13003778139307038720
13,003,778,139,307,038,720 is an even composite number composed of seven prime numbers multiplied together.
13003778139307038720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13003778139307038720:
211 × 33 × 5 × 7 × 13 × 37 × 13968916267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 37 × 13968916267)See below for interesting mathematical facts about the number 13003778139307038720 from the Numbermatics database.
Names of 13003778139307038720
- Cardinal: 13003778139307038720 can be written as Thirteen quintillion, three quadrillion, seven hundred seventy-eight trillion, one hundred thirty-nine billion, three hundred seven million, thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.300377813930703872 × 1019
Factors of 13003778139307038720
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 13968916334
Divisors of 13003778139307038720
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 37 39 40 42 45 48 52 54 56 60 63 64 65 70 72 74 78 80 84 90 91 96 104 105 108 111 112 117 120 126 128 130 135 140 144 148 156 160 168 180 182 185 189 192 195 208 210 216 222 224 234 240 252 256 259 260 270 273 280 288 296 312 315 320 333 336 351 360 364 370 378 384 390 416 420 432 444 448 455 468 480 481 504 512 518 520 540 546 555 560 576 585 592 624 630 640 666 672 702 720 728 740 756 768 777 780 819 832 840 864 888 896 910 936 945 960 962 999 1008 1024 1036 1040 1080 1092 1110 1120 1152 1170 1184 1248 1260 1280 1295 1332 1344 1365 1404 1440 1443 1456 1480 1512 1536 1554 1560 1638 1664 1665 1680 1728 1755 1776 1792 1820 1872 1890 1920 1924 1998 2016 2048 2072 2080 2160 2184 2220 2240 2304 2331 2340 2368 2405 2457 2496 2520 2560 2590 2664 2688 2730 2808 2880 2886 2912 2960 3024 3072 3108 3120 3276 3328 3330 3360 3367 3456 3510 3552 3584 3640 3744 3780 3840 3848 3885 3996 4032 4095 4144 4160 4320 4329 4368 4440 4480 4608 4662 4680 4736 4810 4914 4992 4995 5040 5120 5180 5328 5376 5460 5616 5760 5772 5824 5920 6048 6144 6216 6240 6552 6656 6660 6720 6734 6912 6993 7020 7104 7168 7215 7280 7488 7560 7680 7696 7770 7992 8064 8190 8288 8320 8640 8658 8736 8880 8960 9216 9324 9360 9472 9620 9828 9984 9990 10080 10101 10240 10360 10656 10752 10920 11232 11520 11544 11648 11655 11840 12096 12285 12432 12480 12987 13104 13312 13320 13440 13468 13824 13986 14040 14208 14336 14430 14560 14976 15120 15360 15392 15540 15984 16128 16380 16576 16640 16835 17280 17316 17472 17760 17920 18432 18648 18720 18944 19240 19656 19968 19980 20160 20202 20720 21312 21504 21645 21840 22464 23040 23088 23296 23310 23680 24192 24570 24864 24960 25974 26208 26624 26640 26880 26936 27648 27972 28080 28416 28860 29120 29952 30240 30303 30720 30784 31080 31968 32256 32760 33152 33280 33670 34560 34632 34944 34965 35520 35840 37296 37440 37888 38480 39312 39936 39960 40320 40404 41440 42624 43008 43290 43680 44928 46080 46176 46592 46620 47360 48384 49140 49728 49920 50505 51948 52416 53280 53760 53872 55296 55944 56160 56832 57720 58240 59904 60480 60606 61568 62160 63936 64512 64935 65520 66304 66560 67340 69120 69264 69888 69930 71040 71680 74592 74880 75776 76960 78624 79872 79920 80640 80808 82880 85248 86580 87360 89856 90909 92160 92352 93184 93240 94720 96768 98280 99456 99840 101010 103896 104832 106560 107520 107744 111888 112320 113664 115440 116480 119808 120960 121212 123136 124320 127872 129024 129870 131040 132608 133120 134680 138240 138528 139776 139860 142080 149184 149760 151515 153920 157248 159840 161280 161616 165760 170496 173160 174720 179712 181818 184704 186368 186480 189440 193536 196560 198912 199680 202020 207792 209664 213120 215040 215488 223776 224640 227328 230880 232960 239616 241920 242424 246272 248640 255744 259740 262080 265216 269360 276480 277056 279552 279720 284160 298368 299520 303030 307840 314496 319680 322560 323232 331520 340992 346320 349440 359424 363636 369408 372960 378880 387072 393120 397824 399360 404040 415584 419328 426240 430976 447552 