13164368340604416
13,164,368,340,604,416 is an even composite number composed of six prime numbers multiplied together.
13164368340604416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13164368340604416:
29 × 3 × 133 × 173 × 732 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 17 × 17 × 17 × 73 × 73 × 149)See below for interesting mathematical facts about the number 13164368340604416 from the Numbermatics database.
Names of 13164368340604416
- Cardinal: 13164368340604416 can be written as Thirteen quadrillion, one hundred sixty-four trillion, three hundred sixty-eight billion, three hundred forty million, six hundred four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3164368340604416 × 1016
Factors of 13164368340604416
Divisors of 13164368340604416
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 73 78 96 102 104 128 136 146 149 156 169 192 204 208 219 221 256 272 289 292 298 312 338 384 408 416 438 442 447 507 512 544 578 584 596 624 663 676 768 816 832 867 876 884 894 949 1014 1088 1156 1168 1192 1241 1248 1326 1352 1536 1632 1664 1734 1752 1768 1788 1898 1937 2028 2176 2197 2312 2336 2384 2482 2496 2533 2652 2704 2847 2873 3264 3328 3468 3504 3536 3576 3723 3757 3796 3874 4056 4352 4394 4624 4672 4768 4913 4964 4992 5066 5304 5329 5408 5694 5746 5811 6528 6591 6656 6936 7008 7072 7152 7446 7514 7592 7599 7748 8112 8619 8704 8788 9248 9344 9536 9826 9928 9984 10132 10608 10658 10816 10877 11271 11388 11492 11622 12337 13056 13182 13872 14016 14144 14304 14739 14892 15028 15184 15198 15496 15987 16133 16224 17238 17576 18496 18688 19072 19652 19856 19968 20264 21097 21216 21316 21632 21754 22542 22776 22984 23244 24674 25181 26112 26364 27744 28032 28288 28608 29478 29784 30056 30368 30396 30992 31974 32266 32448 32631 32929 34476 35152 36992 37011 37349 37376 38144 39304 39712 40528 42194 42432 42632 43061 43264 43508 45084 45552 45968 46488 48399 48841 49348 50362 52728 55488 56064 56576 57216 58956 59568 60112 60736 60792 61984 63291 63869 63948 64532 64896 65262 65858 68952 69277 70304 73984 74022 74698 75543 76288 78608 79424 81056 84388 84864 85264 86122 86528 87016 90168 90593 91104 91936 92976 96798 97682 98696 98787 100724 105456 110976 112047 112128 113152 114432 117912 119136 120224 121472 121584 123968 126582 127738 127896 129064 129183 129792 130524 131716 137904 138554 140608 141401 146523 147968 148044 149396 151086 157216 158848 160381 162112 168776 169728 170528 172244 174032 180336 181186 182208 183872 184909 185952 191607 193596 195364 197392 197574 201448 207831 209729 210912 221952 224094 228864 235824 238272 240448 242944 243168 247936 253164 255476 255792 258128 258366 259584 261048 263432 271779 274261 275808 277108 281216 282802 293046 296088 298792 302172 314432 317696 320762 324224 327353 337552 339456 341056 344488 348064 358649 360672 362372 364416 367744 369818 371904 383214 387192 390728 394784 395148 402896 415662 419458 421824 424203 428077 443904 448188 471648 476544 480896 481143 485888 486336 495872 506328 510952 511584 516256 516732 522096 526864 543558 548522 551616 554216 554727 559793 562432 565604 586092 592176 597584 604344 628864 629187 634933 635392 641524 648448 654706 675104 682112 688976 696128 717298 721344 724744 728832 732037 735488 739636 743808 766428 774384 781456 789568 790296 794021 805792 822783 830297 831324 838916 843648 848406 856154 896376 900601 943296 953088 961792 962286 972672 982059 991744 1012656 1021904 1023168 1032512 1033464 1044192 1053728 1075947 1087116 1097044 1103232 1108432 1109454 1119586 1124864 1131208 1172184 1177709 1184352 1195168 1208688 1257728 1258374 1269866 1283048 1284231 1296896 1309412 1350208 1364224 1377952 1392256 1434596 1442688 1449488 1457664 1464074 1470976 1479272 1487616 1532856 1540081 1548768 1562912 1579136 1580592 1588042 1611584 1645566 1660594 1662648 1677832 1679379 1687296 1696812 1712308 1792752 1801202 1838213 1886592 1904799 1906176 1923584 1924572 1945344 1964118 2025312 2043808 2046336 2065024 2066928 2088384 2107456 2151894 2174232 2194088 2196111 2206464 2216864 2218908 2239172 2262416 2344368 2355418 2368704 2382063 2390336 2403817 2417376 2490891 2515456 2516748 2539732 2566096 2568462 2618824 2700416 2701803 2726477 2728448 2755904 2784512 2869192 