213991013504473202816
213,991,013,504,473,202,816 is an even composite number composed of five prime numbers multiplied together.
213991013504473202816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 213991013504473202816:
27 × 72 × 133 × 613 × 4093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 61 × 61 × 61 × 409 × 409 × 409)See below for interesting mathematical facts about the number 213991013504473202816 from the Numbermatics database.
Names of 213991013504473202816
- Cardinal: 213991013504473202816 can be written as Two hundred thirteen quintillion, nine hundred ninety-one quadrillion, thirteen trillion, five hundred four billion, four hundred seventy-three million, two hundred two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 2.13991013504473202816 × 1020
Factors of 213991013504473202816
Divisors of 213991013504473202816
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 64 91 98 104 112 122 128 169 182 196 208 224 244 338 364 392 409 416 427 448 488 637 676 728 784 793 818 832 854 896 976 1183 1274 1352 1456 1568 1586 1636 1664 1708 1952 2197 2366 2548 2704 2863 2912 2989 3136 3172 3272 3416 3721 3904 4394 4732 5096 5317 5408 5551 5726 5824 5978 6272 6344 6544 6832 7442 7808 8281 8788 9464 10192 10309 10634 10816 11102 11452 11648 11956 12688 13088 13664 14884 15379 16562 17576 18928 20041 20384 20618 21268 21632 22204 22904 23912 24949 25376 26047 26176 27328 29768 30758 33124 35152 37219 37856 38857 40082 40768 41236 42536 44408 45808 47824 48373 49898 50752 52094 52352 54656 59536 61516 66248 69121 70304 72163 74438 75712 77714 80164 81536 82472 85072 88816 91616 95648 96746 99796 101504 104188 107653 119072 123032 132496 134017 138242 140608 144326 148876 151424 155428 160328 164944 167281 170144 174643 177632 182329 183232 191296 193492 199592 208376 215306 226981 238144 246064 260533 264992 268034 276484 281216 288652 297752 310856 320656 324337 329888 334562 338611 340288 349286 355264 364658 366464 382592 386984 399184 416752 430612 453962 476288 483847 492128 505141 521066 529984 536068 552968 577304 595504 621712 628849 641312 648674 659776 669124 677222 680576 698572 710528 729316 773968 798368 833504 861224 898573 907924 938119 967694 984256 1010282 1042132 1059968 1072136 1105936 1154608 1170967 1191008 1222501 1243424 1257698 1282624 1297348 1319552 1338248 1354444 1397144 1458632 1521889 1547936 1588867 1596736 1667008 1722448 1797146 1815848 1876238 1935388 1968512 2020564 2084264 2144272 2174653 2211872 2270359 2309216 2341934 2370277 2382016 2445002 2486848 2515396 2565248 2594696 2676496 2708888 2794288 2917264 2950753 3043778 3095872 3177734 3193472 3334016 3386929 3444896 3594292 3631696 3752476 3870776 4041128 4168528 4216381 4288544 4349306 4401943 4423744 4540718 4618432 4683868 4740554 4764032 4890004 4973696 5030792 5189392 5352992 5417776 5588576 5834528 5901506 6087556 6191744 6290011 6355468 6566833 6773858 6889792 7188584 7263392 7504952 7741552 8082256 8175037 8196769 8337056 8432762 8577088 8698612 8803886 8847488 9081436 9236864 9367736 9481108 9780008 10061584 10204141 10378784 10653223 10705984 10835552 11122069 11177152 11669056 11803012 12175112 12580022 12710936 13133666 13547716 13779584 14377168 14526784 15009904 15222571 15483104 15892513 16164512 16350074 16393538 16674112 16865524 17154176 17397224 17607772 18162872 18735472 18962216 19560016 19784557 20123168 20408282 20655271 20757568 21306446 21411968 21671104 22244138 22354304 23338112 23606024 24350224 25160044 25421872 26267332 27095432 28270489 28754336 29053568 29514667 30019808 30445142 30813601 30966208 31785026 32329024 32700148 32787076 33348224 33731048 34794448 35215544 36325744 37470944 37924432 38359789 39120032 39569114 40246336 40816564 41310542 41515136 42612892 43342208 44030077 44488276 47212048 48700448 50320088 50843744 52534664 54190864 54812953 56540978 57225259 57508672 59029334 60039616 60890284 61627202 61932416 63570052 64658048 65400296 65574152 67462096 68417929 69588896 70431088 71428987 72651488 74572561 74941888 75848864 76719578 78240064 79138228 80492672 81633128 82621084 