13311993340006400
13,311,993,340,006,400 is an even composite number composed of six prime numbers multiplied together.
13311993340006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 13311993340006400:
212 × 52 × 13 × 412 × 472 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 41 × 41 × 47 × 47 × 2693)See below for interesting mathematical facts about the number 13311993340006400 from the Numbermatics database.
Names of 13311993340006400
- Cardinal: 13311993340006400 can be written as Thirteen quadrillion, three hundred eleven trillion, nine hundred ninety-three billion, three hundred forty million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.33119933400064 × 1016
Factors of 13311993340006400
Divisors of 13311993340006400
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 47 50 52 64 65 80 82 94 100 104 128 130 160 164 188 200 205 208 235 256 260 320 325 328 376 400 410 416 470 512 520 533 611 640 650 656 752 800 820 832 940 1024 1025 1040 1066 1175 1222 1280 1300 1312 1504 1600 1640 1664 1681 1880 1927 2048 2050 2080 2132 2209 2350 2444 2560 2600 2624 2665 2693 3008 3055 3200 3280 3328 3362 3760 3854 4096 4100 4160 4264 4418 4700 4888 5120 5200 5248 5330 5386 6016 6110 6400 6560 6656 6724 7520 7708 8200 8320 8405 8528 8836 9400 9635 9776 10240 10400 10496 10660 10772 11045 12032 12220 12800 13120 13312 13325 13448 13465 15040 15275 15416 16400 16640 16810 17056 17672 18800 19270 19552 20480 20800 20992 21320 21544 21853 22090 24064 24440 25051 25600 26240 26624 26650 26896 26930 28717 30080 30550 30832 32800 33280 33620 34112 35009 35344 37600 38540 39104 41600 41984 42025 42640 43088 43706 44180 48128 48175 48880 50102 51200 52480 53248 53300 53792 53860 55225 57434 60160 61100 61664 65600 66560 67240 67325 68224 70018 70688 75200 77080 78208 79007 83200 83968 84050 85280 86176 87412 88360 90569 96256 96350 97760 100204 102400 104960 106600 107584 107720 109265 110413 110450 114868 120320 122200 123328 125255 126571 131200 133120 134480 134650 136448 140036 141376 143585 150400 154160 156416 158014 166400 167936 168100 170560 172352 174824 175045 176720 181138 192512 192700 195520 200408 209920 213200 215168 215440 218530 220826 220900 229736 240640 244400 246656 250510 253142 262400 266240 268960 269300 272896 280072 282752 287170 300800 308320 312832 316028 332800 336200 341120 344704 349648 350090 353440 362276 385400 391040 395035 400816 419840 426400 430336 430880 437060 441652 441800 452845 459472 481280 488800 493312 501020 506284 524800 537920 538600 545792 546325 552065 560144 565504 574340 601600 616640 625664 626275 632056 632855 665600 672400 682240 689408 699296 700180 706880 717925 724552 770800 782080 790070 801632 839680 852800 860672 861760 874120 875225 883304 883600 905690 918944 962560 977600 986624 1002040 1012568 1027091 1049600 1075840 1077200 1091584 1092650 1104130 1120288 1131008 1148680 1177397 1203200 1233280 1251328 1252550 1264112 1265710 1331200 1344800 1364480 1378816 1398592 1400360 1413760 1435369 1435850 1449104 1541600 1564160 1580140 1603264 1645423 1705600 1721344 1723520 1748240 1750450 1766608 1767200 1811380 1837888 1955200 1973248 1975175 2004080 2025136 2054182 2099200 2151680 2154400 2183168 2185300 2208260 2240576 2262016 2264225 2297360 2354794 2406400 2466560 2502656 2505100 2528224 2531420 2689600 2728960 2757632 2760325 2797184 2800720 2827520 2870738 2871700 2898208 3083200 3128320 3160280 3164275 3206528 3290846 3411200 3442688 3447040 3496480 3500900 3533216 3534400 3622760 3675776 3713329 3910400 3946496 3950350 4008160 4050272 4108364 4198400 4303360 4308800 4370600 4416520 4481152 4524032 4526933 4528450 4594720 4709588 4812800 4933120 5010200 5056448 5062840 5135455 5189411 5379200 5457920 5515264 5520650 5594368 5601440 5655040 5741476 5743400 5796416 5886985 5948837 6166400 6256640 6320560 6328550 6413056 6581692 6822400 6885376 6894080 6992960 7001800 7066432 7068800 7176845 7245520 7351552 7426658 7820800 