13138762239349248
13,138,762,239,349,248 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13138762239349248 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13138762239349248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13138762239349248:
29 × 3 × 17 × 29 × 31 × 792 × 89681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 29 × 31 × 79 × 79 × 89681)See below for interesting mathematical facts about the number 13138762239349248 from the Numbermatics database.
Names of 13138762239349248
- Cardinal: 13138762239349248 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, seven hundred sixty-two billion, two hundred thirty-nine million, three hundred forty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.3138762239349248 × 1016
Factors of 13138762239349248
Divisors of 13138762239349248
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 29 31 32 34 48 51 58 62 64 68 79 87 93 96 102 116 124 128 136 158 174 186 192 204 232 237 248 256 272 316 348 372 384 408 464 474 493 496 512 527 544 632 696 744 768 816 899 928 948 986 992 1054 1088 1264 1343 1392 1479 1488 1536 1581 1632 1798 1856 1896 1972 1984 2108 2176 2291 2449 2528 2686 2697 2784 2958 2976 3162 3264 3596 3712 3792 3944 3968 4029 4216 4352 4582 4898 5056 5372 5394 5568 5916 5952 6241 6324 6528 6873 7192 7347 7424 7584 7888 7936 8058 8432 8704 9164 9796 10112 10744 10788 11136 11832 11904 12482 12648 13056 13746 14384 14694 14848 15168 15283 15776 15872 16116 16864 18328 18723 19592 20224 21488 21576 22272 23664 23808 24964 25296 26112 27492 28768 29388 30336 30566 31552 32232 33728 36656 37446 38947 39184 40448 41633 42976 43152 44544 45849 47328 47616 49928 50592 54984 57536 58776 60672 61132 63104 64464 67456 71021 73312 74892 77894 78368 83266 85952 86304 89681 91698 94656 99856 101184 106097 109968 115072 116841 117552 121344 122264 124899 126208 128928 134912 142042 146624 149784 155788 156736 166532 171904 172608 179362 180989 183396 189312 193471 199712 202368 212194 213063 219936 230144 233682 235104 244528 249798 252416 257856 269043 269824 284084 293248 299568 311576 313472 318291 333064 343808 345216 358724 361978 366792 378624 386942 399424 404736 424388 426126 439872 460288 467364 470208 489056 499596 515712 538086 542967 568168 580413 586496 599136 623152 626944 636582 666128 687616 690432 717448 723956 733584 757248 773884 798848 809472 848776 852252 879744 934728 940416 978112 999192 1031424 1076172 1085934 1136336 1160826 1172992 1198272 1207357 1246304 1253888 1273164 1332256 1380864 1434896 1447912 1467168 1524577 1547768 1597696 1697552 1704504 1759488 1869456 1880832 1956224 1998384 2062848 2152344 2171868 2272672 2321652 2396544 2414714 2492608 2546328 2600749 2664512 2780111 2869792 2895824 2934336 3049154 3076813 3095536 3195392 3289007 3395104 3409008 3518976 3622071 3738912 3761664 3912448 3996768 4304688 4343736 4545344 4573731 4643304 4793088 4829428 4985216 5092656 5201498 5329024 5560222 5610659 5739584 5791648 5868672 6098308 6153626 6191072 6578014 6790208 6818016 7084799 7244142 7477824 7802247 7824896 7993536 8340333 8609376 8687472 9090688 9147462 9230439 9286608 9586176 9658856 9867021 9970432 10185312 10402996 10658048 11120444 11221318 11479168 11583296 11737344 12196616 12307252 12382144 13156028 13580416 13636032 14169598 14488284 14955648 15604494 15987072 16680666 16831977 17218752 17374944 18181376 18294924 18460878 18573216 19317712 19734042 19940864 20370624 20805992 21254397 21316096 22240888 22442636 22958336 23166592 23474688 24393232 24614504 24764288 26312056 27160832 27272064 28339196 28976568 29911296 31208988 31974144 33361332 33663954 34437504 34749888 36362752 36589848 36921756 37146432 38635424 39468084 40741248 41611984 42508794 44212733 44481776 44885272 45916672 46333184 47261887 48786464 49229008 49528576 52624112 54321664 54544128 56678392 57953136 59822592 62417976 63948288 