85225784 88060154 88976552 92835229 94424096 97400896 100640176 101687488 105069328 106557997 108381728 109625906 113081956 114450518 115017344 118058668 120079232 121780568 123254404 127140104 130800592 131148304 132653833 134924192 136835858 138491899 139177792 140862176 142857974 144586897 145302976 149145122 149883776 151697728 153439156 156480128 158276456 163266256 165242168 170451568 176120308 177953104 185670458 188848192 194801792 197893423 201280352 203374976 206602669 210138656 213115994 216763456 219251812 226163912 228901036 236117336 243561136 246508808 254280208 257199241 261601184 262296608 265307666 268518523 269848384 273671716 276983798 278355584 281724352 285715948 289173794 290605952 298290244 303395456 306878312 316552912 326532512 330484336 340903136 352240616 355906208 367516357 371340916 377696384 383690671 395786846 400576813 402560704 413205338 420277312 426231988 433526912 438503624 452327824 457802072 472234672 478925503 487122272 493017616 498677257 500002909 508560416 514398482 523202368 524593216 530615332 537037046 539696768 547343432 553967596 563448704 571431896 578347588 596580488 613756624 622452601 633105824 649846603 653065024 660968672 681806272 704481232 711812416 735032714 742681832 767381342 791573692 801153626 805121408 826410676 840554624 852463976 877007248 889433077 904655648 915604144 928576831 944469344 957851006 969443293 974244544 986035232 997354514 1000005818 1017120832 1028796964 1046404736 1049186432 1061230664 1074074092 1094686864 1107935192 1142863792 1156695176 1193160976 1206857977 1227513248 1244905202 1266211648 1299693206 1306130048 1321937344 1363612544 1385253961 1408962464 1423624832 1470065428 1485363664 1534762684 1583147384 1602307252 1652821352 1704927952 1724499829 1754014496 1778866154 1800394687 1809311296 1831208288 1857153662 1879629661 1888938688 1915702012 1938886586 1948489088 1972070464 1994709028 2000011636 2034241664 2057593928 2122461328 2148148184 2189373728 2215870384 2285727584 2313390352 2386321952 2413715954 2455026496 2489810404 2532423296 2572614499 2599386412 2643874688 2685834697 2770507922 2817924928 2940130856 2970727328 3069525368 3166294768 3204614504 3305642704 3343590133 3352478521 3409855904 3448999658 3490740799 3508028992 3557732308 3600789374 3618622592 3662416576 3714307324 3759259322 3777877376 3831404024 3877773172 3944140928 3989418056 4000023272 4115187856 4173493669 4244922656 4296296368 4357168207 4378747456 4431740768 4548926221 4571455168 4626780704 4772643904 4827431908 4910052992 4979620808 5145228998 5198772824 5371669394 5541015844 5635849856 5880261712 5941454656 6139050736 6226031539 6332589536 6409229008 6500037817 6611285408 6687180266 6704957042 6819711808 6897999316 6981481598 7016057984 7115464616 7201578748 7324833152 7428614648 7518518644 7662808048 7755546344 7978836112 8000046544 8091883813 8230375712 8346987338 8448005839 8489845312 8592592736 8714336414 8757494912 8863481536 9097852442 9142910336 9253561408 9545287808 9654863816 9959241616 10290457996 10397545648 10743338788 11082031688 11562630001 11760523424 11882909312 12071498803 12278101472 12452063078 12602762809 12665179072 12818458016 13000075634 13222570816 13374360532 13409914084 13639423616 13795998632 13962963196 14230929232 14403157496 14857229296 15037037288 15325616096 15511092688 15689153701 15957672224 16000093088 16183767626 16460751424 16693974676 16896011678 16979690624 17185185472 17428672828 17726963072 18008301493 18195704884 18507122816 19309727632 19918483232 20580915992 20795091296 21486677576 22164063376 22418497777 23125260002 23405130931 23521046848 24142997606 24435185593 24556202944 24904126156 25205525618 25330358144 25636916032 26000151268 26445141632 26748721064 26819828168 27591997264 27925926392 28461858464 28806314992 29214455683 29714458592 30074074576 30500177449 30651232192 31022185376 31378307402 31915344448 32000186176 32367535252 32921502848 33387949352 33792023356 34370370944 34857345656 36016602986 36391409768 37969608661 38619455264 39836966464 41161831984 41590182592 42973355152 43582220773 44328126752 