7892992 7900700 8016320 8100544 8216728 8227115 8606720 8617600 8741200 8833040 8962304 9048064 9053866 9056900 9189440 9419176 9866240 10020400 10112896 10125680 10270910 10378822 10758400 10915840 11030528 11041300 11188736 11202880 11310080 11482952 11486800 11592832 11773970 11897674 12332800 12513280 12641120 12657100 12826112 13163384 13644800 13788160 13985920 14003600 14132864 14137600 14353690 14491040 14703104 14853316 15641600 15801400 16032640 16201088 16433456 16454230 17213440 17235200 17482400 17666080 17924608 18107732 18113800 18378880 18566645 18838352 19732480 20040800 20225792 20251360 20541820 20757644 21516800 22082600 22377472 22405760 22620160 22634665 22965904 22973600 23185664 23547940 23795348 24665600 25282240 25314200 25652224 25677275 25947055 26326768 27289600 27576320 27971840 28007200 28265728 28275200 28707380 28982080 29406208 29434925 29706632 29744185 31283200 31602800 32065280 32402176 32866912 32908460 34426880 34470400 34964800 35332160 35849216 35884225 36215464 36227600 36757760 37133290 37676704 39464960 40081600 40451584 40502720 41083640 41135575 41515288 43033600 44165200 44754944 44811520 45240320 45269330 45931808 45947200 46371328 47095880 47590696 48273277 49331200 50564480 50628400 51304448 51354550 51894110 52653536 54579200 55152640 55943680 56014400 56531456 56550400 57414760 57964160 58812416 58850129 58869850 59413264 59488370 62566400 63205600 64130560 64804352 65733824 65816920 67462343 68940800 69929600 70664320 71698432 71768450 72430928 72455200 73515520 74266580 75353408 77334881 80163200 80903168 81005440 82167280 82271150 83030576 86067200 88330400 89509888 89623040 90538660 91863616 91894400 92742656 92833225 94191760 95181392 96546554 98662400 101128960 101256800 102608896 102709100 103788220 105307072 111887360 112028800 113062912 113100800 113173325 114829520 115928320 117624832 117700258 117739700 118826528 118976740 126411200 128261120 129608704 129735275 131467648 131633840 134924686 137881600 139859200 141328640 143396864 143536900 144861856 144910400 147031040 148533160 148720925 150706816 154669762 160326400 161806336 162010880 164334560 164542300 166061152 172134400 176660800 179246080 181077320 183727232 183788800 185485312 185666450 188383520 190362784 193093108 197324800 202257920 202513600 205418200 207576440 210614144 212765851 223774720 224057600 226125824 226201600 226346650 229659040 231856640 235400516 235479400 237653056 237953480 241366385 243902317 252822400 256522240 259217408 259470550 262935296 263267680 269849372 275763200 279718400 282657280 287073800 289723712 289820800 294062080 294250645 297066320 297441850 301413632 309339524 320652800 323612672 324021760 328669120 329084600 332122304 337311715 353321600 358492160 362154640 367454464 367577600 370970624 371332900 376767040 380725568 386186216 386674405 404515840 405027200 410836400 415152880 421228288 425531702 447549440 448115200 452251648 452693300 459318080 463713280 470801032 470958800 475306112 475906960 482732770 487804634 505644800 513044480 518434816 518941100 525870592 526535360 539698744 559436800 565314560 574147600 579447424 579641600 588124160 588501290 594132640 594883700 602827264 618679048 641305600 648043520 657338240 658169200 664244608 674623430 706643200 716984320 724309280 734908928 735155200 742665800 753534080 761451136 772372432 773348810 809031680 810054400 821672800 830305760 842456576 851063404 896230400 905386600 918636160 927426560 941602064 941917600 950612224 951813920 965465540 975609268 1011289600 1037882200 1051741184 1053070720 1063829255 1079397488 1118873600 1130629120 1148295200 1158894848 1159283200 1177002580 1188265280 1189767400 1205654528 1206831925 1219511585 1237358096 1282611200 1296087040 1314676480 1316338400 1328489216 1349246860 1413286400 1448618560 1469817856 1470310400 1471253225 1485331600 1507068160 1522902272 1544744864 1546697620 1618063360 1620108800 1643345600 1660611520 1684913152 