12468138134400
12,468,138,134,400 is an even composite number composed of seven prime numbers multiplied together.
12468138134400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12468138134400:
27 × 32 × 52 × 13 × 43 × 73 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 43 × 73 × 103 × 103)See below for interesting mathematical facts about the number 12468138134400 from the Numbermatics database.
Names of 12468138134400
- Cardinal: 12468138134400 can be written as Twelve trillion, four hundred sixty-eight billion, one hundred thirty-eight million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.24681381344 × 1013
Factors of 12468138134400
Divisors of 12468138134400
- Number of divisors d(n): 1728
-
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 43 45 48 50 52 60 64 65 72 73 75 78 80 86 90 96 100 103 104 117 120 128 129 130 144 146 150 156 160 172 180 192 195 200 206 208 215 219 225 234 240 258 260 288 292 300 309 312 320 325 344 360 365 384 387 390 400 412 416 430 438 450 468 480 515 516 520 559 576 584 585 600 618 624 640 645 650 657 688 720 730 774 780 800 824 832 860 876 900 927 936 949 960 975 1030 1032 1040 1075 1095 1118 1152 1168 1170 1200 1236 1248 1290 1300 1314 1339 1376 1440 1460 1545 1548 1560 1600 1648 1664 1677 1720 1752 1800 1825 1854 1872 1898 1920 1935 1950 2060 2064 2080 2150 2190 2236 2336 2340 2400 2472 2496 2575 2580 2600 2628 2678 2752 2795 2847 2880 2920 2925 3090 3096 3120 3139 3200 3225 3285 3296 3354 3440 3504 3600 3650 3708 3744 3796 3870 3900 4017 4120 4128 4160 4300 4380 4429 4472 4635 4672 4680 4745 4800 4944 4992 5031 5150 5160 5200 5256 5356 5475 5504 5590 5694 5760 5840 5850 6180 6192 6240 6278 6450 6570 6592 6695 6708 6880 7008 7200 7300 7416 7488 7519 7592 7725 7740 7800 8034 8240 8256 8320 8385 8541 8600 8760 8858 8944 9270 9344 9360 9417 9490 9600 9675 9888 10062 10300 10320 10400 10512 10609 10712 10950 11180 11388 11680 11700 12051 12360 12384 12480 12556 12900 13140 13184 13287 13390 13416 13760 13975 14016 14235 14400 14600 14832 14976 15038 15184 15450 15480 15600 15695 16068 16425 16480 16512 16770 17082 17200 17520 17716 17888 18540 18720 18834 18980 19350 19776 20085 20124 20600 20640 20800 21024 21218 21424 21900 22145 22360 22557 22776 23175 23360 23400 23725 24102 24720 24768 24960 25112 25155 25800 26280 26574 26780 26832 27520 27950 28032 28251 28470 28800 29200 29664 30076 30368 30900 30960 31200 31390 31827 32136 32850 32960 33475 33540 34164 34400 35040 35432 35776 37080 37440 37595 37668 37960 38700 39552 39861 40170 40248 40807 41200 41280 41600 41925 42048 42436 42705 42848 43800 44290 44720 45114 45552 46350 46720 46800 47085 47450 48204 49440 49536 50224 50310 51600 52560 53045 53148 53560 53664 55900 56502 56940 57577 58400 59328 60152 60255 60736 61800 61920 62400 62780 63654 64272 65700 65920 66435 66950 67080 67671 68328 68800 70080 70864 71175 71552 74160 74880 75190 75336 75920 77400 78475 79722 80340 80496 81614 82400 82560 83850 84096 84872 85410 85696 87600 88580 89440 90228 91104 92700 93600 94170 94900 95481 96408 97747 98880 100425 100448 100620 103200 105120 106090 106296 107120 107328 110725 111800 112785 113004 113880 115154 116800 118656 120304 120510 121472 122421 123600 123840 124800 125560 125775 127308 128544 131400 132870 133900 134160 135342 136656 137600 137917 140160 141255 141728 142350 148320 150380 150672 151840 154800 156950 159135 159444 160680 160992 163228 164800 167700 169744 170820 171392 172731 175200 177160 178880 180456 182208 185400 187200 187975 188340 189800 190962 192816 195494 197760 199305 200850 200896 201240 204035 206400 210240 212180 212592 213525 214240 214656 221450 223600 225570 226008 227760 230308 233600 235425 240608 241020 244842 247200 247680 251120 251550 254616 257088 262800 265225 265740 267800 268320 270684 273312 275834 282510 283456 284700 287885 293241 296640 300760 301275 301344 303680 309600 313900 318270 318888 321360 321984 323317 326456 329600 332175 335400 338355 339488 341640 345462 350400 354320 357760 360912 364416 367263 370800 374400 375950 376680 379600 381924 