2885376 2898976 2928148 2958544 2975232 3065712 3080162 3097536 3125824 3143453 3158272 3161184 3176084 3223168 3291132 3321188 3325296 3355664 3358758 3374592 3393624 3424616 3533127 3565393 3585504 3602404 3676426 3773184 3809598 3849144 3890688 3928236 4050624 4087616 4092672 4130048 4133856 4176768 4214912 4303788 4348464 4388176 4392222 4412928 4433728 4437816 4478344 4524832 4620243 4662437 4688736 4710836 4737408 4764126 4780672 4807634 4834752 4981782 5033496 5079464 5132192 5136924 5237648 5400832 5403606 5452954 5511808 5514639 5565001 5569024 5738384 5770752 5797952 5856296 5917088 6131424 6160324 6195072 6251648 6286906 6316544 6322368 6352168 6446336 6582264 6642376 6650592 6711328 6717516 6787248 6849232 7066254 7130786 7171008 7204808 7211451 7277309 7352852 7546368 7619196 7698288 7856472 8101248 8175232 8179431 8185344 8260096 8267712 8353536 8429824 8607576 8696928 8776352 8784444 8867456 8875632 8956688 9049664 9240486 9324874 9377472 9421672 9430359 9474816 9516481 9528252 9561344 9615268 9669504 9963564 10066992 10158928 10264384 10273848 10322273 10475296 10696179 10793861 10801664 10807212 10905908 11023616 11029278 11130002 11476768 11595904 11707813 11712592 11834176 12262848 12320648 12390144 12503296 12573812 12644736 12704336 12892672 13164528 13284752 13301184 13422656 13435032 13498357 13574496 13698464 13987311 14132508 14261572 14342016 14409616 14422902 14554618 14705704 15238392 15310217 15396576 15712944 16202496 16350464 16358862 16535424 16695003 16707072 16859648 17215152 17393856 17552704 17568888 17734912 17751264 17913376 18099328 18480972 18649748 18754944 18843344 18860718 18949632 19032962 19056504 19122688 19230536 19339008 19927128 20021053 20133984 20317856 20528768 20547696 20644546 20950592 21392358 21587722 21614424 21811816 21831927 22047232 22058556 22260004 22953536 23191808 23415626 23425184 23668352 23896769 24525696 24641296 24780288 25006592 25147624 25289472 25408672 26181377 26329056 26569504 26602368 26845312 26870064 26996714 27148992 27396928 27974622 28265016 28523144 28549443 28684032 28819232 28845804 29109236 29411408 30476784 30620434 30793152 30966819 31249621 31425888 32381583 32404992 32700928 32717724 33070848 33390006 34430304 34787712 35105408 35123439 35137776 35469824 35502528 35826752 36198656 36961944 37299496 37509888 37686688 37721436 38065924 38113008 38461072 38678016 39854256 40042106 40267968 40495071 40635712 40864889 41057536 41095392 41289092 41901184 42784716 43175444 43228848 43623632 43663854 44117112 44520008 45907072 45930651 46350109 46383616 46831252 46850368 47336704 47793538 49051392 49282592 50295248 50578944 50817344 52362754 52658112 53139008 53204736 53438701 53690624 53740128 53993428 54297984 54793856 55949244 56530032 57046288 57098886 57368064 57638464 57691608 58218472 58822816 60063159 60611681 60953568 61240868 61586304 61933638 62499242 62851776 64763166 65435448 66141696 66780012 68860608 69575424 70210816 70246878 70275552 71005056 71653504 71690307 72397312 73923888 74598992 75019776 75373376 75442872 76131848 76226016 76922144 78544131 79708512 80084212 80535936 80990142 81271424 81729778 82115072 82190784 82578184 83802368 85569432 86350888 86457696 87247264 87327708 88234224 89040016 91814144 91861302 92700218 93662504 93700736 93748863 94605017 94673408 95587076 98102784 98565184 100590496 101634688 104725508 105316224 106278016 106409472 106877402 107381248 107480256 107986856 108595968 109587712 111898488 113060064 114092576 114197772 115276928 115383216 116436944 117645632 120126318 121223362 121907136 122481736 122594667 123172608 123714253 123867276 124998484 125703552 129526332 130870896 133560024 134189549 137721216 139050327 139150848 140421632 140493756 140551104 142010112 143307008 143380614 147847776 149197984 150746752 150885744 152263696 152452032 153844288 157088262 159417024 160168424 160316103 161071872 161980284 162542848 163459556 164381568 165156368 167604736 171138864 172701776 172915392 174494528 174655416 175478641 176468448 178080032 181835043 183628288 183722604 185400436 187325008 187401472 187497726 189210034 191174152 197130368 199032821 201180992 203269376 209451016 210632448 212556032 213754804 214960512 215973712 217191936 219175424 223796976 