97940816937992000
97,940,816,937,992,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 97940816937992000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 980 divisors.
97940816937992000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred eighty divisors.
Prime factorization of 97940816937992000:
26 × 53 × 76 × 1014
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 101 × 101 × 101 × 101)See below for interesting mathematical facts about the number 97940816937992000 from the Numbermatics database.
Names of 97940816937992000
- Cardinal: 97940816937992000 can be written as Ninety-seven quadrillion, nine hundred forty trillion, eight hundred sixteen billion, nine hundred thirty-seven million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 9.7940816937992 × 1016
Factors of 97940816937992000
Divisors of 97940816937992000
- Number of divisors d(n): 980
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 101 112 125 140 160 175 196 200 202 224 245 250 280 320 343 350 392 400 404 448 490 500 505 560 686 700 707 784 800 808 875 980 1000 1010 1120 1225 1372 1400 1414 1568 1600 1616 1715 1750 1960 2000 2020 2240 2401 2450 2525 2744 2800 2828 3136 3232 3430 3500 3535 3920 4000 4040 4802 4900 4949 5050 5488 5600 5656 6125 6464 6860 7000 7070 7840 8000 8080 8575 9604 9800 9898 10100 10201 10976 11200 11312 12005 12250 12625 13720 14000 14140 15680 16160 16807 17150 17675 19208 19600 19796 20200 20402 21952 22624 24010 24500 24745 25250 27440 28000 28280 32320 33614 34300 34643 35350 38416 39200 39592 40400 40804 42875 45248 48020 49000 49490 50500 51005 54880 56000 56560 60025 67228 68600 69286 70700 71407 76832 78400 79184 80800 81608 84035 85750 88375 96040 98000 98980 101000 102010 109760 113120 117649 120050 123725 134456 137200 138572 141400 142814 153664 158368 161600 163216 168070 171500 173215 176750 192080 196000 197960 202000 204020 226240 235298 240100 242501 247450 255025 268912 274400 277144 282800 285628 300125 316736 326432 336140 343000 346430 353500 357035 384160 392000 395920 404000 408040 420175 470596 480200 485002 494900 499849 510050 537824 548800 554288 565600 571256 588245 600250 618625 652864 672280 686000 692860 707000 714070 768320 791840 808000 816080 840350 866075 941192 960400 970004 989800 999698 1020100 1030301 1075648 1108576 1131200 1142512 1176490 1200500 1212505 1237250 1275125 1344560 1372000 1385720 1414000 1428140 1583680 1632160 1680700 1697507 1732150 1785175 1882384 1920800 1940008 1979600 1999396 2040200 2060602 2100875 2217152 2285024 2352980 2401000 2425010 2474500 2499245 2550250 2689120 2744000 2771440 2828000 2856280 2941225 3264320 3361400 3395014 3464300 3498943 3570350 3764768 3841600 3880016 3959200 3998792 4080400 4121204 4201750 4330375 4570048 4705960 4802000 4850020 4949000 4998490 5100500 5151505 5378240 5542880 5656000 5712560 5882450 6062525 6722800 6790028 6928600 6997886 7140700 7212107 7529536 7760032 7918400 7997584 8160800 8242408 8403500 8487535 8660750 8925875 9411920 9604000 9700040 9898000 9996980 10201000 10303010 11085760 11425120 11764900 11882549 12125050 12496225 13445600 13580056 13857200 13995772 14281400 14424214 14706125 15520064 15995168 16321600 16484816 16807000 16975070 17321500 17494715 17851750 18823840 19208000 19400080 19796000 19993960 20402000 20606020 22850240 23529800 23765098 24250100 24492601 24992450 25757525 26891200 27160112 27714400 27991544 28562800 28848428 29412250 30312625 31990336 32969632 33614000 33950140 34643000 34989430 35703500 36060535 37647680 38800160 39592000 39987920 40804000 41212040 42437675 47059600 47530196 48500200 48985202 49984900 50484749 51515050 54320224 55428800 55983088 57125600 57696856 58824500 59412745 60625250 62481125 65939264 67228000 67900280 69286000 69978860 71407000 72121070 77600320 79975840 81608000 82424080 84875350 87473575 94119200 95060392 97000400 97970404 99969800 100969498 103030100 104060401 108640448 111966176 114251200 115393712 117649000 118825490 121250500 122463005 124962250 128787625 134456000 135800560 138572000 139957720 142814000 144242140 159951680 164848160 169750700 