97431325084350422323200
97,431,325,084,350,422,323,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 97431325084350422323200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 936 divisors.
97431325084350422323200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 97431325084350422323200:
212 × 32 × 52 × 7 × 22051 × 684904175261
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 22051 × 684904175261)See below for interesting mathematical facts about the number 97431325084350422323200 from the Numbermatics database.
Names of 97431325084350422323200
- Cardinal: 97431325084350422323200 can be written as Ninety-seven sextillion, four hundred thirty-one quintillion, three hundred twenty-five quadrillion, eighty-four trillion, three hundred fifty billion, four hundred twenty-two million, three hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 9.74313250843504223232 × 1022
Factors of 97431325084350422323200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 684904197329
Divisors of 97431325084350422323200
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2048 2100 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4096 4200 4480 4608 4800 5040 5120 5376 5600 5760 6144 6300 6400 6720 7168 7200 7680 8064 8400 8960 9216 9600 10080 10240 10752 11200 11520 12288 12600 12800 13440 14336 14400 15360 16128 16800 17920 18432 19200 20160 20480 21504 22051 22400 23040 25200 25600 26880 28672 28800 30720 32256 33600 35840 36864 38400 40320 43008 44102 44800 46080 50400 51200 53760 57600 61440 64512 66153 67200 71680 76800 80640 86016 88204 89600 92160 100800 102400 107520 110255 115200 129024 132306 134400 143360 153600 154357 161280 176408 179200 184320 198459 201600 215040 220510 230400 258048 264612 268800 307200 308714 322560 330765 352816 358400 396918 403200 430080 441020 460800 463071 529224 537600 551275 617428 645120 661530 705632 716800 771785 793836 806400 882040 921600 926142 992295 1058448 1075200 1102550 1234856 1290240 1323060 1389213 1411264 1543570 1587672 1612800 1653825 1764080 1852284 1984590 2116896 2150400 2205100 2315355 2469712 2646120 2778426 2822528 3087140 3175344 3225600 3307650 3528160 3704568 3858925 3969180 4233792 4410200 4630710 4939424 4961475 5292240 5556852 5645056 6174280 6350688 6451200 6615300 6946065 7056320 7409136 7717850 7938360 8467584 8820400 9261420 9878848 9922950 10584480 11113704 11290112 11576775 12348560 12701376 13230600 13892130 14112640 14818272 15435700 15876720 16935168 17640800 18522840 19757696 19845900 21168960 22227408 22580224 23153550 24697120 25402752 26461200 27784260 28225280 29636544 30871400 31753440 33870336 34730325 35281600 37045680 39515392 39691800 42337920 44454816 45160448 46307100 49394240 50805504 52922400 55568520 56450560 59273088 61742800 63506880 67740672 69460650 70563200 74091360 79030784 79383600 84675840 88909632 90320896 92614200 98788480 101611008 105844800 111137040 112901120 118546176 123485600 127013760 135481344 138921300 141126400 148182720 158061568 158767200 169351680 177819264 185228400 197576960 203222016 211689600 222274080 225802240 237092352 246971200 254027520 270962688 277842600 282252800 296365440 316123136 317534400 338703360 355638528 370456800 395153920 406444032 423379200 444548160 451604480 474184704 493942400 508055040 555685200 564505600 592730880 632246272 635068800 677406720 711277056 740913600 790307840 812888064 846758400 889096320 948369408 987884800 1016110080 1111370400 1129011200 1185461760 1270137600 1354813440 1422554112 1481827200 1580615680 1693516800 1778192640 1896738816 1975769600 2032220160 2222740800 2258022400 2370923520 2540275200 2845108224 2963654400 3161231360 3387033600 3556385280 3951539200 4064440320 4445481600 4741847040 5080550400 5690216448 5927308800 6774067200 7112770560 7903078400 8890963200 9483694080 10161100800 11854617600 14225541120 15806156800 17781926400 20322201600 23709235200 28451082240 35563852800 47418470400 71127705600 142255411200 684904175261 1369808350522 2054712525783 2739616701044 3424520876305 4109425051566 4794329226827 5479233402088 6164137577349 6849041752610 8218850103132 9588658453654 10273562628915 10958466804176 12328275154698 13698083505220 14382987680481 16437700206264 17122604381525 19177316907308 20547125257830 21916933608352 23971646134135 24656550309396 27396167010440 28765975360962 30820687886745 32875400412528 34245208763050 38354633814616 41094250515660 43148963041443 43833867216704 47943292268270 49313100618792 51367813144575 54792334020880 57531950721924 61641375773490 65750800825056 68490417526100 71914938402405 76709267629232 82188501031320 86297926082886 87667734433408 95886584536540 98626201237584 102735626289150 109584668041760 115063901443848 119858230670675 123282751546980 131501601650112 136980835052200 143829876804810 153418535258464 154103439433725 164377002062640 172595852165772 175335468866816 191773169073080 197252402475168 205471252578300 215744815207215 219169336083520 230127802887696 239716461341350 