242214473828631450240
242,214,473,828,631,450,240 is an even composite number composed of five prime numbers multiplied together.
242214473828631450240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 242214473828631450240:
27 × 34 × 5 × 176 × 139132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 17 × 17 × 17 × 13913 × 13913)See below for interesting mathematical facts about the number 242214473828631450240 from the Numbermatics database.
Names of 242214473828631450240
- Cardinal: 242214473828631450240 can be written as Two hundred forty-two quintillion, two hundred fourteen quadrillion, four hundred seventy-three trillion, eight hundred twenty-eight billion, six hundred thirty-one million, four hundred fifty thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.4221447382863145024 × 1020
Factors of 242214473828631450240
Divisors of 242214473828631450240
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 128 135 136 144 153 160 162 170 180 192 204 216 240 255 270 272 288 289 306 320 324 340 360 384 405 408 432 459 480 510 540 544 576 578 612 640 648 680 720 765 810 816 864 867 918 960 1020 1080 1088 1152 1156 1224 1296 1360 1377 1440 1445 1530 1620 1632 1728 1734 1836 1920 2040 2160 2176 2295 2312 2448 2592 2601 2720 2754 2880 2890 3060 3240 3264 3456 3468 3672 4080 4320 4335 4590 4624 4896 4913 5184 5202 5440 5508 5760 5780 6120 6480 6528 6885 6936 7344 7803 8160 8640 8670 9180 9248 9792 9826 10368 10404 10880 11016 11560 12240 12960 13005 13770 13872 13913 14688 14739 15606 16320 17280 17340 18360 18496 19584 19652 20808 22032 23120 23409 24480 24565 25920 26010 27540 27744 27826 29376 29478 31212 32640 34680 36720 36992 39015 39304 41616 41739 44064 44217 46240 46818 48960 49130 51840 52020 55080 55488 55652 58752 58956 62424 69360 69565 73440 73695 78030 78608 83232 83478 83521 88128 88434 92480 93636 97920 98260 104040 110160 110976 111304 117045 117912 124848 125217 132651 138720 139130 146880 147390 156060 157216 166464 166956 167042 176256 176868 184960 187272 196520 208080 208695 220320 221085 222608 234090 235824 236521 249696 250434 250563 265302 277440 278260 293760 294780 312120 314432 332928 333912 334084 353736 374544 375651 393040 397953 416160 417390 417605 440640 442170 445216 468180 471648 473042 499392 500868 501126 530604 554880 556520 589560 624240 626085 628864 663255 667824 668168 707472 709563 749088 751302 751689 786080 795906 832320 834780 835210 881280 884340 890432 936360 943296 946084 998784 1001736 1002252 1061208 1113040 1126953 1179120 1182605 1248480 1252170 1252815 1326510 1335648 1336336 1414944 1419126 1419857 1498176 1502604 1503378 1572160 1591812 1664640 1669560 1670420 1768680 1780864 1872720 1878255 1886592 1892168 1989765 2003472 2004504 2122416 2128689 2226080 2253906 2255067 2358240 2365210 2496960 2504340 2505630 2653020 2671296 2672672 2829888 2838252 2839714 2996352 3005208 3006756 3144320 3183624 3339120 3340840 3537360 3547815 3745440 3756510 3758445 3784336 3979530 4006944 4009008 4020857 4244832 4257378 4259571 4452160 4507812 4510134 4716480 4730420 4993920 5008680 5011260 5306040 5342592 5345344 5634765 5659776 5676504 5679428 6010416 6013512 6367248 6386067 6678240 6681680 6765201 7074720 7095630 7099285 7490880 7513020 7516890 7568672 7959060 8013888 8018016 8041714 8489664 8514756 8519142 8904320 9015624 9020268 9432960 9460840 10017360 10022520 10612080 10643445 10690688 11269530 11275335 11353008 11358856 12020832 12027024 12062571 12734496 12772134 12778713 13356480 13363360 13530402 14149440 14191260 14198570 14981760 15026040 15033780 15137344 15918120 16027776 16036032 16083428 16979328 17029512 17038284 18031248 18040536 18921680 19158201 20034720 20045040 20104285 21224160 21286890 21297855 22539060 22550670 22706016 22717712 24041664 24054048 24125142 24137569 25468992 25544268 25557426 26712960 26726720 27060804 28298880 28382520 28397140 30052080 30067560 30274688 31836240 31930335 32072064 32166856 33826005 34059024 34076568 36062496 36081072 36187713 37843360 38316402 38336139 40069440 40090080 40208570 42448320 42573780 42595710 45078120 45101340 45412032 45435424 48083328 48108096 48250284 48275138 50937984 51088536 51114852 53453440 54121608 56765040 56794280 60104160 60135120 60312855 63672480 63860670 63893565 64333712 67652010 68118048 68153136 68354569 72124992 72162144 72375426 72412707 75686720 76632804 76672278 80138880 80180160 80417140 84896640 85147560 85191420 90156240 90202680 90824064 90870848 95791005 96216192 96500568 96550276 102177072 102229704 108243216 108563139 