13420854908824396800
13,420,854,908,824,396,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13420854908824396800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
13420854908824396800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13420854908824396800:
210 × 3 × 52 × 13 × 421 × 60901 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 421 × 60901 × 524287)See below for interesting mathematical facts about the number 13420854908824396800 from the Numbermatics database.
Names of 13420854908824396800
- Cardinal: 13420854908824396800 can be written as Thirteen quintillion, four hundred twenty quadrillion, eight hundred fifty-four trillion, nine hundred eight billion, eight hundred twenty-four million, three hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34208549088243968 × 1019
Factors of 13420854908824396800
Divisors of 13420854908824396800
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 256 260 300 312 320 325 384 390 400 416 421 480 512 520 600 624 640 650 768 780 800 832 842 960 975 1024 1040 1200 1248 1263 1280 1300 1536 1560 1600 1664 1684 1920 1950 2080 2105 2400 2496 2526 2560 2600 3072 3120 3200 3328 3368 3840 3900 4160 4210 4800 4992 5052 5120 5200 5473 6240 6315 6400 6656 6736 7680 7800 8320 8420 9600 9984 10104 10400 10525 10946 12480 12630 12800 13312 13472 15360 15600 16419 16640 16840 19200 19968 20208 20800 21050 21892 24960 25260 25600 26944 27365 31200 31575 32838 33280 33680 38400 39936 40416 41600 42100 43784 49920 50520 53888 54730 60901 62400 63150 65676 66560 67360 76800 80832 82095 83200 84200 87568 99840 101040 107776 109460 121802 124800 126300 131352 134720 136825 161664 164190 166400 168400 175136 182703 199680 202080 215552 218920 243604 249600 252600 262704 269440 273650 304505 323328 328380 332800 336800 350272 365406 404160 410475 431104 437840 487208 499200 505200 524287 525408 538880 547300 609010 646656 656760 673600 700544 730812 791713 808320 820950 875680 913515 974416 998400 1010400 1048574 1050816 1077760 1094600 1218020 1293312 1313520 1347200 1401088 1461624 1522525 1572861 1583426 1616640 1641900 1751360 1827030 1948832 2020800 2097148 2101632 2155520 2189200 2375139 2436040 2621435 2627040 2694400 2802176 2923248 3045050 3145722 3166852 3233280 3283800 3502720 3654060 3897664 3958565 4041600 4194296 4203264 4378400 4567575 4750278 4872080 5242870 5254080 5388800 5604352 5846496 6090100 6291444 6333704 6466560 6567600 6815731 7005440 7308120 7795328 7864305 7917130 8083200 8388592 8406528 8756800 9135150 9500556 9744160 10485740 10508160 10777600 11692992 11875695 12180200 12582888 12667408 13107175 13135200 13631462 14010880 14616240 15590656 15728610 15834260 16166400 16777184 16813056 17513600 18270300 19001112 19488320 19792825 20447193 20971480 21016320 23385984 23751390 24360400 25165776 25334816 25639321 26214350 26270400 27262924 28021760 29232480 31181312 31457220 31668520 32332800 33554368 34078655 35027200 36540600 38002224 38976640 39321525 39585650 40894386 41942960 42032640 46771968 47502780 48720800 50331552 50669632 51278642 52428700 52540800 54525848 58464960 59378475 62362624 62914440 63337040 67108736 68157310 70054400 73081200 76004448 76917963 77953280 78643050 79171300 81788772 83885920 84065280 93543936 95005560 97441600 100663104 101339264 102235965 102557284 104857400 105081600 109051696 116929920 118756950 125828880 126674080 128196605 134217472 136314620 140108800 146162400 152008896 153835926 155906560 157286100 158342600 163577544 167771840 170393275 187087872 190011120 194883200 201326208 202678528 204471930 205114568 209714800 210163200 218103392 220724827 233859840 237513900 251657760 253348160 256393210 268434944 272629240 292324800 304017792 307671852 311813120 314572200 316685200 327155088 333311173 335543680 340786550 380022240 384589815 389766400 402652416 405357056 408943860 410229136 419429600 420326400 436206784 441449654 467719680 475027800 503315520 506696320 511179825 512786420 536869888 545258480 584649600 608035584 615343704 629144400 633370400 640983025 654310176 662174481 666622346 671087360 681573100 760044480 769179630 779532800 805304832 810714112 817887720 820458272 838859200 872413568 882899308 935439360 950055600 999933519 1006631040 1013392640 1022359650 1025572840 1090516960 1103624135 1169299200 1216071168 1230687408 1258288800 1266740800 1281966050 1308620352 1324348962 1333244692 1342174720 1363146200 1520088960 1538359260 1559065600 1610609664 1635775440 1640916544 1666555865 1677718400 1744827136 1765798616 1900111200 1922949075 1999867038 2013262080 2026785280 2044719300 2051145680 2181033920 2207248270 2338598400 2432142336 2461374816 2516577600 2533481600 2563932100 2617240704 2648697924 2666489384 2684349440 2726292400 2869422751 3040177920 3076718520 3271550880 3281833088 