385632 390988 398610 401700 401792 402480 408070 412800 413751 420480 424360 425184 427050 428480 442900 447200 451140 452016 455520 456187 460616 470850 477405 481216 482040 488735 489684 494400 502240 503100 509232 514176 518193 525600 530450 531480 535600 536640 541368 546624 551668 563925 565020 566912 569400 575770 586482 593280 601520 602550 602688 607360 612105 619200 627800 636540 637776 642720 643968 646634 652912 664350 670800 676710 678976 683280 689585 690924 700800 706275 708640 721824 734526 741600 751900 753360 759200 763848 771264 774457 781976 795675 797220 803400 804960 816140 827502 848720 850368 854100 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54136800 54742440 55166800 55273920 55760904 56302272 58084275 58197060 58391936 58648200 58762080 59304310 60407646 61107840 61956560 62062650 62076864 62558080 63046815 63777600 64663400 65291200 65690928 66200160 66328704 66603302 67249936 68428050 69092400 69701130 70377840 71165172 72182400 72746325 72989920 73452600 74347872 75656178 76384800 77445700 77596080 78197600 78349440 79440192 80543528 82113660 82750200 82910880 84062420 87587904 87972300 88266880 88956465 90403200 90611469 91237400 92123200 92934840 93115296 93837120 94886896 96995100 97936800 99130496 99300240 99904953 100679410 100874904 101846400 102642075 103461440 103638600 105078025 106747758 108273600 109484880 110333600 110547840 111521808 112604544 116168550 116394120 117296400 117524160 118608620 120815292 123913120 124125300 124153728 126093630 127555200 129326800 130582400 131381856 132400320 133206604 134499872 136856100 138184800 139402260 140755680 142330344 145492650 145979840 146905200 148260775 148695744 151019115 151312356 152769600 154891400 155192160 156395200 158880384 161087056 164227320 165500400 165821760 166508255 168124840 174252825 175175808 175944600 177912930 181222938 182474800 184246400 185869680 186230592 187674240 189140445 189773792 193990200 195873600 198600480 199809906 201358820 201749808 205284150 206922880 207277200 210156050 213495516 216547200 218969760 220667200 223043616 232337100 232788240 234592800 235048320 237217240 241630584 247826240 248250600 251698525 252187260 258653600 262763712 264800640 266413208 266869395 268999744 273712200 276369600 278804520 281511360 284660688 290985300 291959680 293810400 296521550 297391488 299714859 302038230 302624712 305539200 309782800 310384320 312790400 315234075 322174112 328454640 331000800 331643520 333016510 336249680 348505650 351889200 355825860 362445876 364949600 371739360 372461184 378280890 379547584 387980400 391747200 397200960 399619812 402717640 403499616 410568300 414554400 420312100 426991032 432921463 437939520 441334400 444782325 446087232 453057345 464674200 465576480 469185600 474434480 483261168 495652480 496501200 499524765 503397050 504374520 517307200 525527424 532826416 533738790 537999488 547424400 552739200 557609040 563022720 569321376 581970600 587620800 593043100 599429718 604076460 605249424 619565600 620768640 630468150 644348224 656909280 662001600 666033020 672499360 697011300 703778400 711651720 724891752 729899200 743478720 755095575 756561780 759095168 775960800 794401920 799239624 805435280 806999232 821136600 829108800 832541275 840624200 853982064 865842926 875879040 889564650 892174464 906114690 929348400 931152960 938371200 945702225 948868960 966522336 993002400 999049530 1006794100 1008749040 1034614400 1065652832 1067477580 1094848800 1115218080 1138642752 1163941200 1175241600 1186086200 1198859436 1208152920 1210498848 1239131200 1260936300 1288696448 1298764389 1313818560 1324003200 1332066040 1334346975 1344998720 1394022600 1407556800 1423303440 1449783504 1459798400 1486957440 1498574295 1510191150 1513123560 1551921600 1598479248 1610870560 1613998464 1642273200 1658217600 1665082550 1681248400 1707964128 1731685852 1779129300 1812229380 1858696800 1862305920 1891404450 1897737920 1933044672 1986004800 1998099060 2013588200 2017498080 2131305664 2134955160 2164607315 2189697600 2230436160 2265286725 2277285504 2327882400 2372172400 2397718872 