13628680944978204672
13,628,680,944,978,204,672 is an even composite number composed of five prime numbers multiplied together.
13628680944978204672 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 13628680944978204672:
211 × 3 × 73 × 313 × 6013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 31 × 31 × 31 × 601 × 601 × 601)See below for interesting mathematical facts about the number 13628680944978204672 from the Numbermatics database.
Names of 13628680944978204672
- Cardinal: 13628680944978204672 can be written as Thirteen quintillion, six hundred twenty-eight quadrillion, six hundred eighty trillion, nine hundred forty-four billion, nine hundred seventy-eight million, two hundred four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3628680944978204672 × 1019
Factors of 13628680944978204672
Divisors of 13628680944978204672
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 84 93 96 98 112 124 128 147 168 186 192 196 217 224 248 256 294 336 343 372 384 392 434 448 496 512 588 601 651 672 686 744 768 784 868 896 961 992 1024 1029 1176 1202 1302 1344 1372 1488 1519 1536 1568 1736 1792 1803 1922 1984 2048 2058 2352 2404 2604 2688 2744 2883 2976 3038 3072 3136 3472 3584 3606 3844 3968 4116 4207 4557 4704 4808 5208 5376 5488 5766 5952 6076 6144 6272 6727 6944 7168 7212 7688 7936 8232 8414 9114 9408 9616 10416 10633 10752 10976 11532 11904 12152 12544 12621 13454 13888 14336 14424 15376 15872 16464 16828 18228 18631 18816 19232 20181 20832 21266 21504 21952 23064 23808 24304 25088 25242 26908 27776 28848 29449 29791 30752 31744 31899 32928 33656 36456 37262 37632 38464 40362 41664 42532 43008 43904 46128 47089 47616 48608 50176 50484 53816 55552 55893 57696 58898 59582 61504 63488 63798 65856 67312 72912 74524 75264 76928 80724 83328 85064 87808 88347 89373 92256 94178 95232 97216 100352 100968 107632 111104 111786 115392 117796 119164 123008 127596 130417 131712 134624 141267 145824 149048 150528 153856 161448 166656 170128 175616 176694 178746 184512 188356 190464 194432 201936 206143 208537 215264 222208 223572 230784 235592 238328 246016 255192 260834 263424 269248 282534 291648 298096 301056 307712 322896 329623 333312 340256 351232 353388 357492 361201 369024 376712 388864 391251 403872 412286 417074 430528 444416 447144 461568 471184 476656 492032 510384 521668 526848 538496 565068 577561 583296 596192 615424 618429 625611 645792 659246 666624 680512 702464 706776 714984 722402 738048 753424 777728 782502 807744 824572 834148 861056 894288 912919 923136 942368 953312 984064 988869 1020768 1043336 1053696 1076992 1083603 1130136 1155122 1166592 1192384 1230848 1236858 1251222 1291584 1318492 1333248 1361024 1413552 1429968 1444804 1459759 1476096 1506848 1555456 1565004 1615488 1649144 1668296 1722112 1732683 1788576 1825838 1846272 1884736 1906624 1968128 1977738 2041536 2086672 2107392 2153984 2167206 2260272 2310244 2333184 2384768 2473716 2502444 2528407 2583168 2636984 2722048 2738757 2827104 2859936 2889608 2919518 2952192 3013696 3110912 3130008 3230976 3298288 3336592 3444224 3465366 3577152 3651676 3692544 3769472 3813248 3955476 4042927 4083072 4173344 4307968 4334412 4379277 4520544 4620488 4666368 4769536 4947432 5004888 5056814 5166336 5273968 5444096 5477514 5654208 5719872 5779216 5839036 5904384 6027392 6260016 6390433 6461952 6596576 6673184 6888448 6930732 7154304 7303352 7538944 7585221 7626496 7910952 8085854 8166144 8346688 8615936 8668824 8758554 9041088 9240976 9332736 9539072 9894864 10009776 10113628 10218313 10332672 10547936 10888192 10955028 11197231 11308416 11439744 11558432 11678072 12054784 12128781 12520032 12780866 12923904 13193152 13346368 13776896 13861464 14308608 14606704 15077888 15170442 15252992 15821904 16171708 16332288 16693376 17337648 17517108 17698849 17904391 18082176 18481952 19078144 19171299 19789728 20019552 20227256 20436626 20665344 21095872 21776384 21910056 22394462 22616832 22879488 23116864 23356144 24109568 