113530080 113588560 115008417 120208320 120270240 120625710 120687845 127344960 127721340 127787130 128667424 135304020 136236096 136306272 136709138 144249984 144324288 144750852 144825414 151373440 153265608 153344556 160360320 160834280 170295120 170382840 180312480 180405360 180938565 181741696 191582010 191680695 193001136 193100552 193571569 204354144 204459408 205063707 216486432 217126278 217238121 227060160 227177120 230016834 240416640 240540480 241251420 241375690 254689920 255442680 255574260 257334848 270608040 272472192 272612544 273418276 288648576 289501704 289650828 306531216 306689112 321668560 325689417 340590240 340765680 341772845 360624960 360810720 361877130 362063535 383164020 383361390 386002272 386201104 387143138 408708288 408918816 410127414 432972864 434252556 434476242 454120320 454354240 460033668 481080960 482502840 482751380 510885360 511148520 514669696 541216080 542815695 545225088 546836552 575042085 579003408 579301656 580714707 613062432 613378224 615191121 643337120 651378834 651714363 681180480 681531360 683545690 721249920 721621440 723754260 724127070 766328040 766722780 772004544 772402208 774286276 817416576 817837632 820254828 865945728 868505112 868952484 908708480 920067336 965005680 965502760 967857845 1021770720 1022297040 1025318535 1082432160 1085631390 1086190605 1093673104 1150084170 1158006816 1158603312 1161429414 1162027673 1226124864 1226756448 1230382242 1286674240 1302757668 1303428726 1362360960 1363062720 1367091380 1443242880 1447508520 1448254140 1532656080 1533445560 1544009088 1544804416 1548572552 1628447085 1635675264 1640509656 1737010224 1737904968 1742144121 1840134672 1845573363 1930011360 1931005520 1935715690 1955143089 2043541440 2044594080 2050637070 2164864320 2171262780 2172381210 2187346208 2300168340 2316013632 2317206624 2322858828 2324055346 2452249728 2453512896 2460764484 2573348480 2605515336 2606857452 2726125440 2734182760 2895017040 2896508280 2903573535 3065312160 3066891120 3075955605 3089608832 3097145104 3256894170 3258571815 3281019312 3290716673 3474020448 3475809936 3484288242 3486083019 3680269344 3691146726 3860022720 3862011040 3871431380 3910286178 4087082880 4089188160 4101274140 4329728640 4342525560 4344762420 4374692416 4600336680 4632027264 4634413248 4645717656 4648110692 4907025792 4921528968 5211030672 5213714904 5226432363 5468365520 5536720089 5790034080 5793016560 5807147070 5810138365 6130624320 6133782240 6151911210 6194290208 6513788340 6517143630 6562038624 6581433346 6948040896 6951619872 6968576484 6972166038 7360538688 7382293452 7720045440 7724022080 7742862760 7820572356 8178376320 8202548280 8685051120 8689524840 8710720605 8749384832 9200673360 9227866815 9268826496 9291435312 9296221384 9775715445 9843057936 9872150019 10422061344 10427429808 10452864726 10458249057 10936731040 11073440178 11580068160 11586033120 11614294140 11620276730 12261248640 12267564480 12303822420 12388580416 13027576680 13034287260 13124077248 13162866692 13896081792 13903239744 13937152968 13944332076 14721077376 14764586904 15448044160 15485725520 15641144712 15679297089 16405096560 16453583365 17370102240 17379049680 17421441210 17430415095 18401346720 18455733630 18582870624 18592442768 19551430890 19686115872 19744300038 19754470441 20844122688 20854859616 20905729452 20916498114 21873462080 22146880356 23160136320 23172066240 23228588280 23240553460 24535128960 24607644840 24777160832 26055153360 26068574520 26132161815 26248154496 26325733384 27683600445 27806479488 27874305936 27888664152 29529173808 29616450057 30971451040 31282289424 31358594178 31374747171 32810193120 32907166730 34740204480 34758099360 34842882420 34860830190 36802693440 36911467260 37165741248 37184885536 39102861780 39372231744 39488600076 39508940882 41688245376 41709719232 41811458904 41832996228 43746924160 44293760712 46344132480 46457176560 46481106920 49215289680 49360750095 52110306720 52137149040 52264323630 52291245285 52651466768 55367200890 55748611872 55777328304 55942183441 59058347616 59232900114 59263411323 61942902080 62564578848 62717188356 62749494342 65620386240 65814333460 69480408960 69516198720 69685764840 69721660380 73605386880 73822934520 74331482496 74369771072 78205723560 78396485445 78744463488 78977200152 79017881764 83419438464 83622917808 83665992456 88587521424 88849350171 92914353120 92962213840 94124241513 98430579360 98721500190 98772352205 104220613440 104274298080 104528647260 104582490570 105302933536 110734401780 111497223744 111554656608 111884366882 118116695232 