117830312246224198400
117,830,312,246,224,198,400 is an even composite number composed of six prime numbers multiplied together.
117830312246224198400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 117830312246224198400:
28 × 52 × 13 × 23 × 6832 × 114892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 683 × 683 × 11489 × 11489)See below for interesting mathematical facts about the number 117830312246224198400 from the Numbermatics database.
Names of 117830312246224198400
- Cardinal: 117830312246224198400 can be written as One hundred seventeen quintillion, eight hundred thirty quadrillion, three hundred twelve trillion, two hundred forty-six billion, two hundred twenty-four million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.178303122462241984 × 1020
Factors of 117830312246224198400
Divisors of 117830312246224198400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 128 130 160 184 200 208 230 256 260 299 320 325 368 400 416 460 520 575 598 640 650 683 736 800 832 920 1040 1150 1196 1280 1300 1366 1472 1495 1600 1664 1840 2080 2300 2392 2600 2732 2944 2990 3200 3328 3415 3680 4160 4600 4784 5200 5464 5888 5980 6400 6830 7360 7475 8320 8879 9200 9568 10400 10928 11489 11960 13660 14720 14950 15709 16640 17075 17758 18400 19136 20800 21856 22978 23920 27320 29440 29900 31418 34150 35516 36800 38272 41600 43712 44395 45956 47840 54640 57445 59800 62836 68300 71032 73600 76544 78545 83200 87424 88790 91912 95680 109280 114890 119600 125672 136600 142064 147200 149357 157090 174848 177580 183824 191360 204217 218560 221975 229780 239200 251344 264247 273200 284128 287225 298714 314180 355160 367648 382720 392725 408434 437120 443950 459560 466489 478400 502688 528494 546400 568256 574450 597428 628360 710320 735296 746785 785450 816868 874240 887900 919120 932978 956800 1005376 1021085 1056988 1092800 1136512 1148900 1194856 1256720 1321235 1420640 1470592 1493570 1570900 1633736 1775800 1838240 1865956 1913600 2010752 2042170 2113976 2185600 2273024 2297800 2332445 2389712 2513440 2642470 2841280 2941184 2987140 3141800 3267472 3435211 3551600 3676480 3731912 3733925 4021504 4084340 4227952 4371200 4595600 4664890 4779424 5026880 5105425 5284940 5682560 5974280 6064357 6283600 6534944 6606175 6870422 7103200 7352960 7463824 7467850 7846987 8168680 8455904 9191200 9329780 9558848 10053760 10210850 10569880 10729247 11365120 11662225 11948560 12128714 12567200 13069888 13212350 13740844 14206400 14705920 14927648 14935700 15693974 16337360 16911808 17176055 18382400 18659560 19117696 20107520 20421700 21139760 21458494 23324450 23897120 24257428 25134400 26139776 26424700 27481688 28412800 29855296 29871400 30321785 31387948 32674720 33823616 34352110 36764800 37319120 38235392 39234935 40843400 42279520 42916988 46648900 47794240 48514856 50268800 52279552 52849400 53646235 54963376 56825600 59710592 59742800 60643570 62775896 65349440 67647232 68704220 73529600 74638240 78469870 81686800 84559040 85833976 85880275 93297800 95588480 97029712 100537600 102010831 105698800 107292470 109926752 119421184 119485600 121287140 125551792 130698880 131997121 137408440 139480211 149276480 151608925 156939740 163373600 169118080 171667952 171760550 180480701 186595600 191176960 194059424 196174675 204021662 211397600 214584940 219853504 238971200 242574280 251103584 261397760 263994242 268231175 274816880 278960422 298552960 303217850 313879480 326747200 338236160 343335904 343521100 360961402 373191200 388118848 392349350 408043324 422795200 429169880 439707008 477942400 485148560 502207168 510054155 527988484 536462350 549633760 557920844 597105920 606435700 627758960 653494400 659985605 686671808 687042200 697401055 721922804 746382400 776237696 784698700 816086648 845590400 858339760 879414016 902403505 955884800 970297120 1004414336 1020108310 1055976968 1072924700 1099267520 1115841688 1212871400 1255517920 1306988800 1319971210 1373343616 1374084400 1394802110 1443845608 1492764800 1552475392 1569397400 1632173296 1691180800 1715962573 1716679520 1804807010 1940594240 2008828672 2040216620 2111953936 2145849400 2198535040 2231683376 2346249113 2425742800 2511035840 2550270775 2639942420 2746687232 2748168800 2789604220 2887691216 2985529600 3035933783 3138794800 3264346592 3299928025 3431925146 3433359040 3487005275 3609614020 3881188480 4080433240 4223907872 4291698800 4397070080 4463366752 4512017525 4692498226 4851485600 5022071680 5100541550 5279884840 5359492121 5496337600 5579208440 5775382432 6071867566 6277589600 6528693184 6599856050 6863850292 6866718080 6974010550 7219228040 7762376960 8160866480 8447815744 8579812865 8583397600 8926733504 9024035050 9384996452 9702971200 10044143360 10201083100 10559769680 10718984242 10992675200 11158416880 