592 331191 336448 364986 378504 381024 425817 432576 441588 486648 504672 547479 564001 567756 571536 588784 648864 662382 729972 757008 762048 851634 883176 973296 993573 1009344 1094958 1128002 1135512 1143072 1177568 1277451 1297728 1324764 1459944 1514016 1692003 1703268 1766352 1946592 1987146 2189916 2256004 2271024 2286144 2355136 2554902 2649528 2919888 2980719 3028032 3384006 3406536 3532704 3832353 3893184 3948007 3974292 4379832 4512008 4542048 5076009 5109804 5299056 5839776 5961438 6768012 6813072 7065408 7664706 7896014 7948584 8759664 8942157 9024016 9084096 10152018 10219608 10598112 11679552 11844021 11922876 13536024 13626144 15228027 15329412 15792028 15897168 17519328 17884314 18048032 20304036 20439216 21196224 23688042 23845752 26826471 27072048 27252288 27636049 30456054 30658824 31584056 31794336 35038656 35532063 35768628 36096064 40608072 40878432 45684081 47376084 47691504 53652942 54144096 55272098 60912108 61317648 63168112 63588672 71064126 71537256 81216144 81756864 82908147 91368162 94752168 95383008 106596189 107305884 108288192 110544196 121824216 122635296 126336224 137052243 142128252 143074512 162432288 165816294 182736324 189504336 190766016 213192378 214611768 221088392 243648432 245270592 248724441 252672448 274104486 284256504 286149024 319788567 324864576 331632588 365472648 379008672 411156729 423564751 426384756 429223536 442176784 487296864 497448882 548208972 568513008 572298048 639577134 663265176 730945296 746173323 758017344 822313458 847129502 852769512 858447072 884353568 959365701 974593728 994897764 1096417944 1137026016 1270694253 1279154268 1326530352 1461890592 1492346646 1644626916 1694259004 1705539024 1716894144 1768707136 1918731402 1989795528 2192835888 2238519969 2274052032 2541388506 2558308536 2653060704 2878097103 2923781184 2964953257 2984693292 3289253832 3388518008 3411078048 3812082759 3837462804 3979591056 4385671776 4477039938 5082777012 5116617072 5306121408 5756194206 5929906514 5969386584 6578507664 6715559907 6777036016 6822156096 7624165518 7674925608 7959182112 8771343552 8894859771 8954079876 10165554024 10233234144 11436248277 11512388412 11859813028 11938773168 13157015328 13431119814 13554072032 15248331036 15349851216 15918364224 17789719542 17908159752 20146679721 20331108048 20466468288 20754672799 22872496554 23024776824 23719626056 23877546336 26314030656 26684579313 26862239628 27108144064 30496662072 30699702432 34308744831 35579439084 35816319504 40293359442 40662216096 41509345598 45744993108 46049553648 47439252112 47755092672 53369158626 53724479256 60993324144 61399404864 62264018397 68617489662 71158878168 71632639008 80053737939 80586718884 81324432192 83018691196 91489986216 92099107296 94878504224 102926234493 106738317252 107448958512 121986648288 124528036794 137234979324 142317756336 143265278016 160107475878 161173437768 166037382392 182979972432 184198214592 186792055191 189757008448 205852468986 213476634504 214897917024 240161213817 243973296576 249056073588 274469958648 284635512672 308778703479 320214951756 322346875536 332074764784 365959944864 373584110382 411704937972 426953269008 429795834048 480322427634 498112147176 548939917296 560376165573 569271025344 617557406958 640429903512 644693751072 664149529568 720483641451 731919889728 747168220764 823409875944 853906538016 960644855268 996224294352 1097879834592 1120752331146 1235114813916 1280859807024 1289387502144 1328299059136 1440967282902 1494336441528 1646819751888 1681128496719 1707813076032 1921289710536 1992448588704 2161450924353 2195759669184 2241504662292 2470229627832 2561719614048 2881934565804 2988672883056 3293639503776 3362256993438 3842579421072 3984897177408 4322901848706 4483009324584 4940459255664 5043385490157 5123439228096 5763869131608 5977345766112 6587279007552 6724513986876 7685158842144 8645803697412 8966018649168 9880918511328 10086770980314 11527738263216 11954691532224 13449027973752 15130156470471 15370317684288 17291607394824 17932037298336 19761837022656 20173541960628 23055476526432 26898055947504 30260312940942 34583214789648 35864074596672 40347083921256 46110953052864 53796111895008 60520625881884 69166429579296 80694167842512 107592223790016 121041251763768 138332859158592 161388335685024 242082503527536 322776671370048 484165007055072 968330014110144
• Sum of all divisors σ(n): 3355808913045408
• Sum of proper divisors (its aliquot sum) s(n): 2387478898935264
• 968330014110144 is an abundant number, because the sum of its proper divisors (2387478898935264) is greater than itself. Its abundance is 1419148884825120

Bases of 968330014110144

• Binary: 11011100001011000011100110100001000011000111000000₂
• Hexadecimal: 0x370B0E68431C0
• Base-36: 9J8SO0V000

Squares and roots of 968330014110144

• 968330014110144 squared (968330014110144²) is 937663016226551678136163700736
• 968330014110144 cubed (968330014110144³) is 907967241733216968920572198276612304957865984
• The square root of 968330014110144 is 31118001.4478781075
• The cube root of 968330014110144 is 98932.9891761811

Scales and comparisons

• 968,330,014,110,144 seconds is equal to 30,789,899 years, 10 weeks, 5 days, 11 hours, 2 minutes, 24 seconds.
• To count from 1 to 968,330,014,110,144 would take you about seventy-six million, nine hundred seventy-four thousand, seven hundred forty-eight 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 968330014110144 cubic inches would be around 8244.4 feet tall.

Recreational maths with 968330014110144

• 968330014110144 backwards is 441011410033869
• The number of decimal digits it has is: 15
• The sum of 968330014110144's digits is 45
• More coming soon!