13664590375616000
13,664,590,375,616,000 is an even composite number composed of seven prime numbers multiplied together.
13664590375616000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13664590375616000:
29 × 53 × 97 × 101 × 127 × 157 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 97 × 101 × 127 × 157 × 1093)See below for interesting mathematical facts about the number 13664590375616000 from the Numbermatics database.
Names of 13664590375616000
- Cardinal: 13664590375616000 can be written as Thirteen quadrillion, six hundred sixty-four trillion, five hundred ninety billion, three hundred seventy-five million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3664590375616 × 1016
Factors of 13664590375616000
Divisors of 13664590375616000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 101 125 127 128 157 160 194 200 202 250 254 256 314 320 388 400 404 485 500 505 508 512 628 635 640 776 785 800 808 970 1000 1010 1016 1093 1256 1270 1280 1552 1570 1600 1616 1940 2000 2020 2032 2186 2425 2512 2525 2540 2560 3104 3140 3175 3200 3232 3880 3925 4000 4040 4064 4372 4850 5024 5050 5080 5465 6208 6280 6350 6400 6464 7760 7850 8000 8080 8128 8744 9700 9797 10048 10100 10160 10930 12125 12319 12416 12560 12625 12700 12800 12827 12928 15229 15520 15700 15857 15875 16000 16160 16256 17488 19400 19594 19625 19939 20096 20200 20320 21860 24250 24638 24832 25120 25250 25400 25654 25856 27325 30458 31040 31400 31714 31750 32000 32320 32512 34976 38800 39188 39250 39878 40192 40400 40640 43720 48500 48985 49276 49664 50240 50500 50800 51308 51712 54650 60916 61595 62080 62800 63428 63500 64000 64135 64640 65024 69952 76145 77600 78376 78500 79285 79756 80384 80800 81280 87440 97000 97970 98552 99695 100480 101000 101600 102616 106021 109300 110393 121832 123190 124160 125600 126856 127000 128270 129280 136625 138811 139904 152290 155200 156752 157000 158570 159512 161600 162560 171601 174880 194000 195940 197104 199390 200960 202000 203200 205232 212042 218600 220786 243664 244925 246380 248320 251200 253712 254000 256540 258560 273250 277622 279808 304580 307975 310400 313504 314000 317140 319024 320675 323200 325120 343202 349760 380725 388000 391880 394208 396425 398780 401920 404000 406400 410464 424084 437200 441572 487328 489850 492760 498475 502400 507424 508000 513080 530105 546500 551965 555244 559616 609160 615950 620800 627008 628000 634280 638048 641350 646400 686404 694055 699520 761450 776000 783760 788416 792850 797560 808000 812800 820928 848168 858005 874400 883144 974656 979700 985520 996950 1004800 1014848 1016000 1026160 1060210 1093000 1103930 1110488 1218320 1224625 1231900 1241600 1244219 1254016 1256000 1268560 1276096 1282700 1292800 1372808 1388110 1399040 1522900 1538129 1539875 1552000 1567520 1576832 1585700 1595120 1603375 1616000 1625600 1641856 1696336 1716010 1748800 1766288 1903625 1934083 1949312 1959400 1971040 1982125 1993900 2009600 2013839 2029696 2032000 2052320 2120420 2186000 2207860 2220976 2436640 2449250 2463800 2488438 2492375 2508032 2512000 2537120 2552192 2565400 2650525 2745616 2759825 2776220 2798080 3045800 3076258 3079750 3104000 3135040 3153664 3171400 3190240 3206750 3232000 3283712 3392672 3432020 3470275 3497600 3532576 3807250 3868166 3898624 3918800 3942080 3964250 3987800 4027678 4059392 4064000 4104640 4240840 4290025 4372000 4415720 4441952 4873280 4898500 4927600 4976876 4984750 5016064 5024000 5074240 5104384 5130800 5301050 5491232 5519650 5552440 6091600 6152516 6159500 6208000 6221095 6270080 6307328 6342800 6380480 6413500 6464000 6567424 6785344 6864040 6940550 6995200 7065152 7614500 7690645 7736332 7797248 7837600 7884160 7928500 7975600 8055356 8118784 8128000 8209280 8481680 8580050 8744000 8831440 8883904 9670415 9746560 9797000 9855200 9953752 9969500 10048000 10069195 10148480 10208768 10261600 10602100 10708121 10982464 11039300 11104880 12183200 12305032 12319000 12442190 12540160 12685600 12760960 12827000 13252625 13464667 13570688 13728080 13799125 13881100 13990400 14019911 14130304 15229000 15381290 15472664 15675200 15768320 15857000 15951200 16110712 16418560 16645297 16963360 17160100 17331701 17351375 17488000 17662880 17767808 19340830 19493120 19594000 19710400 19907504 19939000 20138390 20296960 20523200 21204200 21416242 21450125 21793327 21964928 22078600 22209760 24366400 24610064 24638000 24884380 25080320 25371200 25521920 25654000 26505250 26929334 27141376 27456160 27598250 27762200 28039822 28260608 30458000 30762580 30945328 31105475 31350400 31536640 31714000 31902400 32221424 32837120 33290594 33926720 34320200 34663402 34702750 34976000 35325760 35535616 38453225 38681660 38986240 39188000 39420800 39815008 39878000 40276780 40593920 41046400 42408400 42832484 42900250 43586654 43929856 44157200 44419520 48352075 48732800 49220128 49276000 49768760 50345975 50742400 51043840 51308000 53010500 