13406540978012160
13,406,540,978,012,160 is an even composite number composed of eight prime numbers multiplied together.
13406540978012160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13406540978012160:
214 × 3 × 5 × 11 × 37 × 41 × 53 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 37 × 41 × 53 × 61681)See below for interesting mathematical facts about the number 13406540978012160 from the Numbermatics database.
Names of 13406540978012160
- Cardinal: 13406540978012160 can be written as Thirteen quadrillion, four hundred six trillion, five hundred forty billion, nine hundred seventy-eight million, twelve thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.340654097801216 × 1016
Factors of 13406540978012160
Divisors of 13406540978012160
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 37 40 41 44 48 53 55 60 64 66 74 80 82 88 96 106 110 111 120 123 128 132 148 159 160 164 165 176 185 192 205 212 220 222 240 246 256 264 265 296 318 320 328 330 352 370 384 407 410 424 440 444 451 480 492 512 528 530 555 583 592 615 636 640 656 660 704 740 768 795 814 820 848 880 888 902 960 984 1024 1056 1060 1110 1166 1184 1221 1230 1272 1280 1312 1320 1353 1408 1480 1517 1536 1590 1628 1640 1696 1749 1760 1776 1804 1920 1961 1968 2035 2048 2112 2120 2173 2220 2255 2332 2368 2442 2460 2544 2560 2624 2640 2706 2816 2915 2960 3034 3072 3180 3256 3280 3392 3498 3520 3552 3608 3840 3922 3936 4070 4096 4224 4240 4346 4440 4510 4551 4664 4736 4884 4920 5088 5120 5248 5280 5412 5632 5830 5883 5920 6068 6105 6144 6360 6512 6519 6560 6765 6784 6996 7040 7104 7216 7585 7680 7844 7872 8140 8192 8448 8480 8692 8745 8880 9020 9102 9328 9472 9768 9805 9840 10176 10240 10496 10560 10824 10865 11264 11660 11766 11840 12136 12210 12288 12720 13024 13038 13120 13530 13568 13992 14080 14208 14432 15170 15360 15688 15744 16280 16384 16687 16896 16960 17384 17490 17760 18040 18204 18656 18944 19536 19610 19680 20352 20480 20992 21120 21571 21648 21730 22528 22755 23320 23532 23680 23903 24272 24420 24576 25440 26048 26076 26240 27060 27136 27984 28160 28416 28864 29415 30340 30720 31376 31488 32560 32595 33374 33792 33920 34768 34980 35520 36080 36408 37312 37888 39072 39220 39360 40704 40960 41984 42240 43142 43296 43460 45056 45510 46640 47064 47360 47806 48544 48840 49152 50061 50880 52096 52152 52480 54120 54272 55968 56320 56832 57728 58830 60680 61440 61681 62752 62976 64713 65120 65190 66748 67584 67840 69536 69960 71040 71709 72160 72816 74624 75776 78144 78440 78720 80401 81408 81920 83435 83968 84480 86284 86592 86920 90112 91020 93280 94128 94720 95612 97088 97680 100122 101760 104192 104304 104960 107855 108240 108544 111936 112640 113664 115456 117660 119515 121360 122880 123362 125504 125952 129426 130240 130380 133496 135168 135680 139072 139920 142080 143418 144320 145632 149248 151552 156288 156880 157440 160802 162816 166870 167936 168960 172568 173184 173840 180224 182040 185043 186560 188256 189440 191224 194176 195360 200244 203520 208384 208608 209920 215710 216480 217088 223872 225280 227328 230912 235320 239030 241203 242720 245760 246724 250305 251008 251904 258852 260480 260760 266992 270336 271360 278144 279840 284160 286836 288640 291264 298496 303104 308405 312576 313760 314880 321604 323565 325632 333740 335872 337920 345136 346368 347680 358545 364080 370086 373120 376512 378880 382448 388352 390720 400488 402005 407040 416768 417216 419840 431420 432960 434176 447744 450560 454656 461824 470640 478060 482406 485440 493448 500610 502016 503808 517704 520960 521520 533984 540672 542720 556288 559680 568320 573672 577280 582528 596992 606208 616810 625152 627520 629760 643208 647130 651264 667480 671744 675840 678491 690272 692736 695360 717090 728160 740172 746240 753024 757760 764896 776704 781440 800976 804010 814080 833536 834432 839680 862840 865920 868352 884411 895488 901120 909312 923648 925215 941280 956120 964812 970880 986896 1001220 1004032 1007616 1035408 1041920 1043040 1067968 1085440 1112576 1119360 1136640 1147344 1154560 1165056 1193984 1206015 1233620 1250304 1255040 1259520 1286416 1294260 1302528 1334960 1351680 1356982 1380544 1385472 1390720 1434180 1456320 1480344 1492480 1506048 1515520 1529792 1553408 1562880 1601952 1608020 1628160 1667072 