13812067476480
13,812,067,476,480 is an even composite number composed of eight prime numbers multiplied together.
13812067476480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13812067476480:
210 × 3 × 5 × 7 × 132 × 17 × 61 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 17 × 61 × 733)See below for interesting mathematical facts about the number 13812067476480 from the Numbermatics database.
Names of 13812067476480
- Cardinal: 13812067476480 can be written as Thirteen trillion, eight hundred twelve billion, sixty-seven million, four hundred seventy-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.381206747648 × 1013
Factors of 13812067476480
Divisors of 13812067476480
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 56 60 61 64 65 68 70 78 80 84 85 91 96 102 104 105 112 119 120 122 128 130 136 140 156 160 168 169 170 182 183 192 195 204 208 210 221 224 238 240 244 255 256 260 272 273 280 305 312 320 336 338 340 357 364 366 384 390 408 416 420 427 442 448 455 476 480 488 507 510 512 520 544 546 560 595 610 624 640 663 672 676 680 714 728 732 733 768 780 793 816 832 840 845 854 884 896 910 915 952 960 976 1014 1020 1024 1037 1040 1088 1092 1105 1120 1183 1190 1220 1248 1280 1281 1326 1344 1352 1360 1365 1428 1456 1464 1466 1536 1547 1560 1586 1632 1664 1680 1690 1708 1768 1785 1792 1820 1830 1904 1920 1952 2028 2040 2074 2080 2135 2176 2184 2199 2210 2240 2366 2379 2380 2440 2496 2535 2560 2562 2652 2688 2704 2720 2730 2856 2873 2912 2928 2932 3072 3094 3111 3120 3172 3264 3315 3328 3360 3380 3416 3536 3549 3570 3584 3640 3660 3665 3808 3840 3904 3965 4056 4080 4148 4160 4270 4352 4368 4398 4420 4480 4641 4732 4758 4760 4880 4992 5070 5120 5124 5131 5185 5304 5376 5408 5440 5460 5551 5712 5746 5824 5856 5864 5915 6188 6222 6240 6344 6405 6528 6630 6656 6720 6760 6832 7072 7098 7140 7168 7259 7280 7320 7330 7616 7680 7735 7808 7930 8112 8160 8296 8320 8540 8619 8704 8736 8796 8840 8960 9282 9464 9516 9520 9529 9760 9984 10140 10248 10262 10309 10370 10608 10752 10816 10880 10920 10995 11102 11424 11492 11648 11712 11728 11830 11895 12376 12444 12461 12480 12688 12810 13056 13260 13312 13440 13481 13520 13664 14144 14196 14280 14365 14518 14560 14640 14660 15232 15360 15393 15470 15555 15616 15860 16224 16320 16592 16640 16653 17080 17238 17408 17472 17592 17680 17745 17920 18564 18928 19032 19040 19058 19520 19968 20111 20280 20496 20524 20618 20740 21216 21504 21632 21760 21777 21840 21990 22204 22848 22984 23205 23296 23424 23456 23660 23790 24752 24888 24922 24960 25376 25620 25655 26112 26520 26880 26962 27040 27328 27755 28288 28392 28560 28587 28730 29036 29120 29280 29320 30464 30786 30927 30940 31110 31232 31720 32448 32640 33184 33280 33306 34160 34476 34944 35184 35360 35490 35840 36295 37128 37383 37856 38064 38080 38116 39040 39936 40222 40443 40560 40992 41048 41236 41480 42432 43095 43264 43520 43554 43680 43980 44408 44713 45696 45968 46410 46592 46848 46912 47320 47580 47645 49504 49776 49844 49920 50752 51240 51310 51545 52224 53040 53760 53924 54080 54656 55510 56576 56784 57120 57174 57460 58072 58240 58560 58640 60333 60928 61572 61854 61880 62220 62305 62464 63440 64896 65280 66368 66560 66612 66703 67405 68320 68952 69888 70368 70720 70980 72163 72590 74256 74766 75712 76128 76160 76232 76965 78080 80444 80886 81120 81984 82096 82472 82960 83265 84864 86190 86528 87040 87108 87227 87360 87960 88816 89426 91392 91936 92820 93184 93696 93824 94367 94640 95160 95290 99008 99552 99688 99840 100555 101504 102480 102620 103090 106080 107520 107848 108160 108885 109312 111020 113152 113568 114240 114348 114920 116144 116480 117120 117280 120666 121856 123144 123708 123760 123877 124440 124610 126880 129792 130560 132736 133224 133406 134139 134810 136640 137904 139776 140736 141440 141960 142935 144326 145180 148512 149532 151424 152256 152320 152464 153930 154635 156160 160888 161772 161993 162240 163968 164192 164944 165920 166530 