996438345897810816
996,438,345,897,810,816 is an even composite number composed of eight prime numbers multiplied together.
What does the number 996438345897810816 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
996438345897810816 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 996438345897810816:
27 × 32 × 7 × 11 × 13 × 17 × 10273 × 4947863
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 17 × 10273 × 4947863)See below for interesting mathematical facts about the number 996438345897810816 from the Numbermatics database.
Names of 996438345897810816
- Cardinal: 996438345897810816 can be written as Nine hundred ninety-six quadrillion, four hundred thirty-eight trillion, three hundred forty-five billion, eight hundred ninety-seven million, eight hundred ten thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 9.96438345897810816 × 1017
Factors of 996438345897810816
Divisors of 996438345897810816
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 48 51 52 56 63 64 66 68 72 77 78 84 88 91 96 99 102 104 112 117 119 126 128 132 136 143 144 153 154 156 168 176 182 187 192 198 204 208 221 224 231 234 238 252 264 272 273 286 288 306 308 312 336 352 357 364 374 384 396 408 416 429 442 448 462 468 476 504 528 544 546 561 572 576 612 616 624 663 672 693 704 714 728 748 792 816 819 832 858 884 896 924 936 952 1001 1008 1056 1071 1088 1092 1122 1144 1152 1224 1232 1248 1287 1309 1326 1344 1386 1408 1428 1456 1496 1547 1584 1632 1638 1664 1683 1716 1768 1848 1872 1904 1989 2002 2016 2112 2142 2176 2184 2244 2288 2431 2448 2464 2496 2574 2618 2652 2688 2772 2856 2912 2992 3003 3094 3168 3264 3276 3366 3432 3536 3696 3744 3808 3927 3978 4004 4032 4224 4284 4368 4488 4576 4641 4862 4896 4928 4992 5148 5236 5304 5544 5712 5824 5984 6006 6188 6336 6528 6552 6732 6864 7072 7293 7392 7488 7616 7854 7956 8008 8064 8568 8736 8976 9009 9152 9282 9724 9792 9856 10273 10296 10472 10608 11088 11424 11648 11781 11968 12012 12376 12672 13104 13464 13728 13923 14144 14586 14784 14976 15232 15708 15912 16016 17017 17136 17472 17952 18018 18304 18564 19448 19584 20546 20592 20944 21216 21879 22176 22848 23562 23936 24024 24752 26208 26928 27456 27846 28288 29172 29568 30819 31416 31824 32032 34034 34272 34944 35904 36036 37128 38896 41092 41184 41888 42432 43758 44352 45696 47124 48048 49504 51051 52416 53856 54912 55692 58344 61638 62832 63648 64064 68068 68544 71808 71911 72072 74256 77792 82184 82368 83776 84864 87516 88704 92457 94248 96096 99008 102102 104832 107712 111384 113003 116688 123276 125664 127296 128128 133549 136136 137088 143822 144144 148512 153153 155584 164368 164736 167552 174641 175032 184914 188496 192192 198016 204204 215424 215733 222768 226006 233376 246552 251328 254592 267098 272272 287644 288288 297024 306306 311168 328736 339009 349282 350064 369828 376992 384384 400647 408408 431466 445536 452012 466752 493104 502656 523923 534196 544544 575288 576576 594048 612612 647199 657472 678018 698564 700128 739656 753984 791021 801294 816816 862932 891072 904024 933504 934843 986208 1017027 1047846 1068392 1089088 1150576 1153152 1201941 1222487 1225224 1294398 1314944 1356036 1397128 1400256 1469039 1479312 1507968 1571769 1582042 1602588 1633632 1725864 1782144 1808048 1869686 1921051 1972416 2034054 2095692 2136784 2178176 2270333 2301152 2373063 2403882 2444974 2450448 2588796 2712072 2794256 2800512 2804529 2938078 2958624 3143538 3164084 3205176 3267264 3451728 3616096 3667461 3739372 3842102 3944832 4068108 4191384 4273568 4407117 4540666 4602304 4746126 4807764 4889948 4900896 4947863 5177592 5424144 5588512 5609058 5763153 5876156 5917248 6287076 6328168 6410352 6534528 6810999 6903456 7119189 7232192 7334922 7478744 7684204 8136216 8382768 8413587 8547136 8814234 9081332 9204608 9492252 9615528 9779896 9801792 9895726 10283273 10355184 10848288 11002383 11177024 11218116 11526306 11752312 11834496 12574152 12656336 12820704 13221351 13447357 13621998 13806912 14238378 14464384 14669844 14843589 14957488 15368408 15892331 16272432 16765536 16827174 17094272 17289459 17628468 18162664 18984504 19231056 19559792 19603584 19791452 20432997 20566546 20710368 21696576 22004766 22354048 22436232 23052612 23504624 24973663 25148304 25312672 25641408 26442702 26894714 27243996 27613824 28476756 29339688 29687178 29914976 30736816 30849819 31784662 32544864 33531072 33654348 34578918 34635041 35256936 36325328 37969008 38462112 39119584 39582904 40342071 40865994 41133092 41420736 43393152 44009532 