13982145900800
13,982,145,900,800 is an even composite number composed of seven prime numbers multiplied together.
13982145900800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13982145900800:
28 × 52 × 7 × 112 × 41 × 53 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 41 × 53 × 1187)See below for interesting mathematical facts about the number 13982145900800 from the Numbermatics database.
Names of 13982145900800
- Cardinal: 13982145900800 can be written as Thirteen trillion, nine hundred eighty-two billion, one hundred forty-five million, nine hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39821459008 × 1013
Factors of 13982145900800
Divisors of 13982145900800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 50 53 55 56 64 70 77 80 82 88 100 106 110 112 121 128 140 154 160 164 175 176 200 205 212 220 224 242 256 265 275 280 287 308 320 328 350 352 371 385 400 410 424 440 448 451 484 530 550 560 574 583 605 616 640 656 700 704 742 770 800 820 847 848 880 896 902 968 1025 1060 1100 1120 1148 1166 1187 1210 1232 1280 1312 1325 1400 1408 1435 1484 1540 1600 1640 1694 1696 1760 1792 1804 1855 1925 1936 2050 2120 2173 2200 2240 2255 2296 2332 2374 2420 2464 2624 2650 2800 2816 2870 2915 2968 3025 3080 3157 3200 3280 3388 3392 3520 3608 3710 3850 3872 4081 4100 4235 4240 4346 4400 4480 4510 4592 4664 4748 4840 4928 4961 5248 5300 5600 5740 5830 5935 5936 6050 6160 6314 6400 6413 6560 6776 6784 7040 7175 7216 7420 7700 7744 8162 8200 8309 8470 8480 8692 8800 8960 9020 9184 9275 9328 9496 9680 9856 9922 10496 10600 10865 11200 11275 11480 11660 11870 11872 12100 12320 12628 12826 13057 13120 13552 13568 14080 14350 14432 14575 14840 15211 15400 15488 15785 16324 16400 16618 16940 16960 17384 17600 18040 18368 18550 18656 18992 19360 19712 19844 20405 21175 21200 21730 22400 22550 22960 23320 23740 23744 23903 24200 24640 24805 25256 25652 26114 26240 27104 28700 28864 29150 29675 29680 30422 30800 30976 31570 32065 32648 32800 33236 33880 33920 34727 34768 35200 36080 36736 37100 37312 37984 38720 39688 40810 41545 42350 42400 43460 44800 44891 45100 45920 46640 47480 47488 47806 48400 48667 49280 49610 50512 51304 52228 52480 54208 54325 57400 57728 58300 59350 59360 60844 61600 62911 63140 64130 65285 65296 65600 66472 67760 67840 69454 69536 70400 72160 73472 74200 74624 75968 76055 77440 78925 79376 81620 83090 84700 84800 86920 89782 90200 91399 91840 93280 94960 94976 95612 96800 97334 98560 99220 101024 102025 102608 104456 108416 108650 114800 115456 116600 118700 118720 119515 121688 123200 124025 125822 126280 128260 130570 130592 131200 132944 135520 138908 139072 143627 144320 148400 149248 151936 152110 154880 157850 158752 160325 163240 166180 167321 169400 169600 173635 173840 179564 180400 182798 183680 186560 189920 191224 193600 194668 198440 202048 204050 205216 207725 208912 216832 217300 224455 229600 233200 237400 237440 239030 243335 243376 246400 248050 251644 252560 256520 261140 261184 262400 262933 265888 271040 277816 278144 287254 288640 296800 303872 304220 314555 315700 317504 320650 326425 326480 332360 334642 338800 339200 340669 347270 347680 359128 360800 365596 367360 373120 379840 380275 382448 387200 389336 396880 404096 408100 410432 415450 417824 434600 440377 448910 456995 459200 466400 474800 474880 478060 486670 486752 492800 496100 503288 505120 513040 522280 522368 525866 531776 535337 542080 555632 556288 574508 577280 593600 597575 608440 629110 631400 635008 641300 652850 652960 664720 669284 677600 681338 692021 694540 695360 718135 718256 721600 731192 746240 759680 760550 764896 774400 778672 793760 808192 816200 820864 830900 835648 836605 868175 869200 880754 897820 913990 918400 932800 949600 956120 973340 973504 992200 1005389 1006576 1010240 1026080 1044560 1044736 1051732 1063552 1070674 1084160 1111264 1122275 1149016 1187200 1195150 1216675 1216880 1258220 1262800 1270016 1282600 1305700 1305920 1314665 1329440 1338568 1355200 1362676 1384042 1389080 1390720 1436270 1436512 1443200 1462384 1519360 1521100 1529792 1557344 1572775 1587520 1632400 1641728 1661800 1671296 1673210 1703345 1736350 1738400 1761508 1795640 1827980 1836800 1840531 1865600 1899200 1912240 1946680 1947008 1984400 2010778 2013152 2020480 2052160 2089120 2103464 2127104 2141348 2201885 2222528 2244550 2284975 2298032 2374400 2390300 2433350 2433760 2516440 2525600 