169728 172380 173056 174216 174454 174720 175253 175920 177632 178852 182784 183872 185640 186915 187392 187648 188734 189280 190320 190580 198016 199104 199376 199680 200109 201110 202215 203008 204960 205240 206180 212160 215696 216320 216489 217770 218624 222040 223565 226304 227136 228480 228696 229840 232288 232960 234240 234560 241332 246288 247416 247520 247754 248880 249220 253760 259584 261120 261681 265472 266448 266812 268278 269620 273280 275808 279552 281472 282880 283101 283920 285870 288652 290360 297024 299064 301665 302848 304512 304640 304928 307860 309270 312320 312991 321776 323544 323986 324480 327936 328384 329888 331840 333060 333515 339456 344760 348432 348908 349440 350506 351840 355264 357704 360815 365568 367744 371280 371631 373830 375296 377468 378560 380640 381160 396032 398208 398752 400218 402220 404430 406016 409920 410480 412360 424320 431392 432640 432978 435540 436135 437248 444080 447130 454272 456960 457392 459680 464576 465920 468480 469120 471835 482664 485979 492576 494832 495040 495508 497760 498440 507520 519168 523362 525759 530944 532896 533624 536556 539240 546560 551616 562944 565760 566202 567840 571740 577304 580720 581269 594048 598128 603330 605696 609024 609280 609856 615720 618540 619385 625982 643552 647088 647972 648960 655872 656768 659776 663680 666120 667030 670695 678912 689520 696864 697816 698880 701012 703680 710528 715408 721630 735488 742560 743262 747660 750592 754936 757120 760121 761280 762320 792064 796416 797504 800436 804440 808860 809965 812032 819840 820960 824720 848640 862784 865280 865956 867139 871080 872270 876265 888160 894260 908544 913920 914784 919360 929152 936960 938240 938973 943670 965328 971958 985152 989664 990080 991016 995520 996880 1000545 1015040 1046724 1051518 1061888 1065792 1067248 1073112 1078480 1082445 1093120 1103232 1125888 1131520 1132404 1133951 1135680 1143480 1154608 1161440 1162538 1188096 1196256 1206660 1211392 1218048 1219712 1226771 1231440 1237080 1238770 1251964 1287104 1294176 1295944 1297920 1308405 1311744 1313536 1319552 1327360 1332240 1334060 1341390 1379040 1393728 1395632 1397760 1402024 1407360 1415505 1421056 1430816 1443260 1470976 1485120 1486524 1495320 1509872 1514240 1520242 1522560 1524640 1564955 1584128 1592832 1595008 1600872 1608880 1617720 1619930 1639680 1641920 1649440 1697280 1725568 1731912 1734278 1742160 1743807 1744540 1752530 1776320 1788520 1817088 1827840 1829568 1838720 1858155 1858304 1876480 1877946 1887340 1930656 1943916 1970304 1979328 1980160 1982032 1991040 1993760 2001090 2030080 2093448 2103036 2105909 2131584 2134496 2146224 2156960 2164890 2186240 2206464 2251776 2264808 2267902 2271360 2280363 2286960 2309216 2322880 2325076 2376192 2392512 2413320 2429895 2436096 2439424 2453542 2462880 2474160 2477540 2503928 2574208 2588352 2591888 2595840 2601417 2616810 2627072 2628795 2639104 2654720 2664480 2668120 2682780 2758080 2787456 2791264 2804048 2814720 2831010 2842112 2861632 2886520 2906345 2941952 2970240 2973048 2990640 3019744 3028480 3040484 3045120 3049280 3129910 3185664 3190016 3201744 3217760 3235440 3239860 3279360 3283840 3298880 3394560 3401853 3451136 3463824 3468556 3484320 3487614 3489080 3505060 3552640 3577040 3634176 3659136 3677440 3680313 3716310 3716608 3752960 3755892 3774680 3800605 3861312 3887832 3940608 3958656 3960320 3964064 3982080 3987520 4002180 4060160 4068883 4186896 4206072 4211818 4263168 4268992 4292448 4313920 4329780 4335695 4412928 4529616 4535804 4542720 4560726 4573920 4618432 4645760 4650152 4694865 4752384 4785024 4826640 4859790 4878848 4907084 4925760 4948320 4955080 5007856 5148416 5176704 5183776 5202834 5233620 5254144 5257590 5278208 5309440 5320847 5328960 5336240 5365560 5516160 5574912 5582528 5608096 5629440 5662020 5669755 5684224 5723264 5773040 5812690 5940480 5946096 5981280 6039488 6056960 6080968 6090240 6098560 6133855 6259820 6317727 6380032 6403488 