120468213904766224640
120,468,213,904,766,224,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 120468213904766224640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
120468213904766224640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 120468213904766224640:
28 × 5 × 11 × 13 × 17 × 31 × 83 × 15046578551
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 17 × 31 × 83 × 15046578551)See below for interesting mathematical facts about the number 120468213904766224640 from the Numbermatics database.
Names of 120468213904766224640
- Cardinal: 120468213904766224640 can be written as One hundred twenty quintillion, four hundred sixty-eight quadrillion, two hundred thirteen trillion, nine hundred four billion, seven hundred sixty-six million, two hundred twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.2046821390476622464 × 1020
Factors of 120468213904766224640
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 15046578713
Divisors of 120468213904766224640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 31 32 34 40 44 52 55 62 64 65 68 80 83 85 88 104 110 124 128 130 136 143 155 160 166 170 176 187 208 220 221 248 256 260 272 286 310 320 332 340 341 352 374 403 415 416 440 442 496 520 527 544 572 620 640 664 680 682 704 715 748 806 830 832 880 884 913 935 992 1040 1054 1079 1088 1105 1144 1240 1280 1328 1360 1364 1408 1411 1430 1496 1612 1660 1664 1705 1760 1768 1826 1870 1984 2015 2080 2108 2158 2176 2210 2288 2431 2480 2573 2635 2656 2720 2728 2816 2822 2860 2992 3224 3320 3328 3410 3520 3536 3652 3740 3968 4030 4160 4216 4316 4352 4420 4433 4565 4576 4862 4960 5146 5270 5312 5395 5440 5456 5644 5720 5797 5984 6448 6640 6820 6851 7040 7055 7072 7304 7480 7936 8060 8320 8432 8632 8840 8866 9130 9152 9724 9920 10292 10540 10624 10790 10880 10912 11288 11440 11594 11869 11968 12155 12865 12896 13280 13640 13702 14080 14110 14144 14608 14960 15521 16120 16640 16864 17264 17680 17732 18260 18304 18343 19448 19840 20584 21080 21248 21580 21760 21824 22165 22576 22880 23188 23738 23936 24310 25730 25792 26560 27280 27404 28220 28288 28303 28985 29216 29920 31042 32240 33449 33728 34255 34528 35360 35464 36520 36608 36686 38896 39680 41168 42160 43160 43648 43741 44330 45152 45760 46376 47476 47872 48620 51460 51584 53120 54560 54808 56440 56576 56606 57970 58432 59345 59840 62084 64480 66898 67456 68510 69056 70720 70928 73040 73372 75361 77605 77792 82336 84320 86320 87296 87482 88660 90304 91520 91715 92752 94952 97240 102920 103168 106240 109120 109616 112880 113212 115940 116864 118690 119680 124168 128960 133796 134912 137020 138112 141440 141515 141856 146080 146744 150722 155210 155584 164672 167245 168640 172640 174964 177320 180608 183040 183430 185504 189904 194480 201773 205840 218240 218705 219232 225760 226424 231880 233728 237380 239360 248336 257920 267592 274040 276224 282880 283030 283712 292160 293488 301444 310420 311168 329344 334490 337280 345280 349928 354640 361216 366860 367939 371008 376805 379808 388960 403546 411680 436480 437410 438464 451520 452848 463760 474760 481151 496672 515840 535184 548080 566060 567424 568633 584320 586976 602888 620840 622336 658688 668980 674560 690560 699856 709280 733720 735878 742016 753610 759616 777920 807092 823360 874820 876928 903040 905696 927520 949520 962302 993344 1008865 1070368 1096160 1132120 1134848 1137266 1168640 1173952 1205776 1241680 1337960 1381120 1399712 1418560 1467440 1471756 1484032 1507220 1519232 1555840 1614184 1646720 1749640 1753856 1806080 1811392 1839695 1855040 1899040 1924604 1986688 2017730 2140736 2192320 2264240 2274532 2347904 2405755 2411552 2483360 2675920 2799424 2837120 2843165 2934880 2943512 3014440 3038464 3111680 3228368 3293440 3499280 3622784 3679390 3710080 3798080 3849208 3973376 4035460 4281472 4384640 4528480 4549064 4695808 4811510 4823104 4966720 5351840 5598848 5674240 5686330 5869760 5887024 6028880 6254963 6456736 6998560 7245568 7358780 7420160 7596160 7698416 8070920 8562944 8769280 9056960 9098128 9623020 9646208 9933440 10703680 11197696 11372660 11739520 11774048 12057760 12509926 12913472 13997120 14717560 15192320 15396832 