12813443771520
12,813,443,771,520 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12813443771520 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
12813443771520 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 12813443771520:
27 × 3 × 5 × 72 × 172 × 151 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 17 × 151 × 3121)See below for interesting mathematical facts about the number 12813443771520 from the Numbermatics database.
Names of 12813443771520
- Cardinal: 12813443771520 can be written as Twelve trillion, eight hundred thirteen billion, four hundred forty-three million, seven hundred seventy-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.281344377152 × 1013
Factors of 12813443771520
Divisors of 12813443771520
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 64 68 70 80 84 85 96 98 102 105 112 119 120 128 136 140 147 151 160 168 170 192 196 204 210 224 238 240 245 255 272 280 289 294 302 320 336 340 357 384 392 408 420 448 453 476 480 490 510 544 560 578 588 595 604 640 672 680 714 735 755 784 816 833 840 867 896 906 952 960 980 1020 1057 1088 1120 1156 1176 1190 1208 1344 1360 1428 1445 1470 1510 1568 1632 1666 1680 1734 1785 1812 1904 1920 1960 2023 2040 2114 2176 2240 2265 2312 2352 2380 2416 2499 2567 2688 2720 2856 2890 2940 3020 3121 3136 3171 3264 3332 3360 3468 3570 3624 3808 3920 4046 4080 4165 4228 4335 4480 4530 4624 4704 4760 4832 4998 5134 5285 5440 5712 5780 5880 6040 6069 6242 6272 6342 6528 6664 6720 6936 7140 7248 7399 7616 7701 7840 8092 8160 8330 8456 8670 9060 9248 9363 9408 9520 9664 9996 10115 10268 10570 10880 11424 11560 11760 12080 12138 12484 12495 12684 12835 13328 13440 13872 14161 14280 14496 14798 15232 15402 15605 15680 15855 16184 16320 16660 16912 17340 17969 18120 18496 18726 18816 19040 19328 19992 20230 20536 21140 21847 22197 22848 23120 23520 24160 24276 24968 24990 25368 25670 26656 27744 28322 28560 28992 29596 30345 30804 31210 31360 31710 32368 32640 33320 33824 34680 35938 36240 36992 36995 37452 38080 38505 39984 40460 41072 42280 42483 43639 43694 44394 45696 46240 46815 47040 48320 48552 49936 49980 50736 51340 53057 53312 53907 55488 56644 57120 57984 59192 60690 61608 62420 63420 64736 65541 66640 67648 69360 70805 71876 72480 73990 74904 76160 77010 79968 80920 82144 84560 84966 87278 87388 88788 89845 92480 93630 94080 96640 97104 99872 99960 101472 102680 106114 106624 107814 109235 110976 110985 113288 114240 118384 121380 123216 124840 125783 126840 129472 130917 131082 133280 135296 138720 141610 143752 144960 147980 149808 152929 154020 159171 159936 161840 164288 169120 169932 174556 174776 177576 179690 184960 187260 194208 199744 199920 202944 205360 212228 212415 215628 218195 218470 221970 226576 228480 236768 242760 246432 249680 251566 253680 258944 261834 262164 265285 266560 269535 277440 283220 287504 289920 295960 299616 305473 305858 308040 318342 319872 323680 327705 328576 338240 339864 349112 349552 355152 359380 371399 374520 377349 388416 399488 399840 405888 410720 424456 424830 431256 436390 436940 443940 453152 458787 471271 473536 485520 492864 499360 503132 507360 523668 524328 530570 533120 539070 554880 566440 575008 591920 599232 610946 611716 616080 628915 636684 647360 654585 655410 676480 679728 698224 699104 710304 718760 742798 749040 754698 764645 776832 795855 799680 821440 848912 849660 862512 872780 873880 887880 901969 906304 916419 917574 942542 947072 971040 985728 998720 1006264 1014720 1047336 1048656 1061140 1078140 1114197 1132880 1150016 1183840 1198464 1221892 1223432 1232160 1257830 1273368 1294720 1309170 1310820 1359456 1396448 1398208 1413813 1420608 1437520 1485596 1498080 1509396 1527365 1529290 1591710 1599360 1642880 1697824 1699320 1725024 1745560 1747760 1775760 1803938 1812608 1832838 1835148 1856995 1885084 1886745 