11550764864 11731245565 12143735132 12555179200 13057386368 13199712100 13727700584 13733436160 13948021100 14438456080 15179668915 16321732960 16895631488 17159625730 17166795200 17853467008 18048070100 18769992904 19405942400 20402166200 21119539360 21437968484 21985350400 22316833760 23101529728 23462491130 24287470264 25110358400 26114772736 26399424200 26797460605 27455401168 27896042200 28876912160 30359337830 32643465920 33791262976 34319251460 34333590400 35706934016 36096140200 37539985808 38811884800 39467139179 40804332400 42239078720 42875936968 42899064325 44633667520 46203059456 46924982260 48574940528 50220716800 52798848400 53594921210 54910802336 55792084400 57753824320 58656227825 60718675660 65286931840 68638502920 68667180800 69673397573 72192280400 75079971616 75898344575 78934278358 81608664800 84478157440 85751873936 85798128650 89267335040 90154033643 93849964520 97149881056 105597696800 107189842420 109821604672 111584168800 115507648640 117312455650 121437351320 123268318783 130573863680 133987303025 137277005840 139346795146 144384560800 150159943232 151796689150 157868556716 163217329600 168956314880 171503747872 171596257300 178534670080 180308067286 187699929040 194299762112 197335695895 211195393600 214379684840 219643209344 223168337600 231015297280 234624911300 242874702640 246536637566 267974606050 274554011680 278693590292 288769121600 300319886464 303593378300 315737113432 326434659200 343007495744 343192514600 348366987865 360616134572 375399858080 388599524224 394671391790 422390787200 428759369680 439286418688 446336675200 450770168215 469249822600 485749405280 493073275132 535949212100 549108023360 557387180584 577538243200 600639772928 607186756600 616341593915 631474226864 652869318400 686014991488 686385029200 696733975730 721232269144 750799716160 777199048448 789342783580 844781574400 857518739360 892673350400 901540336430 938499645200 971498810560 986146550264 986678479475 1071898424200 1098216046720 1114774361168 1155076486400 1172002437359 1214373513200 1232683187830 1262948453728 1372029982976 1372770058400 1393467951460 1442464538288 1501599432320 1578685567160 1602488144179 1715037478720 1741834939325 1803080672860 1876999290400 1942997621120 1972293100528 1973356958950 2073542773789 2143796848400 2196432093440 2229548722336 2253850841075 2344004874718 2428747026400 2465366375660 2525896907456 2745540116800 2786935902920 2884929076576 3003198864640 3081707969575 3157371134320 3204976288358 3430074957440 3483669878650 3606161345720 3753998580800 3885995242240 3944586201056 3946713917900 4147085547578 4287593696800 4459097444672 4507701682150 4688009749436 4857494052800 4930732751320 5051793814912 5491080233600 5573871805840 5769858153152 5860012186795 6163415939150 6314742268640 6409952576716 6860149914880 6967339757300 7212322691440 7507997161600 7889172402112 7893427835800 8012440720895 8294171095156 8575187393600 8918194889344 9015403364300 9376019498872 9714988105600 9861465502640 10103587629824 10367713868945 10982160467200 11147743611680 11539716306304 11720024373590 12326831878300 12629484537280 12819905153432 13934679514600 14424645382880 15015994323200 15778344804224 15786855671600 16024881441790 16588342190312 17150374787200 17836389778688 18030806728600 18752038997744 19429976211200 19722931005280 20735427737890 22295487223360 23079432612608 23440048747180 24653663756600 25258969074560 25639810306864 26956056059257 27869359029200 28849290765760 29300060933975 31556689608448 31573711343200 32049762883580 33176684380624 34300749574400 36061613457200 37504077995488 39445862010560 40062203604475 41470855475780 44590974446720 46880097494360 49307327513200 50517938149120 51279620613728 51838569344725 53912112118514 55738718058400 57698581531520 58600121867950 61575204978169 63147422686400 64099525767160 66353368761248 72123226914400 75008155990976 78891724021120 80124407208950 82941710951560 89181948893440 93760194988720 98614655026400 102559241227456 103677138689450 107824224237028 111477436116800 115397163063040 117200243735900 123150409956338 126294845372800 128199051534320 132706737522496 134780280296285 144246453828800 150016311981952 157783448042240 160248814417900 165883421903120 187520389977440 197229310052800 205118482454912 207354277378900 215648448474056 222954872233600 234400487471800 246300819912676 252589690745600 256398103068640 265413475044992 269560560592570 288492907657600 300032623963904 307876024890845 320497628835800 331766843806240 375040779954880 394458620105600 410236964909824 414708554757800 431296896948112 445909744467200 468800974943600 492601639825352 512796206137280 530826950089984 539121121185140 576985815315200 615752049781690 640995257671600 663533687612480 673901401481425 