66722664 67327908 68875008 69499776 73179696 73843512 74292864 77270848 78936168 80623219 81482496 83223968 85017588 88425466 88963552 89770544 92666368 94523774 95381203 97572928 98458016 99057152 105248224 109088256 113356784 115906272 120441583 124835952 132638199 133445328 134655816 137750016 138999552 141785661 146359392 147687024 148585728 154541696 157872336 161246438 162964992 166447936 170035176 176850932 177927104 179541088 189047548 190762406 195145856 196916032 205459171 210496448 219628769 226713568 231812544 240883166 241869657 249671904 265276398 266890656 269311632 277999104 283571322 286143609 292718784 295374048 297171456 309083392 315744672 322492876 332895872 340070352 353701864 355854208 359082176 361324749 378095096 381524812 390291712 393832064 410918342 420992896 439257538 453427136 463625088 481766332 483739314 499343808 530552796 533781312 538623264 559699121 567142644 572287218 585437568 590748096 616377513 618166784 631489344 644985752 658886307 665791744 680140704 707403728 711708416 718164352 722649498 756190192 763049624 780583424 787664128 821836684 841985792 878515076 906854272 927250176 963532664 967478628 998687616 1061105592 1067562624 1077246528 1119398242 1134285288 1144574436 1170875136 1181496192 1232755026 1262978688 1289971504 1317772614 1331583488 1360281408 1370594723 1414807456 1423416832 1436328704 1445298996 1512380384 1526099248 1575328256 1643673368 1679097363 1683971584 1757030152 1813708544 1854500352 1927065328 1934957256 1997375232 2122211184 2135125248 2154493056 2238796484 2268570576 2289148872 2341750272 2362992384 2465510052 2525957376 2579943008 2635545228 2720562816 2741189446 2829614912 2872657408 2890597992 3024760768 3052198496 3287346736 3358194726 3492805907 3514060304 3627417088 3733689073 3854130656 3869914512 3994750464 4111784169 4244422368 4270250496 4308986112 4477592968 4537141152 4578297744 4725984768 4931020104 5051914752 5159886016 5271090456 5441125632 5482378892 5659229824 5781195984 6049521536 6104396992 6369234301 6574693472 6716389452 6985611814 7028120608 7467378146 7708261312 7739829024 8223568338 8488844736 8617972224 8955185936 9074282304 9156595488 9514885057 9862040208 10319772032 10478417721 10542180912 10882251264 10964757784 11201067219 11318459648 11562391968 12099043072 12208793984 12738468602 13149386944 13432778904 13971223628 14056241216 14934756292 15416522624 15479658048 16231274509 16447136676 16977689472 17350672751 17910371872 18148564608 18313190976 19029770114 19107702903 19724080416 20639544064 20956835442 21084361824 21929515568 22402134438 22636919296 23124783936 24198086144 24417587968 25476937204 26298773888 26865557808 27942447256 28112482432 28544655171 29869512584 30833045248 30959316096 32462549018 32894273352 33955378944 34701345502 35820743744 36297129216 36626381952 38059540228 38215405806 39448160832 41279088128 41913670884 42168723648 43859031136 44804268876 46249567872 48693823527 48835175936 50953874408 52052018253 52597547776 53731115616 55884894512 56224964864 57089310342 59739025168 61666090496 61918632192 64925098036 65788546704 67910757888 69402691004 71641487488 72594258432 73252763904 76119080456 76430811612 78896321664 83827341768 84337447296 87718062272 89608537752 92499135744 97387647054 101907748816 104104036506 105195095552 107462231232 108276983117 111769789024 112449929728 114178620684 119478050336 123837264384 129850196072 131577093408 138805382008 143282974976 146505527808 152238160912 152861623224 157792643328 167654683536 168674894592 175436124544 179217075504 184998271488 194775294108 203815497632 208208073012 214924462464 216553966234 223539578048 228357241368 238956100672 259700392144 263154186816 275931666653 277610764016 286565949952 294961436767 304476321824 305723246448 315585286656 324830949351 335309367072 337349789184 350872249088 358434151008 389550588216 407630995264 