13297457946040320
13,297,457,946,040,320 is an even composite number composed of seven prime numbers multiplied together.
13297457946040320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13297457946040320:
211 × 3 × 5 × 13 × 292 × 281 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 29 × 281 × 140897)See below for interesting mathematical facts about the number 13297457946040320 from the Numbermatics database.
Names of 13297457946040320
- Cardinal: 13297457946040320 can be written as Thirteen quadrillion, two hundred ninety-seven trillion, four hundred fifty-seven billion, nine hundred forty-six million, forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.329745794604032 × 1016
Factors of 13297457946040320
Divisors of 13297457946040320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 64 65 78 80 87 96 104 116 120 128 130 145 156 160 174 192 195 208 232 240 256 260 281 290 312 320 348 377 384 390 416 435 464 480 512 520 562 580 624 640 696 754 768 780 832 841 843 870 928 960 1024 1040 1124 1131 1160 1248 1280 1392 1405 1508 1536 1560 1664 1682 1686 1740 1856 1885 1920 2048 2080 2248 2262 2320 2496 2523 2560 2784 2810 3016 3072 3120 3328 3364 3372 3480 3653 3712 3770 3840 4160 4205 4215 4496 4524 4640 4992 5046 5120 5568 5620 5655 6032 6144 6240 6656 6728 6744 6960 7306 7424 7540 7680 8149 8320 8410 8430 8992 9048 9280 9984 10092 10240 10933 10959 11136 11240 11310 12064 12480 12615 13312 13456 13488 13920 14612 14848 15080 15360 16298 16640 16820 16860 17984 18096 18265 18560 19968 20184 21866 21918 22272 22480 22620 24128 24447 24960 25230 26624 26912 26976 27840 29224 29696 30160 30720 32596 32799 33280 33640 33720 35968 36192 36530 37120 39936 40368 40745 43732 43836 44544 44960 45240 48256 48894 49920 50460 53824 53952 54665 54795 55680 58448 59392 60320 65192 65598 66560 67280 67440 71936 72384 73060 74240 79872 80736 81490 87464 87672 89088 89920 90480 96512 97788 99840 100920 105937 107648 107904 109330 109590 111360 116896 120640 122235 130384 131196 133120 134560 134880 140897 143872 144768 146120 148480 161472 162980 163995 174928 175344 178176 179840 180960 193024 195576 199680 201840 211874 215296 215808 218660 219180 222720 233792 236321 241280 244470 260768 262392 269120 269760 281794 287744 289536 292240 296960 317811 322944 325960 327990 349856 350688 359680 361920 386048 391152 399360 403680 422691 423748 430592 431616 437320 438360 445440 467584 472642 482560 488940 521536 524784 529685 538240 539520 563588 575488 579072 584480 635622 645888 651920 655980 699712 701376 704485 708963 719360 723840 772096 782304 807360 845382 847496 861184 863232 874640 876720 890880 935168 945284 965120 977880 1043072 1049568 1059370 1076480 1079040 1127176 1158144 1168960 1181605 1271244 1291776 1303840 1311960 1399424 1402752 1408970 1417926 1438720 1447680 1564608 1589055 1614720 1690764 1694992 1722368 1726464 1749280 1753440 1831661 1870336 1890568 1930240 1955760 2086144 2099136 2113455 2118740 2152960 2158080 2254352 2316288 2337920 2363210 2542488 2583552 2607680 2623920 2798848 2805504 2817940 2835852 2877440 2895360 3072173 3129216 3178110 3229440 3381528 3389984 3498560 3506880 3544815 3663322 3740672 3781136 3860480 3911520 4086013 4172288 4198272 4226910 4237480 4305920 4316160 4508704 4675840 4726420 5084976 5167104 5215360 5247840 5494983 5597696 5611008 5635880 5671704 5790720 6144346 6258432 6356220 6458880 6763056 6779968 6997120 7013760 7089630 7326644 7481344 7562272 7823040 8172026 8344576 8396544 8453820 8474960 8611840 8632320 9017408 9158305 9216519 9351680 9452840 10169952 10430720 10495680 10989966 11195392 11222016 11271760 11343408 11581440 12258039 12288692 12516864 12712440 12917760 13526112 13559936 13994240 14027520 14179260 14653288 15124544 15360865 15646080 16344052 16689152 16793088 16907640 16949920 18034816 18316610 18433038 18703360 18905680 20339904 20430065 20861440 20991360 21979932 22390784 22444032 22543520 22686816 24516078 24577384 25033728 25424880 25835520 27052224 27119872 27474915 27988480 28055040 28358520 29306576 30249088 30721730 31292160 32688104 33586176 33815280 33899840 36069632 36633220 36866076 37406720 37811360 39592057 40679808 40860130 41722880 41982720 43959864 45087040 45373632 46082595 49032156 49154768 50067456 50849760 53118169 54104448 54239744 54949830 55976960 56110080 56717040 58613152 60498176 61290195 61443460 62584320 65376208 67172352 67630560 67799680 72139264 73266440 73732152 75622720 79184114 81359616 81720260 83445760 83965440 87919728 