24257562 25040064 25561732 25847808 26386304 26692736 27722928 28300489 28617216 29213408 30155776 30340884 30505984 30654939 31643808 32343416 32664576 33386752 33591693 34675296 35034216 35397698 35808782 36164352 36963904 38156288 38342598 39579456 40039104 40454512 40873252 41330688 42191744 43820112 44788924 45233664 45758976 46233728 46712288 48219136 48515124 50080128 51123464 52772608 53096547 53385472 53713173 55445856 56600978 57234432 58426816 60311552 60681768 61011968 61309878 63287616 64686832 65329152 66773504 67183386 69350592 70068432 70795396 71617564 72328704 73927808 76685196 78380617 79158912 80078208 80909024 81746504 84383488 84901467 87640224 89577848 90467328 91517952 92467456 93424576 96438272 97030248 100160256 102246928 105545216 106193094 106770944 107426346 110891712 113201956 114468864 116853632 121363536 122619756 123891943 125330737 126575232 129373664 133547008 134366772 138701184 140136864 141590792 143235128 144657408 147855616 153370392 156761234 158317824 160156416 161818048 163493008 168766976 169802934 175280448 179155696 180934656 183035904 184934912 186849152 194060496 198103423 200320512 204493856 211090432 212386188 213541888 214852692 217081801 221783424 226403912 233707264 235141851 242727072 245239512 247783886 250661474 253150464 258747328 267094016 268733544 277402368 280273728 283181584 286470256 289314816 295711232 306740784 313522468 316635648 320312832 323636096 326986016 337533952 339605868 347114161 350560896 358311392 369869824 371675829 373698304 375992211 388120992 396206846 400641024 408987712 422180864 424772376 427083776 429705384 434163602 443566848 452807824 467414528 470283702 485454144 490479024 495567772 501322948 506300928 517494656 537467088 548664319 554804736 560547456 566363168 572940512 591422464 594310269 613481568 627044936 633271296 640625664 647272192 651245403 653972032 675067904 679211736 694228322 701121792 716622784 739739648 743351658 747396608 751984422 776241984 792413692 801282048 817975424 849544752 859410768 868327204 877315159 887133696 905615648 934829056 940567404 970908288 980958048 991135544 1002645896 1012601856 1034989312 1041342483 1074934176 1097328638 1109609472 1121094912 1132726336 1145881024 1182844928 1188620538 1226963136 1254089872 1266542592 1281251328 1294544384 1302490806 1307944064 1358423472 1388456644 1402243584 1433245568 1486703316 1494793216 1503968844 1519572607 1552483968 1584827384 1635950848 1645992957 1699089504 1718821536 1736654408 1754630318 1774267392 1811231296 1869658112 1881134808 1941816576 1961916096 1982271088 2005291792 2025203712 2069978624 2082684966 2149868352 2194657276 2219218944 2242189824 2265452672 2291762048 2377241076 2429799127 2453926272 2508179744 2589088768 2604981612 2615888128 2631945477 2716846944 2776913288 2804487168 2866491136 2973406632 2989586432 3007937688 3039145214 3104967936 3169654768 3271901696 3291985914 3398179008 3437643072 3473308816 3509260636 3548534784 3622462592 3762269616 3840650233 3883633152 3923832192 3964542176 4010583584 4139957248 4165369932 4299736704 4389314552 4484379648 4530905344 4558717821 4583524096 4754482152 4859598254 4907852544 5016359488 5178177536 5209963224 5231776256 5263890954 5433693888 5553826576 5608974336 5732982272 5946813264 6015875376 6078290428 6141206113 6209935872 6339309536 6543803392 6583971828 6729535831 6796358016 6875286144 6946617632 7018521272 7244925184 7289397381 7524539232 7681300466 7767266304 7847664384 7929084352 8021167168 8279914496 8330739864 8599473408 8778629104 8968759296 9061810688 9117435642 9167048192 9508964304 9719196508 9815705088 10032718976 10419926448 10463552512 10527781908 10637008249 10760538991 10867387776 11107653152 11465964544 11521950699 11893626528 12031750752 12156580856 12282412226 12419871744 12678619072 13087606784 13167943656 13459071662 13592716032 13750572288 13893235264 14037042544 14489850368 14578794762 15049078464 15362600932 15534532608 