6801356630327008138272
6,801,356,630,327,008,138,272 is an even composite number composed of seven prime numbers multiplied together.
6801356630327008138272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 6801356630327008138272:
25 × 36 × 13 × 23 × 113 × 349 × 24725380423
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 23 × 113 × 349 × 24725380423)See below for interesting mathematical facts about the number 6801356630327008138272 from the Numbermatics database.
Names of 6801356630327008138272
- Cardinal: 6801356630327008138272 can be written as Six sextillion, eight hundred one quintillion, three hundred fifty-six quadrillion, six hundred thirty trillion, three hundred twenty-seven billion, eight million, one hundred thirty-eight thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 6.801356630327008138272 × 1021
Factors of 6801356630327008138272
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 24725380926
Divisors of 6801356630327008138272
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 69 72 78 81 92 96 104 108 113 117 138 144 156 162 184 207 208 216 226 234 243 276 288 299 312 324 339 349 351 368 414 416 432 452 468 486 552 598 621 624 648 678 698 702 729 736 828 864 897 904 936 972 1017 1047 1053 1104 1196 1242 1248 1296 1356 1396 1404 1458 1469 1656 1794 1808 1863 1872 1944 2034 2094 2106 2208 2392 2484 2592 2599 2691 2712 2792 2808 2916 2938 3051 3141 3159 3312 3588 3616 3726 3744 3888 4068 4188 4212 4407 4537 4784 4968 5198 5382 5424 5584 5589 5616 5832 5876 6102 6282 6318 6624 7176 7452 7776 7797 8027 8073 8136 8376 8424 8814 9074 9153 9423 9477 9568 9936 10396 10764 10848 11168 11178 11232 11664 11752 12204 12564 12636 13221 13611 14352 14904 15594 16054 16146 16272 16752 16767 16848 17628 18148 18306 18846 18954 19872 20792 21528 22356 23328 23391 23504 24081 24219 24408 25128 25272 26442 27222 27459 28269 28704 29808 31188 32108 32292 32544 33504 33534 33696 33787 35256 36296 36612 37692 37908 39437 39663 40833 41584 43056 44712 46782 47008 48162 48438 48816 50256 50544 52884 54444 54918 56538 59616 62376 64216 64584 67068 67574 70173 70512 72243 72592 72657 73224 75384 75816 78874 79326 81666 82377 83168 84807 86112 89424 93564 96324 96876 97632 100512 101088 101361 104351 105768 108888 109836 113076 118311 118989 122499 124752 128432 129168 134136 135148 140346 141024 144486 145184 145314 146448 150768 151632 157748 158652 163332 164754 169614 178848 187128 192648 193752 202722 208702 210519 211536 216729 217776 217971 219672 226152 236622 237978 244998 249504 254421 256864 258336 268272 270296 280692 288972 290628 292896 301536 303264 304083 313053 315496 317304 326664 329508 339228 354933 356967 367497 374256 385296 387504 405444 417404 421038 423072 433458 435552 435942 439344 452304 473244 475956 489996 508842 512681 536544 540592 561384 577944 581256 608166 626106 630992 631557 634608 650187 653328 659016 678456 709866 713934 734994 748512 770592 775008 810888 834808 842076 866916 871884 878688 904608 907051 912249 939159 946488 951912 979992 1017684 1025362 1064799 1070901 1081184 1102491 1122768 1155888 1162512 1216332 1252212 1261984 1263114 1269216 1300374 1306656 1318032 1356912 1419732 1427868 1469988 1538043 1621776 1669616 1684152 1733832 1743768 1814102 1824498 1878318 1892976 1894671 1903824 1950561 1959984 2035368 2050724 2129598 2141802 2204982 2245536 2311776 2325024 2432664 2504424 2526228 2600748 2636064 2713824 2721153 2736747 2817477 2839464 2855736 2939976 3076086 3194397 3243552 3307473 3339232 3368304 3467664 3487536 3628204 3648996 3756636 3785952 3789342 3807648 3901122 3919968 4070736 4101448 4259196 4283604 4409964 4614129 4865328 5008848 5052456 5201496 5442306 5473494 5634954 5678928 5711472 5851683 5879952 6152172 6388794 6614946 6736608 6935328 6975072 7256408 7297992 7513272 7578684 7802244 8141472 8163459 8202896 8210241 8452431 8518392 8567208 8819928 9228258 9583191 9730656 10017696 10104912 10402992 10884612 10946988 11269908 11357856 11422944 11703366 11759904 11791663 