1668864 1679360 1725680 1731840 1768822 1790976 1818624 1847296 1850430 1882560 1912240 1929624 1941760 1973792 2002440 2008064 2015232 2035473 2070816 2083840 2086080 2135936 2170880 2225152 2238720 2273280 2282197 2294688 2309120 2330112 2387968 2412030 2467240 2500608 2510080 2519040 2528921 2572832 2588520 2605056 2653233 2669920 2703360 2713964 2761088 2770944 2781440 2868360 2912640 2960688 2984960 3012096 3031040 3059584 3106816 3125760 3203904 3216040 3256320 3269093 3334144 3337728 3358720 3392455 3451360 3463680 3537644 3581952 3694592 3700860 3765120 3824480 3859248 3883520 3947584 4004880 4016128 4070946 4141632 4167680 4172160 4271872 4341760 4422055 4450304 4477440 4546560 4564394 4589376 4618240 4660224 4775936 4824060 4934480 5001216 5020160 5038080 5057842 5145664 5177040 5306466 5339840 5427928 5522176 5541888 5562880 5736720 5825280 5921376 5969920 6024192 6119168 6213632 6251520 6407808 6432080 6512640 6538186 6668288 6675456 6784910 6846591 6902720 6927360 7075288 7163904 7389184 7401720 7530240 7586763 7648960 7718496 7767040 7895168 8009760 8032256 8141892 8283264 8335360 8344320 8543744 8844110 8900608 8954880 9093120 9128788 9178752 9236480 9320448 9551872 9648120 9807279 9868960 10002432 10040320 10076160 10115684 10177365 10291328 10354080 10612932 10679680 10855856 11044352 11083776 11125760 11410985 11473440 11650560 11842752 11939840 12048384 12238336 12427264 12503040 12644605 12815616 12864160 13025280 13076372 13266165 13350912 13569820 13693182 13805440 13854720 14150576 14327808 14803440 15060480 15173526 15297920 15436992 15534080 15790336 16019520 16064512 16283784 16345465 16566528 16670720 16688640 17087488 17688220 17801216 17909760 18257576 18357504 18472960 18640896 19296240 19614558 19737920 20004864 20080640 20231368 20354730 20582656 20708160 21225864 21359360 21711712 22088704 22167552 22251520 22821970 22946880 23301120 23685504 23879680 24096768 24476672 24854528 25006080 25104167 25289210 25631232 25728320 26152744 26532330 26701824 27139640 27386364 27610880 27709440 27818131 28301152 28655616 29606880 30120960 30347052 30595840 30873984 31068160 31580672 32039040 32129024 32567568 32690930 33133056 33341440 33377280 34174976 34232955 35376440 35602432 35819520 35960023 36515152 36715008 36945920 37281792 37933815 38592480 39229116 39475840 40161280 40462736 40709460 41165312 41416320 42451728 42718720 43423424 44177408 44503040 45643940 45893760 46602240 47371008 47759360 48193536 48953344 49036395 50012160 50208334 50578420 51262464 51456640 52305488 53064660 53403648 54279280 54772728 55221760 55418880 55636262 56602304 59213760 60241920 60694104 61191680 61747968 62136320 63161344 64078080 65135136 65381860 66266112 66754560 68349952 68465910 70752880 71639040 71920046 73030304 73430016 74563584 75312501 75867630 77184960 78458232 78951680 80322560 80925472 81418920 82330624 82832640 83454393 84903456 85437440 86846848 88354816 89006080 91287880 91787520 93204480 93570077 94742016 96387072 97906688 98072790 100024320 100416668 101156840 102524928 102913280 104610976 106129320 106807296 107880069 108558560 109545456 110443520 110837760 111272524 113204608 118427520 120483840 120956441 121388208 122383360 123495936 124272640 125520835 126322688 128156160 130270272 130763720 132532224 133509120 134032813 136699904 136931820 139090655 141505760 143278080 143840092 146060608 146860032 150625002 151735260 154369920 156916464 157903360 160645120 161850944 162837840 164661248 165665280 166908786 169806912 170874880 173693696 176709632 178012160 179800115 182575760 183575040 186408960 187140154 189484032 195813376 196145580 200833336 202313680 205049856 205826560 209221952 212258640 215760138 217117120 219090912 220887040 222545048 226409216 236855040 240967680 241912882 242776416 244766720 246991872 251041670 252645376 256312320 260540544 261527440 265064448 267018240 268065626 273399808 273863640 278181310 280710231 283011520 287680184 292121216 293720064 301250004 303470520 308739840 313832928 315806720 323701888 325675680 329322496 331330560 333817572 339613824 341749760 347387392 353419264 359600230 362869323 365151520 367150080 372817920 374280308 376562505 378968064 391626752 392291160 401666672 402098439 404627360 410099712 411653120 