1942080 1997440 2012528 2029440 2094672 2097312 2122280 2138311 2156280 2228394 2265760 2293935 2300032 2356355 2367680 2443784 2446864 2464320 2515660 2546736 2599793 2618340 2621640 2705907 2718912 2792896 2796416 2827626 2841216 2875040 2971192 2996160 3018792 3054730 3058580 3183420 3298897 3395648 3398640 3450048 3491120 3495520 3551520 3607876 3665676 3670296 3713990 3770168 3773490 3884160 4025056 4189344 4194624 4244560 4276622 4312560 4456788 4509845 4531520 4582095 4587870 4712710 4735360 4887568 4893728 4928640 5031320 5093472 5199586 5236680 5243280 5411814 5437824 5570985 5585792 5655252 5750080 5942384 5992320 6037584 6109460 6117160 6313783 6366840 6414933 6597794 6791296 6797280 6900096 6982240 6991040 7069065 7103040 7215752 7331352 7340592 7427980 7540336 7546980 7799379 8011607 8050112 8378688 8389248 8489120 8553244 8625120 8913576 9019690 9063040 9164190 9175740 9425420 9775136 9787456 9896691 10062640 10186944 10399172 10473360 10486560 10691555 10823628 11141970 11310504 11500160 11884768 12075168 12218920 12234320 12627566 12733680 12829866 12998965 13195588 13529535 13594560 13964480 13982080 14138130 14206080 14431504 14662704 14681184 14855960 15080672 15093960 15598758 16023214 16100224 16494485 16757376 16978240 17106488 17250240 17827152 18039380 18328380 18351480 18850840 18941349 19550272 19574912 19793382 20125280 20373888 20798344 20946720 20973120 21383110 21647256 22283940 22621008 23092279 23769536 24034821 24150336 24437840 24468640 25255132 25467360 25659732 25997930 26391176 27059070 27189120 27928960 28276260 28863008 29325408 29362368 29711920 30161344 30187920 31197516 31568915 32046428 32074665 32988970 33956480 34212976 34500480 35654304 36078760 36656760 36702960 37701680 37882698 38996895 39100544 39586764 40058035 40250560 41596688 41893440 41946240 42766220 43294512 44196481 44567880 45242016 46184558 47539072 48069642 48300672 48875680 48937280 49483455 50510264 50934720 51319464 51995860 52782352 54118140 56081249 56552520 57726016 58650816 58724736 59423840 60322688 60375840 62395032 63137830 64092856 64149330 65977940 68425952 69276837 71308608 72157520 73313520 73405920 75403360 75765396 77993790 79173528 80116070 80501120 83193376 83786880 85532440 86589024 88392962 89135760 90484032 92369116 94706745 96139284 97751360 97874560 98966910 101020528 101869440 102638928 103991720 105564704 108236280 112162498 113105040 115452032 115461395 117301632 118847680 120174105 120751680 124790064 126275660 128185712 128298660 131955880 132589443 136197319 136851904 138553674 142617216 144315040 146627040 146811840 150806720 151530792 155987580 158347056 160232140 166386752 168243747 171064880 173178048 176785924 178271520 180968064 184738232 189413490 192278568 195502720 197933820 202041056 205277856 207983440 211129408 216472560 220982405 224324996 226210080 230922790 237695360 240348210 241503360 249580128 252551320 256371424 256597320 263911760 265178886 272394638 273703808 277107348 280406245 288630080 293254080 293623680 301613440 303061584 311975160 316694112 320464280 332773504 336487494 342129760 346356096 346384185 353571848 356543040 369476464 378826980 384557136 392568743 395867640 404082112 408591957 410555712 415966880 422258816 432945120 441964810 448649992 452420160 461845580 480696420 499160256 505102640 512742848 513194640 527823520 530357772 544789276 554214696 560812490 577260160 586508160 606123168 623950320 633388224 640928560 662947215 672974988 680986595 684259520 692768370 707143696 713086080 738952928 757653960 769114272 785137486 791735280 808164224 817183914 821111424 831933760 841218735 865890240 883929620 897299984 904840320 923691160 953381233 961392840 998320512 1010205280 1025485696 1026389280 1055647040 1060715544 1089578552 1108429392 1121624980 1177706229 1212246336 1247900640 