246565503093960 263003203300224 273961670104400 287659753609620 306837070516928 308206878867450 328754004125280 345191704331544 350670937733632 359574692012025 383546338146160 394504804950336 410942505156600 431489630414430 438338672167040 460255605775392 479432922682700 493131006187920 526006406600448 547923340208800 575319507219240 613674141033856 616413757734900 657508008250560 690383408663088 701341875467264 719149384024050 767092676292320 789009609900672 821885010313200 862979260828860 876677344334080 920511211550784 958865845365400 986262012375840 1052012813200896 1078724076036075 1095846680417600 1150639014438480 1227348282067712 1232827515469800 1315016016501120 1380766817326176 1402683750934528 1438298768048100 1534185352584640 1578019219801344 1643770020626400 1725958521657720 1753354688668160 1841022423101568 1917731690730800 1972524024751680 2104025626401792 2157448152072150 2191693360835200 2301278028876960 2454696564135424 2465655030939600 2630032033002240 2761533634652352 2805367501869056 2876597536096200 3068370705169280 3156038439602688 3287540041252800 3451917043315440 3506709377336320 3682044846203136 3835463381461600 3945048049503360 4208051252803584 4314896304144300 4383386721670400 4602556057753920 4909393128270848 4931310061879200 5260064066004480 5523067269304704 5753195072192400 6136741410338560 6312076879205376 6575080082505600 6903834086630880 7013418754672640 7364089692406272 7670926762923200 7890096099006720 8416102505607168 8629792608288600 8766773443340800 9205112115507840 9818786256541696 9862620123758400 10520128132008960 11046134538609408 11506390144384800 12273482820677120 12624153758410752 13150160165011200 13807668173261760 14026837509345280 14728179384812544 15102821968680311 15341853525846400 15780192198013440 17259585216577200 17533546886681600 18410224231015680 19637572513083392 19725240247516800 21040256264017920 22092269077218816 23012780288769600 24546965641354240 25248307516821504 26300320330022400 27615336346523520 29456358769625088 30205643937360622 30683707051692800 31560384396026880 34519170433154400 35067093773363200 36820448462031360 39450480495033600 42080512528035840 44184538154437632 45308465906040933 46025560577539200 49093931282708480 52600640660044800 55230672693047040 58912717539250176 60411287874721244 61367414103385600 63120768792053760 69038340866308800 70134187546726400 73640896924062720 75514109843401555 78900960990067200 88369076308875264 90616931812081866 92051121155078400 98187862565416960 105201281320089600 105719753780762177 110461345386094080 120822575749442488 122734828206771200 126241537584107520 135925397718122799 138076681732617600 147281793848125440 151028219686803110 157801921980134400 176738152617750528 181233863624163732 184102242310156800 210402562640179200 211439507561524354 220922690772188160 226542329530204665 241645151498884976 245469656413542400 271850795436245598 276153363465235200 294563587696250880 302056439373606220 315603843960268800 317159261342286531 362467727248327464 368204484620313600 377570549217007775 422879015123048708 441845381544376320 453084659060409330 483290302997769952 490939312827084800 528598768903810885 543701590872491196 552306726930470400 604112878747212440 631207687920537600 634318522684573062 679626988590613995 724935454496654928 736408969240627200 755141098434015550 845758030246097416 883690763088752640 906169318120818660 951477784026859593 966580605995539904 1057197537807621770 1087403181744982392 1104613453860940800 1132711647651023325 1208225757494424880 1268637045369146124 1359253977181227990 1449870908993309856 1472817938481254400 1510282196868031100 1585796306711432655 1691516060492194832 1812338636241637320 1902955568053719186 1933161211991079808 2114395075615243540 2174806363489964784 2209226907721881600 2265423295302046650 2416451514988849760 2537274090738292248 2642993844519054425 2718507954362455980 2899741817986619712 3020564393736062200 3171592613422865310 3383032120984389664 3398134942953069975 3624677272483274640 3805911136107438372 3866322423982159616 4228790151230487080 4349612726979929568 4418453815443763200 4530846590604093300 4757388920134297965 4832903029977699520 5074548181476584496 5285987689038108850 5437015908724911960 5799483635973239424 6041128787472124400 6343185226845730620 6766064241968779328 6796269885906139950 7249354544966549280 7611822272214876744 7732644847964319232 7928981533557163275 8457580302460974160 8699225453959859136 9061693181208186600 9514777840268595930 9665806059955399040 10149096362953168992 10571975378076217700 10874031817449823920 11598967271946478848 12082257574944248800 12686370453691461240 13532128483937558656 13592539771812279900 14498709089933098560 15223644544429753488 15465289695928638464 15857963067114326550 16915160604921948320 17398450907919718272 18123386362416373200 19029555680537191860 19331612119910798080 20298192725906337984 21143950756152435400 21748063634899647840 23197934543892957696 23786944600671489825 