417271965 418443904 424517280 431520276 434234240 438181824 441774080 445090096 452818432 467850385 473710080 481935360 483825764 485552832 489533440 493983744 502083340 505290752 512624640 521081088 523054880 530128896 534036480 536131252 539400345 547727280 556362620 561420462 566023040 575360368 584242432 587440128 602500008 604782205 606941040 617479680 627665856 631613440 647403776 651351360 658644992 662661120 667635144 670164065 679227648 683499520 694774784 719200460 725738646 730303040 734300160 748560616 753125010 757936128 784582320 803333344 804196878 809254720 820199424 823306240 834543930 836887808 849034560 863040552 868468480 876363648 883548160 890180192 905636864 935700770 947420160 967651528 971105664 979066880 987967488 1004166680 1010581504 1025249280 1029270847 1042162176 1046109760 1060257792 1072262504 1078800690 1095454560 1112725240 1122840924 1132046080 1150720736 1168484864 1174880256 1205000016 1209564410 1213882080 1234959360 1255331712 1263226880 1294807552 1302702720 1317289984 1325322240 1330520851 1335270288 1340328130 1358455296 1366999040 1389549568 1403551155 1438400920 1451477292 1460606080 1468600320 1474360943 1497121232 1506250020 1515872256 1569164640 1606666688 1608393756 1618509440 1646612480 1669087860 1673775616 1698069120 1726081104 1736936960 1752727296 1767096320 1780360384 1811273728 1814346615 1871401540 1894840320 1935303056 1942211328 1958133760 1975934976 2008333360 2010492195 2050498560 2058541694 2084324352 2092219520 2144525008 2157601380 2190909120 2225450480 2245681848 2264092160 2301441472 2336969728 2410000032 2419128820 2427764160 2469918720 2510663424 2526453760 2589615104 2605405440 2650644480 2661041702 2670540576 2680656260 2716910592 2779099136 2807102310 2876801840 2902954584 2921212160 2937200640 2948721886 2994242464 3012500040 3031744512 3087812541 3138329280 3213333376 3216787512 3237018880 3293224960 3338175720 3347551232 3396138240 3452162208 3473873920 3505454592 3560720768 3622547456 3628693230 3742803080 3789680640 3870606112 3884422656 3951869952 3991562553 4016666720 4020984390 4100997120 4117083388 4168648704 4184439040 4289050016 4315202760 4381818240 4423082829 4450900960 4491363696 4528184320 4602882944 4673939456 4820000064 4838257640 4855528320 4939837440 4959214081 5021326848 5052907520 5146354235 5179230208 5210810880 5301288960 5322083404 5341081152 5361312520 5433821184 5558198272 5614204620 5753603680 5805909168 5842424320 5874401280 5897443772 5988484928 6025000080 6175625082 6276658560 6426666752 6433575024 6474037760 6586449920 6652604255 6676351440 6695102464 6792276480 6904324416 6947747840 7010909184 7121441536 7245094912 7257386460 7371804715 7485606160 7579361280 7741212224 7768845312 7983125106 8033333440 8041968780 8234166776 8337297408 8368878080 8578100032 8630405520 8763636480 8846165658 8901801920 8982727392 9056368640 9205765888 9347878912 9640000128 9676515280 9711056640 9879674880 9918428162 10042653696 10292708470 10358460416 10421621760 10644166808 10682162304 10722625040 10867642368 11116396544 11228409240 11507207360 11611818336 11684848640 11794887544 11976969856 12050000160 12351250164 12553317120 12853333504 12867150048 12948075520 13305208510 13352702880 13390204928 13584552960 13808648832 13895495680 14021818368 14242883072 14490189824 14514772920 14743609430 14877642243 14971212320 15158722560 15439062705 15482424448 15537690624 15966250212 16066666880 16083937560 16468333552 16674594816 16737756160 17156200064 17260811040 17527272960 17692331316 17803603840 17965454784 18112737280 18411531776 18695757824 19280000256 19353030560 19422113280 19759349760 19836856324 19957812765 20085307392 20585416940 20716920832 20843243520 21288333616 21364324608 21445250080 21735284736 22115414145 22456818480 23014414720 23223636672 23369697280 23589775088 23953939712 24100000320 24702500328 24796070405 25106634240 25706667008 25734300096 25896151040 26610417020 26705405760 26780409856 27169105920 27617297664 27790991360 28043636736 28485766144 29029545840 29487218860 29755284486 29942424640 30878125410 30964848896 31075381248 31932500424 32133333760 32167875120 32936667104 33349189632 33475512320 34312400128 34521622080 35054545920 35384662632 35607207680 35930909568 36225474560 