90174080 90747264 92165190 98064312 98309536 101699520 106236338 108208896 108479488 109899660 111953920 112220160 113434080 117226304 118494377 118776171 120996352 122580390 122886920 125168640 130752416 135261120 135599360 144278528 146532880 147464304 151245440 158368228 159354507 162719232 163440520 167930880 175839456 180348160 181494528 184330380 196128624 196619072 197960285 203399040 212472676 216417792 216958976 219799320 226868160 234452608 236988754 237552342 241992704 245160780 245773840 250337280 261504832 265590845 270522240 271198720 288557056 293065760 294928608 302490880 316736456 318709014 325438464 326881040 335861760 351678912 355483131 360696320 362989056 368660760 392257248 393238144 395920570 406798080 424945352 432835584 439598640 453736320 468905216 473977508 475104684 483985408 490321560 491547680 514696741 523009664 531181690 541044480 542397440 586131520 589857216 592471885 593880855 604981760 633472912 637418028 650876928 653762080 703357824 710966262 721392640 725978112 737321520 784514496 786476288 791841140 796772535 813596160 849890704 865671168 879197280 907472640 937810432 947955016 950209368 980643120 983095360 1029393482 1046019328 1062363380 1082088960 1084794880 1148169653 1172263040 1179714432 1184943770 1187761710 1209963520 1266945824 1274836056 1307524160 1406715648 1421932524 1442785280 1451956224 1474643040 1540426901 1544090223 1569028992 1572952576 1583682280 1593545070 1627192320 1699781408 1758394560 1777415655 1814945280 1875620864 1895910032 1900418736 1961286240 1966190720 2058786964 2092038656 2124726760 2164177920 2296339306 2344526080 2359428864 2369887540 2375523420 2419927040 2533891648 2549672112 2573483705 2615048320 2813431296 2843865048 2949286080 3080853802 3088180446 3138057984 3145905152 3167364560 3187090140 3254384640 3399562816 3444508959 3516789120 3554831310 3629890560 3751241728 3791820064 3800837472 3922572480 3932381440 4117573928 4184077312 4249453520 4328355840 4592678612 4621280703 4689052160 4718857728 4739775080 4751046840 5067783296 5099344224 5146967410 5230096640 5626862592 5687730096 5740848265 5898572160 6161707604 6176360892 6276115968 6291810304 6334729120 6374180280 6799125632 6889017918 7033578240 7109662620 7259781120 7583640128 7601674944 7702134505 7720451115 7845144960 7864762880 8235147856 8368154624 8498907040 9185357224 9242561406 9378104320 9437715456 9479550160 9502093680 10135566592 10198688448 10293934820 10460193280 11253725184 11375460192 11481696530 11797144320 12323415208 12352721784 12552231936 12669458240 12748360560 13598251264 13778035836 14067156480 14219325240 14926205489 15167280256 15203349888 15404269010 15440902230 15690289920 15729525760 16470295712 16997814080 17222544795 18370714448 18485122812 18756208640 18875430912 18959100320 19004187360 20271133184 20397376896 20587869640 20920386560 22750920384 22963393060 23106403515 23594288640 24646830416 24705443568 25104463872 25338916480 25496721120 27196502528 27556071672 28134312960 28438650480 29852410978 30334560512 30406699776 30808538020 30881804460 31380579840 31459051520 32940591424 33296919937 33995628160 34445089590 36741428896 36970245624 37918200640 38008374720 40542266368 40794753792 41175739280 41840773120 44778616467 45501840768 45926786120 46212807030 47188577280 49293660832 49410887136 50677832960 50993442240 54393005056 55112143344 56268625920 56877300960 59704821956 60669121024 60813399552 61617076040 61763608920 62761159680 65881182848 66593839874 67991256320 68890179180 73482857792 73940491248 74631027445 75836401280 76016749440 81084532736 81589507584 82351478560 89557232934 91003681536 91853572240 92425614060 94377154560 98587321664 98821774272 99890759811 101355665920 101986884480 108786010112 110224286688 113754601920 119409643912 121338242048 121626799104 123234152080 123527217840 125522319360 131762365696 133187679748 135982512640 137780358360 146965715584 147880982496 149262054890 151672802560 152033498880 163179015168 164702957120 166484599685 179114465868 182007363072 183707144480 184851228120 197174643328 197643548544 199781519622 202711331840 203973768960 220448573376 223893082335 227509203840 238819287824 242676484096 243253598208 246468304160 247054435680 263524731392 266375359496 271965025280 275560716720 293931431168 295761964992 298524109780 303345605120 304066997760 326358030336 329405914240 332969199370 358228931736 364014726144 367414288960 369702456240 394349286656 395287097088 399563039244 405422663680 407947537920 432859959181 440897146752 