750081559909760 788917240211200 800477664716197 829417109515600 862593793896224 937601949887200 985203279650704 1025592412274560 1078242242370280 1231504099563380 1281990515343200 1327067375224960 1347802802962850 1416229714497887 1500163119819520 1539380124454225 1600955329432394 1658834219031200 1725187587792448 1875203899774400 1970406559301408 2051184824549120 2156484484740560 2463008199126760 2563981030686400 2654134750449920 2695605605925700 2832459428995774 3078760248908450 3201910658864788 3317668438062400 3450375175584896 3750407799548800 3940813118602816 4002388323580985 4312968969481120 4926016398253520 5127962061372800 5391211211851400 5664918857991548 6157520497816900 6403821317729576 6635336876124800 6900750351169792 7081148572489435 7500815599097600 7881626237205632 8004776647161970 8625937938962240 9852032796507040 10255924122745600 10782422423702800 11329837715983096 12315040995633800 12807642635459152 13270673752249600 14162297144978870 15763252474411264 16009553294323940 17251875877924480 18410986288472531 19704065593014080 20011941617904925 21564844847405600 22659675431966192 24630081991267600 25615285270918304 28324594289957740 32019106588647880 34503751755848960 35405742862447175 36821972576945062 39408131186028160 40023883235809850 43129689694811200 45319350863932384 49260163982535200 51230570541836608 56649188579915480 64038213177295760 70811485724894350 73643945153890124 78816262372056320 80047766471619700 86259379389622400 90638701727864768 92054931442362655 98520327965070400 102461141083673216 113298377159830960 128076426354591520 141622971449788700 147287890307780248 160095532943239400 172518758779244800 181277403455729536 184109862884725310 197040655930140800 204922282167346432 226596754319661920 256152852709183040 283245942899577400 294575780615560496 320191065886478800 362554806911459072 368219725769450620 394081311860281600 453193508639323840 460274657211813275 512305705418366080 566491885799154800 589151561231120992 640382131772957600 736439451538901240 906387017278647680 920549314423626550 1024611410836732160 1132983771598309600 1178303122462241984 1280764263545915200 1472878903077802480 1812774034557295360 1841098628847253100 2265967543196619200 2356606244924483968 2561528527091830400 2945757806155604960 3682197257694506200 4531935086393238400 4713212489848967936 5123057054183660800 5891515612311209920 7364394515389012400 9063870172786476800 11783031224622419840 14728789030778024800 23566062449244839680 29457578061556049600 58915156123112099200 117830312246224198400
- Sum of all divisors σ(n): 328247833090397546928
- Sum of proper divisors (its aliquot sum) s(n): 210417520844173348528
- 117830312246224198400 is an abundant number, because the sum of its proper divisors (210417520844173348528) is greater than itself. Its abundance is 92587208597949150128
Bases of 117830312246224198400
- Binary: 11001100011001110010101110010110010001110011000110110011011000000002
- Hexadecimal: 0x663395CB2398D9B00
- Base-36: OV7WFP1TAVI0W
Squares and roots of 117830312246224198400
- 117830312246224198400 squared (1178303122462241984002) is 13883982484042692299470157477722562560000
- 117830312246224198400 cubed (1178303122462241984003) is 1635953991315857912699618793104074865558322543929851904000000
-
The
square root of 117830312246224198400 is 10854967169.2835717393 -
The
cube root of 117830312246224198400 is 4902515.8848265375
Scales and comparisons
How big is 117830312246224198400?- 117,830,312,246,224,198,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 117,830,312,246,224,198,400 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 117830312246224198400 cubic inches would be around 408543 feet tall.
Recreational maths with 117830312246224198400
- 117830312246224198400 backwards is 004891422642213038711
- The number of decimal digits it has is: 21
- The sum of 117830312246224198400's digits is 68
- More coming soon!
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"Number 117830312246224198400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 117830312246224198400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/117830312246224198400/
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The information we have on file for 117830312246224198400 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 117830312246224198400, math, Factors of 117830312246224198400, curriculum, school, college, exams, university, Prime factorization of 117830312246224198400, STEM, science, technology, engineering, physics, economics, calculator, one hundred seventeen quintillion, eight hundred thirty quadrillion, three hundred twelve trillion, two hundred forty-six billion, two hundred twenty-four million, one hundred ninety-eight thousand, four hundred.