3310872405 3333111730 3355436800 3489654272 3531597232 3800222400 3845898150 3999734076 4026524160 4053570560 4089438600 4102291360 4362067840 4414496540 4677196800 4922749632 4999667595 5033155200 5066963200 5127864200 5234481408 5297395848 5332978768 5452584800 5518120675 5738845502 6080355840 6153437040 6543101760 6563666176 6621744810 6666223460 6710873600 6979308544 7063194464 7600444800 7691796300 7999468152 8053048320 8178877200 8204582720 8332779325 8608268253 8724135680 8828993080 9845499264 9999335190 10066310400 10133926400 10255728400 10468962816 10594791696 10665957536 10905169600 11036241350 11477691004 12160711680 12306874080 13086203520 13127332352 13243489620 13332446920 13421747200 14126388928 14347113755 15200889600 15383592600 15998936304 16357754400 16409165440 16554362025 16665558650 17216536506 17448271360 17657986160 19690998528 19998670380 20132620800 20267852800 20511456800 20937925632 21189583392 21331915072 21810339200 22072482700 22955382008 24613748160 24998337975 26172407040 26254664704 26486979240 26664893840 28252777856 28694227510 30401779200 30767185200 31929602587 31997872608 32715508800 32818330880 33108724050 33331117300 34433073012 34896542720 35315972320 39381997056 39997340760 40265241600 41022913600 42379166784 42663830144 43041341265 43620678400 44144965400 45910764016 49227496320 49996675950 52344814080 52973958480 53329787680 56505555712 57388455020 60803558400 61534370400 63859205174 63995745216 65431017600 65636661760 66217448100 66662234600 68866146024 70631944640 71735568775 78763994112 79994681520 82045827200 84758333568 85327660288 86082682530 87241356800 88289930800 91821528032 95788807761 98454992640 99993351900 104689628160 105947916960 106659575360 113011111424 114776910040 123068740800 127718410348 127991490432 130862035200 131273323520 132434896200 133324469200 137732292048 141263889280 143471137550 159648012935 159989363040 164091654400 169516667136 170655320576 172165365060 174482713600 176579861600 183643056064 191577615522 196909985280 199986703800 211895833920 213319150720 215206706325 226022222848 229553820080 246137481600 255436820696 255982980864 261724070400 264869792400 266648938400 275464584096 282527778560 286942275100 319296025870 319978726080 328183308800 339033334272 341310641152 344330730120 353159723200 367286112128 383155231044 393819970560 399973407600 415084833631 423791667840 426638301440 430413412650 459107640160 478944038805 492274963200 510873641392 511965961728 523448140800 529739584800 533297876800 550929168192 565055557120 573884550200 638592051740 639957452160 656366617600 678066668544 688661460240 706319446400 734572224256 766310462088 798240064675 799946815200 830169667262 847583335680 853276602880 860826825300 918215280320 957888077610 984549926400 1021747282784 1023931923456 1059479169600 1066595753600 1101858336384 1130111114240 1147769100400 1245254500893 1277184103480 1279914904320 1377322920480 1412638892800 1469144448512 1532620924176 1596480129350 1599893630400 1660339334524 1695166671360 1706553205760 1721653650600 1836430560640 1915776155220 1969099852800 2043494565568 2075424168155 2118958339200 2133191507200 2203716672768 2295538200800 2394720194025 2490509001786 2554368206960 2559829808640 2754645840960 2825277785600 2938288897024 3065241848352 3192960258700 3199787260800 3320678669048 3390333342720 3443307301200 3672861121280 3831552310440 4086989131136 4150848336310 4237916678400 4266383014400 4407433345536 4591076401600 4789440388050 4981018003572 5108736413920 5119659617280 5509291681920 5650555571200 6130483696704 6226272504465 6385920517400 6399574521600 6641357338096 6886614602400 7345722242560 7663104620880 8173978262272 8301696672620 8475833356800 8532766028800 8814866691072 9182152803200 9578880776100 9962036007144 10217472827840 10377120840775 11018583363840 12260967393408 12452545008930 12771841034800 12799149043200 13282714676192 13442362689127 13773229204800 14691444485120 15326209241760 16347956524544 16603393345240 16951666713600 18364305606400 19157761552200 19924072014288 20434945655680 20754241681550 22037166727680 24521934786816 24905090017860 25543682069600 25598298086400 26565429352384 26884725378254 27546458409600 30652418483520 31131362522325 32695913049088 33206786690480 36728611212800 38315523104400 39848144028576 40327088067381 40869891311360 41508483363100 44074333455360 49043869573632 49810180035720 51087364139200 53130858704768 53769450756508 55092916819200 61304836967040 62262725044650 66413573380960 67211813445635 73457222425600 76631046208800 79696288057152 80654176134762 81739782622720 83016966726200 98087739147264 99620360071440 102174728278400 106261717409536 107538901513016 110185833638400 122609673934080 124525450089300 132827146761920 134423626891270 