44530767 44872464 46105224 47009248 47676993 49947326 50296608 50625344 51282816 52885404 53789428 54426493 54487992 56953512 58679376 59374356 59829952 61473632 61699638 63569324 64322219 65089728 67062144 67308696 69157836 69270082 70513872 72650656 74920989 75938016 76924224 78239168 79165808 80684142 81731988 82266184 82841472 84113671 88019064 89061534 89744928 92210448 92549457 94018496 95353986 99894652 100593216 101250688 103905123 105770808 107578856 108852986 108975984 113907024 117358752 118748712 119659904 121026213 122947264 123399276 127138648 128644438 130179456 134617392 138315672 138540164 141027744 143030979 145301312 149841978 151876032 153848448 156478336 158331616 161368284 163279479 163463976 164532368 168227342 174815641 176038128 178123068 179489856 184420896 185098914 188036992 190707972 192966657 199789304 201186432 207810246 211541616 215157712 217705972 217951968 224762967 227814048 234717504 237497424 242052426 245894528 246798552 252341013 254277296 257288876 269234784 276631344 277080328 282055488 286061958 290602624 299683956 303752064 311715369 316663232 322736568 326558958 326927952 329064736 336454684 349631282 352076256 356246136 358979712 368841792 370197828 380985451 381415944 385933314 399578608 415620492 423083232 430315424 435411944 435903936 449525934 450255533 455628096 469435008 474994848 484104852 489838437 493597104 504682026 508554592 514577752 524446923 538469568 553262688 554160656 564110976 572123916 578899971 588795697 599367912 623430738 633326464 645473136 653117916 653855904 658129472 672909368 699262564 704152512 707544409 712492272 737683584 740395656 757023039 761970902 762831888 771866628 799157216 831240984 846166464 860630848 870823888 871807872 899051868 900511066 911256192 925250381 949989696 968209704 979676874 987194208 1009364052 1017109184 1029155504 1048893846 1076939136 1093477723 1106525376 1108321312 1142956353 1144247832 1157799942 1177591394 1198735824 1246861476 1290946272 1306235832 1307711808 1316258944 1345818736 1350766599 1398525128 1408305024 1415088818 1424984544 1480791312 1514046078 1523941804 1525663776 1543733256 1573340769 1598314432 1662481968 1692332928 1721261696 1741647776 1766387091 1798103736 1801022132 1850500762 1899979392 1936419408 1959353748 1974388416 2018728104 2034218368 2058311008 2097787692 2122633227 2186955446 2213050752 2216642624 2285912706 2288495664 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10766549888 10806132792 11103004572 11188201024 11320710544 11846330496 12028254953 12112368624 12191534432 12349866048 12586726152 12735799362 12953505334 13121732676 13299855744 13715476236 14131096728 14384829888 14408177056 14804006096 14858432589 15308688122 15491355264 15674829984 16149824832 16209199188 16654506858 16782301536 16981065816 17495643568 18287301648 18307965312 18524799072 18841462304 19430258001 19682599014 19811243452 19949783616 20899773312 21196645092 21612265584 22206009144 22376402048 22641421088 22963032183 24056509906 24224737248 24383068864 24699732096 25173452304 25471598724 25907010668 26243465352 27430952472 28262193456 28769659776 28816354112 29608012192 29716865178 30617376244 31349659968 32299649664 32418398376 33309013716 33564603072 33962131632 34991287136 36084764859 36574603296 37049598144 37682924608 38860516002 39365198028 39622486904 39899567232 42393290184 43224531168 44412018288 44575297767 45282842176 45926064366 48113019812 48449474496 48766137728 50346904608 50829396599 50943197448 51814021336 52486930704 54861904944 56524386912 57632708224 58290774003 59216024384 59433730356 61234752488 62699319936 64836796752 66618027432 67129206144 67924263264 68889096549 69982574272 72169529718 73149206592 74099196288 75365849216 77721032004 78730396056 79244973808 84197784671 84786580368 86449062336 88824036576 89150595534 90565684352 91852128732 96226039624 96898948992 100693809216 101658793198 101886394896 103628042672 104973861408 108254294577 109723809888 113048773824 116581548006 118432048768 118867460712 122469504976 129673593504 133236054864 135848526528 137778193098 139965148544 144339059436 146298413184 152488189797 155442064008 157460792112 158489947616 168395569342 169573160736 172898124672 177648073152 178301191068 183704257464 192452079248 201387618432 203317586396 203772789792 207256085344 209947722816 216508589154 219447619776 226097547648 233163096012 237734921424 244939009952 252593354013 259347187008 266472109728 271697053056 275556386196 288678118872 304976379594 