447786164670 455018407680 477638575648 492936608320 494108871360 499453799055 527049462784 532750718992 543930050560 551121433440 587862862336 591523929984 597048219560 606691210240 608133995520 658811828480 665938398740 716457863472 728029452288 734828577920 739404912480 788698573312 790574194176 799126078488 815895075840 865719918362 881794293504 895572329340 910036815360 955277151296 985873216640 988217742720 998907598110 1054098925568 1065501437984 1102242866880 1175725724672 1183047859968 1194096439120 1213382420480 1216267991040 1298579877543 1317623656960 1331876797480 1432915726944 1469657155840 1478809824960 1577397146624 1581148388352 1598252156976 1631790151680 1731439836724 1763588587008 1791144658680 1820073630720 1910554302592 1971746433280 1976435485440 1997815196220 2131002875968 2164299795905 2204485733760 2351451449344 2366095719936 2388192878240 2597159755086 2635247313920 2663753594960 2865831453888 2939314311680 2957619649920 3154794293248 3162296776704 3196504313952 3462879673448 3527177174016 3582289317360 3640147261440 3821108605184 3943492866560 3952870970880 3995630392440 4262005751936 4328599591810 4408971467520 4732191439872 4776385756480 5194319510172 5270494627840 5327507189920 5731662907776 5878628623360 5915239299840 6393008627904 6492899387715 6925759346896 7054354348032 7164578634720 7642217210368 7886985733120 7905741941760 7991260784880 8524011503872 8657199183620 8817942935040 9464382879744 9552771512960 10388639020344 10655014379840 11463325815552 11757257246720 11830478599680 12786017255808 12985798775430 13851518693792 14329157269440 15284434420736 15773971466240 15811483883520 15982521569760 17048023007744 17314398367240 17635885870080 19105543025920 20777278040688 21310028759680 22926651631104 23660957199360 25572034511616 25971597550860 27703037387584 28658314538880 30568868841472 31965043139520 34096046015488 34628796734480 35271771740160 38211086051840 41554556081376 42620057519360 45853303262208 47321914398720 51144069023232 51943195101720 55406074775168 57316629077760 63930086279040 68192092030976 69257593468960 76422172103680 83109112162752 85240115038720 91706606524416 102288138046464 103886390203440 110812149550336 114633258155520 127860172558080 138515186937920 152844344207360 166218224325504 170480230077440 204576276092928 207772780406880 221624299100672 229266516311040 255720345116160 277030373875840 332436448651008 340960460154880 415545560813760 443248598201344 458533032622080 511440690232320 554060747751680 664872897302016 831091121627520 886497196402688 1022881380464640 1108121495503360 1329745794604032 1662182243255040 2216242991006720 2659491589208064 3324364486510080 4432485982013440 6648728973020160 13297457946040320
- Sum of all divisors σ(n): 47617355801171520
- Sum of proper divisors (its aliquot sum) s(n): 34319897855131200
- 13297457946040320 is an abundant number, because the sum of its proper divisors (34319897855131200) is greater than itself. Its abundance is 21022439909090880
Bases of 13297457946040320
- Binary: 1011110011110111110111101100010100101000011000000000002
- Hexadecimal: 0x2F3DF7B14A1800
- Base-36: 3MXJZUIVRPC
Squares and roots of 13297457946040320
- 13297457946040320 squared (132974579460403202) is 176822387826710845924767065702400
- 13297457946040320 cubed (132974579460403203) is 2351288266044119287863848517331169559359520768000
-
The
square root of 13297457946040320 is 115314604.2183743525 -
The
cube root of 13297457946040320 is 236913.3543940965
Scales and comparisons
How big is 13297457946040320?- 13,297,457,946,040,320 seconds is equal to 422,818,030 years, 49 weeks, 1 day, 8 hours, 32 minutes.
-
To count from 1 to 13,297,457,946,040,320 would take you about one billion, two hundred sixty-eight million, four hundred fifty-four thousand and ninety-two 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 13297457946040320 cubic inches would be around 19742.8 feet tall.
Recreational maths with 13297457946040320
- 13297457946040320 backwards is 02304064975479231
- The number of decimal digits it has is: 17
- The sum of 13297457946040320's digits is 66
- More coming soon!
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Numbermatics. (2024). Number 13297457946040320 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13297457946040320/
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The information we have on file for 13297457946040320 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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