16141840 18113920 18196256 19246040 19292416 19866880 21407360 22745320 23479040 23548096 24115520 25019852 25826944 27994240 29435120 30793664 31274815 32283680 36227840 36392512 38492080 42814720 45490640 47096192 48231040 50039704 51653888 55988480 58870240 61587328 62549630 64567360 72785024 76984160 90981280 94192384 96462080 100079408 117740480 123174656 125099260 129134720 145570048 153968320 181962560 200158816 235480960 250198520 258269440 307936640 363925120 400317632 470961920 500397040 615873280 727850240 800635264 1000794080 1601270528 2001588160 4003176320 8006352640 15046578551 30093157102 60186314204 75232892755 120372628408 150465785510 165512364061 195605521163 240745256816 255791835367 300931571020 331024728122 391211042326 466443935081 481490513632 511583670734 601863142040 662049456244 782422084652 827561820305 932887870162 962981027264 978027605815 1023167341468 1203726284080 1248866019733 1278959176835 1324098912488 1564844169304 1655123640610 1865775740324 1925962054528 1956055211630 2046334682936 2151660732793 2332219675405 2407452568160 2497732039466 2557918353670 2648197824976 2813710189037 3129688338608 3310247281220 3325293859771 3731551480648 3851924109056 3912110423260 4092669365872 4303321465586 4664439350810 4814905136320 4995464078932 5115836707340 5130883285891 5296395649952 5627420378074 6063771156053 6244330098665 6259376677216 6620494562440 6650587719542 7463102961296 7824220846520 7929546896377 8185338731744 8606642931172 9328878701620 9629810272640 9990928157864 10231673414680 10261766571782 10592791299904 10758303663965 11254840756148 12127542312106 12488660197330 12518753354432 13240989124880 13301175439084 13737526217063 14068550945185 14926205922592 15648441693040 15859093792754 16235258256529 16370677463488 16626469298855 17213285862344 18657757403240 19259620545280 19981856315728 20463346829360 20523533143564 21185582599808 21230722335461 21516607327930 22509681512296 24255084624212 24977320394660 25037506708864 25654416429455 26481978249760 26602350878168 27475052434126 28137101890370 29852411845184 30318855780265 31296883386080 31718187585508 32470516513058 32741354926976 33252938597710 34426571724688 36578232457481 37315514806480 38714846611723 39647734481885 39963712631456 40926693658720 41047066287128 42371165199616 42461444670922 43033214655860 45019363024592 48510169248424 49954640789320 50075013417728 51308832858910 52963956499520 53204701756336 54950104868252 56274203780740 59704823690368 60637711560530 62593766772160 63436375171016 64941033026116 65482709853952 66505877195420 66701482716583 68687631085315 68853143449376 73156464914962 74631029612960 77429693223446 79295468963770 79927425262912 81176291282645 81853387317440 82094132574256 84922889341844 86066429311720 87225015860147 90038726049184 97020338496848 99909281578640 102617665717820 103084109652901 105927912999040 106153611677305 106409403512672 109900209736504 112548407561480 119409647380736 121275423121060 125187533544320 126872750342032 129882066052232 133011754390840 133402965433166 137375262170630 137706286898752 146312929829924 149262059225920 154859386446892 158590937927540 159854850525824 162352582565290 163706774634880 164188265148512 169845778683688 172132858623440 174450031720294 178587840821819 180077452098368 182891162287405 193574233058615 194040676993696 199818563157280 205235331435640 206168219305802 211855825998080 212307223354610 212818807025344 219800419473008 225096815122960 233537945690071 242550846242120 250375067088640 253745500684064 259764132104464 266023508781680 266805930866332 274750524341260 275412573797504 275999390360993 292625859659848 298524118451840 309718772893784 317181875855080 319709701051648 324705165130580 327413549269760 328376530297024 333507413582915 339691557367376 344265717246880 348900063440588 357175681643638 360154904196736 365782324574810 387148466117230 388081353987392 399637126314560 410470662871280 412336438611604 424614446709220 425637614050688 425863312728953 436125079300735 439600838946016 450193630245920 467075891380142 485101692484240 503293005952399 507491001368128 515420548264505 