24164515149888497600 25372740907382922480 27064256967875117312 27185079543624559800 28997418179866197120 30447289088859506976 30930579391857276928 31715926134228653100 33830321209843896640 34796901815839436544 36246772724832746400 38059111361074383720 38663224239821596160 40596385451812675968 42287901512304870800 43496127269799295680 46395869087785915392 47573889201342979650 48329030299776995200 50745481814765844960 54128513935750234624 54370159087249119600 57994836359732394240 60894578177719013952 61861158783714553856 63431852268457306200 67660642419687793280 69593803631678873088 72493545449665492800 76118222722148767440 77326448479643192320 81192770903625351936 84575803024609741600 86992254539598591360 92791738175571830784 95147778402685959300 96658060599553990400 101490963629531689920 108257027871500469248 108740318174498239200 115989672719464788480 121789156355438027904 126863704536914612400 135321284839375586560 139187607263357746176 144987090899330985600 152236445444297534880 154652896959286384640 162385541807250703872 169151606049219483200 173984509079197182720 185583476351143661568 190295556805371918600 193316121199107980800 202981927259063379840 216514055743000938496 217480636348996478400 231979345438929576960 243578312710876055808 253727409073829224800 270642569678751173120 278375214526715492352 289974181798661971200 304472890888595069760 309305793918572769280 324771083614501407744 338303212098438966400 347969018158394365440 380591113610743837200 386632242398215961600 405963854518126759680 433028111486001876992 434961272697992956800 463958690877859153920 487156625421752111616 507454818147658449600 541285139357502346240 556750429053430984704 579948363597323942400 608945781777190139520 649542167229002815488 676606424196877932800 695938036316788730880 761182227221487674400 773264484796431923200 811927709036253519360 869922545395985913600 927917381755718307840 974313250843504223232 1014909636295316899200 1082570278715004692480 1159896727194647884800 1217891563554380279040 1299084334458005630976 1353212848393755865600 1391876072633577461760 1522364454442975348800 1546528969592863846400 1623855418072507038720 1739845090791971827200 1948626501687008446464 2029819272590633798400 2165140557430009384960 2319793454389295769600 2435783127108760558080 2706425696787511731200 2783752145267154923520 3044728908885950697600 3247710836145014077440 3479690181583943654400 3897253003374016892928 4059638545181267596800 4639586908778591539200 4871566254217521116160 5412851393575023462400 6089457817771901395200 6495421672290028154880 6959380363167887308800 8119277090362535193600 9743132508435042232320 10825702787150046924800 12178915635543802790400 13918760726335774617600 16238554180725070387200 19486265016870084464640 24357831271087605580800 32477108361450140774400 48715662542175211161600 97431325084350422323200
- Sum of all divisors σ(n): 398850147141467753025216
- Sum of proper divisors (its aliquot sum) s(n): 301418822057117330702016
- 97431325084350422323200 is an abundant number, because the sum of its proper divisors (301418822057117330702016) is greater than itself. Its abundance is 203987496972766908378816
Bases of 97431325084350422323200
- Binary: 101001010000111000011010000010101111011101110101110001111001000010000000000002
- Hexadecimal: 0x14A1C3415EEEB8F21000
- Base-36: FV65J48IEXJ0U80
Squares and roots of 97431325084350422323200
- 97431325084350422323200 squared (974313250843504223232002) is 9492863107692371829632902226102196885258240000
- 97431325084350422323200 cubed (974313250843504223232003) is 924902231426812491943984293901208611135397012242848156292743168000000
-
The
square root of 97431325084350422323200 is 312139912674.3493249085 -
The
cube root of 97431325084350422323200 is 46015011.6544894797
Scales and comparisons
How big is 97431325084350422323200?- 97,431,325,084,350,422,323,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 97,431,325,084,350,422,323,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 97431325084350422323200 cubic inches would be around 3834584.3 feet tall.
Recreational maths with 97431325084350422323200
- 97431325084350422323200 backwards is 00232322405348052313479
- 97431325084350422323200 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 97431325084350422323200's digits is 72
- More coming soon!
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The information we have on file for 97431325084350422323200 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!
Keywords: Divisors of 97431325084350422323200, math, Factors of 97431325084350422323200, curriculum, school, college, exams, university, Prime factorization of 97431325084350422323200, STEM, science, technology, engineering, physics, economics, calculator, ninety-seven sextillion, four hundred thirty-one quintillion, three hundred twenty-five quadrillion, eighty-four trillion, three hundred fifty billion, four hundred twenty-two million, three hundred twenty-three thousand, two hundred.