449280 454545 461760 465920 483840 484848 492544 497280 511488 519480 524160 530432 538720 554112 559104 559440 568320 596736 599040 606060 615680 628992 639360 645120 646464 663040 681984 692640 698880 718848 727272 738816 745920 786240 795648 808080 831168 838656 852480 861952 895104 898560 909090 923520 931840 967680 969696 985088 994560 1022976 1038960 1048320 1077440 1108224 1118880 1136640 1193472 1198080 1212120 1231360 1257984 1278720 1292928 1326080 1385280 1397760 1454544 1477632 1491840 1572480 1591296 1616160 1662336 1677312 1704960 1723904 1790208 1797120 1818180 1847040 1935360 1939392 1989120 2045952 2077920 2096640 2154880 2216448 2237760 2386944 2424240 2462720 2515968 2557440 2585856 2652160 2770560 2795520 2909088 2955264 2983680 3144960 3232320 3324672 3409920 3447808 3580416 3594240 3636360 3694080 3878784 3978240 4155840 4193280 4309760 4432896 4475520 4773888 4848480 4925440 5031936 5114880 5171712 5541120 5818176 5967360 6289920 6464640 6649344 6895616 7160832 7272720 7388160 7757568 7956480 8311680 8386560 8619520 8865792 8951040 9696960 10229760 10343424 11082240 11636352 11934720 12579840 12929280 13298688 14321664 14545440 14776320 15515136 16623360 17239040 17902080 19393920 20686848 22164480 23272704 23869440 25159680 25858560 26597376 29090880 31030272 33246720 34478080 35804160 38787840 44328960 46545408 51717120 58181760 62060544 66493440 71608320 77575680 93090816 103434240 116363520 132986880 155151360 186181632 232727040 310302720 465454080 930908160 13968916267 27937832534 41906748801 55875665068 69844581335 83813497602 97782413869 111751330136 125720246403 139689162670 167626995204 181595911471 195564827738 209533744005 223502660272 251440492806 279378325340 293347241607 335253990408 363191822942 377160739209 391129655476 419067488010 447005320544 488912069345 502880985612 516849901879 544787734413 558756650680 586694483214 628601232015 670507980816 726383645884 754321478418 782259310952 838134976020 880041724821 894010641088 907979557355 977824138690 1005761971224 1033699803758 1089575468826 1117513301360 1173388966428 1257202464030 1271171380297 1341015961632 1452767291768 1466736208035 1508642956836 1550549705637 1564518621904 1634363203239 1676269952040 1760083449642 1788021282176 1815959114710 1885803696045 1955648277380 2011523942448 2067399607516 2179150937652 2235026602720 2346777932856 2514404928060 2542342760594 2584249509395 2640125174463 2682031923264 2723938672065 2905534583536 2933472416070 3017285913672 3101099411274 3129037243808 3268726406478 3352539904080 3520166899284 3576042564352 3617949313153 3631918229420 3771607392090 3813514140891 3911296554760 4023047884896 4134799215032 4358301875304 4400208624105 4470053205440 4651649116911 4693555865712 4903089609717 5028809856120 5084685521188 5168499018790 5280250348926 5364063846528 5447877344130 5811069167072 5866944832140 6034571827344 6202198822548 6258074487616 6355856901485 6537452812956 6705079808160 6719048724427 7040333798568 7152085128704 7235898626306 7263836458840 7543214784180 7627028281782 7752748528185 7822593109520 8046095769792 8171816016195 8269598430064 8716603750608 8800417248210 8940106410880 9303298233822 9387111731424 9806179219434 10057619712240 10169371042376 10336998037580 10560500697852 10728127693056 10853847939459 10895754688260 11440542422673 11622138334144 11733889664280 12069143654688 12404397645096 12516148975232 12711713802970 13074905625912 13200625872315 13410159616320 13438097448854 13954947350733 14080667597136 14304170257408 14471797252612 14527672917680 15086429568360 15254056563564 15505497056370 15645186219040 16092191539584 16343632032390 16539196860128 17433207501216 17600834496420 17880212821760 18089746565765 18606596467644 18774223462848 19067570704455 19612358438868 20115239424480 20157146173281 20338742084752 20673996075160 21121001395704 21456255386112 21707695878918 21791509376520 22881084845346 23244276668288 23258245584555 