13431316977314384512
13,431,316,977,314,384,512 is an even composite number composed of six prime numbers multiplied together.
13431316977314384512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13431316977314384512:
27 × 72 × 132 × 101 × 1272 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 101 × 127 × 127 × 2789 × 2789)See below for interesting mathematical facts about the number 13431316977314384512 from the Numbermatics database.
Names of 13431316977314384512
- Cardinal: 13431316977314384512 can be written as Thirteen quintillion, four hundred thirty-one quadrillion, three hundred sixteen trillion, nine hundred seventy-seven billion, three hundred fourteen million, three hundred eighty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.3431316977314384512 × 1019
Factors of 13431316977314384512
Divisors of 13431316977314384512
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 101 104 112 127 128 169 182 196 202 208 224 254 338 364 392 404 416 448 508 637 676 707 728 784 808 832 889 896 1016 1183 1274 1313 1352 1414 1456 1568 1616 1651 1664 1778 2032 2366 2548 2626 2704 2789 2828 2912 3136 3232 3302 3556 4064 4732 4949 5096 5252 5408 5578 5656 5824 6223 6272 6464 6604 7112 8128 8281 9191 9464 9898 10192 10504 10816 11156 11312 11557 11648 12446 12827 12928 13208 14224 16129 16256 16562 17069 18382 18928 19523 19796 20384 21008 21463 21632 22312 22624 23114 24892 25654 26416 28448 32258 33124 34138 36257 36764 37856 39046 39592 40768 42016 42926 44624 45248 46228 49784 51308 52832 56896 64337 64516 66248 68276 72514 73528 75712 78092 79184 80899 81536 84032 85852 89248 89789 90496 92456 99568 102616 105664 112903 113792 119483 128674 129032 132496 136552 136661 145028 147056 150241 151424 156184 158368 161798 166751 168064 171704 178496 179578 184912 199136 205232 209677 211328 225806 238966 253799 257348 258064 264992 273104 273322 281689 290056 294112 300482 312368 316736 323596 333502 343408 354203 356992 359156 369824 398272 410464 419354 451612 471341 477932 507598 514696 516128 529984 546208 546644 563378 580112 588224 600964 624736 628523 633472 647192 667004 686816 708406 718312 739648 790321 796544 820928 836381 838708 903224 942682 955864 1015196 1029392 1032256 1051687 1059968 1092416 1093288 1126756 1160224 1167257 1176448 1201928 1249472 1257046 1294384 1334008 1373632 1416812 1436624 1467739 1479296 1580642 1629029 1641856 1672762 1677416 1776593 1806448 1885364 1911728 1971823 2030392 2058784 2064512 2103374 2167763 2184832 2186576 2253512 2320448 2334514 2403856 2479421 2498944 2514092 2588768 2668016 2725801 2747264 2833624 2873248 2935478 3161284 3258058 3299387 3345524 3354832 3553186 3612896 3661957 3770728 3823456 3943646 4060784 4117568 4206748 4335526 4373152 4507024 4604639 4640896 4669028 4807712 4958842 5028184 5177536 5336032 5451602 5667248 5746496 5870956 6322568 6516116 6598774 6691048 6709664 7106372 7225792 7323914 7541456 7646912 7778521 7887292 8121568 8170799 8235136 8413496 8671052 8746304 9014048 9209278 9338056 9615424 9917684 10056368 10274173 10355072 10672064 10903204 11334496 11403203 11492992 11741912 12645136 13032232 13197548 13382096 13419328 13802761 14212744 14451584 14647828 15082912 15174341 15293824 15557042 15774584 16243136 16341598 16826992 17342104 17355947 17492608 18028096 18418556 18676112 19080607 19230848 19835368 20112736 20548346 21177377 21344128 21806408 22668992 22806406 23095709 23483824 25290272 25633699 26064464 26395096 26764192 26838656 27605522 28425488 29295656 30165824 30348682 31114084 31549168 32232473 32486272 32683196 33653984 34684208 34711894 35774503 36056192 36837112 37352224 38161214 39670736 40225472 41096692 42354754 43612816 44983781 45337984 45612812 46191418 46967648 47605441 50580544 51267398 52128928 52790192 53528384 54449647 55211044 56850976 58591312 59860307 60331648 60697364 62228168 63098336 64464946 65366392 67307968 69368416 69423788 71549006 73674224 74704448 76322428 79341472 79822421 80450944 82193384 84709508 87225632 89967562 91225624 92382836 93935296 95210882 101120773 101161088 102534796 104257856 105580384 106220387 107056768 108899294 110422088 113701952 117182624 119720614 121394728 124456336 126196672 128929892 130732784 133564249 134615936 138736832 138847576 143098012 147348448 148241639 149408896 152644856 158682944 159644842 164386768 169419016 174451264 179435893 179935124 182451248 184765672 187870592 190421764 202241546 205069592 208515712 211160768 212440774 217798588 220844176 225627311 227403904 234365248 239441228 242789456 248912672 250421521 252393344 257859784 261465568 267128498 275305901 277473664 277695152 286196024 294696896 296483278 305289712 314886467 317365888 319289684 328773536 333238087 338838032 348902528 358871786 359870248 364902496 369531344 380843528 381147529 404483092 410139184 419022149 422321536 424881548 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6385605687488 6505807172501 6523907790868 6615134898736 6811624054144 7025746851704 7123991429408 7435208197144 7560154169984 8007147289232 8029424973376 8180569414927 8244983347328 8497380796736 9079533086897 9151025473408 