53540605 53858668 54282752 54912320 55196500 55524400 56079644 56521216 60916000 61525160 61890656 62210950 62700800 63428000 63804800 64442848 66581188 67323335 67853440 68640400 69326804 69405500 69952000 70099555 70651520 71071232 76906450 77363320 78376000 78841600 79630016 79756000 80553560 82092800 83226485 84816800 85664968 85800500 86658505 87173308 87859712 88314400 88839040 96704150 97465600 98440256 98552000 99537520 100691950 101484800 102616000 106021000 107081210 107717336 108966635 109824640 110393000 111048800 112159288 121832000 123050320 123781312 124421900 125401600 126856000 127609600 128885696 133162376 134646670 135706880 137280800 138653608 138811000 140199110 141303040 153812900 154726640 155527375 156752000 157683200 159260032 159512000 161107120 164185600 166452970 169633600 171329936 171601000 173317010 174346616 176628800 177678080 192266125 193408300 194931200 195342383 196880512 197104000 199075040 201383900 202969600 205232000 212042000 214162420 215434672 217933270 219649280 220786000 222097600 224318576 241760375 243664000 246100640 247562624 248843800 251729875 253712000 255219200 257771392 266324752 267703025 269293340 271413760 274561600 277307216 277622000 280398220 282606080 307625800 309453280 311054750 313504000 318520064 319024000 322214240 332905940 336616675 339267200 342659872 343202000 346634020 348693232 350497775 353257600 355356160 384532250 386816600 390684766 393761024 394208000 398150080 402767800 410464000 416132425 424084000 428324840 430869344 433292525 435866540 439298560 441572000 444195200 448637152 483520750 487328000 492201280 495125248 497687600 503459750 507424000 515542784 532649504 535406050 538586680 544833175 549123200 554614432 555244000 560796440 615251600 618906560 622109500 627008000 637040128 638048000 644428480 665811880 673233350 678534400 685319744 686404000 693268040 697386464 700995550 706515200 769064500 773633200 781369532 787522048 788416000 796300160 805535600 820928000 832264850 848168000 856649680 861738688 866585050 871733080 883144000 888390400 897274304 967041500 974656000 976711915 984402560 990250496 995375200 1006919500 1014848000 1031085568 1065299008 1070812100 1077173360 1089666350 1098246400 1109228864 1110488000 1121592880 1230503200 1237813120 1244219000 1276096000 1288856960 1331623760 1338515125 1346466700 1357068800 1359931367 1370639488 1372808000 1386536080 1394772928 1401991100 1413030400 1538129000 1547266400 1562739064 1592600320 1611071200 1664529700 1681174997 1683083375 1696336000 1713299360 1723477376 1733170100 1743466160 1752488875 1766288000 1776780800 1794548608 1934083000 1953423830 1968805120 1990750400 2013839000 2080662125 2113952719 2130598016 2141624200 2154346720 2166462625 2179332700 2196492800 2201126027 2218457728 2220976000 2243185760 2461006400 2475626240 2488438000 2577713920 2663247520 2677030250 2692933400 2719862734 2724165875 2741278976 2745616000 2773072160 2789545856 2803982200 3076258000 3094532800 3125478128 3185200640 3222142400 3329059400 3362349994 3366166750 3392672000 3426598720 3446954752 3466340200 3486932320 3504977750 3532576000 3589097216 3868166000 3906847660 3937610240 3981500800 4027678000 4161324250 4227905438 4261196032 4283248400 4308693440 4332925250 4358665400 4402252054 4436915456 4441952000 4486371520 4883559575 4922012800 4951252480 4976876000 5155427840 5326495040 5354060500 5385866800 5439725468 5448331750 5482557952 5491232000 5546144320 5579091712 5607964400 6152516000 6189065600 6250956256 6444284800 6658118800 6724699988 6732333500 6785344000 6799656835 6853197440 6893909504 6932680400 6973864640 7009955500 7065152000 7178194432 7736332000 7813695320 7963001600 8055356000 8322648500 8405874985 8455810876 8522392064 8566496800 8617386880 8665850500 8717330800 8804504108 8873830912 8883904000 8972743040 9767119150 9844025600 9953752000 10569763595 10652990080 10708121000 10771733600 10879450936 10896663500 10982464000 11005630135 11092288640 11158183424 11215928800 12305032000 12378131200 12501912512 12888569600 13316237600 13449399976 13464667000 13599313670 13706394880 13865360800 13947729280 14019911000 15472664000 15627390640 15926003200 16110712000 16645297000 16811749970 16911621752 17132993600 17234773760 17331701000 17434661600 17609008216 17945486080 19534238300 19688051200 19907504000 21139527190 21305980160 21416242000 21543467200 21758901872 21793327000 22011260270 22184577280 22431857600 24417797875 24610064000 24756262400 25003825024 25777139200 26632475200 26898799952 26929334000 27198627340 27412789760 27730721600 27895458560 28039822000 30945328000 31254781280 32221424000 33290594000 33623499940 33823243504 33998284175 34265987200 34469547520 34663402000 34869323200 35218016432 35890972160 39068476600 39815008000 42029374925 42279054380 42611960320 42832484000 43086934400 43517803744 43586654000 44022520540 44369154560 