1266776448 1281857120 1325894430 1345949976 1361973190 1368519040 1385536740 1414287392 1477905856 1515307920 1538228544 1570274972 1583470560 1634367828 1663867520 1682437470 1731780480 1767859240 1794599968 1847382320 1906762466 1922785680 1962843715 2020410560 2042959785 2052778560 2111294080 2121431088 2179157104 2216858784 2243249960 2355412458 2424492672 2495801280 2563714240 2651788860 2691899952 2723946380 2771073480 2828574784 2860143699 2955811712 3030615840 3076457088 3140549944 3166941120 3268735656 3364874940 3535718480 3589199936 3694764640 3813524932 3845571360 3925687430 4040821120 4085919570 4105557120 4242862176 4358314208 4433717568 4486499920 4710824916 4766906165 4991602560 5127428480 5303577720 5383799904 5447892760 5542146960 5657149568 5720287398 5888531145 6061231680 6281099888 6333882240 6537471312 6673668631 6729749880 7071436960 7178399872 7389529280 7627049864 7691142720 7851374860 8171839140 8485724352 8716628416 8867435136 8972999840 9421649832 9533812330 10607155440 10767599808 10895785520 11084293920 11440574796 11777062290 12122463360 12562199776 13074942624 13347337262 13459499760 14142873920 14300718495 14779058560 15254099728 15382285440 15702749720 16343678280 16971448704 17433256832 17945999680 18843299664 19067624660 20021005893 21214310880 21535199616 21791571040 22168587840 22881149592 23554124580 25124399552 26149885248 26694674524 26918999520 28285747840 28601436990 30508199456 31405499440 32687356560 33368343155 35891999360 37686599328 38135249320 40042011786 42428621760 43583142080 44337175680 45762299184 47108249160 50248799104 52299770496 53389349048 53837999040 57202873980 61016398912 62810998880 65374713120 66736686310 75373198656 76270498640 80084023572 84857243520 87166284160 91524598368 94216498320 100105029465 106778698096 107675998080 114405747960 122032797824 125621997760 130749426240 133473372620 150746397312 152540997280 160168047144 183049196736 188432996640 200210058930 213557396192 228811495920 251243995520 261498852480 266946745240 305081994560 320336094288 366098393472 376865993280 400420117860 427114792384 457622991840 533893490480 610163989120 640672188576 753731986560 800840235720 854229584768 915245983680 1067786980960 1281344377152 1601680471440 1830491967360 2135573961920 2562688754304 3203360942880 4271147923840 6406721885760 12813443771520
- Sum of all divisors σ(n): 50820758190720
- Sum of proper divisors (its aliquot sum) s(n): 38007314419200
- 12813443771520 is an abundant number, because the sum of its proper divisors (38007314419200) is greater than itself. Its abundance is 25193870647680
Bases of 12813443771520
- Binary: 101110100111010111001100001110101100100000002
- Hexadecimal: 0xBA75CC3AC80
- Base-36: 4JIEXL6DC
Squares and roots of 12813443771520
- 12813443771520 squared (128134437715202) is 164184341285904681963110400
- 12813443771520 cubed (128134437715203) is 2103766825230989334668623441286135808000
-
The
square root of 12813443771520 is 3579587.0951158599 -
The
cube root of 12813443771520 is 23400.3285873941
Scales and comparisons
How big is 12813443771520?- 12,813,443,771,520 seconds is equal to 407,427 years, 45 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 12,813,443,771,520 would take you about one million, eighteen thousand, five hundred sixty-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 12813443771520 cubic inches would be around 1950 feet tall.
Recreational maths with 12813443771520
- 12813443771520 backwards is 02517734431821
- 12813443771520 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12813443771520's digits is 48
- More coming soon!
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The information we have on file for 12813443771520 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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