12304344 12777588 13229892 13842387 14512816 14595984 15026544 15157368 15604488 16326918 16405792 16420482 16904862 17036784 17134416 17639856 18456516 19166382 20209824 20805984 21769224 21893976 22539816 23406732 23583326 24490377 24608688 24630723 25357293 25555176 26459784 27684774 28749573 29025632 29191968 30053088 30314736 31208976 32653836 32840964 33809724 34073568 34268832 35279712 35374989 36913032 38332764 41527161 43538448 43787952 45079632 46813464 47166652 48980754 49217376 49261446 50714586 51110352 52919568 55369548 57499146 60629472 62417952 65307672 65681928 67619448 70749978 73471131 73826064 76071879 76665528 83054322 87076896 87575904 90159264 93626928 94333304 97961508 98522892 101429172 102220704 105839136 106124967 110739096 114998292 124581483 130615344 131363856 135238896 141499956 146942262 147652128 152143758 153331056 166108644 187253856 188666608 195923016 197045784 202858344 212249934 220413393 221478192 229996584 249162966 261230688 262727712 270477792 282999912 293884524 304287516 306662112 318374901 332217288 373744449 377333216 391846032 394091568 405716688 424499868 440826786 442956384 459993168 498325932 565999824 587769048 608575032 636749802 661240179 664434576 747488898 783692064 788183136 811433376 848999736 881653572 919986336 955124703 996651864 1131999648 1175538096 1217150064 1273499604 1322480358 1328869152 1494977796 1697999472 1763307144 1910249406 1993303728 2351076192 2434300128 2546999208 2644960716 2865374109 2989955592 3395998944 3526614288 3820498812 3986607456 5093998416 5289921432 5730748218 5979911184 7053228576 7640997624 8596122327 10187996832 10579842864 11461496436 11959822368 15281995248 17192244654 21159685728 22922992872 24725380423 30563990496 34384489308 45845985744 49450760846 68768978616 74176141269 91691971488 98901521692 137537957232 148352282538 197803043384 222528423807 275075914464 296704565076 321429945499 395606086768 445056847614 568683749729 593409130152 642859890998 667585271421 791212173536 890113695228 964289836497 1137367499458 1186818260304 1285719781996 1335170542842 1706051249187 1780227390456 1928579672994 2002755814263 2274734998916 2373636520608 2571439563992 2670341085684 2793967987799 2892869509491 3412102498374 3560454780912 3857159345988 4005511628526 4549469997832 5118153747561 5142879127984 5340682171368 5587935975598 5785739018982 6008267442789 6824204996748 7120909561824 7392888746477 7714318691976 8011023257052 8381903963397 8629157767627 8678608528473 9098939995664 10236307495122 10285758255968 10681364342736 11175871951196 11571478037964 12016534885578 13648409993496 14785777492954 15354461242683 15428637383952 16022046514104 16763807926794 17258315535254 17357217056946 18024802328367 18197879991328 20472614990244 21362728685472 22178666239431 22351743902392 23142956075928 24033069771156 25145711890191 25887473302881 26035825585419 27296819986992 29571554985908 30708922485366 30857274767904 32044093028208 33527615853588 34516631070508 34714434113892 36049604656734 36321583841387 40945229980488 44357332478862 44703487804784 46063383728049 46285912151856 48066139542312 50291423780382 51774946605762 52071651170838 54593639973984 59143109971816 61417844970732 64088186056416 64261263719377 66535998718293 67055231707176 69033262141016 69428868227784 72099209313468 72643167682774 75437135670573 77662419908643 78107476756257 81890459960976 88714664957724 89406975609568 92126767456098 92571824303712 96132279084624 100582847560764 103549893211524 104143302341676 108964751524161 112179050979151 118286219943632 122835689941464 128522527438754 133071997436586 134110463414352 138066524282032 138190151184147 138857736455568 144198418626936 145286335365548 150874271341146 155324839817286 156214953512514 163780919921952 177429329915448 184253534912196 192264558169248 192783791158131 198470628655421 199607996154879 201165695121528 207099786423048 208286604683352 217929503048322 224358101958302 226311407011719 232987259725929 234322430268771 236572439887264 245671379882928 