36823063552 37391515648 38560000512 38706061120 38844226560 39673712648 39915625530 40170614784 41170833880 41433841664 41686487040 42576667232 42728649216 42890500160 43470569472 44230828290 44913636960 46028829440 46447273344 46739394560 47179550176 47907879424 48200000640 49405000656 49592140810 50213268480 51413334016 51468600192 51792302080 53220834040 53410811520 53560819712 54338211840 54551354891 55234595328 55581982720 56087273472 56971532288 58059091680 58974437720 59510568972 59884849280 61756250820 61929697792 62150762496 63865000848 64266667520 64335750240 65873334208 66951024640 68624800256 69043244160 70109091840 70769325264 71214415360 71861819136 72450949120 73646127104 74388211215 77120001024 77412122240 77688453120 79347425296 79831251060 80341229568 82341667760 83372974080 85153334464 85457298432 85781000320 88461656580 89827273920 92057658880 92894546688 93478789120 94359100352 95815758848 96400001280 98810001312 99184281620 100426536960 102826668032 102937200384 103584604160 106441668080 106821623040 108676423680 109102709782 110469190656 112174546944 113943064576 116118183360 117948875440 119021137944 119769698560 123512501640 123859395584 124301524992 127730001696 128533335040 128671500480 131746668416 133902049280 137249600512 138086488320 140218183680 141538650528 142428830720 143723638272 147292254208 148776422430 154240002048 154824244480 155376906240 158694850592 159662502120 160682459136 163654064673 164683335520 166745948160 170306668928 170914596864 171562000640 176923313160 179654547840 184115317760 185789093376 186957578240 188718200704 191631517696 192800002560 197620002624 198368563240 200853073920 205653336064 205874400768 207169208320 212883336160 213643246080 217352847360 218205419564 220938381312 227886129152 232236366720 235897750880 238042275888 239539397120 247025003280 247718791168 255460003392 257066670080 257343000960 263493336832 267804098560 272756774455 274499201024 276172976640 280436367360 283077301056 284857661440 287447276544 294584508416 297552844860 308480004096 309648488960 310753812480 317389701184 319325004240 327308129346 329366671040 340613337856 341829193728 343124001280 353846626320 359309095680 368230635520 371578186752 377436401408 383263035392 385600005120 395240005248 396737126480 401706147840 411306672128 411748801536 425766672320 427286492160 436410839128 441876762624 455772258304 464472733440 471795501760 476084551776 479078794240 494050006560 495437582336 510920006784 514133340160 514686001920 526986673664 545513548910 548998402048 552345953280 560872734720 566154602112 569715322880 574894553088 589169016832 595105689720 616960008192 619296977920 621507624960 634779402368 638650008480 654616258692 658733342080 681226675712 683658387456 686248002560 707693252640 718618191360 736461271040 743156373504 754872802816 766526070784 771200010240 790480010496 793474252960 803412295680 818270323365 823497603072 851533344640 854572984320 872821678256 883753525248 928945466880 943591003520 952169103552 958157588480 988100013120 990875164672 1021840013568 1028266680320 1029372003840 1053973347328 1091027097820 1097996804096 1104691906560 1132309204224 1139430645760 1149789106176 1190211379440 1233920016384 1238593955840 1269558804736 1277300016960 1309232517384 1317466684160 1362453351424 1367316774912 1372496005120 1415386505280 1437236382720 1472922542080 1486312747008 1509745605632 1533052141568 1542400020480 1580960020992 1586948505920 1636540646730 1646995206144 1703066689280 1709145968640 1745643356512 1767507050496 1857890933760 1887182007040 1904338207104 1916315176960 1976200026240 1981750329344 2043680027136 2056533360640 2058744007680 2107946694656 2182054195640 2195993608192 2209383813120 2264618408448 2278861291520 2299578212352 2380422758880 2477187911680 2539117609472 2554600033920 2618465034768 2634933368320 2724906702848 2744992010240 2830773010560 2874472765440 2945845084160 2972625494016 3019491211264 3084800040960 3161920041984 3173897011840 3273081293460 3293990412288 3406133378560 3418291937280 3491286713024 3715781867520 3774364014080 3808676414208 3832630353920 3952400052480 4087360054272 4117488015360 4215893389312 4364108391280 4418767626240 4529236816896 4599156424704 4760845517760 4954375823360 