15695328768 15858168704 16042334336 16661479728 17008593889 17198946816 17557258208 18123621376 18234871284 18334096384 18423618339 19017928608 19438393016 19631410176 20065437952 20188607493 20839852896 20927105024 21055563816 21274016498 21521077982 21734775552 22215306304 22931929088 23043901398 23787253056 24063501504 24313161712 24564824452 24839743488 25357238144 26335887312 26918143324 27185432064 27501144576 27786470528 28074085088 28979700736 29157589524 30098156928 30725201864 31390657536 31716337408 31911024747 32084668672 32281616973 33322959456 34017187778 34397893632 35114516416 36247242752 36469742568 36668192768 36847236678 38035857216 38876786032 39262820352 40130875904 40377214986 41679705792 42111127632 42548032996 43042155964 43469551104 44430612608 46087802796 47106750817 47574506112 48127003008 48626323424 49129648904 50714476288 51025781667 52671774624 53836286648 54370864128 55002289152 55572941056 56148170176 57959401472 58315179048 60196313856 61450403728 62781315072 63432674816 63822049494 64169337344 64563233946 66645918912 68034375556 68795787264 70229032832 72939485136 73694473356 74459057743 75323772937 76071714432 77753572064 80261751808 80754429972 83359411584 84222255264 85096065992 86084311928 86939102208 88861225216 92175605592 94213501634 95149012224 96254006016 97252646848 98259297808 101428952576 102051563334 105343549248 107672573296 108741728256 110004578304 111145882112 112296340352 116630358096 119060157223 120392627712 122900807456 126865349632 127644098988 128338674688 129126467892 133291837824 136068751112 140458065664 141320252451 145878970272 147388946712 148918115486 150647545874 152143428864 155507144128 160523503616 161508859944 166718823168 168444510528 170192131984 172168623856 173878204416 177722450432 184351211184 188427003268 190298024448 192508012032 194505293696 196518595616 202857905152 204103126668 208615610761 210687098496 215345146592 222291764224 223377173229 224592680704 225971318811 233260716192 238120314446 240785255424 245801614912 253730699264 255288197976 256677349376 258252935784 266583675648 272137502224 280916131328 282640504902 291757940544 294777893424 297836230972 301295091748 304286857728 311014288256 323017719888 329747255719 333437646336 336889021056 340384263968 344337247712 355444900864 357180471669 368702422368 376854006536 380596048896 385016024064 389010587392 393037191232 405715810304 408206253336 417231221522 421374196992 430690293184 444583528448 446754346458 449185361408 451942637622 466521432384 476240628892 481570510848 491603229824 510576395952 516505871568 527266410559 533167351296 544275004448 561832262656 565281009804 583515881088 589555786848 595672461944 602590183496 608573715456 622028576512 625846832283 646035439776 659494511438 666875292672 673778042112 680768527936 688674495424 710889801728 714360943338 737404844736 753708013072 761192097792 770032048128 778021174784 786074382464 816412506672 834462443044 842748393984 861380586368 893508692916 898370722816 903885275244 933042864768 952481257784 983206459648 989241767157 1021152791904 1033011743136 1054532821118 1066334702592 1088550008896 1123664525312 1130562019608 1167031762176 1179111573696 1191344923888 1205180366992 1217147430912 1244057153024 1251693664566 1292070879552 1318989022876 1333750585344 1347556084224 1361537055872 1377348990848 1428721886676 1460309275327 1474809689472 1507416026144 1556042349568 1572148764928 1581799231677 1632825013344 1668924886088 1685496787968 1722761172736 1787017385832 1796741445632 1807770550488 1866085729536 1904962515568 1966412919296 1978483534314 2042305583808 2066023486272 2109065642236 2132669405184 2177100017792 2261124039216 2308230790033 2334063524352 2358223147392 2382689847776 2410360733984 2488114306048 2503387329132 2584141759104 2637978045752 2695112168448 2723074111744 2754697981696 2857443773352 2920618550654 2949619378944 3014832052288 3112084699136 3144297529856 3163598463354 