44836995554 46250520004 46810261862 47042093696 48285995212 48870371186 49112405888 49808252312 50411051236 51273832064 52000302536 53497442128 53639656336 54255417697 55183994528 55851852784 56643186691 56923716928 57612629984 58428911366 59136040873 59428917184 60148149152 61000354898 61302464384 62044370752 62756614804 63830688896 64000372352 64735070504 66775898704 67584046712 69714691312 72033205972 72782819536 75939217322 77238910528 79673932928 80938410007 82323663968 83180365184 84500491621 85946710304 87164441546 88656253504 89673991108 92501040008 93620523724 96571990424 97740742372 99616504624 100822102472 104000605072 105194489569 106994884256 107279312672 108510835394 109824075907 110367989056 111703705568 113286373382 113847433856 115225259968 116857822732 118272081746 118857834368 120296298304 122000709796 124088741504 125513229608 129470141008 133551797408 135168093424 139429382624 144066411944 145565639072 150314190013 151878434644 154477821056 156929484439 161876820014 163835916517 164647327936 169000983242 171893420608 174328883092 177312507008 179347982216 185002080016 187241047448 193143980848 195481484744 199233009248 201644204944 203958998113 204501189781 208001210144 210388979138 213989768512 214558625344 217021670788 219648151814 220735978112 223407411136 226572746764 230450519936 233715645464 236544163492 240592596608 244001419592 251026459216 254583113809 258940282016 265787260627 267103594816 270336186848 278858765248 288132823888 291131278144 300628380026 303756869288 313858968878 323753640028 327671833034 329294655872 338001966484 343786841216 348657766184 358695964432 370004160032 374482094896 379787923879 386287961696 390962969488 396502306837 398466018496 403288409888 407917996226 409002379562 416002420288 420777958276 427979537024 429117250688 434043341576 439296303628 446814822272 453145493528 467431290928 473088326984 488002839184 493604912593 502052918432 509166227618 517880564032 531574521254 534207189632 540672373696 557717530496 566568870049 576265647776 582262556288 601256760052 607513738576 627717937756 647507280056 655343666068 676003932968 697315532368 705320430061 717391928864 736361426983 740008320064 748964189792 759575847758 768768531349 772575923392 781925938976 793004613674 796932036992 806576819776 815835992452 818004759124 832004840576 841555916552 868086683152 878592607256 906290987056 934862581856 946176653968 976005678368 987209825186 1004105836864 1018332455236 1035761128064 1052199330091 1063149042508 1081344747392 1098506391073 1133137740098 1152531295552 1202513520104 1215027477152 1255435875512 1295014560112 1310687332136 1352007865936 1367528364397 1394631064736 1410640860122 1427712986791 1434783857728 1472722853966 1480016640128 1497928379584 1519151695516 1537537062698 1545151846784 1563851877952 1586009227348 1613153639552 1631671984904 1636009518248 1683111833104 1736173366304 1757185214512 1782081796663 1812581974112 1860510824389 1869725163712 1892353307936 1952011356736 1974419650372 2008211673728 2036664910472 2104398660182 2126298085016 2197012782146 2266275480196 2305062591104 2405027040208 2430054954304 2510871751024 2590029120224 2621374664272 2658515467153 2704015731872 2735056728794 2789262129472 2821281720244 2855425973582 2869567715456 2945445707932 2995856759168 3038303391032 3075074125396 3127703755904 3172018454696 3263343969808 3272019036496 3309580479517 3366223666208 3455234388151 3472346732608 3514370429024 3564163593326 3625163948224 3721021648778 3739450327424 3784706615872 3904022713472 3948839300744 4073329820944 4208797320364 4252596170032 4394025564292 4532550960392 4810054080416 4860109908608 4937243010427 5021743502048 5154529988881 5180058240448 5242749328544 5317030934306 5408031463744 5470113457588 5578524258944 5642563440488 5710851947164 5890891415864 6076606782064 6150148250792 6344036909392 6416863863709 6526687939616 6544038072992 6619160959034 6732447332416 6910468776302 6944693465216 7028740858048 7128327186652 7250327896448 7365395310637 7442043297556 7569413231744 7897678601488 8146659641888 8417594640728 8505192340064 8788051128584 