2416305840 2420997696 2478262400 2497623825 2521872600 2597528778 2627637120 2664132080 2668693950 2689997440 2788045200 2815113600 2846606880 2899567008 2997148590 3020382300 3026247120 3103843200 3196958496 3221741120 3284546400 3330165100 3362496800 3415928256 3463371704 3558258600 3624458760 3717393600 3782808900 3795475840 3866089344 3896293167 3972009600 3996198120 4027176400 4034996160 4262611328 4269910320 4329214630 4379395200 4460872320 4530573450 4655764800 4744344800 4795437744 4832611680 4841995392 4995247650 5043745200 5195057556 5328264160 5337387900 5576090400 5693213760 5799134016 5994297180 6040764600 6052494240 6393916992 6443482240 6493821945 6569092800 6660330200 6724993600 6831856512 6926743408 7116517200 7248917520 7434787200 7492871475 7565617800 7792586334 7992396240 8054352800 8069992320 8539820640 8658429260 9061146900 9311529600 9488689600 9590875488 9665223360 9990495300 10087490400 10390115112 10656528320 10674775800 10823036575 11152180800 11386427520 11598268032 11988594360 12081529200 12104988480 12787833984 12987643890 13138185600 13320660400 13449987200 13853486816 14233034400 14497835040 14985742950 15131235600 15585172668 15984792480 16108705600 17079641280 17316858520 18122293800 18977379200 19181750976 19330446720 19481465835 19980990600 20174980800 20780230224 21313056640 21349551600 21646073150 22304361600 23977188720 24163058400 24209976960 25975287780 26641320800 27706973632 28466068800 28995670080 29971485900 30262471200 31170345336 31969584960 32217411200 32469109725 34159282560 34633717040 36244587600 38363501952 38962931670 39961981200 40349961600 41560460448 42699103200 43292146300 47954377440 48326116800 51950575560 53282641600 55413947264 56932137600 57991340160 59942971800 60524942400 62340690672 63939169920 64938219450 69267434080 72489175200 77925863340 79923962400 83120920896 85398206400 86584292600 95908754880 96652233600 97407329175 103901151120 106565283200 119885943600 121049884800 124681381344 129876438900 138534868160 144978350400 155851726680 159847924800 166241841792 170796412800 173168585200 191817509760 194814658350 207802302240 239771887200 249362762688 259752877800 277069736320 289956700800 311703453360 319695849600 346337170400 389629316700 415604604480 479543774400 498725525376 519505755600 623406906720 692674340800 779258633400 831209208960 959087548800 1039011511200 1246813813440 1385348681600 1558517266800 2078023022400 2493627626880 3117034533600 4156046044800 6234069067200 12468138134400
- Sum of all divisors σ(n): 50184403148880
- Sum of proper divisors (its aliquot sum) s(n): 37716265014480
- 12468138134400 is an abundant number, because the sum of its proper divisors (37716265014480) is greater than itself. Its abundance is 25248126880080
Bases of 12468138134400
- Binary: 101101010110111101101111000111001011100000002
- Hexadecimal: 0xB56F6F1CB80
- Base-36: 4F3S7IZK0
Squares and roots of 12468138134400
- 12468138134400 squared (124681381344002) is 155454468538479512463360000
- 12468138134400 cubed (124681381344003) is 1938227787347501443137538898755584000000
-
The
square root of 12468138134400 is 3531025.0826636731 -
The
cube root of 12468138134400 is 23188.2087664297
Scales and comparisons
How big is 12468138134400?- 12,468,138,134,400 seconds is equal to 396,448 years, 11 weeks, 5 days, 8 hours.
-
To count from 1 to 12,468,138,134,400 would take you about nine hundred ninety-one thousand, one hundred twenty 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 12468138134400 cubic inches would be around 1932.4 feet tall.
Recreational maths with 12468138134400
- 12468138134400 backwards is 00443183186421
- 12468138134400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12468138134400's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 12468138134400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/12468138134400/
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The information we have on file for 12468138134400 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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