23467779328560 24138287309376 24515448048585 24808795290192 25032297950464 25423427605940 26149811251824 26401251744630 26820319232640 26876194897708 27909894701466 28161335194272 28608340514816 28943594505224 29055345835360 30172859136720 30508113127128 31010994112740 31290372438080 32184383079168 32561543818377 32687264064780 33078393720256 33595243622135 34321627268019 34866415002432 35201668992840 35760425643520 36179493131530 37213192935288 37548446925696 38135141408910 39224716877736 40230478848960 40314292346562 40677484169504 41347992150320 42242002791408 42912510772224 43415391757836 43583018753040 45762169690692 46488553336576 46516491169110 46935558657120 47033341070989 48276574618752 49030896097170 49617590580384 50064595900928 50846855211880 52299622503648 52802503489260 53640638465280 53752389795416 54269239697295 55819789402932 56322670388544 57202712113365 57887189010448 58110691670720 60345718273440 60471438519843 61016226254256 62021988225480 62580744876160 64368766158336 65123087636754 65374528129560 66156787440512 67190487244270 68643254536038 69732830004864 69774736753665 70403337985680 71520851287040 72358986263060 74426385870576 75096893851392 76270282817820 78449433755472 80460957697920 80628584693124 81354968339008 82695984300640 84484005582816 85825021544448 86830783515672 87166037506080 91524339381384 92977106673152 93032982338220 93871117314240 94066682141978 96553149237504 97684631455131 98061792194340 99235181160768 100129191801856 100785730866405 101693710423760 104599245007296 105605006978520 107281276930560 107504779590832 108538479394590 111639578805864 112645340777088 114405424226730 115774378020896 116221383341440 120691436546880 120942877039686 122032452508512 124043976450960 125161489752320 128737532316672 130246175273508 130749056259120 132313574881024 134380974488540 137286509072076 139465660009728 139549473507330 140806675971360 141100023212967 143041702574080 144717972526120 148852771741152 150193787702784 152540565635640 156898867510944 160921915395840 161257169386248 162709936678016 162807719091885 165391968601280 168968011165632 171608136340095 173661567031344 174332075012160 181414315559529 183048678762768 185954213346304 186065964676440 187742234628480 188133364283956 193106298475008 195369262910262 196123584388680 198470362321536 200258383603712 201571461732810 203387420847520 209198490014592 211210013957040 214562553861120 215009559181664 217076958789180 223279157611728 225290681554176 228810848453460 231548756041792 232442766682880 235166705354945 241382873093760 241885754079372 244064905017024 248087952901920 250322979504640 257475064633344 260492350547016 261498112518240 264627149762048 268761948977080 274573018144152 278931320019456 279098947014660 281613351942720 282200046425934 289435945052240 297705543482304 300387575405568 302357192599215 305081131271280 313797735021888 321843830791680 322514338772496 325419873356032 325615438183770 330783937202560 337936022331264 343216272680190 347323134062688 348664150024320 362828631119058 366097357525536 371908426692608 372131929352880 375484469256960 376266728567912 386212596950016 390738525820524 392247168777360 396940724643072 403142923465620 406774841695040 418396980029184 422420027914080 423300069638901 429125107722240 430019118363328 434153917578360 446558315223456 450581363108352 457621696906920 463097512083584 464885533365760 470333410709890 482765746187520 483771508158744 488129810034048 488423157275655 496175905803840 500645959009280 520984701094032 522996225036480 529254299524096 537523897954160 549146036288304 557862640038912 558197894029320 563226703885440 564400092851868 578871890104480 595411086964608 600775150811136 604714385198430 610162262542560 627595470043776 643687661583360 645028677544992 650839746712064 651230876367540 661567874405120 675872044662528 686432545360380 694646268125376 697328300048640 705500116064835 725657262238116 732194715051072 744263858705760 