3265650026688 3337849772176 3370993575936 3445522345472 3574034771664 3615541100976 3690864873913 3732171459072 3809925031136 3932825838592 3956967068628 4084611167616 4132046972544 4218131284472 4354200035584 4380927825981 4522248078432 4616461580066 4668127048704 4716446294784 4765379695552 4820721467968 4976228612096 5006774658264 5168283518208 5275956091504 5390224336896 5446148223488 5509395963392 5714887546704 5841237101308 5899238757888 6029664104576 6288595059712 6327196926708 6467083933591 6531300053376 6675699544352 6891044690944 6924692370099 7148069543328 7231082201952 7381729747826 7464342918144 7619850062272 7865651677184 7913934137256 8169222335232 8264093945088 8436262568944 8708400071168 8761855651962 9044496156864 9232923160132 9336254097408 9432892589568 9530759391104 9641442935936 10013549316528 10222164927289 10336567036416 10551912183008 10892296446976 11018791926784 11072594621739 11429775093408 11682474202616 11798477515776 12059328209152 12577190119424 12654393853416 12934167867182 13062600106752 13351399088704 13782089381888 13849384740198 14296139086656 14462164403904 14763459495652 14928685836288 15239700124544 15827868274512 16338444670464 16528187890176 16872525137888 17416800142336 17523711303924 18088992313728 18465846320264 18865785179136 19061518782208 19282885871872 19401251800773 20027098633056 20444329854578 20673134072832 21103824366016 21784592893952 22037583853568 22145189243478 22859550186816 23364948405232 23596955031552 24118656418304 25308787706832 25868335734364 26125200213504 26702798177408 27698769480396 28592278173312 28924328807808 29526918991304 30479400249088 30666494781867 31655736549024 32676889340928 33056375780352 33745050275776 34833600284672 35047422607848 36177984627456 36931692640528 37731570358272 38123037564416 38565771743744 38802503601546 40054197266112 40888659709156 41346268145664 42207648732032 44290378486956 45269587535137 45719100373632 46729896810464 48237312836608 50617575413664 51736671468728 52250400427008 53405596354816 55397538960792 57184556346624 57848657615616 59053837982608 60958800498176 61332989563734 63311473098048 65353778681856 66112751560704 67490100551552 70094845215696 71555154491023 72355969254912 73863385281056 76246075128832 77131543487488 77605007203092 80108394532224 81777319418312 84415297464064 88580756973912 90539175070274 91438200747264 93459793620928 96474625673216 101235150827328 103473342937456 104500800854016 106811192709632 110795077921584 114369112693248 115697315231232 118107675965216 121917600996352 122665979127468 126622946196096 134980201103104 135808762605411 140189690431392 143110308982046 144711938509824 147726770562112 152492150257664 154263086974976 155210014406184 160216789064448 163554638836624 168830594928128 177161513947824 181078350140548 182876401494528 186919587241856 202470301654656 206946685874912 213622385419264 214665463473069 221590155843168 228738225386496 231394630462464 236215351930432 243835201992704 245331958254936 253245892392192 269960402206208 271617525210822 280379380862784 286220617964092 289423877019648 295453541124224 310420028812368 316887112745959 320433578128896 327109277673248 337661189856256 354323027895648 362156700281096 365752802989056 373839174483712 404940603309312 413893371749824 427244770838528 429330926946138 443180311686336 457476450772992 462789260924928 472430703860864 490663916509872 506491784784384 539920804412416 543235050421644 560758761725568 572441235928184 590907082248448 620840057624736 633774225491918 640867156257792 654218555346496 675322379712512 708646055791296 724313400562192 731505605978112 747678348967424 809881206618624 827786743499648 858661853892276 886360623372672 944861407721728 950661338237877 981327833019744 1012983569568768 1079841608824832 1086470100843288 1121517523451136 1144882471856368 1181814164496896 1241680115249472 1267548450983836 1281734312515584 1308437110692992 1417292111582592 1448626801124384 