118465800228 118526822646 123885804160 125129157696 125434376712 125498988684 131240772480 131628666920 139032397440 139371529680 139443320760 147645869040 148082250285 148739542144 156411447120 156792970890 156873735855 157954400304 158035763528 167245835616 167331984912 167826550323 177175042848 177698700342 177790233969 185828706240 185924427680 188248483026 196861158720 197443000380 197544704410 208441226880 208548596160 209057294520 209164981140 210605867072 221468803560 222994447488 223109313216 223768733764 236233390464 236931600456 237053645292 250258315392 250868753424 250997977368 263257333840 266548050513 278743059360 278886641520 279710917205 295291738080 296164500570 296317056615 312822894240 313585941780 313747471710 315908800608 316071527056 334491671232 334663969824 335653100646 335825997497 354350085696 355397400684 355580467938 371657412480 371848855360 376496966052 393722317440 394886000760 395089408820 417097192320 418114589040 418329962280 421211734144 442937607120 444246750855 446218626432 447537467528 470621207565 473863200912 474107290584 501737506848 501995954736 503479650969 526514667680 533096101026 533370701907 557486118720 557773283040 559421834410 590583476160 592329001140 592634113230 625645788480 627171883560 627494943420 631817601216 632143054112 668983342464 669327939648 671306201292 671651994994 708700171392 710794801368 711160935876 743697710720 752993932104 789772001520 790178817640 836229178080 836659924560 839132751615 885875214240 888493501710 888951169845 895074935056 941242415130 947726401824 948214581168 951017118497 1003475013696 1003991909472 1006959301938 1007477992491 1053029335360 1066192202052 1066741403814 1114972237440 1115546566080 1118843668820 1181166952320 1184658002280 1185268226460 1251291576960 1254343767120 1254989886840 1263635202432 1264286108224 1332740252565 1338655879296 1342612402584 1343303989988 1421589602736 1422321871752 1505987864208 1510438952907 1579544003040 1580357635280 1600112105721 1672458356160 1673319849120 1678265503230 1679129987485 1771750428480 1776987003420 1777902339690 1790149870112 1882484830260 1895452803648 1896429162336 1902034236994 2006950027392 2007983818944 2013918603876 2014955984982 2106058670720 2132384404104 2133482807628 2231093132160 2237687337640 2369316004560 2370536452920 2508687534240 2509979773680 2517398254845 2528572216448 2665480505130 2666853509535 2685224805168 2686607979976 2843179205472 2844643743504 2853051355491 3011975728416 3020877905814 3022433977473 3159088006080 3160715270560 3200224211442 3344916712320 3346639698240 3356531006460 3358259974970 3543500856960 3553974006840 3555804679380 3580299740224 3764969660520 3790905607296 3792858324672 3804068473988 4015967637888 4027837207752 4029911969964 4264768808208 4266965615256 4475374675280 4531316858721 4738632009120 4741072905840 4755085592485 5017375068480 5019959547360 5034796509690 5037389962455 5330961010260 5333707019070 5370449610336 5373215959952 5686358410944 5689287487008 5706102710982 6023951456832 6041755811628 6044867954946 6318176012160 6321430541120 6400448422884 6693279396480 6713062012920 6716519949940 7107948013680 7111609358760 7160599480448 7529939321040 7552194764535 7585716649344 7608136947976 8000560528605 8055674415504 8059823939928 8529537616416 8533931230512 8559154066473 8950749350560 9062633717442 9067301932419 9477264018240 9482145811680 9510171184970 10034750136960 10039919094720 10069593019380 10074779924910 10661922020520 10667414038140 10740899220672 10746431919904 11372716821888 11378574974016 11412205421964 12047902913664 12083511623256 12089735909892 12642861082240 12800896845768 13426124025840 13433039899880 14215896027360 14223218717520 14265256777455 15059878642080 15104389529070 15112169887365 15216273895952 16001121057210 16111348831008 16119647879856 16167291014449 17059075232832 17067862461024 17118308132946 17901498701120 18125267434884 18134603864838 18954528036480 18964291623360 19020342369940 20079838189440 20139186038760 20149559849820 21323844041040 21334828076280 21481798441344 21492863839808 22656584293605 22757149948032 22824410843928 24167023246512 24179471819784 25601793691536 25677462199419 26852248051680 26866079799760 27201905797257 28431792054720 28446437435040 28530513554910 30119757284160 30208779058140 30224339774730 30432547791904 32002242114420 32222697662016 32239295759712 32334582028898 34118150465664 34135724922048 34236616265892 35802997402240 36250534869768 36269207729676 37928583246720 38040684739880 40278372077520 40299119699640 