9065101920784 9169165590793 9572698550779 9620108160832 9874486020854 9993990907537 10043487004096 10309059977762 10360116480896 10485498657088 10634061868612 10816062927488 10940226915176 11285126880976 11421703894328 11781782831728 12153213564128 12300296501584 12474572576641 12688073818784 12833727727418 13053375879232 13088076145984 13238321918068 13464894664832 13820937552604 14057481716096 14256654373304 14730790621274 14884086595112 15529569942349 15795357202976 16293319283776 16835189281456 17010384680128 17576102257168 18130203841568 18338331181586 19145397101558 19240216321664 19748972041708 19987981815074 20086974008192 20618119955524 20970997314176 21268123737224 21880453830352 22570253761952 22843407788656 23167063356619 23563565663456 24186640717057 24306427128256 24600593003168 24949145153282 25376147637568 25667455454836 26106751758464 26176152291968 26476643836136 27641875105208 28513308746608 29461581242548 29768173190224 31059139884698 31590714405952 32586638567552 33670378562912 34020769360256 34560701072989 35152204514336 36260407683136 36676662363172 38290794203116 39497944083416 39975963630148 41236239911048 42536247474448 43024546233721 43760907660704 44918047045963 45140507523904 45686815577312 46334126713238 47127131326912 48373281434114 48612854256512 49201186006336 49898290306564 50752295275136 51334910909672 52953287672272 55283750210416 57026617493216 58923162485096 59536346380448 62118279769396 63181428811904 64184159135551 67008889855453 67340757125824 69121402145978 70304409028672 72520815366272 73353324726344 76581588406232 78995888166832 79951927260296 82472479822096 83419230228217 85072494948896 86049092467442 87521815321408 89836094091926 90281015047808 91373631154624 92668253426476 94254262653824 96746562868228 98402372012672 99796580613128 102669821819344 105906575344544 108706989596443 110567500420832 114053234986432 117846324970192 119072692760896 124236559538792 128368318271102 134017779710906 134681514251648 138242804291956 140608818057344 146706649452688 153163176812464 157991776333664 159903854520592 162169443496333 164944959644192 166838460456434 170144989897792 172098184934884 175043630642816 179672188183852 182747262309248 185336506852952 193493125736456 199593161226256 201884409250537 205339643638688 211813150689088 217413979192886 221135000841664 228106469972864 235692649940384 238145385521792 248473119077584 256736636542204 268035559421812 276485608583912 293413298905376 301171823636047 306326353624928 314426329321741 315983552667328 319807709041184 324338886992666 329889919288384 333676920912868 340289979795584 344196369869768 359344376367704 370673013705904 386986251472912 399186322452512 403768818501074 410679287277376 423626301378176 434827958385772 442270001683328 449289113948857 471385299880768 496946238155168 513473273084408 536071118843624 552971217167824 559319101038373 583934611597519 586826597810752 602343647272094 612652707249856 628852658643482 631967105334656 639615418082368 648677773985332 659779838576768 667353841825736 688392739739536 718688752735408 741346027411808 760948927175101 773972502945824 798372644905024 807537637002148 821358574554752 869655916771544 898578227897714 942770599761536 993892476310336 1026946546168816 1072142237687248 1105942434335648 1118638202076746 1167869223195038 1173653195621504 1204687294544188 1225305414499712 1257705317286964 1279230836164736 1297355547970664 1334707683651472 1376785479479072 1413190864753759 1437377505470816 1482692054823616 1521897854350202 1547945005891648 1596745289810048 1615075274004296 1739311833543088 1797156455795428 1987784952620672 2053893092337632 2108202765452329 2144284475374496 2211884868671296 2237276404153492 2335738446390076 2409374589088376 2515410634573928 2594711095941328 2624497320256981 2669415367302944 2753570958958144 2826381729507518 2874755010941632 2965384109647232 3043795708700404 3095890011783296 3230150548008592 3478623667086176 3594312911590856 3915233707268611 4087542281182633 4107786184675264 4216405530904658 4288568950748992 4423769737342592 4474552808306984 4671476892780152 