310884128016 314921584224 316979895232 336791138684 339146321472 355296146304 355805776193 356602382136 367408514928 384904158496 406635172792 407545579584 414512170688 419895445632 433017178308 438895239552 457464569391 466326192024 475469842848 489878019904 505186708026 518694374016 532944219456 551112772392 559123362589 577356237744 609952759188 621768256032 629843168448 633959790464 660782155787 673582277368 678292642944 711611552386 713204764272 734817029856 757780062039 769808316992 813270345584 815091159168 829024341376 864099742183 866034356616 914929138782 932652384048 950939685696 979756039808 1010373416052 1065888438912 1067417328579 1102225544784 1118246725178 1154712475488 1219905518376 1243536512064 1259686336896 1321564311574 1347164554736 1423223104772 1426409528544 1469634059712 1515560124078 1539616633984 1626540691168 1677370087767 1728199484366 1732068713232 1829858277564 1865304768096 1901879371392 1982346467361 2020746832104 2134834657158 2204451089568 2236493450356 2309424950976 2439811036752 2487073024128 2592299226549 2643128623148 2694329109472 2846446209544 2852819057088 2939268119424 3031120248156 3202251985737 3253081382336 3354740175534 3456398968732 3464137426464 3659716555128 3730609536192 3913863538123 3964692934722 4041493664208 4269669314316 4408902179136 4472986900712 4618849901952 4625475090509 4879622073504 5032110263301 5184598453098 5286257246296 5388658218944 5692892419088 5705638114176 5947039402083 6048698195281 6062240496312 6404503971474 6506162764672 6709480351068 6912797937464 6928274852928 7268603713657 7319433110256 7461219072384 7776897679647 7827727076246 7929385869444 8082987328416 8539338628632 8817804358272 8945973801424 9250950181018 9505097164013 9759244147008 10064220526602 10369196906196 10572514492592 10777316437888 11233296648379 11385784838176 11741590614369 11894078804166 12097396390562 12124480992624 12809007942948 13418960702136 13825595874928 13856549705856 13876425271527 14537207427314 14638866220512 15553795359294 15655454152492 15858771738888 16165974656832 17078677257264 17891947602848 18146094585843 18501900362036 19010194328026 19518488294016 20128441053204 20738393812392 21145028985184 21805811140971 22466593296758 22771569676352 23483181228738 23788157608332 24194792781124 24248961985248 25618015885896 26837921404272 27651191749856 27752850543054 28515291492039 29074414854628 29277732441024 31107590718588 31310908304984 31717543477776 32331949313664 33699889945137 34157354514528 35224771843107 35783895205696 36292189171686 37003800724072 38020388656052 40256882106408 41476787624784 41629275814581 42290057970368 43611622281942 44933186593516 45543139352704 46966362457476 47576315216664 48389585562248 48497923970496 50880225995599 51236031771792 53675842808544 54438283757529 55302383499712 55505701086108 57030582984078 58148829709256 58555464882048 62215181437176 62621816609968 63435086955552 65417433422913 66535680148091 67399779890274 68314709029056 70449543686214 71567790411392 72584378343372 74007601448144 76040777312104 78633076538653 80513764212816 82953575249568 83258551629162 84580115940736 85545874476117 87223244563884 89866373187032 93932724914952 95152630433328 96779171124496 96995847940992 101099669835411 101760451991198 102472063543584 107351685617088 108876567515058 110604766999424 111011402172216 114061165968156 116297659418512 123566263132169 124430362874352 125243633219936 126870173911104 130834866845826 133071360296182 134799559780548 136629418058112 140899087372428 145168756686744 148015202896288 152081554624208 152640677986797 157266153077306 161027528425632 165907150499136 166517103258324 171091748952234 174446489127768 179732746374064 187865449829904 190305260866656 193558342248992 199607040444273 202199339670822 203520903982396 204944127087168 214703371234176 217753135030116 222022804344432 228122331936312 232595318837024 235899229615959 247132526264338 248860725748704 250487266439872 253740347822208 261669733691652 266142720592364 269599119561096 281798174744856 290337513373488 296030405792576 304163109248416 305281355973594 314532306154612 322055056851264 331814300998272 333034206516648 342183497904468 348892978255536 359465492748128 370698789396507 375730899659808 380610521733312 387116684497984 399214080888546 404398679341644 407041807964792 409888254174336 435506270060232 444045608688864 456244663872624 457922033960391 465190637674048 471798459231918 494265052528676 497721451497408 500974532879744 523339467383304 