519528264208928 532047017563360 533611861732664 549501048682520 550825147595008 551998780721986 585251719319696 597048236903680 619437545787568 634363751710160 649410330261160 656753060594048 658152392399291 667014827165830 679383114734752 688531434493760 697800126881176 714351363287276 720309808393472 731564649149620 774296932234460 776162707974784 799274252629120 820941325742560 824672877223208 849228893418440 851275228101376 851726625457906 872250158601470 879201677892032 892939204109095 900387260491840 934151782760284 970203384968480 1006586011904798 1014982002736256 1030841096529010 1039056528417856 1064094035126720 1067223723465328 1099002097365040 1103997561443972 1133925206181911 1167689728450355 1170503438639392 1238875091575136 1268727503420320 1298820660522320 1313506121188096 1316304784798582 1334029654331660 1358766229469504 1377062868987520 1379996951804965 1395600253762352 1428702726574552 1463129298299240 1548593864468920 1552325415949568 1598548505258240 1641882651485120 1649345754446416 1698457786836880 1703453250915812 1744500317202940 1758403355784064 1785878408218190 1800774520983680 1868303565520568 1940406769936960 2013172023809596 2029964005472512 2061682193058020 2078113056835712 2128188070253440 2129316563644765 2134447446930656 2198004194730080 2207995122887944 2267850412363822 2335379456900710 2341006877278784 2477750183150272 2516465029761995 2537455006840640 2597641321044640 2632609569597164 2668059308663320 2717532458939008 2754125737975040 2759993903609930 2791200507524704 2857405453149104 2926258596598480 3035993293970923 3097187728937840 3283765302970240 3290761961996455 3298691508892832 3396915573673760 3406906501831624 3489000634405880 3516806711568128 3571756816436380 3601549041967360 3736607131041136 3880813539873920 4026344047619192 4123364386116040 4156226113671424 4256376140506880 4258633127289530 4268894893861312 4396008389460160 4415990245775888 4535700824727644 4670758913801420 4682013754557568 4955500366300544 5032930059523990 5074910013681280 5195282642089280 5265219139194328 5336118617326640 5435064917878016 5519987807219860 5536223065476389 5582401015049408 5669626030909555 5714810906298208 5852517193196960 6071986587941846 6194375457875680 6567530605940480 6581523923992910 6597383017785664 6793831147347520 6813813003663248 6978001268811760 7143513632872760 7239676316392201 7473214262082272 7761627079747840 8052688095238384 8246728772232080 8517266254579060 8537789787722624 8555981101190783 8792016778920320 8831980491551776 9071401649455288 9341517827602840 9364027509115136 9911000732601088 10065860119047980 10149820027362560 10390565284178560 10530438278388656 10672237234653280 11039975614439720 11072446130952778 11164802030098816 11339252061819110 11429621812596416 11705034386393920 12143973175883692 12388750915751360 13163047847985820 13194766035571328 13587662294695040 13627626007326496 13956002537623520 14287027265745520 14479352632784402 14946428524164544 15179966469854615 16105376190476768 16493457544464160 17034532509158120 17075579575445248 17111962202381566 17584033557840640 17663960983103552 18142803298910576 18683035655205680 20131720238095960 20781130568357120 21060876556777312 21344474469306560 22079951228879440 22144892261905556 22329604060197632 22678504123638220 22859243625192832 23410068772787840 24287946351767384 24777501831502720 26326095695971640 26389532071142656 27175324589390080 27255252014652992 27681115327381945 27912005075247040 28574054531491040 28958705265568804 29892857048329088 30359932939709230 32210752380953536 32986915088928320 34069065018316240 34223924404763132 35327921966207104 36198381581961005 36285606597821152 37366071310411360 40263440476191920 42121753113554624 42688948938613120 42779905505953915 44159902457758880 44289784523811112 45357008247276440 45718487250385664 46820137545575680 48575892703534768 49555003663005440 52652191391943280 54510504029305984 55362230654763890 55824010150494080 57148109062982080 57917410531137608 59785714096658176 60719865879418460 64421504761907072 65973830177856640 68138130036632480 68447848809526264 70655843932414208 72396763163922010 72571213195642304 