1686558575 1702126808 1792460800 1810773200 1837272320 1854853120 1883204128 1883835200 1901224448 1903627840 1930931080 1933372025 1951218536 2022579200 2075764400 2103482368 2106141440 2127658510 2158794976 2237747200 2261258240 2296590400 2317789696 2318566400 2354005160 2376530560 2379534800 2411309056 2413663850 2439023170 2474716192 2565222400 2592174080 2629352960 2632676800 2656978432 2698493720 2765956063 2826572800 2897237120 2939635712 2940620800 2942506450 2970663200 3014136320 3045804544 3089489728 3093395240 3170730121 3240217600 3286691200 3321223040 3369826304 3373117150 3404253616 3584921600 3621546400 3674544640 3766408256 3767670400 3802448896 3807255680 3861862160 3866744050 3902437072 4045158400 4151528800 4206964736 4212282880 4255317020 4317589952 4593180800 4635579392 4637132800 4708010320 4753061120 4759069600 4822618112 4827327700 4878046340 4949432384 5258705920 5265353600 5313956864 5319146275 5396987440 5531912126 5653145600 5794474240 5879271424 5885012900 5941326400 6028272640 6091609088 6097557925 6178979456 6186790480 6341460242 6480435200 6573382400 6642446080 6739652608 6746234300 6808507232 7243092800 7349089280 7532816512 7535340800 7604897792 7614511360 7723724320 7733488100 7804874144 8090316800 8303057600 8424565760 8510634040 8635179904 9186361600 9271158784 9274265600 9416020640 9506122240 9518139200 9654655400 9756092680 9898864768 9999994997 10517411840 10530707200 10627913728 10638292550 10793974880 11063824252 11306291200 11588948480 11770025800 11882652800 12056545280 12183218176 12195115850 12357958912 12373580960 12682920484 12960870400 13146764800 13284892160 13492468600 13617014464 13829780315 14486185600 14698178560 15065633024 15070681600 15209795584 15229022720 15447448640 15466976200 15609748288 15853650605 16606115200 16849131520 17021268080 17270359808 18372723200 18542317568 18832041280 19012244480 19036278400 19309310800 19512185360 19797729536 19999989994 21034823680 21061414400 21255827456 21276585100 21587949760 22127648504 23177896960 23540051600 23765305600 24113090560 24366436352 24390231700 24715917824 24747161920 25365840968 26293529600 26569784320 26984937200 27234028928 27659560630 28972371200 29396357120 30131266048 30141363200 30458045440 30894897280 30933952400 31219496576 31707301210 33212230400 33698263040 34042536160 34540719616 36745446400 37664082560 38024488960 38072556800 38618621600 39024370720 39595459072 39999979988 42122828800 42553170200 43175899520 44255297008 46355793920 47080103200 47530611200 48780463400 49431835648 49494323840 49999974985 50731681936 52587059200 53139568640 53969874400 54468057856 55319121260 57944742400 60262532096 60282726400 60916090880 61789794560 61867904800 62438993152 63414602420 66424460800 68085072320 69081439232 69148901575 73490892800 75328165120 76048977920 76145113600 77237243200 78048741440 79190918144 79268253025 79999959976 84245657600 85106340400 86351799040 88510594016 92711587840 94160206400 95061222400 97560926800 98863671296 98988647680 99999949970 101463363872 105174118400 106279137280 107939748800 108936115712 110638242520 115889484800 120525064192 120565452800 121832181760 123579589120 123735809600 124877986304 126829204840 129999934961 132848921600 136170144640 138162878464 138297803150 146981785600 150656330240 152290227200 154474486400 156097482880 158381836288 158536506050 159999919952 168491315200 170212680800 172703598080 177021188032 188320412800 190122444800 195121853600 197727342592 197977295360 199999899940 202926727744 215879497600 217872231424 221276485040 231778969600 241050128384 247159178240 247471619200 249755972608 249999874925 253658409680 259999869922 265697843200 272340289280 276325756928 276595606300 301312660480 304580454400 308948972800 312194965760 316763672576 317073012100 319999839904 340425361600 345407196160 354042376064 376640825600 380244889600 390243707200 395954590720 399999799880 405853455488 431758995200 435744462848 442552970080 