6435520 6470880 6479720 6558720 6567680 6597760 6803706 6902272 6927648 6937112 6968640 6975228 6978160 7010120 7105280 7154080 7318272 7354880 7360626 7432620 7433216 7511784 7549360 7556497 7601210 7722624 7775664 7881216 7917312 7920640 7928128 7964160 7975040 8004360 8137766 8373792 8412144 8423636 8526336 8537984 8584896 8627840 8659560 8671390 8719035 8825856 9059232 9071608 9085440 9121452 9147840 9236864 9291520 9300304 9389730 9570048 9653280 9719580 9757696 9814168 9851520 9881573 9896640 9910160 10015712 10296832 10353408 10367552 10405668 10467240 10515180 10529545 10556416 10641694 10657920 10672480 10731120 11032320 11149824 11165056 11216192 11258880 11324040 11339510 11401815 11446528 11546080 11625380 11880960 11892192 11962560 12078976 12161936 12180480 12197120 12206649 12267710 12519640 12635454 12760064 12806976 12871040 12941760 12959440 13007085 13135360 13195520 13607412 13804544 13855296 13874224 13937280 13950456 13956320 14020240 14210560 14308160 14636544 14709760 14721252 14741363 14865240 15023568 15098720 15112994 15202420 15445248 15551328 15762432 15834624 15856256 15928320 15950080 15962541 16008720 16275532 16747584 16824288 16847272 17009265 17052672 17075968 17169792 17255680 17319120 17342780 17438070 18118464 18143216 18170880 18242904 18295680 18401565 18473728 18583040 18600608 18779460 19140096 19306560 19439160 19628336 19703040 19763146 19793280 19820320 20031424 20344415 20593664 20706816 20735104 20811336 20934480 21030360 21059090 21283388 21315840 21344960 21462240 22064640 22299648 22330112 22432384 22648080 22669491 22679020 22803630 22893056 23092160 23250760 23761920 23784384 23925120 24157952 24323872 24394240 24413298 24535420 25039280 25270908 25613952 25742080 25883520 25918880 26014170 26270720 26391040 26604235 27214824 27710592 27748448 27874560 27900912 27912640 28040480 28421120 28616320 29273088 29442504 29482726 29644719 29730480 30047136 30197440 30225988 30404840 30890496 31102656 31588635 31669248 31712512 31900160 31925082 32017440 32551064 33495168 33648576 33694544 34018530 34151936 34339584 34511360 34638240 34685560 34876140 36236928 36286432 36485808 36591360 36803130 36947456 37166080 37201216 37558920 37782485 38280192 38613120 38878320 39256672 39406080 39526292 39586560 39640640 40062848 40688830 41413632 41470208 41622672 41868960 42060720 42118180 42566776 42631680 42689920 42924480 44129280 44224089 44660224 44864768 45296160 45338982 45358040 45607260 45786112 46184320 46501520 47568768 47850240 48315904 48647744 48788480 48826596 49070840 49407865 50078560 50541816 51227904 51484160 51767040 51837760 52028340 52782080 52895479 53208470 54429648 55421184 55496896 55749120 55801824 55825280 56080960 57232640 58885008 58965452 59289438 59460960 60094272 60394880 60451976 60809680 61033245 61780992 62205312 63177270 63425024 63800320 63850164 64034880 65102128 66990336 67297152 67389088 68037060 68303872 68679168 69022720 69171011 69276480 69371120 69752280 72473856 72572864 72971616 73182720 73606260 73706815 73894912 74402432 75117840 75564970 77226240 77756640 78513344 78812160 79052584 79173120 79281280 79812705 80125696 81377660 82940416 83245344 83737920 84121440 84236360 85133552 85263360 85379840 85848960 88448178 89320448 89729536 90592320 90677964 90716080 91214520 92368640 93003040 95137536 95700480 96631808 97295488 97653192 98141680 98815730 100157120 101083632 102455808 102968320 103534080 103675520 104056680 105790958 106416940 108859296 110842368 110993792 111498240 111603648 111650560 112161920 113347455 114465280 117770016 117930904 118578876 118921920 120188544 120789760 120903952 121619360 122066490 124410624 126354540 126850048 127700328 128069760 128460449 130204256 133980672 134594304 134778176 136074120 137358336 138342022 138552960 138742240 139504560 144947712 145145728 145943232 146365440 147212520 147413630 148223595 148804864 150235680 151129940 154452480 155513280 