750968938513920 752533457135824 772425193900032 781477051641048 784494337554720 793881449286144 806285846931240 813549683390080 836793960058368 844840055828160 846600139277802 860038236726656 868307835156720 893116630446912 901162726216704 907071577797645 915243393813840 926195024167168 929771066731520 940666821419780 965531492375040 967543016317488 976259620068096 976846314551310 992351811607680 1001291918018560 1041969402188064 1045992450072960 1058508599048192 1075047795908320 1098292072576608 1115725280077824 1116395788058640 1126453407770880 1128800185703736 1157743780208960 1190822173929216 1209428770396860 1220324525085120 1255190940087552 1269900208916703 1287375323166720 1290057355089984 1301679493424128 1302461752735080 1323135748810240 1351744089325056 1372865090720760 1389292536250752 1394656600097280 1411000232129670 1451314524476232 1464389430102144 1488527717411520 1501937877027840 1505066914271648 1562954103282096 1568988675109440 1587762898572288 1612571693862480 1627099366780160 1673587920116736 1689680111656320 1693200278555604 1720076473453312 1736615670313440 1786233260893824 1802325452433408 1814143155595290 1830486787627680 1852390048334336 1859542133463040 1881333642839560 1931062984750080 1935086032634976 1952519240136192 1953692629102620 1984703623215360 2083938804376128 2091984900145920 2116500348194505 2150095591816640 2196584145153216 2232791576117280 2252906815541760 2257600371407472 2315487560417920 2381644347858432 2418857540793720 2440649050170240 2510381880175104 2539800417833406 2580114710179968 2603358986848256 2604923505470160 2646271497620480 2703488178650112 2745730181441520 2778585072501504 2789313200194560 2822000464259340 2902629048952464 2928778860204288 2977055434823040 3003875754055680 3010133828543296 3125908206564192 3137977350218880 3175525797144576 3225143387724960 3254198733560320 3347175840233472 3379360223312640 3386400557111208 3440152946906624 3473231340626880 3572466521787648 3628286311190580 3660973575255360 3704780096668672 3762667285679120 3862125969500160 3870172065269952 3905038480272384 3907385258205240 3969407246430720 4167877608752256 4183969800291840 4233000696389010 4300191183633280 4393168290306432 4465583152234560 4505813631083520 4515200742814944 4630975120835840 4763288695716864 4837715081587440 4881298100340480 5020763760350208 5079600835666812 5160229420359936 5209847010940320 5292542995240960 5406976357300224 5491460362883040 5557170145003008 5578626400389120 5644000928518680 5805258097904928 5857557720408576 5954110869646080 6020267657086592 6251816413128384 6275954700437760 6349501044583515 6450286775449920 6508397467120640 6758720446625280 6772801114222416 6880305893813248 6946462681253760 7144933043575296 7256572622381160 7321947150510720 7409560193337344 7525334571358240 7740344130539904 7810076960544768 7814770516410480 7938814492861440 8335755217504512 8367939600583680 8466001392778020 8600382367266560 8786336580612864 8931166304469120 9011627262167040 9030401485629888 9261950241671680 9526577391433728 9675430163174880 9762596200680960 10041527520700416 10159201671333624 10320458840719872 10419694021880640 10982920725766080 11114340290006016 11288001857037360 11610516195809856 11715115440817152 11908221739292160 12040535314173184 12503632826256768 12551909400875520 12699002089167030 12900573550899840 13016794934241280 13517440893250560 13545602228444832 13760611787626496 13892925362507520 14289866087150592 14513145244762320 14643894301021440 15050669142716480 15480688261079808 15629541032820960 15877628985722880 16671510435009024 16735879201167360 16932002785556040 17200764734533120 17572673161225728 17862332608938240 18060802971259776 18523900483343360 19350860326349760 19525192401361920 20318403342667248 20640917681439744 20839388043761280 21965841451532160 22228680580012032 22576003714074720 23221032391619712 23430230881634304 23816443478584320 24081070628346368 25007265652513536 25103818801751040 