42647688082080 42669656152560 42795770332365 42985727679616 45313168587210 45336509662095 45648821687856 48334046493024 48358943639568 48501873043347 51203587383072 51354924398838 53704496103360 53732159599520 54403811594514 56863584109440 56892874870080 57061027109820 60239514568320 60417558116280 60448679549460 60865095583808 64004484228840 64445395324032 64478591519424 64669164057796 68271449844096 68473232531784 72501069739536 72538415459352 76081369479760 77032386598257 80556744155040 80598239399280 80836455072245 85295376164160 85339312305120 85591540664730 90626337174420 90673019324190 91297643375712 96668092986048 96717887279136 97003746086694 102407174766144 102709848797676 107408992206720 107464319199040 108807623189028 113785749740160 114122054219640 120835116232560 120897359098920 121730191167616 128008968457680 128387310997095 128957183038848 129338328115592 136009528986285 136946465063568 145002139479072 145076830918704 145505619130041 152162738959520 154064773196514 161113488310080 161196478798560 161672910144490 170590752328320 170678624610240 171183081329460 181252674348840 181346038648380 182595286751424 193336185972096 193435774558272 194007492173388 204814349532288 205419697595352 214928638398080 217615246378056 228244108439280 241670232465120 241794718197840 242509365216735 256017936915360 256774621994190 258676656231184 272019057972570 273892930127136 274843947245633 290004278958144 290153661837408 291011238260082 304325477919040 308129546393028 322226976620160 322392957597120 323345820288980 341357249220480 342366162658920 362505348697680 362692077296760 365190573502848 385161932991285 386871549116544 388014984346776 410839395190704 435230492756112 436516857390123 456488216878560 483340464930240 483589436395680 485018730433470 512035873830720 513549243988380 517353312462368 544038115945140 547785860254272 549687894491266 580008557916288 580307323674816 582022476520164 608650955838080 616259092786056 644785915194240 646691640577960 684732325317840 725010697395360 725384154593520 727528095650205 770323865982570 776029968693552 821678790381408 824531841736899 870460985512224 873033714780246 912976433757120 966680929860480 967178872791360 970037460866940 1024071747661440 1027098487976760 1034706624924736 1088076231890280 1095571720508544 1099375788982532 1160614647349632 1164044953040328 1232518185572112 1293383281155920 1309550572170369 1369464650635680 1374219736228165 1450021394790720 1450768309187040 1455056191300410 1540647731965140 1552059937387104 1643357580762816 1649063683473798 1740921971024448 1746067429560492 1825952867514240 1934357745582720 1940074921733880 2054196975953520 2069413249849472 2176152463780560 2182584286950615 2198751577965064 2328089906080656 2465036371144224 2473595525210697 2586766562311840 2619101144340738 2738929301271360 2748439472456330 2900042789581440 2901536618374080 2910112382600820 3081295463930280 3104119874774208 3286715161525632 3298127366947596 3481843942048896 3492134859120984 3880149843467760 4108393951907040 4122659208684495 4352304927561120 4365168573901230 4397503155930128 4656179812161312 4672347103175761 4930072742288448 4947191050421394 5173533124623680 5238202288681476 5477858602542720 5496878944912660 5803073236748160 5820224765201640 6162590927860560 6208239749548416 6547752860851845 6596254733895192 6984269718241968 7420786575632091 7760299686935520 8216787903814080 8245318417368990 8704609855122240 8730337147802460 8795006311860256 9312359624322624 9344694206351522 9860145484576896 9894382100842788 10347066249247360 10476404577362952 10993757889825320 11640449530403280 12325181855721120 12367977626053485 13095505721703690 13192509467790384 13968539436483936 14017041309527283 14841573151264182 15520599373871040 16433575807628160 16490636834737980 17409219710244480 17460674295604920 17590012623720512 18624719248645248 18689388412703044 19788764201685576 20952809154725904 21987515779650640 22262359726896273 23280899060806560 23361735515878805 24650363711442240 24735955252106970 26191011443407380 26385018935580768 27937078872967872 28034082619054566 29683146302528364 31041198747742080 32981273669475960 34921348591209840 35180025247441024 37103932878160455 37378776825406088 39577528403371152 41905618309451808 42051123928581849 43975031559301280 44524719453792546 46561798121613120 46723471031757610 49300727422884480 49471910504213940 52382022886814760 52770037871161536 55874157745935744 56068165238109132 59366292605056728 65962547338951920 69842697182419680 70085206547636415 74207865756320910 74757553650812176 