1495356697934848 1619762413237248 1655573486999296 1717323707784552 1772721246745344 1889722815443456 1901322676475754 1962655666039488 2025967139137536 2172940201686576 2218209789221713 2243035046902272 2289764943712736 2363628328993792 2483360230498944 2535096901967672 2616874221385984 2834584223165184 2897253602248768 2990713395869696 3239524826474496 3311146973998592 3434647415569104 3545442493490688 3779445630886912 3802645352951508 3925311332078976 4345880403373152 4436419578443426 4486070093804544 4579529887425472 4727256657987584 4966720460997888 5070193803935344 5233748442771968 5669168446330368 5794507204497536 6622293947997184 6654629367665139 6869294831138208 7090884986981376 7558891261773824 7605290705903016 7850622664157952 8691760806746304 8872839156886852 8972140187609088 9159059774850944 9933440921995776 10140387607870688 10467496885543936 11338336892660736 11589014408995072 13244587895994368 13309258735330278 13738589662276416 14181769973962752 15210581411806032 15701245328315904 17383521613492608 17745678313773704 18318119549701888 19866881843991552 20280775215741376 20934993771087872 22676673785321472 23178028817990144 26618517470660556 27477179324552832 30421162823612064 31402490656631808 34767043226985216 35491356627547408 36636239099403776 39733763687983104 40561550431482752 46356057635980288 53237034941321112 54954358649105664 60842325647224128 62804981313263616 69534086453970432 70982713255094816 73272478198807552 81123100862965504 92712115271960576 106474069882642224 109908717298211328 121684651294448256 139068172907940864 141965426510189632 146544956397615104 162246201725931008 212948139765284448 219817434596422656 243369302588896512 278136345815881728 283930853020379264 324492403451862016 425896279530568896 439634869192845312 486738605177793024 567861706040758528 648984806903724032 851792559061137792 973477210355586048 1135723412081517056 1703585118122275584 1946954420711172096 2271446824163034112 3407170236244551168 4542893648326068224 6814340472489102336 13628680944978204672
- Sum of all divisors σ(n): 43857672149071872000
- Sum of proper divisors (its aliquot sum) s(n): 30228991204093667328
- 13628680944978204672 is an abundant number, because the sum of its proper divisors (30228991204093667328) is greater than itself. Its abundance is 16600310259115462656
Bases of 13628680944978204672
- Binary: 10111101001000101100110100011100100100101000111110011000000000002
- Hexadecimal: 0xBD22CD1C928F9800
- Base-36: 2VJLG6WZXP62O
Squares and roots of 13628680944978204672
- 13628680944978204672 squared (136286809449782046722) is 185740944300012009882193225116322627584
- 13628680944978204672 cubed (136286809449782046723) is 2531404068283831757548550009791599960325604097057984872448
-
The
square root of 13628680944978204672 is 3691704341.4902830855 -
The
cube root of 13628680944978204672 is 2388643.1579372461
Scales and comparisons
How big is 13628680944978204672?- 13,628,680,944,978,204,672 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,628,680,944,978,204,672 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 13628680944978204672 cubic inches would be around 199053.6 feet tall.
Recreational maths with 13628680944978204672
- 13628680944978204672 backwards is 27640287944908682631
- 13628680944978204672 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13628680944978204672's digits is 96
- More coming soon!
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Cite this page
MLA style:
"Number 13628680944978204672 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13628680944978204672 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13628680944978204672/
Chicago style:
Numbermatics. 2024. "Number 13628680944978204672 - Facts about the integer". https://numbermatics.com/n/13628680944978204672/
The information we have on file for 13628680944978204672 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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