48438245261614141440
48,438,245,261,614,141,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 48438245261614141440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1040 divisors.
48438245261614141440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and forty divisors.
Prime factorization of 48438245261614141440:
212 × 34 × 5 × 13 × 3847 × 583858883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 3847 × 583858883)See below for interesting mathematical facts about the number 48438245261614141440 from the Numbermatics database.
Names of 48438245261614141440
- Cardinal: 48438245261614141440 can be written as Forty-eight quintillion, four hundred thirty-eight quadrillion, two hundred forty-five trillion, two hundred sixty-one billion, six hundred fourteen million, one hundred forty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.843824526161414144 × 1019
Factors of 48438245261614141440
Divisors of 48438245261614141440
- Number of divisors d(n): 1040
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 180 192 195 208 216 234 240 256 260 270 288 312 320 324 351 360 384 390 405 416 432 468 480 512 520 540 576 585 624 640 648 702 720 768 780 810 832 864 936 960 1024 1040 1053 1080 1152 1170 1248 1280 1296 1404 1440 1536 1560 1620 1664 1728 1755 1872 1920 2048 2080 2106 2160 2304 2340 2496 2560 2592 2808 2880 3072 3120 3240 3328 3456 3510 3744 3840 3847 4096 4160 4212 4320 4608 4680 4992 5120 5184 5265 5616 5760 6144 6240 6480 6656 6912 7020 7488 7680 7694 8320 8424 8640 9216 9360 9984 10240 10368 10530 11232 11520 11541 12288 12480 12960 13312 13824 14040 14976 15360 15388 16640 16848 17280 18432 18720 19235 19968 20480 20736 21060 22464 23040 23082 24960 25920 26624 27648 28080 29952 30720 30776 33280 33696 34560 34623 36864 37440 38470 39936 41472 42120 44928 46080 46164 49920 50011 51840 53248 55296 56160 57705 59904 61440 61552 66560 67392 69120 69246 74880 76940 79872 82944 84240 89856 92160 92328 99840 100022 103680 103869 110592 112320 115410 119808 123104 133120 134784 138240 138492 149760 150033 153880 159744 165888 168480 173115 179712 184320 184656 199680 200044 207360 207738 224640 230820 239616 246208 250055 266240 269568 276480 276984 299520 300066 307760 311607 331776 336960 346230 359424 369312 399360 400088 414720 415476 449280 450099 461640 479232 492416 500110 519345 539136 552960 553968 599040 600132 615520 623214 673920 692460 718848 738624 750165 798720 800176 829440 830952 898560 900198 923280 984832 1000220 1038690 1078272 1107936 1198080 1200264 1231040 1246428 1347840 1350297 1384920 1437696 1477248 1500330 1558035 1600352 1658880 1661904 1797120 1800396 1846560 1969664 2000440 2077380 2156544 2215872 2250495 2396160 2400528 2462080 2492856 2695680 2700594 2769840 2954496 3000660 3116070 3200704 3323808 3594240 3600792 3693120 3939328 4000880 4050891 4154760 4313088 4431744 4500990 4801056 4924160 4985712 5391360 5401188 5539680 5908992 6001320 6232140 6401408 6647616 6751485 7188480 7201584 7386240 7878656 8001760 8101782 8309520 8863488 9001980 9602112 9848320 9971424 10782720 10802376 11079360 11817984 12002640 12464280 12802816 13295232 13502970 14403168 14772480 15757312 16003520 16203564 16619040 17726976 18003960 19204224 19696640 19942848 20254455 21565440 21604752 22158720 23635968 24005280 24928560 25605632 26590464 27005940 28806336 29544960 32007040 32407128 33238080 35453952 36007920 38408448 39393280 39885696 40508910 43209504 44317440 47271936 48010560 49857120 51211264 53180928 54011880 57612672 59089920 64014080 64814256 66476160 70907904 72015840 76816896 78786560 79771392 81017820 86419008 88634880 96021120 99714240 102422528 106361856 108023760 115225344 118179840 128028160 129628512 132952320 141815808 144031680 153633792 159542784 162035640 172838016 177269760 192042240 199428480 204845056 212723712 216047520 230450688 236359680 256056320 259257024 265904640 288063360 307267584 319085568 324071280 345676032 354539520 384084480 398856960 425447424 432095040 460901376 512112640 518514048 531809280 576126720 583858883 614535168 638171136 648142560 691352064 709079040 768168960 797713920 864190080 921802752 1024225280 1037028096 1063618560 1152253440 1167717766 1276342272 1296285120 1382704128 1536337920 1595427840 1728380160 1751576649 1843605504 2074056192 2127237120 2304506880 2335435532 2592570240 2765408256 2919294415 3072675840 3190855680 3456760320 3503153298 4148112384 4609013760 4670871064 5185140480 5254729947 5530816512 5838588830 6381711360 6913520640 7006306596 7590165479 8296224768 8757883245 9218027520 9341742128 10370280960 10509459894 11677177660 13827041280 14012613192 15180330958 15764189841 16592449536 17515766490 18683484256 20740561920 21018919788 22770496437 23354355320 26273649735 27654082560 28025226384 30360661916 31528379682 35031532980 37366968512 37950827395 41481123840 42037839576 45540992874 46708710640 47292569523 52547299470 56050452768 60721323832 63056759364 