74732142620822720 80526880952383840 84243506227109248 85377897877226240 85559811011907830 88319804915517760 88579569047622224 90714016494552880 94115792113098613 97151785407069536 105304382783886560 109021008058611968 110724461309527780 111648020300988160 114296218125964160 115834821062275216 121439731758836920 128843009523814144 131947660355713280 136276260073264960 136895697619052528 144793526327844020 145142426391284608 149464285241645440 161053761904767680 168487012454218496 171119622023815660 176639609831035520 177159138095244448 181428032989105760 188231584226197226 194303570814139072 210608765567773120 221448922619055560 228592436251928320 231669642124550432 242879463517673840 272552520146529920 273791395238105056 289587052655688040 290284852782569216 298928570483290880 322107523809535360 342239244047631320 353279219662071040 354318276190488896 362856065978211520 376463168452394452 388607141628278144 421217531135546240 442897845238111120 463339284249100864 470578960565493065 485758927035347680 545105040293059840 547582790476210112 579174105311376080 644215047619070720 684478488095262640 708636552380977792 725712131956423040 752926336904788904 777214283256556288 842435062271092480 885795690476222240 926678568498201728 941157921130986130 971517854070695360 1095165580952420224 1158348210622752160 1368956976190525280 1417273104761955584 1451424263912846080 1505852673809577808 1771591380952444480 1853357136996403456 1882315842261972260 1943035708141390720 2190331161904840448 2316696421245504320 2737913952381050560 3011705347619155616 3543182761904888960 3764631684523944520 3886071416282781440 4633392842491008640 5475827904762101120 6023410695238311232 7086365523809777920 7529263369047889040 9266785684982017280 10951655809524202240 12046821390476622464 15058526738095778080 24093642780953244928 30117053476191556160 60234106952383112320 120468213904766224640
- Sum of all divisors σ(n): 374991098381669597184
- Sum of proper divisors (its aliquot sum) s(n): 254522884476903372544
- 120468213904766224640 is an abundant number, because the sum of its proper divisors (254522884476903372544) is greater than itself. Its abundance is 134054670572137147904
Bases of 120468213904766224640
- Binary: 11010000111110101010001001001000111010001110101110101001001000000002
- Hexadecimal: 0x687D51247475D4900
- Base-36: PF9E9SI64AYGW
Squares and roots of 120468213904766224640
- 120468213904766224640 squared (1204682139047662246402) is 14512590561404510348876657889318943129600
- 120468213904766224640 cubed (1204682139047662246403) is 1748305864063569903857234457559547889411510561003058233344000
-
The
square root of 120468213904766224640 is 10975801287.5947341761 -
The
cube root of 120468213904766224640 is 4938830.9054217809
Scales and comparisons
How big is 120468213904766224640?- 120,468,213,904,766,224,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 120,468,213,904,766,224,640 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 120468213904766224640 cubic inches would be around 411569.2 feet tall.
Recreational maths with 120468213904766224640
- 120468213904766224640 backwards is 046422667409312864021
- The number of decimal digits it has is: 21
- The sum of 120468213904766224640's digits is 77
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 120468213904766224640 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 120468213904766224640 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/120468213904766224640/
Chicago style:
Numbermatics. 2024. "Number 120468213904766224640 - Facts about the integer". https://numbermatics.com/n/120468213904766224640/
The information we have on file for 120468213904766224640 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 120468213904766224640, math, Factors of 120468213904766224640, curriculum, school, college, exams, university, Prime factorization of 120468213904766224640, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty quintillion, four hundred sixty-eight quadrillion, two hundred thirteen trillion, nine hundred four billion, seven hundred sixty-six million, two hundred twenty-four thousand, six hundred forty.