257045054877508 266143994873172 268220926828704 276133048564064 276380302368294 277715472911136 288396837253872 290572670731096 301748542682292 310649679634572 312429907025028 326894254572483 336537152937453 354858659830896 368507069824392 385567582316262 396941257310842 399215992309758 402331390243056 414199572846096 414570453552441 416573209366704 435859006096644 448716203916604 452622814023438 465974519451858 468644860537542 491342759765856 514090109755016 532287989746344 552760604736588 576793674507744 578351373474393 581145341462192 595411885966263 598823988464637 603497085364584 621299359269144 624859814050056 653788509144966 673074305874906 678934221035157 698961779177787 709717319661792 737014139648784 771135164632524 793882514621684 798431984619516 804662780486112 828399145692192 829140907104882 833146418733408 835396428351901 871718012193288 897432407833208 905245628046876 931949038903716 937289721075084 975094827741851 980682763717449 1009611458812359 1028180219510032 1064575979492688 1105521209473176 1156702746948786 1162290682924384 1190823771932526 1197647976929274 1206994170729168 1242598718538288 1249719628100112 1307577018289932 1346148611749812 1357868442070314 1397923558355574 1474028279297568 1542270329265048 1587765029243368 1596863969239032 1658281814209764 1670792856703802 1735054120423179 1743436024386576 1786235657898789 1794864815666416 1796471965393911 1810491256093752 1863898077807432 1874579442150168 1950189655483702 1961365527434898 2019222917624718 2036802663105471 2056360439020064 2096885337533361 2129151958985376 2211042418946352 2313405493897572 2381647543865052 2395295953858548 2413988341458336 2485197437076576 2499439256200224 2506189285055703 2580118172520473 2615154036579864 2692297223499624 2715736884140628 2795847116711148 2925284483225553 2942048291152347 3028834376437077 3084540658530096 3175530058486736 3193727938478064 3316563628419528 3341585713407604 3470108240846358 3486872048773152 3572471315797578 3589729631332832 3592943930787822 3620982512187504 3727796155614864 3749158884300336 3900379310967404 3922731054869796 4038445835249436 4073605326210942 4193770675066722 4422084837892704 4626810987795144 4763295087730104 4790591907717096 5012378570111406 5160236345040946 5205162361269537 5230308073159728 5358706973696367 5384594446999248 5389415896181733 5431473768281256 5591694233422296 5850568966451106 5884096582304694 6057668752874154 6169081317060192 6290656012600083 6351060116973472 6387455876956128 6633127256839056 6683171426815208 6940216481692716 7144942631595156 7185887861575644 7241965024375008 7455592311229728 7498317768600672 7518567855167109 7740354517561419 7800758621934808 7845462109739592 8076891670498872 8147210652421884 8387541350133444 8775853449676659 8826144873457041 9086503129311231 9253621975590288 9526590175460208 9581183815434192 10024757140222812 10320472690081892 10410324722539074 10460616146319456 10717413947392734 10769188893998496 10778831792363466 10862947536562512 11183388466844592 11701137932902212 11768193164609388 12115337505748308 12581312025200166 12676232760644063 13266254513678112 13366342853630416 13880432963385432 14289885263190312 14371775723151288 15037135710334218 15480709035122838 15601517243869616 15615487083808611 15690924219479184 16076120921089101 16153783340997744 16294421304843768 16775082700266888 17551706899353318 17652289746914082 18173006258622462 18507243951180576 19053180350920416 19162367630868384 20049514280445624 20640945380163784 20820649445078148 21434827894785468 21557663584726932 21725895073125024 22366776933689184 22427181038062573 22555703565501327 23221063552684257 23402275865804424 23536386329218776 24230675011496616 25162624050400332 25352465521288126 26327560349029977 26478434620371123 26732685707260832 27259509387933693 27760865926770864 28579770526380624 28743551446302576 30074271420668436 30961418070245676 31203034487739232 31230974167617222 31381848438958368 32152241842178202 32307566681995488 32588842609687536 33550165400533776 