79155056806742304 83811236618903616 84102247857163698 87950063118602560 89049438907585092 93123596243226240 93446942063515220 98943821008427880 104764045773629520 105540075742323072 111311798634481365 112136330476218264 118732585210113456 126153371785745547 131925094677903840 139685394364839360 140170413095272830 148415731512641820 149515107301624352 158310113613484608 167622473237807232 168204495714327396 175900126237205120 178098877815170184 186893884127030440 197887642016855760 209528091547259040 210255619642909245 222623597268962730 224272660952436528 237465170420226912 252306743571491094 263850189355807680 279370788729678720 280340826190545660 296831463025283640 299030214603248704 316620227226969216 336408991428654792 356197755630340368 373787768254060880 378460115357236641 395775284033711520 419056183094518080 420511239285818490 445247194537925460 448545321904873056 474930340840453824 504613487142982188 527700378711615360 560681652381091320 593662926050567280 598060429206497408 630766858928727735 672817982857309584 712395511260680736 747575536508121760 756920230714473282 791550568067423040 838112366189036160 841022478571636980 890494389075850920 897090643809746112 949860681680907648 1009226974285964376 1121363304762182640 1187325852101134560 1261533717857455470 1345635965714619168 1424791022521361472 1495151073016243520 1513840461428946564 1583101136134846080 1682044957143273960 1780988778151701840 1794181287619492224 1892300576786183205 2018453948571928752 2242726609524365280 2374651704202269120 2523067435714910940 2691271931429238336 2849582045042722944 2990302146032487040 3027680922857893128 3364089914286547920 3561977556303403680 3784601153572366410 4036907897143857504 4485453219048730560 4749303408404538240 5046134871429821880 5382543862858476672 6055361845715786256 6728179828573095840 7123955112606807360 7569202307144732820 8073815794287715008 8970906438097461120 10092269742859643760 12110723691431572512 13456359657146191680 14247910225213614720 15138404614289465640 16147631588575430016 20184539485719287520 24221447382863145024 26912719314292383360 30276809228578931280 40369078971438575040 48442894765726290048 60553618457157862560 80738157942877150080 121107236914315725120 242214473828631450240
- Sum of all divisors σ(n): 919119655103180460930
- Sum of proper divisors (its aliquot sum) s(n): 676905181274549010690
- 242214473828631450240 is an abundant number, because the sum of its proper divisors (676905181274549010690) is greater than itself. Its abundance is 434690707445917560450
Bases of 242214473828631450240
- Binary: 110100100001011001101010110010100011110011011011101000010010100000002
- Hexadecimal: 0xD2166ACA3CDBA1280
- Base-36: 1F48CP3455T400
Squares and roots of 242214473828631450240
- 242214473828631450240 squared (2422144738286314502402) is 58667851332080789748844727366845596057600
- 242214473828631450240 cubed (2422144738286314502403) is 14210202741056323214207048644418915524029144400166314573824000
-
The
square root of 242214473828631450240 is 15563241109.3779386401 -
The
cube root of 242214473828631450240 is 6233520.0942301743
Scales and comparisons
How big is 242214473828631450240?- 242,214,473,828,631,450,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 242,214,473,828,631,450,240 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 242214473828631450240 cubic inches would be around 519460 feet tall.
Recreational maths with 242214473828631450240
- 242214473828631450240 backwards is 042054136828374412242
- 242214473828631450240 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 242214473828631450240's digits is 72
- 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 242214473828631450240 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
APA style:
Numbermatics. (2024). Number 242214473828631450240 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/242214473828631450240/
Chicago style:
Numbermatics. 2024. "Number 242214473828631450240 - Facts about the integer". https://numbermatics.com/n/242214473828631450240/
The information we have on file for 242214473828631450240 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 242214473828631450240, math, Factors of 242214473828631450240, curriculum, school, college, exams, university, Prime factorization of 242214473828631450240, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two quintillion, two hundred fourteen quadrillion, four hundred seventy-three trillion, eight hundred twenty-eight billion, six hundred thirty-one million, four hundred fifty thousand, two hundred forty.