153262092417600 159392576114304 161308352269524 163479565245440 166033933452400 174750714958651 199240720142880 201635440336905 204349456556800 212523434819072 215077803026032 220371667276800 245219347868160 249050900178600 265654293523840 268847253782540 306524184835200 318785152228608 322616704539048 332067866904800 336059067228175 349501429917302 398481440285760 403270880673810 408698913113600 425046869638144 430155606052064 490438695736320 498101800357200 524252144875953 531308587047680 537694507565080 613048369670400 637570304457216 645233409078096 664135733809600 672118134456350 699002859834604 796962880571520 806541761347620 817397826227200 860311212104128 873753574793255 996203600714400 1008177201684525 1048504289751906 1062617174095360 1075389015130160 1226096739340800 1275140608914432 1290466818156192 1328271467619200 1344236268912700 1398005719669208 1593925761143040 1613083522695240 1720622424208256 1747507149586510 1992407201428800 2016354403369050 2097008579503812 2125234348190720 2150778030260320 2452193478681600 2580933636312384 2621260724379765 2656542935238400 2688472537825400 2796011439338416 3187851522286080 3226167045390480 3441244848416512 3495014299173020 3984814402857600 4032708806738100 4194017159007624 4301556060520640 4368767873966275 5161867272624768 5242521448759530 5313085870476800 5376945075650800 5592022878676832 6375703044572160 6452334090780960 6882489696833024 6990028598346040 7969628805715200 8065417613476200 8388034318015248 8603112121041280 8737535747932550 10323734545249536 10485042897519060 10626171740953600 10753890151301600 11184045757353664 12904668181561920 13106303621898825 13764979393666048 13980057196692080 15939257611430400 16130835226952400 16776068636030496 17206224242082560 17475071495865100 20647469090499072 20970085795038120 21507780302603200 22368091514707328 25809336363123840 26212607243797650 27960114393384160 31878515222860800 32261670453904800 33552137272060992 34412448484165120 34950142991730200 41294938180998144 41940171590076240 43015560605206400 44736183029414656 51618672726247680 52425214487595300 55920228786768320 64523340907809600 67104274544121984 68824896968330240 69900285983460400 83880343180152480 86031121210412800 89472366058829312 103237345452495360 104850428975190600 111840457573536640 129046681815619200 134208549088243968 139800571966920800 167760686360304960 172062242420825600 178944732117658624 206474690904990720 209700857950381200 223680915147073280 258093363631238400 268417098176487936 279601143933841600 335521372720609920 344124484841651200 419401715900762400 447361830294146560 516186727262476800 536834196352975872 559202287867683200 671042745441219840 838803431801524800 894723660588293120 1032373454524953600 1118404575735366400 1342085490882439680 1677606863603049600 2236809151470732800 2684170981764879360 3355213727206099200 4473618302941465600 6710427454412198400 13420854908824396800
- Sum of all divisors σ(n): 47883014852180967424
- Sum of proper divisors (its aliquot sum) s(n): 34462159943356570624
- 13420854908824396800 is an abundant number, because the sum of its proper divisors (34462159943356570624) is greater than itself. Its abundance is 21041305034532173824
Bases of 13420854908824396800
- Binary: 10111010010000000111010001101110110011101000100100100100000000002
- Hexadecimal: 0xBA40746ECE892400
- Base-36: 2TYR40E0SYMTC
Squares and roots of 13420854908824396800
- 13420854908824396800 squared (134208549088243968002) is 180119346483715908143518618883850240000
- 13420854908824396800 cubed (134208549088243968003) is 2417355615430221000744885671419313665589243629535232000000
-
The
square root of 13420854908824396800 is 3663448499.5458031961 -
The
cube root of 13420854908824396800 is 2376439.3068535647
Scales and comparisons
How big is 13420854908824396800?- 13,420,854,908,824,396,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,420,854,908,824,396,800 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 13420854908824396800 cubic inches would be around 198036.6 feet tall.
Recreational maths with 13420854908824396800
- 13420854908824396800 backwards is 00869342880945802431
- The number of decimal digits it has is: 20
- The sum of 13420854908824396800's digits is 84
- More coming soon!
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The information we have on file for 13420854908824396800 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 13420854908824396800, math, Factors of 13420854908824396800, curriculum, school, college, exams, university, Prime factorization of 13420854908824396800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred twenty quadrillion, eight hundred fifty-four trillion, nine hundred eight billion, eight hundred twenty-four million, three hundred ninety-six thousand, eight hundred.