35103413798706636 35304579493828164 36346012517244924 38028698281932189 40099028560891248 41281890760327568 41641298890156296 42869655789570936 43115327169453864 44854362076125146 45111407131002654 46442127105368514 46804551731608848 46846461251425833 47072772658437552 48228362763267303 48461350022993232 50325248100800664 50704931042576252 52655120698059954 52956869240742246 54519018775867386 55521731853541728 57159541052761248 57487102892605152 60148542841336872 61922836140491352 62461948335234444 64304483684356404 65177685219375072 67100330801067552 67281543114187719 67667110696503981 69663190658052771 70206827597413272 70609158987656328 72692025034489848 76057396563864378 78982681047089931 80198057121782496 81778528163801079 82563781520655136 83282597780312592 85739311579141872 86230654338907728 89708724152250292 90222814262005308 92884254210737028 93609103463217696 93692922502851666 94145545316875104 96456725526534606 96922700045986464 100650496201601328 101409862085152504 105310241396119908 105913738481484492 109038037551734772 114086094845796567 120297085682673744 123845672280982704 124923896670468888 128608967368712808 134563086228375438 135334221393007962 139326381316105542 140413655194826544 141218317975312656 144685088289801909 145384050068979696 152114793127728756 157965362094179862 163557056327602158 166565195560625184 171478623158283744 172461308677815456 179417448304500584 180445628524010616 185768508421474056 187385845005703332 192913451053069212 201300992403202656 201844629342563157 202819724170305008 203001332089511943 208989571974158313 210620482792239816 211827476962968984 218076075103469544 228172189691593134 236948043141269793 240594171365347488 247691344561965408 249847793340937776 257217934737425616 269126172456750876 270668442786015924 278652762632211084 280827310389653088 282436635950625312 289370176579603818 290768100137959392 291553353494813449 304229586255457512 315930724188359724 327114112655204316 342258284537389701 358834896609001168 360891257048021232 371537016842948112 374771690011406664 385826902106138424 403689258685126314 405639448340610016 406002664179023886 417979143948316626 421240965584479632 423654953925937968 436152150206939088 456344379383186268 473896086282539586 499695586681875552 514435869474851232 538252344913501752 541336885572031848 557305525264422168 578740353159207636 583106706989626898 605533888027689471 608459172510915024 609003996268535829 626968715922474939 631861448376719448 654228225310408632 684516569074779402 710844129423809379 717669793218002336 721782514096042464 743074033685896224 749543380022813328 771653804212276848 807378517370252628 812005328358047772 835958287896633252 842481931168959264 847309907851875936 872304300413878176 874660060484440347 912688758766372536 947792172565079172 1026774853612169103 1076504689827003504 1082673771144063696 1114611050528844336 1157480706318415272 1166213413979253796 1211067776055378942 1216918345021830048 1218007992537071658 1253937431844949878 1263722896753438896 1308456450620817264 1369033138149558804 1421688258847618758 1499086760045626656 1543307608424553696 1614757034740505256 1624010656716095544 1671916575793266504 1749320120968880694 1816601664083068413 1825377517532745072 1880906147767424817 1895584345130158344 2053549707224338206 2153009379654007008 2165347542288127392 2229222101057688672 2314961412636830544 2332426827958507592 2422135552110757884 2436015985074143316 2507874863689899756 2527445793506877792 2616912901241634528 2623980181453321041 2738066276299117608 2843376517695237516 3080324560836507309 3229514069481010512 3248021313432191088 3343833151586533008 3498640241937761388 3633203328166136826 3650755035065490144 3761812295534849634 3791168690260316688 4107099414448676412 4629922825273661088 4664853655917015184 4844271104221515768 4872031970148286632 5015749727379799512 5247960362906642082 5449804992249205239 5476132552598235216 5686753035390475032 6160649121673014618 6459028138962021024 6496042626864382176 6687666303173066016 