157026688 158105168 158346240 158562560 158686437 159625410 160251392 162755320 165880832 166490688 167475840 168242880 168472720 170267104 170759680 171697920 176896356 179459072 181184640 181355928 181432160 182429040 184737280 186006080 190275072 191400960 194590976 195306384 196283360 197631460 200314240 202167264 204911616 207068160 207351040 207513033 208113360 211581916 212833880 217718592 221120445 221684736 221987584 223207296 223301120 224323840 226694910 228930560 235540032 235861808 237157752 237843840 240377088 241579520 241807904 243238720 244132980 248821248 252709080 255400656 256139520 256920898 260408512 264477395 267961344 269188608 269556352 272148240 276684044 277105920 277484480 279009120 289895424 290291456 291886464 294425040 294827260 296447190 297609728 300471360 302259880 308904960 311026560 314053376 316210336 317125120 317372874 319250820 320502784 325510640 332981376 334951680 336485760 336945440 340534208 341519360 343395840 345855055 353792712 362369280 362711856 362864320 364858080 369474560 372012160 380550144 385381347 389181952 390612768 392566720 395262920 400628480 404334528 414702080 415026066 416226720 423163832 425667760 435437184 442240890 443975168 446414592 446602240 448647680 453389820 471080064 471723616 474315504 475687680 480754176 483159040 483615808 486477440 488265960 497642496 505418160 510801312 512279040 513841796 520817024 528954790 538377216 539112704 544296480 553368088 554211840 554968960 558018240 580582912 583772928 588850080 589654520 592894380 595219456 600942720 604519760 622053120 628106752 632420672 634250240 634745748 638501640 642302245 651021280 665962752 669903360 672971520 673890880 681068416 686791680 691710110 707585424 724738560 725423712 725728640 729716160 744024320 770762694 778363904 781225536 785133440 790525840 793432185 801256960 808669056 829404160 830052132 832453440 846327664 851335520 870874368 884481780 887950336 892829184 897295360 899223143 906779640 942160128 943447232 948631008 951375360 961508352 967231616 972954880 976531920 1010836320 1021602624 1024558080 1027683592 1037565165 1041634048 1057909580 1078225408 1088592960 1106736176 1108423680 1109937920 1116036480 1161165824 1167545856 1177700160 1179309040 1185788760 1201885440 1209039520 1244106240 1256213504 1264841344 1269491496 1277003280 1284604490 1302042560 1331925504 1339806720 1345943040 1347781760 1362136832 1383420220 1415170848 1449477120 1450847424 1451457280 1459432320 1488048640 1541525388 1562451072 1570266880 1581051680 1586864370 1602513920 1617338112 1660104264 1664906880 1692655328 1702671040 1741748736 1768963560 1785658368 1798446286 1813559280 1884320256 1886894464 1897262016 1902750720 1926906735 1934463232 1945909760 1953063840 2021672640 2043205248 2055367184 2075130330 2083268096 2115819160 2156450816 2177185920 2213472352 2219875840 2232072960 2335091712 2355400320 2358618080 2371577520 2403770880 2418079040 2488212480 2529682688 2538982992 2554006560 2569208980 2604085120 2663851008 2691886080 2695563520 2697669429 2724273664 2766840440 2830341696 2901694848 2902914560 2918864640 2976097280 3083050776 3124902144 3140533760 3162103360 3173728740 3234676224 3320208528 3329813760 3385310656 3405342080 3483497472 3537927120 3596892572 3627118560 3768640512 3773788928 3794524032 3853813470 3868926464 3891819520 3906127680 4043345280 4086410496 4110734368 4150260660 4166536192 4231638320 4354371840 4426944704 4439751680 4464145920 4496115715 4710800640 4717236160 4743155040 4807541760 4836158080 5059365376 5077965984 5108013120 5138417960 5208170240 5391127040 5395338858 5448547328 5533680880 5660683392 5803389696 5805829120 5837729280 6166101552 6249804288 6281067520 6324206720 6347457480 6469352448 6640417056 6659627520 6770621312 6810684160 7075854240 7193785144 7254237120 7547577856 7589048064 7707626940 7737852928 7812255360 8086690560 8172820992 8221468736 8300521320 8463276640 8708743680 