25398004178334060 25801147101799680 27034881786501120 27091204456889664 27785850725015040 28579732174301184 29026290489524640 29287788602042880 30101338285432960 30961376522159616 31259082065641920 33343020870018048 33864005571112080 34401529469066240 35145346322451456 35724665217876480 36121605942519552 37047800966686720 38701720652699520 39050384802723840 40636806685334496 41281835362879488 41678776087522560 43931682903064320 45152007428149440 46442064783239424 47632886957168640 48162141256692736 50014531305027072 50207637603502080 50796008356668120 51602294203599360 54182408913779328 55571701450030080 58052580979049280 58575577204085760 60202676570865920 61922753044319232 62518164131283840 66686041740036096 67728011142224160 68803058938132480 70290692644902912 71449330435752960 72243211885039104 77403441305399040 81273613370668992 83357552175045120 87863365806128640 90304014856298880 92884129566478848 96324282513385472 100029062610054144 101592016713336240 103204588407198720 108364817827558656 111143402900060160 116105161958098560 117151154408171520 120405353141731840 123845506088638464 125036328262567680 135456022284448320 142898660871505920 144486423770078208 154806882610798080 162547226741337984 166715104350090240 175726731612257280 180608029712597760 185768259132957696 200058125220108288 203184033426672480 206409176814397440 216729635655117312 232210323916197120 240810706283463680 250072656525135360 270912044568896640 288972847540156416 309613765221596160 325094453482675968 333430208700180480 351453463224514560 361216059425195520 371536518265915392 406368066853344960 433459271310234624 464420647832394240 481621412566927360 500145313050270720 541824089137793280 619227530443192320 650188906965351936 722432118850391040 812736133706689920 866918542620469248 928841295664788480 1000290626100541440 1083648178275586560 1300377813930703872 1444864237700782080 1625472267413379840 1857682591329576960 2167296356551173120 2600755627861407744 3250944534826759680 4334592713102346240 6501889069653519360 13003778139307038720
- Sum of all divisors σ(n): 58429138265258342400
- Sum of proper divisors (its aliquot sum) s(n): 45425360125951303680
- 13003778139307038720 is an abundant number, because the sum of its proper divisors (45425360125951303680) is greater than itself. Its abundance is 32421581986644264960
Bases of 13003778139307038720
- Binary: 10110100011101101011001101010010000110110110001011011000000000002
- Hexadecimal: 0xB476B3521B62D800
- Base-36: 2QSOEMV7HEDC0
Squares and roots of 13003778139307038720
- 13003778139307038720 squared (130037781393070387202) is 169098245896319630111019356935579238400
- 13003778139307038720 cubed (130037781393070387203) is 2198916073381727375568490888664884172856912709416910848000
-
The
square root of 13003778139307038720 is 3606075171.0560664241 -
The
cube root of 13003778139307038720 is 2351562.4520678809
Scales and comparisons
How big is 13003778139307038720?- 13,003,778,139,307,038,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,003,778,139,307,038,720 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 13003778139307038720 cubic inches would be around 195963.5 feet tall.
Recreational maths with 13003778139307038720
- 13003778139307038720 backwards is 02783070393187730031
- 13003778139307038720 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13003778139307038720's digits is 72
- More coming soon!
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MLA style:
"Number 13003778139307038720 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13003778139307038720 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13003778139307038720/
Chicago style:
Numbermatics. 2024. "Number 13003778139307038720 - Facts about the integer". https://numbermatics.com/n/13003778139307038720/
The information we have on file for 13003778139307038720 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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