68311489311 70063065960 74733937024 75901654790 78820949205 82962247680 84075679152 91081985748 93417421280 94585139046 105094598940 112100905536 113852482185 121442647664 126113518728 136622978622 140126131920 149467874048 151803309580 157641898410 168151358304 182163971496 186834842560 189170278092 204934467933 210189197880 224201811072 227704964370 236462847615 242885295328 252227037456 273245957244 280252263840 298935748096 303606619160 315283796820 336302716608 341557446555 364327942992 373669685120 378340556184 409868935866 420378395760 448403622144 455409928740 472925695230 485770590656 504454074912 546491914488 560504527680 597871496192 607213238320 614803403799 630567593640 672605433216 683114893110 728655885984 747339370240 756681112368 819737871732 840756791520 896807244288 910819857480 945851390460 971541181312 1008908149824 1024672339665 1092983828976 1121009055360 1195742992384 1214426476640 1229606807598 1261135187280 1345210866432 1366229786220 1457311771968 1494678740480 1513362224736 1639475743464 1681513583040 1793614488576 1821639714960 1891702780920 1943082362624 2017816299648 2049344679330 2185967657952 2242018110720 2246105122901 2391485984768 2428852953280 2459213615196 2522270374560 2690421732864 2732459572440 2914623543936 2989357480960 3026724449472 3074017018995 3278951486928 3363027166080 3587228977152 3643279429920 3783405561840 3886164725248 4035632599296 4098689358660 4371935315904 4484036221440 4492210245802 4857705906560 4918427230392 5044540749120 5380843465728 5464919144880 5829247087872 5978714961920 6053448898944 6148034037990 6557902973856 6726054332160 6738315368703 7174457954304 7286558859840 7566811123680 7772329450496 8071265198592 8197378717320 8743870631808 8968072442880 8984420491604 9715411813120 9836854460784 10089081498240 10761686931456 10929838289760 11230525614505 11658494175744 11957429923840 12106897797888 12296068075980 13115805947712 13452108664320 13476630737406 14573117719680 15133622247360 15544658900992 16142530397184 16394757434640 17487741263616 17936144885760 17968840983208 19430823626240 19673708921568 20178162996480 20214946106109 21523373862912 21859676579520 22461051229010 23316988351488 24213795595776 24592136151960 26231611895424 26904217328640 26953261474812 29146235439360 29199366597713 30267244494720 31089317801984 32285060794368 32789514869280 33691576843515 34975482527232 35872289771520 35937681966416 38861647252480 39347417843136 40356325992960 40429892212218 43719353159040 44922102458020 46633976702976 48427591191552 49184272303920 52463223790848 53808434657280 53906522949624 58292470878720 58398733195426 60534488989440 60644838318327 64570121588736 65579029738560 67383153687030 69950965054464 71875363932832 77723294504960 78694835686272 80712651985920 80859784424436 87438706318080 87598099793139 89844204916040 93267953405952 96855182383104 98368544607840 101074730530545 104926447581696 107616869314560 107813045899248 116584941757440 116797466390852 121068977978880 121289676636654 131158059477120 134766307374060 139901930108928 143750727865664 145996832988565 155446589009920 157389671372544 161425303971840 161719568848872 174877412636160 175196199586278 179688409832080 181934514954981 193710364766208 196737089215680 202149461061090 209852895163392 215626091798496 233169883514880 233594932781704 242137955957760 242579353273308 262316118954240 262794299379417 269532614748120 279803860217856 287501455731328 291993665977130 303224191591635 314779342745088 322850607943680 323439137697744 349754825272320 350392399172556 359376819664160 363869029909962 393474178431360 404298922122180 419705790326784 431252183596992 437990498965695 466339767029760 467189865563408 484275911915520 485158706546616 524632237908480 525588598758834 539065229496240 575002911462656 583987331954260 606448383183270 629558685490176 646878275395488 699509650544640 700784798345112 718753639328320 727738059819924 786948356862720 788382898138251 808597844244360 839411580653568 862504367193984 875980997931390 909672574774905 934379731126816 968551823831040 970317413093232 1049264475816960 1051177197517668 1078130458992480 1150005822925312 1167974663908520 1212896766366540 1259117370980352 1293756550790976 1313971496897085 1399019301089280 1401569596690224 1437507278656640 1455476119639848 1573896713725440 1576765796276502 1617195688488720 1725008734387968 1751961995862780 1819345149549810 1868759462253632 1940634826186464 2098528951633920 2102354395035336 2156260917984960 2300011645850624 2335949327817040 2365148694414753 2425793532733080 2518234741960704 2587513101581952 2627942993794170 2803139193380448 2875014557313280 2910952239279696 3147793427450880 3153531592553004 3234391376977440 3450017468775936 3503923991725560 3638690299099620 3737518924507264 3881269652372928 3941914490691255 4197057903267840 4204708790070672 4312521835969920 4600023291701248 4671898655634080 4730297388829506 4851587065466160 5175026203163904 