12438825984000
12,438,825,984,000 is an even composite number composed of five prime numbers multiplied together.
12438825984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 12438825984000:
213 × 32 × 53 × 13 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 47 × 47 × 47)See below for interesting mathematical facts about the number 12438825984000 from the Numbermatics database.
Names of 12438825984000
- Cardinal: 12438825984000 can be written as Twelve trillion, four hundred thirty-eight billion, eight hundred twenty-five million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.2438825984 × 1013
Factors of 12438825984000
Divisors of 12438825984000
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 47 48 50 52 60 64 65 72 75 78 80 90 94 96 100 104 117 120 125 128 130 141 144 150 156 160 180 188 192 195 200 208 225 234 235 240 250 256 260 282 288 300 312 320 325 360 375 376 384 390 400 416 423 450 468 470 480 500 512 520 564 576 585 600 611 624 640 650 705 720 750 752 768 780 800 832 846 900 936 940 960 975 1000 1024 1040 1125 1128 1152 1170 1175 1200 1222 1248 1280 1300 1410 1440 1500 1504 1536 1560 1600 1625 1664 1692 1800 1833 1872 1880 1920 1950 2000 2048 2080 2115 2209 2250 2256 2304 2340 2350 2400 2444 2496 2560 2600 2820 2880 2925 3000 3008 3055 3072 3120 3200 3250 3328 3384 3525 3600 3666 3744 3760 3840 3900 4000 4096 4160 4230 4418 4500 4512 4608 4680 4700 4800 4875 4888 4992 5120 5200 5499 5640 5760 5850 5875 6000 6016 6110 6144 6240 6400 6500 6627 6656 6768 7050 7200 7332 7488 7520 7680 7800 8000 8192 8320 8460 8836 9000 9024 9165 9216 9360 9400 9600 9750 9776 9984 10240 10400 10575 10998 11045 11280 11520 11700 11750 12000 12032 12220 12288 12480 12800 13000 13254 13312 13536 14100 14400 14625 14664 14976 15040 15275 15360 15600 16000 16640 16920 17625 17672 18000 18048 18330 18432 18720 18800 19200 19500 19552 19881 19968 20480 20800 21150 21996 22090 22560 23040 23400 23500 24000 24064 24440 24576 24960 25600 26000 26508 26624 27072 27495 28200 28717 28800 29250 29328 29952 30080 30550 30720 31200 32000 33135 33280 33840 35250 35344 36000 36096 36660 36864 37440 37600 38400 39000 39104 39762 39936 40960 41600 42300 43992 44180 45120 45825 46080 46800 47000 48000 48128 48880 49920 51200 52000 52875 53016 53248 54144 54990 55225 56400 57434 57600 58500 58656 59904 60160 61100 61440 62400 64000 66270 66560 67680 70500 70688 72000 72192 73320 73728 74880 75200 76375 76800 78000 78208 79524 79872 83200 84600 86151 87984 88360 90240 91650 92160 93600 94000 96000 96256 97760 99405 99840 102400 103823 104000 105750 106032 106496 108288 109980 110450 112800 114868 115200 117000 117312 119808 120320 122200 122880 124800 128000 132540 133120 135360 137475 141000 141376 143585 144000 144384 146640 149760 150400 152750 153600 156000 156416 159048 159744 165675 166400 169200 172302 175968 176720 180480 183300 184320 187200 188000 192000 192512 195520 198810 199680 204800 207646 208000 211500 212064 216576 219960 220900 225600 229125 229736 230400 234000 234624 239616 240640 244400 249600 256000 258453 265080 266240 270720 274950 276125 282000 282752 287170 288000 288768 293280 299520 300800 305500 307200 311469 312000 312832 318096 319488 331350 332800 338400 344604 351936 353440 360960 366600 368640 374400 376000 384000 385024 391040 397620 399360 415292 416000 423000 424128 430755 433152 439920 441800 451200 458250 459472 460800 468000 469248 479232 481280 488800 497025 499200 512000 516906 519115 530160 532480 541440 549900 552250 564000 565504 574340 576000 577536 586560 599040 601600 611000 614400 622938 624000 625664 636192 662700 665600 676800 687375 689208 703872 706880 717925 721920 733200 748800 752000 768000 782080 795240 798720 828375 830584 832000 846000 848256 861510 866304 879840 883600 902400 916500 918944 921600 934407 936000 938496 958464 962560 977600 994050 998400 1024000 1033812 1038230 1060320 1082880 1099800 1104500 1128000 1131008 1148680 1152000 1155072 1173120 1198080 1203200 1222000 1245876 1248000 1251328 1272384 1292265 1325400 1331200 1349699 1353600 1374750 1378416 1407744 1413760 1435850 1443840 1466400 1497600 1504000 1536000 1557345 1564160 1590480 1597440 1656750 1661168 1664000 1692000 1696512 1723020 1732608 1759680 1767200 1804800 1833000 1837888 1843200 1868814 1872000 1876992 