44863715200 48835595750 49220128000 50007650048 52848817975 53264950400 53797599904 53858668000 54397254680 55028150675 55461443200 55790917120 56079644000 61890656000 62509562560 64442848000 66581188000 67246999880 67646487008 67996568350 68531974400 69326804000 69738646400 70436032864 78136953200 79630016000 84058749850 84558108760 85664968000 86173868800 87035607488 87173308000 88045041080 89727430400 97671191500 98440256000 100015300096 105697635950 106529900800 107595199808 107717336000 108794509360 110056301350 110922886400 112159288000 123781312000 125019125120 128885696000 133162376000 134493999760 135292974016 135993136700 137063948800 138653608000 139477292800 140872065728 156273906400 168117499700 169116217520 169991420875 171329936000 172347737600 174071214976 174346616000 176090082160 179454860800 195342383000 210146874625 211395271900 213059801600 213509224619 215190399616 215434672000 217589018720 220112602700 221845772800 224318576000 250038250240 264244089875 266324752000 268987999520 270585948032 271986273400 275140753375 277307216000 278954585600 281744131456 312547812800 336234999400 338232435040 339982841750 342659872000 348142429952 348693232000 352180164320 390684766000 420293749250 422790543800 427018449238 430380799232 430869344000 435178037440 440225205400 448637152000 500076500480 528488179750 532649504000 537975999040 541171896064 543972546800 550281506750 554614432000 563488262912 625095625600 672469998800 676464870080 679965683500 685319744000 696284859904 697386464000 704360328640 781369532000 840587498500 845581087600 854036898476 860761598464 861738688000 870356074880 880450410800 897274304000 1056976359500 1065299008000 1067546123095 1075951998080 1082343792128 1087945093600 1100563013500 1109228864000 1126976525824 1250191251200 1344939997600 1352929740160 1359931367000 1394772928000 1408720657280 1562739064000 1681174997000 1691162175200 1708073796952 1740712149760 1760900821600 2113952719000 2135092246190 2151903996160 2175890187200 2201126027000 2500382502400 2689879995200 2705859480320 2719862734000 2817441314560 3125478128000 3362349994000 3382324350400 3416147593904 3481424299520 3521801643200 4227905438000 4270184492380 4303807992320 4351780374400 4402252054000 5337730615475 5379759990400 5411718960640 5439725468000 5634882629120 6250956256000 6724699988000 6764648700800 6832295187808 7043603286400 8455810876000 8540368984760 8703560748800 8804504108000 10675461230950 10759519980800 10879450936000 12501912512000 13449399976000 13529297401600 13664590375616 14087206572800 16911621752000 17080737969520 17407121497600 17609008216000 21350922461900 21519039961600 21758901872000 26688653077375 26898799952000 27058594803200 27329180751232 28174413145600 33823243504000 34161475939040 35218016432000 42701844923800 43517803744000 53377306154750 53797599904000 54658361502464 67646487008000 68322951878080 70436032864000 85403689847600 87035607488000 106754612309500 107595199808000 109316723004928 135292974016000 136645903756160 140872065728000 170807379695200 213509224619000 273291807512320 341614759390400 427018449238000 546583615024640 683229518780800 854036898476000 1366459037561600 1708073796952000 2732918075123200 3416147593904000 6832295187808000 13664590375616000
- Sum of all divisors σ(n): 35294810795532288
- Sum of proper divisors (its aliquot sum) s(n): 21630220419916288
- 13664590375616000 is an abundant number, because the sum of its proper divisors (21630220419916288) is greater than itself. Its abundance is 7965630044300288
Bases of 13664590375616000
- Binary: 1100001000101111011111010111110101011011111110000000002
- Hexadecimal: 0x308BDF5F56FE00
- Base-36: 3QJOY5ODFY8
Squares and roots of 13664590375616000
- 13664590375616000 squared (136645903756160002) is 186721030133377415967379456000000
- 13664590375616000 cubed (136645903756160003) is 2551466391285654159032385116666241744896000000000
-
The
square root of 13664590375616000 is 116895638.8220535795 -
The
cube root of 13664590375616000 is 239073.9217755089
Scales and comparisons
How big is 13664590375616000?- 13,664,590,375,616,000 seconds is equal to 434,491,706 years, 30 weeks, 5 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,664,590,375,616,000 would take you about one billion, three hundred three million, four hundred seventy-five thousand, one hundred nineteen 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 13664590375616000 cubic inches would be around 19922.8 feet tall.
Recreational maths with 13664590375616000
- 13664590375616000 backwards is 00061657309546631
- The number of decimal digits it has is: 17
- The sum of 13664590375616000's digits is 62
- More coming soon!
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The information we have on file for 13664590375616000 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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