171448207 174947150 180302675 188238400 190120784 194000800 195940808 199939600 201938996 206060200 208120802 212188375 223932352 230787424 235298000 237650980 242501000 244926010 249924500 252423745 257575250 271601120 277144000 279915440 285628000 288484280 297063725 329696320 339501400 342896414 349894300 353393243 360605350 380241568 388001600 391881616 399879200 403877992 412120400 416241604 424376750 437367875 461574848 470596000 475301960 485002000 489852020 499849000 504847490 515150500 520302005 543202240 559830880 571256000 576968560 594127450 612315025 679002800 685792828 699788600 706786486 721210700 728422807 760483136 783763232 799758400 807755984 824240800 832483208 848753500 857241035 874735750 901513375 941192000 950603920 970004000 979704040 999698000 1009694980 1030301000 1040604010 1119661760 1153937120 1188254900 1200137449 1224630050 1262118725 1358005600 1371585656 1399577200 1413572972 1442421400 1456845614 1485318625 1567526464 1615511968 1648481600 1664966416 1697507000 1714482070 1749471500 1766966215 1803026750 1901207840 1940008000 1959408080 1999396000 2019389960 2060602000 2081208020 2307874240 2376509800 2400274898 2449260100 2473752701 2524237450 2601510025 2716011200 2743171312 2799154400 2827145944 2884842800 2913691228 2970637250 3061575125 3231023936 3329932832 3395014000 3428964140 3498943000 3533932430 3606053500 3642114035 3802415680 3918816160 3998792000 4038779920 4121204000 4162416040 4286205175 4753019600 4800549796 4898520200 4947505402 5048474900 5098959649 5203020050 5486342624 5598308800 5654291888 5769685600 5827382456 5941274500 6000687245 6123150250 6310593625 6659865664 6790028000 6857928280 6997886000 7067864860 7212107000 7284228070 7837632320 8077559840 8242408000 8324832080 8572410350 8834831075 9506039200 9601099592 9797040400 9895010804 10096949800 10197919298 10406040100 10972685248 11308583776 11539371200 11654764912 11882549000 12001374490 12246300500 12368763505 12621187250 13007550125 13580056000 13715856560 13995772000 14135729720 14424214000 14568456140 16155119680 16649664160 17144820700 17316268907 17669662150 18210570175 19012078400 19202199184 19594080800 19790021608 20193899600 20395838596 20812080200 21431025875 22617167552 23309529824 23765098000 24002748980 24492601000 24737527010 25242374500 25494798245 26015100250 27431713120 27991544000 28271459440 28848428000 29136912280 30003436225 33299328320 34289641400 34632537814 35339324300 35692717543 36421140350 38404398368 39188161600 39580043216 40387799200 40791677192 41624160400 42862051750 44174155375 46619059648 47530196000 48005497960 48985202000 49475054020 50484749000 50989596490 52030200500 54863426240 56542918880 57696856000 58273824560 60006872450 61843817525 68579282800 69265075628 70678648600 71385435086 72842280700 76808796736 79160086432 80775598400 81583354384 83248320800 85724103500 86581344535 88348310750 91052850875 95060392000 96010995920 97970404000 98950108040 100969498000 101979192980 104060401000 113085837760 116547649120 120013744900 121213882349 123687635050 127473991225 137158565600 138530151256 141357297200 142770870172 145684561400 150017181125 158320172864 163166708768 166496641600 171448207000 173162689070 176696621500 178463587715 182105701750 192021991840 195940808000 197900216080 201938996000 203958385960 208120802000 233095298240 240027489800 242427764698 247375270100 249849022801 254947982450 274317131200 277060302512 282714594400 285541740344 291369122800 300034362250 309219087625 326333417536 342896414000 346325378140 353393243000 356927175430 364211403500 384043983680 395800432160 403877992000 407916771920 416241604000 432906722675 480054979600 484855529396 494750540200 499698045602 509895964900 554120605024 565429188800 571083480688 582738245600 600068724500 606069411745 618438175250 637369956125 685792828000 692650756280 706786486000 713854350860 728422807000 791600864320 815833543840 832483208000 865813445350 892317938575 960109959200 969711058792 989501080400 999396091204 1019791929800 1108241210048 1142166961376 1165476491200 1200137449000 1212138823490 