226120128 228185152 228395544 229472069 230553856 230766432 232873888 235291264 240252636 242446724 243814272 244963472 245189334 246345216 247428506 247734552 249996968 251407104 259052664 260273689 261741792 267120048 268379098 275442432 278100654 280987512 281102208 283815051 284020224 286614016 286761228 295695552 298395968 301493504 301771488 304527392 304904064 307688576 314176524 318834048 320336848 320632206 322143744 323960568 325085696 326919112 328763136 330312736 340357901 342277728 345403552 345830784 348989056 349310832 350957282 352936896 356160064 363670086 367445208 370800872 371142759 374650016 374802944 374995452 378420068 382348304 394260736 398065642 402361984 402568647 406245073 406538752 418902032 421264896 425112064 427509608 429921024 431947424 447593952 452240256 456370304 456791088 458944138 461107712 461532864 465747776 470582528 480505272 484893448 487628544 489926944 490378668 494857012 495469104 499993936 502814208 518105328 520547378 523483584 526435923 531243557 534240096 536758196 550884864 556201308 561975024 562204416 567630102 573522456 591391104 596791936 597098463 602987008 603542976 609054784 609808128 615377152 628353048 637668096 640673696 641264412 647921136 653838224 657526272 660625472 680715802 684555456 688416207 690807104 691661568 694703113 697978112 698621664 701914564 705873792 712320128 727340172 734890416 741601744 742285518 749300032 749990904 756840136 764696608 780821067 787951853 788521472 796131284 804723968 805137294 812490146 837804064 855019216 859842048 863894848 895187904 904480512 912740608 913582176 917888276 923065728 931495552 941165056 961010544 969786896 975257088 979853888 980757336 989714024 990938208 999987872 1021073703 1036210656 1041094756 1046967168 1052871846 1062487114 1068480192 1073516392 1112402616 1123950048 1124408832 1135260204 1147044912 1182782208 1193583872 1194196926 1207085952 1218109568 1218735219 1219616256 1230754304 1256706096 1275336192 1281347392 1282528824 1295842272 1307676448 1321250944 1361431604 1369110912 1376832414 1381614208 1383323136 1389406226 1395956224 1397243328 1403829128 1411747584 1424640256 1454680344 1469780832 1483203488 1484571036 1498600064 1499981808 1513680272 1529393216 1561642134 1575903706 1592262568 1593730671 1608285289 1609447936 1610274588 1624980292 1675608128 1710038432 1727789696 1744464137 1790375808 1808961024 1825481216 1827164352 1835776552 1846131456 1862991104 1922021088 1939573792 1959707776 1961514672 1979428048 1981876416 1999975744 2042147406 2072421312 2082189512 2084109339 2093934336 2105743692 2124974228 2136960384 2147032784 2224805232 2247900096 2270520408 2281222333 2294089824 2363855559 2365564416 2387167744 2388393852 2414171904 2436219136 2437470438 2513412192 2562694784 2565057648 2591684544 2615352896 2642501888 2722863208 2738221824 2753664828 2763228416 2778812452 2794486656 2807658256 2823495168 2849280512 2909360688 2939561664 2966406976 2969142072 2983136897 2997200128 2999963616 3027360544 3058786432 3123284268 3151807412 3184525136 3187461342 3216570578 3220549176 3249960584 3351216256 3383557957 3420076864 3455579392 3488928274 3580751616 3654328704 3671553104 3692262912 3725982208 3844042176 3879147584 3901025173 3919415552 3923029344 3958856096 3963752832 3999951488 4084294812 4144842624 4164379024 4168218678 4187868672 4211487384 4249948456 4273920768 4294065568 4424652713 4449610464 4495800192 4541040816 4562444666 4588179648 4727711118 4776787704 4824855867 4828343808 4872438272 4874940876 5026824384 5125389568 5130115296 5183369088 5230705792 5233392411 5285003776 5445726416 5476443648 5507329656 5526456832 5557624904 5588973312 5615316512 5818721376 5879123328 5932813952 5938284144 5966273794 5994400256 5999927232 6054721088 6117572864 6246568536 6303614824 6369050272 6374922684 6433141156 6441098352 6499921168 6702432512 6767115914 6840153728 6843666999 6906166241 6911158784 6977856548 7161503232 7308657408 7343106208 7688084352 7758295168 7802050346 7838831104 7846058688 7917712192 7927505664 7999902976 8168589624 8289685248 8328758048 8336437356 8422974768 8499896912 8547841536 8588131136 8849305426 8899220928 8949410691 8991600384 9031140469 9082081632 9124889332 9176359296 9455422236 9553575408 9649711734 9749881752 10053648768 