6997280483875522776 7266406656332273652 7523624591069699268 7582337380520633376 7871940544359963123 8214198828897352824 9240973682509521927 9329707311834030368 9688542208443031536 9744063940296573264 10031499454759599024 10495920725813284164 10899609984498410478 10952265105196470432 11373506070780950064 12321298243346029236 13994560967751045552 14532813312664547304 15047249182139398536 15743881088719926246 16349414976747615717 16428397657794705648 18481947365019043854 19377084416886063072 19488127880593146528 20062998909519198048 20991841451626568328 21799219968996820956 22747012141561900128 23615821633079889369 24642596486692058472 27989121935502091104 29065626625329094608 30094498364278797072 31487762177439852492 32698829953495231434 32856795315589411296 36963894730038087708 41983682903253136656 43598439937993641912 47231643266159778738 49285192973384116944 58131253250658189216 60188996728557594144 62975524354879704984 65397659906990462868 70847464899239668107 73927789460076175416 83967365806506273312 87196879875987283824 94463286532319557476 98570385946768233888 125951048709759409968 130795319813980925736 141694929798479336214 147855578920152350832 174393759751974567648 188926573064639114952 212542394697719004321 251902097419518819936 261590639627961851472 283389859596958672428 295711157840304701664 377853146129278229904 425084789395438008642 523181279255923702944 566779719193917344856 755706292258556459808 850169578790876017284 1133559438387834689712 1700339157581752034568 2267118876775669379424 3400678315163504069136 6801356630327008138272
- Sum of all divisors σ(n): 22825267022069238182400
- Sum of proper divisors (its aliquot sum) s(n): 16023910391742230044128
- 6801356630327008138272 is an abundant number, because the sum of its proper divisors (16023910391742230044128) is greater than itself. Its abundance is 9222553761415221905856
Bases of 6801356630327008138272
- Binary: 10111000010110011110010001011110000100110100011010001011110010100001000002
- Hexadecimal: 0x170B3C8BC268D179420
- Base-36: 13VDIOS55EH0I00
Squares and roots of 6801356630327008138272
- 6801356630327008138272 squared (68013566303270081382722) is 46258452012893154838707382209216119471145984
- 6801356630327008138272 cubed (68013566303270081382723) is 314620229306554594415939876122854430767169329605025697450169499648
-
The
square root of 6801356630327008138272 is 82470337881.7318059511 -
The
cube root of 6801356630327008138272 is 18946624.5548625701
Scales and comparisons
How big is 6801356630327008138272?- 6,801,356,630,327,008,138,272 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 6,801,356,630,327,008,138,272 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 6801356630327008138272 cubic inches would be around 1578885.4 feet tall.
Recreational maths with 6801356630327008138272
- 6801356630327008138272 backwards is 2728318007230366531086
- 6801356630327008138272 is a
Harshad number . - The number of decimal digits it has is: 22
- The sum of 6801356630327008138272's digits is 81
- More coming soon!
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"Number 6801356630327008138272 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 6801356630327008138272 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/6801356630327008138272/
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Numbermatics. 2024. "Number 6801356630327008138272 - Facts about the integer". https://numbermatics.com/n/6801356630327008138272/
The information we have on file for 6801356630327008138272 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 6801356630327008138272, math, Factors of 6801356630327008138272, curriculum, school, college, exams, university, Prime factorization of 6801356630327008138272, STEM, science, technology, engineering, physics, economics, calculator, six sextillion, eight hundred one quintillion, three hundred fifty-six quadrillion, six hundred thirty trillion, three hundred twenty-seven billion, eight million, one hundred thirty-eight thousand, two hundred seventy-two.