5078235218944 5109200067840 5236930069536 5269866736640 5449813405696 5489984020480 5661546021120 5748945530880 5945250988032 6038982422528 6169600081920 6323840083968 6347794023680 6546162586920 6587980824576 6812266757120 6836583874560 6982573426048 7431563735040 7548728028160 7617352828416 7665260707840 7904800104960 8174720108544 8234976030720 8431786778624 8728216782560 8837535252480 9058473633792 9521691035520 9908751646720 10156470437888 10218400135680 10473860139072 10539733473280 10899626811392 10979968040960 11323092042240 11497891061760 12077964845056 12647680167936 12695588047360 13092325173840 13624533514240 13965146852096 14863127470080 15097456056320 15234705656832 15809600209920 16349440217088 16469952061440 16863573557248 17456433565120 18116947267584 19043382071040 20312940875776 20436800271360 20947720278144 21079466946560 21799253622784 22646184084480 22995782123520 24155929690112 25295360335872 25391176094720 26184650347680 27249067028480 27930293704192 29726254940160 30194912112640 30469411313664 31619200419840 32698880434176 32939904122880 34912867130240 36233894535168 38086764142080 40625881751552 40873600542720 41895440556288 42158933893120 45292368168960 50590720671744 50782352189440 52369300695360 54498134056960 55860587408384 60389824225280 60938822627328 63238400839680 65397760868352 69825734260480 72467789070336 76173528284160 81251763503104 81747201085440 83790881112576 84317867786240 90584736337920 101564704378880 104738601390720 108996268113920 111721174816768 120779648450560 121877645254656 126476801679360 139651468520960 152347056568320 163494402170880 167581762225152 181169472675840 203129408757760 209477202781440 223442349633536 243755290509312 252953603358720 279302937041920 304694113136640 326988804341760 335163524450304 362338945351680 406258817515520 418954405562880 446884699267072 558605874083840 609388226273280 670327048900608 837908811125760 893769398534144 1117211748167680 1218776452546560 1340654097801216 1675817622251520 2234423496335360 2681308195602432 3351635244503040 4468846992670720 6703270489006080 13406540978012160
- Sum of all divisors σ(n): 50166553178101248
- Sum of proper divisors (its aliquot sum) s(n): 36760012200089088
- 13406540978012160 is an abundant number, because the sum of its proper divisors (36760012200089088) is greater than itself. Its abundance is 23353471222076928
Bases of 13406540978012160
- Binary: 1011111010000100101101100100001010100101000000000000002
- Hexadecimal: 0x2FA12D90A94000
- Base-36: 3O07ZWFOETC
Squares and roots of 13406540978012160
- 13406540978012160 squared (134065409780121602) is 179735340995119243560585107865600
- 13406540978012160 cubed (134065409780121603) is 2409629214248055018537847524258413231468445696000
-
The
square root of 13406540978012160 is 115786618.3028598517 -
The
cube root of 13406540978012160 is 237559.4147374231
Scales and comparisons
How big is 13406540978012160?- 13,406,540,978,012,160 seconds is equal to 426,286,533 years, 49 weeks, 1 day, 14 hours, 56 minutes.
-
To count from 1 to 13,406,540,978,012,160 would take you about one billion, two hundred seventy-eight million, eight hundred fifty-nine thousand, six hundred one 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 13406540978012160 cubic inches would be around 19796.6 feet tall.
Recreational maths with 13406540978012160
- 13406540978012160 backwards is 06121087904560431
- The number of decimal digits it has is: 17
- The sum of 13406540978012160'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 13406540978012160 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 13406540978012160 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/13406540978012160/
Chicago style:
Numbermatics. 2024. "Number 13406540978012160 - Facts about the integer". https://numbermatics.com/n/13406540978012160/
The information we have on file for 13406540978012160 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 13406540978012160, math, Factors of 13406540978012160, curriculum, school, college, exams, university, Prime factorization of 13406540978012160, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred six trillion, five hundred forty billion, nine hundred seventy-eight million, twelve thousand, one hundred sixty.