10150673871 10250779136 10260230592 10366738176 10461411584 10466784822 10891452832 11014659312 11115249808 11177946624 11230633024 11637442752 11703075519 11758246656 11865627904 11876568288 11932547588 11999854464 12109442176 12235145728 12493137072 12607229648 12738100544 12749845368 12866282312 12882196704 12999842336 13273958139 13404865024 13534231828 13680307456 13687333998 13812332482 13955713096 14617314816 14686212416 15376168704 15516590336 15604100692 15692117376 15835424384 15855011328 15999805952 16337179248 16579370496 16657516096 16672874712 16845949536 16999793824 17176262272 17698610852 17798441856 17898821382 17983200768 18062280938 18164163264 18249778664 18352718592 18910844472 19107150816 19299423468 19499763504 20107297536 20301347742 20520461184 20718498723 20733476352 20922823168 20933569644 21782905664 22029318624 22230499616 22461266048 23274885504 23406151038 23516493312 23731255808 23753136576 23865095176 23999708928 24218884352 24986274144 25214459296 25476201088 25499690736 25732564624 25764393408 25999684672 26547916278 27068463656 27093421407 27360614912 27374667996 27624664964 27911426192 29372424832 29655890329 30752337408 31033180672 31208201384 31384234752 31670848768 32674358496 33315032192 33345749424 33691899072 33999587648 34352524544 35397221704 35596883712 35797642764 36124561876 36328326528 36499557328 36705437184 37821688944 38214301632 38598846936 38780779661 38999527008 40214595072 40602695484 41040922368 41436997446 41867139288 43565811328 44058637248 44460999232 44922532096 46549771008 46812302076 47506273152 47730190352 47999417856 48437768704 49972548288 50428918592 50713327249 50952402176 50999381472 51465129248 51528786816 51999369344 53095832556 54136927312 54186842814 54749335992 55249329928 55822852384 57520485269 58744849664 59311780658 62416402768 62768469504 63341697536 65348716992 66630064384 66691498848 67383798144 67999175296 68705049088 70794443408 71193767424 71595285528 72249123752 72656653056 72999114656 75643377888 76428603264 77197693872 77561559322 77999054016 81205390968 82081844736 82873994892 83734278576 87131622656 88117274496 88921998464 88967670987 89845064192 93099542016 93624604152 95012546304 95460380704 99945096576 100857837184 101426654498 101904804352 101998762944 102930258496 103057573632 103998738688 106191665112 108273854624 108373685628 109498671984 110498659856 111645704768 115040970538 116342338983 117404826097 117489699328 118623561316 124832805536 130697433984 133260128768 133382997696 134767596288 135998350592 141588886816 143190571056 144498247504 145313306112 145998229312 151286755776 152139981747 152857206528 154395387744 155123118644 155998108032 162410781936 165747989784 167468557152 172561455807 174263245312 176234548992 177843996928 177935341974 187249208304 190025092608 190920761408 199890193152 201715674368 202853308996 203997525888 205860516992 206115147264 207997477376 212383330224 216547709248 216747371256 218997343968 220997319712 223291409536 230081941076 232684677966 234809652194 237247122632 249665611072 261394867968 266765995392 269535192576 271996701184 283177773632 286381142112 288996495008 291996458624 302573511552 304279963494 305714413056 308790775488 310246237288 311996216064 324821563872 331495979568 334937114304 345122911614 352214478291 352469097984 355687993856 355870683948 374498416608 381841522816 399780386304 403431348736 405706617992 407995051776 411721033984 424766660448 433095418496 433494742512 437994687936 441994639424 446582819072 460163882152 465369355932 469619304388 474494245264 499331222144 504150135593 522789735936 533531990784 566355547264 572762284224 577992990016 583992917248 605147023104 608559926988 617581550976 620492474576 623992432128 649643127744 659273254237 662991959136 669874228608 690245823228 704428956582 711741367896 748996833216 763683045632 811413235984 815990103552 823442067968 849533320896 866190836992 866989485024 875989375872 883989278848 893165638144 920327764304 930738711864 939238608776 948988490528 998662444288 1008300271186 1067063981568 1132711094528 1145524568448 1155985980032 1167985834496 1210294046208 1217119853976 1235163101952 1240984949152 1299286255488 1318546508474 1325983918272 1339748457216 1380491646456 1408857913164 