416416146024 429848924928 433107932468 447079156096 456714482736 477912201344 503169509779 519400784288 526308373632 551863333306 555221528032 589922873534 608952643648 611446492896 649661898702 670618734144 701744498176 716868302016 779101176432 815261990528 827794999959 832832292048 859697849856 866215864936 884884310301 894158312192 913428965472 955824402688 1006339019558 1038801568576 1052616747264 1103726666612 1110443056064 1179845747068 1217905287296 1222892985792 1299323797404 1341237468288 1433736604032 1509508529337 1558202352864 1630523981056 1655589999918 1665664584096 1732431729872 1769768620602 1788316624384 1826857930944 1911648805376 2012678039116 2077603137152 2105233494528 2207453333224 2220886112128 2359691494136 2435810574592 2445785971584 2598647594808 2682474936576 2867473208064 3019017058674 3116404705728 3261047962112 3311179999836 3331329168192 3464863459744 3539537241204 3653715861888 4025356078232 4155206274304 4414906666448 4441772224256 4719382988272 4871621149184 4891571943168 5197295189616 5364949873152 5734946416128 6038034117348 6232809411456 6622359999672 6662658336384 6929726919488 7079074482408 7307431723776 8050712156464 8310412548608 8553881666243 8829813332896 8883544448512 9438765976544 9783143886336 10394590379232 12076068234696 12465618822912 13244719999344 13325316672768 13859453838976 14158148964816 14614863447552 16101424312928 17107763332486 17659626665792 18877531953088 20789180758464 24152136469392 24931237645824 25661644998729 26489439998688 26650633345536 27718907677952 28316297929632 32202848625856 34215526664972 35319253331584 37755063906176 41578361516928 48304272938784 51323289997458 52978879997376 55437815355904 56632595859264 64405697251712 68431053329944 70638506663168 75510127812352 83156723033856 96608545877568 102646579994916 105957759994752 113265191718528 128811394503424 136862106659888 141277013326336 151020255624704 166313446067712 193217091755136 205293159989832 211915519989504 226530383437056 257622789006848 273724213319776 386434183510272 410586319979664 423831039979008 453060766874112 547448426639552 772868367020544 821172639959328 1094896853279104 1642345279918656 2189793706558208 3284690559837312 4379587413116416 6569381119674624 13138762239349248
- Sum of all divisors σ(n): 40083943233438720
- Sum of proper divisors (its aliquot sum) s(n): 26945180994089472
- 13138762239349248 is an abundant number, because the sum of its proper divisors (26945180994089472) is greater than itself. Its abundance is 13806418754740224
Bases of 13138762239349248
- Binary: 1011101010110110100010011110000001000010010010000000002
- Hexadecimal: 0x2EADA278109200
- Base-36: 3LDAW1OIQDC
Squares and roots of 13138762239349248
- 13138762239349248 squared (131387622393492482) is 172627073182149665990014518165504
- 13138762239349248 cubed (131387622393492483) is 2268106070615007260410784708882384098043721940992
-
The
square root of 13138762239349248 is 114624439.9739830703 -
The
cube root of 13138762239349248 is 235967.1159735141
Scales and comparisons
How big is 13138762239349248?- 13,138,762,239,349,248 seconds is equal to 417,771,998 years, 18 weeks, 1 day, 21 hours, 48 seconds.
-
To count from 1 to 13,138,762,239,349,248 would take you about one billion, two hundred fifty-three million, three hundred fifteen thousand, nine hundred ninety-five 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 13138762239349248 cubic inches would be around 19663.9 feet tall.
Recreational maths with 13138762239349248
- 13138762239349248 backwards is 84294393226783131
- The number of decimal digits it has is: 17
- The sum of 13138762239349248's digits is 75
- More coming soon!
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The information we have on file for 13138762239349248 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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