1236876350500 1249245114005 1274739912250 1371585656000 1385301512560 1413572972000 1427708701720 1456845614000 1631667087680 1731626890700 1748943159607 1784635877150 1920219918400 1939422117584 1979002160800 1998792182408 2039583859600 2164533613375 2284333922752 2400274898000 2424277646980 2473752701000 2498490228010 2549479824500 2770603025120 2827145944000 2855417403440 2913691228000 3030347058725 3463253781400 3497886319214 3569271754300 3878844235168 3958004321600 3997584364816 4079167719200 4329067226750 4461589692875 4800549796000 4848555293960 4947505402000 4996980456020 5098959649000 5541206050240 5710834806880 5827382456000 6060694117450 6246225570025 6926507562800 6995772638428 7138543508600 7757688470336 7995168729632 8158335438400 8658134453500 8744715798035 8923179385750 9601099592000 9697110587920 9895010804000 9993960912040 10197919298000 11421669613760 12121388234900 12242602117249 12492451140050 13853015125600 13991545276856 14277087017200 15151735293625 15990337459264 17316268907000 17489431596070 17846358771500 19394221175840 19790021608000 19987921824080 20395838596000 24242776469800 24485204234498 24984902280100 27706030251200 27983090553712 28554174034400 30303470587250 31231127850125 34632537814000 34978863192140 35692717543000 38788442351680 39975843648160 40791677192000 43723578990175 48485552939600 48970408468996 49969804560200 55966181107424 57108348068800 60606941174500 61213010586245 62462255700250 69265075628000 69957726384280 71385435086000 79951687296320 87447157980350 96971105879200 97940816937992 99939609120400 111932362214848 121213882349000 122426021172490 124924511400500 138530151256000 139915452768560 142770870172000 174894315960700 193942211758400 195881633875984 199879218240800 218617894950875 242427764698000 244852042344980 249849022801000 279830905537120 285541740344000 306065052931225 349788631921400 391763267751968 399758436481600 437235789901750 484855529396000 489704084689960 499698045602000 559661811074240 612130105862450 699577263842800 783526535503936 874471579803500 969711058792000 979408169379920 999396091204000 1224260211724900 1399154527685600 1530325264656125 1748943159607000 1958816338759840 1998792182408000 2448520423449800 2798309055371200 3060650529312250 3497886319214000 3917632677519680 4897040846899600 6121301058624500 6995772638428000 9794081693799200 12242602117249000 13991545276856000 19588163387598400 24485204234498000 48970408468996000 97940816937992000
- Sum of all divisors σ(n): 285804913320762420
- Sum of proper divisors (its aliquot sum) s(n): 187864096382770420
- 97940816937992000 is an abundant number, because the sum of its proper divisors (187864096382770420) is greater than itself. Its abundance is 89923279444778420
Bases of 97940816937992000
- Binary: 1010110111111010010100111011100101001100110111111010000002
- Hexadecimal: 0x15BF4A77299BF40
- Base-36: QSD4E5RX9VK
Squares and roots of 97940816937992000
- 97940816937992000 squared (979408169379920002) is 9592403622481260642772992064000000
- 97940816937992000 cubed (979408169379920003) is 939487847184768470720313978345608596095488000000000
-
The
square root of 97940816937992000 is 312954975.8958818663 -
The
cube root of 97940816937992000 is 460950.8010824237
Scales and comparisons
How big is 97940816937992000?- 97,940,816,937,992,000 seconds is equal to 3,114,215,027 years, 41 weeks, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 97,940,816,937,992,000 would take you about nine billion, three hundred forty-two million, six hundred forty-five thousand and eighty-three 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 97940816937992000 cubic inches would be around 38412.6 feet tall.
Recreational maths with 97940816937992000
- 97940816937992000 backwards is 00029973961804979
- The number of decimal digits it has is: 17
- The sum of 97940816937992000's digits is 83
- More coming soon!
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The information we have on file for 97940816937992000 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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