1925120 1955200 1988100 1996800 2067624 2076460 2120640 2153775 2165760 2199600 2209000 2256000 2262016 2297360 2304000 2346240 2396160 2406400 2444000 2485125 2491752 2496000 2502656 2544768 2584530 2595575 2650800 2662400 2699398 2707200 2749500 2756832 2815488 2827520 2871700 2887680 2932800 2995200 3008000 3072000 3114690 3128320 3180960 3313500 3322336 3328000 3384000 3393024 3446040 3465216 3519360 3534400 3589625 3609600 3666000 3675776 3737628 3744000 3753984 3910400 3976200 3993600 4049097 4135248 4152920 4241280 4307550 4331520 4399200 4418000 4512000 4524032 4594720 4608000 4672035 4692480 4792320 4812800 4888000 4970250 4983504 4992000 5005312 5089536 5169060 5191150 5301600 5398796 5414400 5499000 5513664 5630976 5655040 5743400 5775360 5865600 5990400 6016000 6229380 6256640 6361920 6461325 6627000 6644672 6656000 6748495 6768000 6786048 6892080 7038720 7068800 7179250 7219200 7332000 7351552 7475256 7488000 7507968 7786725 7820800 7952400 7987200 8098194 8270496 8305840 8482560 8615100 8663040 8798400 8836000 9024000 9048064 9189440 9216000 9344070 9384960 9625600 9776000 9940500 9967008 9984000 10179072 10338120 10382300 10603200 10768875 10797592 10828800 10998000 11027328 11261952 11310080 11486800 11731200 11980800 12032000 12147291 12458760 12513280 12723840 12922650 12977875 13254000 13289344 13312000 13496990 13536000 13572096 13784160 14077440 14137600 14358500 14438400 14664000 14703104 14950512 14976000 15015936 15573450 15641600 15904800 16196388 16540992 16611680 16965120 17230200 17326080 17596800 17672000 18048000 18096128 18378880 18688140 18769920 19552000 19881000 19934016 19968000 20245485 20358144 20676240 20764600 21206400 21537750 21595184 21657600 21996000 22054656 22523904 22620160 22973600 23360175 23462400 23961600 24064000 24294582 24917520 25026560 25447680 25845300 25955750 26508000 26578688 26993980 27072000 27144192 27568320 28154880 28275200 28717000 28876800 29328000 29406208 29901024 29952000 31146900 31283200 31809600 32306625 32392776 33081984 33223360 33742475 33930240 34460400 35193600 35344000 36096000 36757760 37376280 37539840 38933625 39104000 39762000 39868032 39936000 40490970 40716288 41352480 41529200 42412800 43075500 43190368 43315200 43992000 44109312 45047808 45240320 45947200 46720350 46924800 48128000 48589164 49835040 50895360 51690600 51911500 53016000 53157376 53987960 54144000 54288384 55136640 56309760 56550400 57434000 58656000 58812416 59802048 59904000 60736455 62293800 62566400 63619200 64613250 64785552 66163968 66446720 67484950 67860480 68920800 70387200 70688000 72192000 73515520 74752560 75079680 77867250 78208000 79524000 79736064 80981940 81432576 82704960 83058400 84825600 86151000 86380736 86630400 87984000 88218624 90480640 91894400 93440700 93849600 97178328 99670080 101227425 101790720 103381200 103823000 106032000 106314752 107975920 108288000 110273280 112619520 113100800 114868000 116800875 117312000 117624832 119604096 119808000 121472910 124587600 125132800 127238400 129226500 129571104 132327936 132893440 134969900 135720960 137841600 140774400 141376000 144384000 147031040 149505120 155734500 156416000 159048000 159472128 161963880 162865152 165409920 166116800 168712375 169651200 172302000 172761472 175968000 176437248 183788800 186881400 187699200 194356656 199340160 202454850 203581440 206762400 207646000 212064000 212629504 215951840 216576000 220546560 225239040 226201600 229736000 233601750 234624000 235249664 239208192 242945820 249175200 254476800 258453000 259142208 264655872 265786880 269939800 271441920 275683200 281548800 282752000 294062080 299010240 303682275 311469000 312832000 318096000 318944256 323927760 330819840 332233600 337424750 339302400 344604000 345522944 351936000 352874496 367577600 373762800 375398400 388713312 398680320 404909700 407162880 413524800 415292000 424128000 425259008 431903680 433152000 441093120 452403200 459472000 467203500 469248000 478416384 485891640 498350400 506137125 508953600 516906000 518284416 529311744 531573760 539879600 551366400 563097600 565504000 588124160 598020480 607364550 622938000 625664000 636192000 637888512 647855520 661639680 664467200 674849500 678604800 689208000 691045888 703872000 705748992 735155200 747525600 777426624 797360640 809819400 814325760 827049600 830584000 