532285441184728 539198239122192 563596349489712 580675026746976 592060811585152 598821121332819 608326218496832 610562711947188 629064612309224 644110113702528 666068413033296 684366995808936 697785956511072 707697688847877 718930985496256 741397578793014 751461799319616 761221043466624 774233368995968 798428161777092 808797358683288 814083615929584 864963841925183 871012540120464 888091217377728 912489327745248 915844067920782 930381275348096 943596918463836 988530105057352 995442902994816 1046678934766608 1064570882369456 1078396478244384 1112096368189521 1127192698979424 1161350053493952 1197642242665638 1216652436993664 1221125423894376 1258129224618448 1332136826066592 1368733991617872 1395571913022144 1415395377695754 1437861970992512 1482795157586028 1502923598639232 1596856323554184 1617594717366576 1628167231859168 1729927683850366 1742025080240928 1776182434755456 1824978655490496 1831688135841564 1887193836927672 1977060210114704 2093357869533216 2129141764738912 2156792956488768 2224192736379042 2254385397958848 2322700106987904 2395284485331276 2442250847788752 2516258449236896 2594891525775549 2664273652133184 2737467983235744 2791143826044288 2830790755391508 2965590315172056 3193712647108368 3235189434733152 3256334463718336 3459855367700732 3484050160481856 3649957310980992 3663376271683128 3774387673855344 3954120420229408 4186715739066432 4258283529477824 4313585912977536 4448385472758084 4508770795917696 4790568970662552 4884501695577504 5032516898473792 5189783051551098 5328547304266368 5474935966471488 5661581510783016 5931180630344112 6387425294216736 6470378869466304 6512668927436672 6919710735401464 6968100320963712 7326752543366256 7548775347710688 7784674577326647 7908240840458816 8373431478132864 8516567058955648 8896770945516168 9581137941325104 9769003391155008 10065033796947584 10379566103102196 10949871932942976 11323163021566032 11862361260688224 12774850588433472 12940757738932608 13839421470802928 14653505086732512 15097550695421376 15569349154653294 15816481680917632 17793541891032336 19162275882650208 19538006782310016 20759132206204392 22646326043132064 23724722521376448 25549701176866944 27678842941605856 29307010173465024 30195101390842752 31138698309306588 35587083782064672 38324551765300416 41518264412408784 45292652086264128 47449445042752896 55357685883211712 58614020346930048 62277396618613176 71174167564129344 76649103530600832 83036528824817568 90585304172528256 110715371766423424 124554793237226352 142348335128258688 166073057649635136 249109586474452704 332146115299270272 498219172948905408 996438345897810816
- Sum of all divisors σ(n): 4076736312898529280
- Sum of proper divisors (its aliquot sum) s(n): 3080297967000718464
- 996438345897810816 is an abundant number, because the sum of its proper divisors (3080297967000718464) is greater than itself. Its abundance is 2083859621102907648
Bases of 996438345897810816
- Binary: 1101110101000000111101100101011011111101000100011011100000002
- Hexadecimal: 0xDD40F656FD11B80
- Base-36: 7KJBWWOVV8G0
Squares and roots of 996438345897810816
- 996438345897810816 squared (9964383458978108162) is 992889377175565273042343301326585856
- 996438345897810816 cubed (9964383458978108163) is 989353048652327857029511707147108556769204249869418496
-
The
square root of 996438345897810816 is 998217584.4463023763 -
The
cube root of 996438345897810816 is 998811.3696836901
Scales and comparisons
How big is 996438345897810816?- 996,438,345,897,810,816 seconds is equal to 31,683,657,213 years, 19 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 996,438,345,897,810,816 would take you about ninety-five billion, fifty million, nine hundred seventy-one thousand, six hundred forty 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 996438345897810816 cubic inches would be around 83234.3 feet tall.
Recreational maths with 996438345897810816
- 996438345897810816 backwards is 618018798543834699
- 996438345897810816 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 996438345897810816's digits is 99
- More coming soon!
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"Number 996438345897810816 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 996438345897810816 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/996438345897810816/
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The information we have on file for 996438345897810816 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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