5255885987588340 5606278386760896 5750029114626560 5821904478559392 6295586854901760 6307063185106008 6468782753954880 6900034937551872 7007847983451120 7277380598199240 7475037849014528 7762539304745856 7883828981382510 8409417580141344 8625043671939840 9200046583402496 9343797311268160 9460594777659012 9703174130932320 10350052406327808 10511771975176680 11212556773521792 11500058229253120 11643808957118784 11825743472073765 12591173709803520 12614126370212016 12937565507909760 13800069875103744 14015695966902240 14554761196398480 14950075698029056 15525078609491712 15767657962765020 16818835160282688 17250087343879680 18687594622536320 18921189555318024 19406348261864640 20700104812655616 21023543950353360 22425113547043584 23000116458506240 23287617914237568 23651486944147530 25228252740424032 25875131015819520 27600139750207488 28031391933804480 29109522392796960 29900151396058112 31050157218983424 31535315925530040 33637670320565376 34500174687759360 37375189245072640 37842379110636048 38812696523729280 41400209625311232 42047087900706720 44850227094087168 46000232917012480 46575235828475136 47302973888295060 50456505480848064 51750262031639040 56062783867608960 58219044785593920 59800302792116224 62100314437966848 63070631851060080 67275340641130752 69000349375518720 74750378490145280 75684758221272096 77625393047458560 82800419250622464 84094175801413440 89700454188174336 93150471656950272 94605947776590120 100913010961696128 103500524063278080 112125567735217920 116438089571187840 119600605584232448 124200628875933696 126141263702120160 134550681282261504 138000698751037440 149500756980290560 151369516442544192 155250786094917120 168188351602826880 179400908376348672 186300943313900544 189211895553180240 201826021923392256 207001048126556160 224251135470435840 232876179142375680 248401257751867392 252282527404240320 269101362564523008 299001513960581120 302739032885088384 310501572189834240 336376703205653760 358801816752697344 372601886627801088 378423791106360480 403652043846784512 414002096253112320 448502270940871680 465752358284751360 504565054808480640 538202725129046016 598003027921162240 605478065770176768 621003144379668480 672753406411307520 745203773255602176 756847582212720960 807304087693569024 897004541881743360 931504716569502720 1009130109616961280 1076405450258092032 1210956131540353536 1242006288759336960 1345506812822615040 1513695164425441920 1614608175387138048 1794009083763486720 1863009433139005440 2018260219233922560 2421912263080707072 2691013625645230080 3027390328850883840 3229216350774276096 3726018866278010880 4036520438467845120 4843824526161414144 5382027251290460160 6054780657701767680 8073040876935690240 9687649052322828288 12109561315403535360 16146081753871380480 24219122630807070720 48438245261614141440
- Sum of all divisors σ(n): 187044326048052240768
- Sum of proper divisors (its aliquot sum) s(n): 138606080786438099328
- 48438245261614141440 is an abundant number, because the sum of its proper divisors (138606080786438099328) is greater than itself. Its abundance is 90167835524823957888
Bases of 48438245261614141440
- Binary: 1010100000001101110011011101101101101110011100001001010000000000002
- Hexadecimal: 0x2A037376DB9C25000
- Base-36: A80ECWLQ5TS00
Squares and roots of 48438245261614141440
- 48438245261614141440 squared (484382452616141414402) is 2346263604024284825512704601388325273600
- 48438245261614141440 cubed (484382452616141414403) is 113648891900127032686700039631201461846872980492317097984000
-
The
square root of 48438245261614141440 is 6959758994.5065009729 -
The
cube root of 48438245261614141440 is 3645268.0347958473
Scales and comparisons
How big is 48438245261614141440?- 48,438,245,261,614,141,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,438,245,261,614,141,440 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 48438245261614141440 cubic inches would be around 303772.3 feet tall.
Recreational maths with 48438245261614141440
- 48438245261614141440 backwards is 04414141616254283484
- 48438245261614141440 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48438245261614141440's digits is 72
- More coming soon!
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"Number 48438245261614141440 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 48438245261614141440 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/48438245261614141440/
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The information we have on file for 48438245261614141440 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 48438245261614141440, math, Factors of 48438245261614141440, curriculum, school, college, exams, university, Prime factorization of 48438245261614141440, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, four hundred thirty-eight quadrillion, two hundred forty-five trillion, two hundred sixty-one billion, six hundred fourteen million, one hundred forty-one thousand, four hundred forty.