9349222188488 9479957098976 9777958708966 10068393126064 10376609242168 10684825358272 10749594210446 11174809953104 11416838634019 11506735001216 11576486072788 11920342094752 12285250526224 12295056990482 12671436286109 12771211374976 13011614345002 13047815581736 13230269797472 14051493703408 14247982858816 14870416394288 16014294578464 16058849946752 16361138829854 16861990018523 16994761593472 18159066173794 18698444376976 18959914197952 19555917417932 20136786252128 20753218484336 21202700320321 21369650716544 21499188420892 22349619906208 22833677268038 23152972145576 23840684189504 24570501052448 24590113980964 25342872572218 26023228690004 26095631163472 26460539594944 28102987406816 28495965717632 29740832788576 32028589156928 32722277659708 33723980037046 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208765049307776 236067860259322 254226926433116 261778221277664 269791840296368 290545058780704 296837804484494 300988637892488 312894678686912 319671481752532 329457343438834 339243205125136 343987014734272 354800216011052 365338836288608 370447554329216 393441823695424 405485961155488 416371659040064 472135720518644 508453852866232 523556442555328 539583680592736 581090117561408 593675608968988 601977275784976 620900378019341 625789357373824 639342963505064 658914686877668 678486410250272 687974029468544 709600432022104 730677672577216 786883647390848 810971922310976 826237510907627 832743318080128 944271441037288 1016907705732464 1038932315695729 1047112885110656 1079167361185472 1153100702035919 1162180235122816 1187351217937976 1203954551569952 1241800756038682 1278685927010128 1317829373755336 1356972820500544 1419200864044208 1461355345154432 1621943844621952 1652475021815254 1888542882074576 2033815411464928 2077864631391458 2141472732352421 2158334722370944 2306201404071838 2374702435875952 2407909103139904 2483601512077364 2557371854020256 2635658747510672 2713945641001088 2838401728088416 3304950043630508 3777085764149152 4067630822929856 4155729262782916 4282945464704842 4612402808143676 4749404871751904 4815818206279808 4967203024154728 5114743708040512 5271317495021344 5676803456176832 6609900087261016 7554171528298304 8071704914251433 8135261645859712 8311458525565832 8565890929409684 9224805616287352 9498809743503808 9934406048309456 10229487416081024 10542634990042688 11353606912353664 13219800174522032 14990309126466947 15108343056596608 16143409828502866 16622917051131664 17131781858819368 18449611232574704 18997619487007616 19868812096618912 21085269980085376 26439600349044064 29980618252933894 32286819657005732 33245834102263328 34263563717638736 36899222465149408 39737624193237824 52879200698088128 59961236505867788 64573639314011464 66491668204526656 68527127435277472 73798444930298816 79475248386475648 104932163885268629 105758401396176256 119922473011735576 129147278628022928 132983336409053312 137054254870554944 147596889860597632 209864327770537258 239844946023471152 258294557256045856 274108509741109888 419728655541074516 479689892046942304 516589114512091712 839457311082149032 959379784093884608 1033178229024183424 1678914622164298064 1918759568187769216 3357829244328596128 6715658488657192256 13431316977314384512
- Sum of all divisors σ(n): 34320963918063977370
- Sum of proper divisors (its aliquot sum) s(n): 20889646940749592858
- 13431316977314384512 is an abundant number, because the sum of its proper divisors (20889646940749592858) is greater than itself. Its abundance is 7458329963435208346
Bases of 13431316977314384512
- Binary: 10111010011001011001111110100000111100100111111101001010100000002
- Hexadecimal: 0xBA659FA0F27F4A80
- Base-36: 2U1M4I5XPAP34
Squares and roots of 13431316977314384512
- 13431316977314384512 squared (134313169773143845122) is 180400275745093614595761758069385478144
- 13431316977314384512 cubed (134313169773143845123) is 2423013286327272242829136585823708554131675466374188105728
-
The
square root of 13431316977314384512 is 3664876120.3230846055 -
The
cube root of 13431316977314384512 is 2377056.6548377525
Scales and comparisons
How big is 13431316977314384512?- 13,431,316,977,314,384,512 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,431,316,977,314,384,512 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 13431316977314384512 cubic inches would be around 198088.1 feet tall.
Recreational maths with 13431316977314384512
- 13431316977314384512 backwards is 21548341377961313431
- The number of decimal digits it has is: 20
- The sum of 13431316977314384512's digits is 76
- More coming soon!
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"Number 13431316977314384512 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13431316977314384512 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13431316977314384512/
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Numbermatics. 2024. "Number 13431316977314384512 - Facts about the integer". https://numbermatics.com/n/13431316977314384512/
The information we have on file for 13431316977314384512 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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