848256000 850518016 863807360 882186240 918944000 934407000 938496000 956832768 971783280 996700800 1012274250 1017907200 1033812000 1036568832 1058623488 1063147520 1079759200 1102732800 1126195200 1131008000 1176248320 1196040960 1214729100 1245876000 1272384000 1275777024 1295711040 1323279360 1328934400 1349699000 1357209600 1378416000 1382091776 1407744000 1470310400 1495051200 1518411375 1554853248 1594721280 1619638800 1654099200 1661168000 1696512000 1727614720 1764372480 1837888000 1868814000 1876992000 1913665536 1943566560 1993401600 2024548500 2035814400 2067624000 2073137664 2117246976 2126295040 2159518400 2205465600 2262016000 2392081920 2429458200 2491752000 2544768000 2551554048 2591422080 2646558720 2657868800 2699398000 2756832000 2764183552 2815488000 2940620800 2990102400 3036822750 3109706496 3189442560 3239277600 3308198400 3322336000 3393024000 3455229440 3528744960 3675776000 3737628000 3827331072 3887133120 3986803200 4049097000 4071628800 4135248000 4146275328 4252590080 4319036800 4410931200 4784163840 4858916400 4983504000 5089536000 5182844160 5293117440 5315737600 5398796000 5513664000 5528367104 5630976000 5881241600 5980204800 6073645500 6219412992 6378885120 6478555200 6616396800 6644672000 6786048000 6910458880 7351552000 7475256000 7654662144 7774266240 7973606400 8098194000 8270496000 8292550656 8638073600 8821862400 9568327680 9717832800 9967008000 10179072000 10365688320 10586234880 10631475200 10797592000 11027328000 11056734208 11960409600 12147291000 12438825984 12757770240 12957110400 13232793600 13289344000 13820917760 14703104000 14950512000 15548532480 15947212800 16196388000 16540992000 16585101312 17276147200 17643724800 19136655360 19435665600 19934016000 20358144000 20731376640 21262950400 21595184000 22054656000 23920819200 24294582000 24877651968 25914220800 26465587200 26578688000 27641835520 29406208000 29901024000 31097064960 31894425600 32392776000 33081984000 33170202624 34552294400 38273310720 38871331200 39868032000 41462753280 43190368000 44109312000 47841638400 48589164000 49755303936 51828441600 52931174400 53157376000 55283671040 59802048000 62194129920 63788851200 64785552000 66163968000 69104588800 77742662400 79736064000 82925506560 86380736000 88218624000 95683276800 97178328000 99510607872 103656883200 106314752000 119604096000 124388259840 129571104000 132327936000 138209177600 155485324800 159472128000 165851013120 172761472000 191366553600 194356656000 207313766400 239208192000 248776519680 259142208000 264655872000 276418355200 310970649600 318944256000 345522944000 388713312000 414627532800 478416384000 497553039360 518284416000 621941299200 691045888000 777426624000 829255065600 956832768000 1036568832000 1243882598400 1382091776000 1554853248000 2073137664000 2487765196800 3109706496000 4146275328000 6219412992000 12438825984000
- Sum of all divisors σ(n): 49342702106880
- Sum of proper divisors (its aliquot sum) s(n): 36903876122880
- 12438825984000 is an abundant number, because the sum of its proper divisors (36903876122880) is greater than itself. Its abundance is 24465050138880
Bases of 12438825984000
- Binary: 101101010000001000111100110111100000000000002
- Hexadecimal: 0xB5023CDE000
- Base-36: 4EQBFTVK0
Squares and roots of 12438825984000
- 12438825984000 squared (124388259840002) is 154724391860233568256000000
- 12438825984000 cubed (124388259840003) is 1924589785829671405131770363904000000000
-
The
square root of 12438825984000 is 3526871.9829333187 -
The
cube root of 12438825984000 is 23170.0229555363
Scales and comparisons
How big is 12438825984000?- 12,438,825,984,000 seconds is equal to 395,516 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 12,438,825,984,000 would take you about nine hundred eighty-eight thousand, seven hundred ninety 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 12438825984000 cubic inches would be around 1930.8 feet tall.
Recreational maths with 12438825984000
- 12438825984000 backwards is 00048952883421
- The number of decimal digits it has is: 14
- The sum of 12438825984000's digits is 54
- More coming soon!
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The information we have on file for 12438825984000 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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