4818749178176752 5030821269147856 5189422191882656 5248994640513962 5338830734605888 5507141917916288 5652763459015036 5749510021883264 6087591417400808 6460301096017184 6957247334172352 7188625823181712 7830467414537222 8175084562365266 8215572369350528 8432811061809316 8577137901497984 8949105616613968 9342953785560304 9637498356353504 9892336053276313 10061642538295712 10378844383765312 10497989281027924 10677661469211776 11305526918030072 12175182834801616 12920602192034368 13914494668344704 14377251646363424 15660934829074444 16350169124730532 16865622123618632 17898211233227936 18371481241798867 18685907571120608 19274996712707008 19784672106552626 20123285076591424 20757688767530624 20995978562055848 22611053836060144 24350365669603232 25841204384068736 27406635950880277 28754503292726848 31321869658148888 32700338249461064 33731244247237264 34118465163340753 35796422466455872 36742962483597734 37371815142241216 38549993425414016 39569344213105252 40246570153182848 41991957124111696 45222107672120288 48700731339206464 54813271901760554 57509006585453696 62643739316297776 65400676498922128 67462488494474528 68236930326681506 71592844932911744 73485924967195468 74743630284482432 79138688426210504 83983914248223392 90444215344240576 97401462678412928 109626543803521108 125287478632595552 128600368692592069 130801352997844256 134924976988949056 136473860653363012 146971849934390936 158277376852421008 167967828496446784 180888430688481152 219253087607042216 238829256143385271 250574957265191104 257200737385184138 261602705995688512 269849953977898112 272947721306726024 293943699868781872 316554753704842016 335935656992893568 438506175214084432 477658512286770542 501149914530382208 514401474770368276 523205411991377024 545895442613452048 587887399737563744 633109507409684032 877012350428168864 955317024573541084 1028802949540736552 1091790885226904096 1175774799475127488 1266219014819368064 1671804793003696897 1754024700856337728 1910634049147082168 2057605899081473104 2183581770453808192 2351549598950254976 3343609586007393794 3508049401712675456 3821268098294164336 4115211798162946208 4367163540907616384 6687219172014787588 7642536196588328672 8230423596325892416 13374438344029575176 15285072393176657344 16460847192651784832 26748876688059150352 30570144786353314688 53497753376118300704 106995506752236601408 213991013504473202816
- Sum of all divisors σ(n): 547511342156836344000
- Sum of proper divisors (its aliquot sum) s(n): 333520328652363141184
- 213991013504473202816 is an abundant number, because the sum of its proper divisors (333520328652363141184) is greater than itself. Its abundance is 119529315147889938368
Bases of 213991013504473202816
- Binary: 101110011001101110001100110100000010011000111111000110000000100000002
- Hexadecimal: 0xB99B8CD0263F18080
- Base-36: 195SX7E0H10OE8
Squares and roots of 213991013504473202816
- 213991013504473202816 squared (2139910135044732028162) is 45792153860671632658393797575433070329856
- 213991013504473202816 cubed (2139910135044732028163) is 9799109415197898054869649644139610122654025931675037908074496
-
The
square root of 213991013504473202816 is 14628431683.0093991733 -
The
cube root of 213991013504473202816 is 5981340.3026294415
Scales and comparisons
How big is 213991013504473202816?- 213,991,013,504,473,202,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 213,991,013,504,473,202,816 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 213991013504473202816 cubic inches would be around 498445 feet tall.
Recreational maths with 213991013504473202816
- 213991013504473202816 backwards is 618202374405310199312
- The number of decimal digits it has is: 21
- The sum of 213991013504473202816's digits is 71
- More coming soon!
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"Number 213991013504473202816 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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The information we have on file for 213991013504473202816 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!
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