1423482735792 1497993666432 1512450406779 1527366091264 1622826471968 1699066641792 1732381673984 1733978970048 1751978751744 1767978557696 1840655528608 1861477423728 1878477217552 1897976981056 1977819762711 1997324888576 2016600542372 2265422189056 2291049136896 2311971960064 2434239707952 2470326203904 2481969898304 2598572510976 2637093016948 2651967836544 2679496914432 2760983292912 2817715826328 2846965471584 2995987332864 3024900813558 3245652943936 3398133283584 3467957940096 3503957503488 3535957115392 3681311057216 3722954847456 3756954435104 3795953962112 3955639525422 4033201084744 4582098273792 4623943920128 4868479415904 4963939796608 5197145021952 5274186033896 5303935673088 5521966585824 5635431652656 5693930943168 5991974665728 6049801627116 6491305887872 6796266567168 6935915880192 7362622114432 7445909694912 7513908870208 7591907924224 7911279050844 8066402169488 8570552305081 9736958831808 9927879593216 10548372067792 10607871346176 11043933171648 11270863305312 11387861886336 12099603254232 12982611775744 13871831760384 14725244228864 14891819389824 15027817740416 15183815848448 15822558101688 16132804338976 17141104610162 19473917663616 19855759186432 21096744135584 22087866343296 22541726610624 22775723772672 24199206508464 25711656915243 25965223551488 29450488457728 29783638779648 30055635480832 31645116203376 32265608677952 34282209220324 38947835327232 42193488271168 44175732686592 45083453221248 45551447545344 48398413016928 51423313830486 59567277559296 60111270961664 63290232406752 64531217355904 68564418440648 77895670654464 84386976542336 88351465373184 90166906442496 96796826033856 102846627660972 126580464813504 129062434711808 137128836881296 168773953084672 180333812884992 193593652067712 205693255321944 253160929627008 258124869423616 274257673762592 337547906169344 387187304135424 411386510643888 506321859254016 548515347525184 774374608270848 822773021287776 1012643718508032 1097030695050368 1645546042575552 2194061390100736 3291092085151104 4388122780201472 6582184170302208 13164368340604416
- Sum of all divisors σ(n): 41201147489040000
- Sum of proper divisors (its aliquot sum) s(n): 28036779148435584
- 13164368340604416 is an abundant number, because the sum of its proper divisors (28036779148435584) is greater than itself. Its abundance is 14872410807831168
Bases of 13164368340604416
- Binary: 1011101100010011101100010110101010001001010110000000002
- Hexadecimal: 0x2EC4EC5AA25600
- Base-36: 3LMDNBS2SQO
Squares and roots of 13164368340604416
- 13164368340604416 squared (131643683406044162) is 173300593807107865309544198701056
- 13164368340604416 cubed (131643683406044163) is 2281392850522236500752464856729784197369137463296
-
The
square root of 13164368340604416 is 114736081.2499904757 -
The
cube root of 13164368340604416 is 236120.3084074925
Scales and comparisons
How big is 13164368340604416?- 13,164,368,340,604,416 seconds is equal to 418,586,193 years, 8 weeks, 4 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 13,164,368,340,604,416 would take you about one billion, two hundred fifty-five million, seven hundred fifty-eight thousand, five hundred seventy-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 13164368340604416 cubic inches would be around 19676.7 feet tall.
Recreational maths with 13164368340604416
- 13164368340604416 backwards is 61440604386346131
- The number of decimal digits it has is: 17
- The sum of 13164368340604416's digits is 60
- 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 13164368340604416 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13164368340604416 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13164368340604416/
Chicago style:
Numbermatics. 2024. "Number 13164368340604416 - Facts about the integer". https://numbermatics.com/n/13164368340604416/
The information we have on file for 13164368340604416 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 13164368340604416, math, Factors of 13164368340604416, curriculum, school, college, exams, university, Prime factorization of 13164368340604416, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred sixty-four trillion, three hundred sixty-eight billion, three hundred forty million, six hundred four thousand, four hundred sixteen.