8853889408 8928291840 8992231430 9421601280 9434472320 9486310080 9672316160 10118730752 10155931968 10216026240 10276835920 10416340480 10782254080 10790677716 11067361760 11321366784 11606779392 11675458560 12332203104 12499608576 12648413440 12694914960 13280834112 13319255040 13488347145 13541242624 13621368320 14151708480 14387570288 14508474240 15095155712 15178096128 15415253880 15624510720 16173381120 16345641984 16442937472 16601042640 16926553280 17417487360 17707778816 17984462860 18843202560 18868944640 18972620160 19344632320 20311863936 20432052480 20553671840 20832680960 21581355432 22134723520 22642733568 23213558784 24664406208 25296826880 25389829920 26561668224 26976694290 27082485248 27242736640 28303416960 28775140576 29016948480 30356192256 30830507760 31249021440 32346762240 32885874944 33202085280 33853106560 35415557632 35968925720 37737889280 37945240320 38689264640 40623727872 40864104960 41107343680 43162710864 44269447040 45285467136 49328812416 50593653760 50779659840 53123336448 53953388580 54164970496 56606833920 57550281152 58033896960 61661015520 62498042880 65771749888 66404170560 67706213120 70831115264 71937851440 75475778560 75890480640 81247455744 81728209920 82214687360 86325421728 88538894080 98657624832 101559319680 106246672896 107906777160 113213667840 115100562304 116067793920 123322031040 131543499776 132808341120 135412426240 143875702880 151780961280 162494911488 164429374720 172650843456 177077788160 197315249664 203118639360 212493345792 215813554320 226427335680 230201124608 246644062080 265616682240 270824852480 287751405760 328858749440 345301686912 354155576320 394630499328 406237278720 431627108640 460402249216 493288124160 531233364480 575502811520 657717498880 690603373824 812474557440 863254217280 920804498432 986576248320 1062466728960 1151005623040 1381206747648 1726508434560 1973152496640 2302011246080 2762413495296 3453016869120 4604022492160 6906033738240 13812067476480
- Sum of all divisors σ(n): 58915615016448
- Sum of proper divisors (its aliquot sum) s(n): 45103547539968
- 13812067476480 is an abundant number, because the sum of its proper divisors (45103547539968) is greater than itself. Its abundance is 31291480063488
Bases of 13812067476480
- Binary: 110010001111110111110110000000100100000000002
- Hexadecimal: 0xC8FDF602400
- Base-36: 4W96CCWLC
Squares and roots of 13812067476480
- 13812067476480 squared (138120674764802) is 190773207974836595353190400
- 13812067476480 cubed (138120674764803) is 2634972421252995504920295422444961792000
-
The
square root of 13812067476480 is 3716458.9970131515 -
The
cube root of 13812067476480 is 23993.0926166375
Scales and comparisons
How big is 13812067476480?- 13,812,067,476,480 seconds is equal to 439,181 years, 1 week, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 13,812,067,476,480 would take you about one million, ninety-seven thousand, nine hundred fifty-two 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 13812067476480 cubic inches would be around 1999.4 feet tall.
Recreational maths with 13812067476480
- 13812067476480 backwards is 08467476021831
- The number of decimal digits it has is: 14
- The sum of 13812067476480's digits is 57
- 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 13812067476480 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 13812067476480 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13812067476480/
Chicago style:
Numbermatics. 2024. "Number 13812067476480 - Facts about the integer". https://numbermatics.com/n/13812067476480/
The information we have on file for 13812067476480 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 13812067476480, math, Factors of 13812067476480, curriculum, school, college, exams, university, Prime factorization of 13812067476480, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred twelve billion, sixty-seven million, four hundred seventy-six thousand, four hundred eighty.