463557939200 494318356480 494943238400 499511945216 499999749850 507316819360 519999739844 531395686400 544680578560 553191212600 602625320960 609160908800 617897945600 624389931520 634146024200 639999679808 649999674805 680850723200 690814392320 708084752128 753281651200 780487414400 791909181440 799999599760 811706910976 863517990400 871488925696 885105940160 988636712960 989886476800 999023890432 999999499700 1014633638720 1039999479688 1089361157120 1106382425200 1205250641920 1235795891200 1248779863040 1268292048400 1279999359616 1299999349610 1361701446400 1381628784640 1416169504256 1506563302400 1560974828800 1583818362880 1599999199520 1623413821952 1727035980800 1770211880320 1979772953600 1999998999400 2029267277440 2079998959376 2178722314240 2212764850400 2471591782400 2497559726080 2536584096800 2559998719232 2599998699220 2723402892800 2832339008512 3013126604800 3121949657600 3199998399040 3246827643904 3249998374025 3454071961600 3540423760640 3959545907200 3999997998800 4058534554880 4159997918752 4357444628480 4425529700800 4943183564800 4995119452160 5073168193600 5119997438464 5199997398440 5446805785600 5664678017024 6026253209600 6243899315200 6399996798080 6493655287808 6499996748050 6908143923200 7080847521280 7919091814400 7999995997600 8117069109760 8319995837504 8851059401600 10146336387200 10239994876928 10399994796880 10893611571200 11329356034048 12487798630400 12799993596160 12987310575616 12999993496100 14161695042560 15999991995200 16234138219520 16639991675008 17702118803200 20292672774400 20479989753856 20799989593760 21787223142400 24975597260800 25599987192320 25999986992200 28323390085120 31999983990400 32468276439040 33279983350016 35404237606400 40585345548800 40959979507712 41599979187520 51199974384640 51999973984400 56646780170240 63999967980800 64936552878080 66559966700032 70808475212800 81170691097600 83199958375040 102399948769280 103999947968800 127999935961600 133119933400064 141616950425600 162341382195200 166399916750080 204799897538560 207999895937600 255999871923200 266239866800128 283233900851200 324682764390400 332799833500160 415999791875200 511999743846400 532479733600256 665599667000320 831999583750400 1023999487692800 1331199334000640 1663999167500800 2662398668001280 3327998335001600 6655996670003200 13311993340006400
- Sum of all divisors σ(n): 37242693540445596
- Sum of proper divisors (its aliquot sum) s(n): 23930700200439196
- 13311993340006400 is an abundant number, because the sum of its proper divisors (23930700200439196) is greater than itself. Its abundance is 10618706860432796
Bases of 13311993340006400
- Binary: 1011110100101100101111111110100100100010010000000000002
- Hexadecimal: 0x2F4B2FFA489000
- Base-36: 3N2PHBD5NNK
Squares and roots of 13311993340006400
- 13311993340006400 squared (133119933400064002) is 177209166684374749114752040960000
- 13311993340006400 cubed (133119933400064003) is 2359007246690480680946530063405261619462144000000
-
The
square root of 13311993340006400 is 115377611.9531271977 -
The
cube root of 13311993340006400 is 236999.6459489355
Scales and comparisons
How big is 13311993340006400?- 13,311,993,340,006,400 seconds is equal to 423,280,211 years, 26 weeks, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,311,993,340,006,400 would take you about one billion, two hundred sixty-nine million, eight hundred forty thousand, six hundred thirty-four 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 13311993340006400 cubic inches would be around 19750 feet tall.
Recreational maths with 13311993340006400
- 13311993340006400 backwards is 00460004339911331
- 13311993340006400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13311993340006400's digits is 47
- More coming soon!
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The information we have on file for 13311993340006400 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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