2565200 2579351 2611400 2611840 2629330 2658880 2676685 2677136 2710400 2725352 2768084 2778160 2781440 2872540 2873024 2886400 2924768 3042200 3059584 3114688 3145550 3175040 3264800 3323600 3342592 3346420 3406690 3460105 3472700 3476800 3523016 3590675 3591280 3655960 3681062 3731200 3747359 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15224462 15297920 15573440 15875200 16086224 16105216 16712960 16732100 16827712 17033450 17130784 17300525 17615080 17956400 18055457 18279800 18384256 18405310 18736795 19122400 19376588 19466800 19470080 20107780 20131520 20204800 20521600 20634808 20891200 21034640 21413480 21417088 21802816 22018850 22144672 22225280 22980320 23398144 23554828 24220735 24337600 25134725 25164400 25793510 26118400 26293300 26588800 26766850 26771360 27253520 27680840 27781600 28184128 28372861 28725400 28730240 29247680 29443535 29448496 29978872 30448924 30595840 31146880 31750400 32172448 33464200 33655424 34066900 34261568 34601050 35230160 35912800 36110914 36559600 36768512 36810620 37473590 38061155 38244800 38753176 38933600 40215560 40263040 41043200 41220949 41269616 41782400 42069280 42826960 42834176 43605632 44037700 44289344 44450560 45960640 46013275 47109656 48441470 48675200 50269450 50328800 51587020 52586600 53177600 53285617 53533700 53542720 54507040 55361680 55563200 56368256 56745722 57450800 57460480 58495360 58887070 58896992 59957744 60897848 62293760 64344896 64483775 66928400 67310848 68133800 68523136 69202100 70460320 71825600 72221828 73119200 73621240 74947180 76122310 76489600 77506352 77867200 80431120 80526080 82441898 82539232 83564800 84138560 85653920 87211264 88075400 88578688 90277285 91921280 92026550 93683975 94219312 96882940 97350400 100538900 100657600 103174040 105173200 106571234 107067400 107085440 109014080 110723360 111126400 112736512 113491444 114901600 116990720 117774140 117793984 119915488 121103675 121795696 128689792 128967550 133856800 136267600 137046272 138404200 140920640 141864305 143651200 144443656 146238400 147217675 147242480 149894360 152244620 152979200 155012704 155734400 160862240 164883796 165078464 168277120 171307840 176150800 177157376 180554570 183842560 184053100 187367950 188438624 190305775 193765880 198610027 201077800 201315200 206104745 206348080 210346400 213142468 214134800 214170880 218028160 221446720 222252800 226982888 229803200 235548280 235587968 239830976 242207350 243591392 257379584 257935100 266428085 267713600 272535200 276808400 281841280 283728610 287302400 288887312 292476800 294435350 294484960 299788720 304489240 310025408 311468800 312101471 321724480 329767592 330156928 336554240 342615680 352301600 361109140 368106200 374735900 376877248 380611550 387531760 397220054 402155600 402630400 412209490 412696160 420692800 426284936 428269600 436056320 442893440 451386425 453965776 459606400 471096560 471175936 479661952 484414700 487182784 515870200 532856170 535427200 545070400 553616800 563682560 567457220 577774624 584953600 588870700 588969920 599577440 608978480 620050816 624202942 643448960 659535184 660313856 685231360 704603200 709321525 722218280 736212400 749471800 753754496 761223100 775063520 794440108 804311200 824418980 825392320 841385600 852569872 856539200 885786880 902772850 907931552 919212800 942193120 959323904 968829400 974365568 993050135 1030523725 1031740400 1065712340 1070854400 1090140800 1107233600 1134914440 1155549248 1177741400 1177939840 1199154880 1217956960 1240101632 1248405884 1286897920 1319070368 1332140425 1409206400 1418643050 1444436560 1472424800 1498943600 1507508992 1522446200 1550127040 1560507355 1588880216 1608622400 1648837960 1650784640 1682771200 1705139744 1713078400 1805545700 1815863104 1884386240 1937658800 1948731136 1986100270 2061047450 2063480800 2131424680 2180281600 2184710297 2214467200 2269828880 2311098496 2355482800 2355879680 2398309760 2435913920 2496811768 2638140736 2664280850 2818412800 2837286100 2888873120 2944849600 2997887200 3044892400 3100254080 3121014710 3177760432 3217244800 3297675920 3301569280 3410279488 3426156800 3611091400 3631726208 3768772480 3875317600 3972200540 4122094900 4126961600 4262849360 4369420594 4428934400 4539657760 4622196992 4710965600 4796619520 4871827840 4965250675 4993623536 5276281472 5328561700 5674572200 5777746240 5889699200 5995774400 6089784800 6200508160 6242029420 6355520864 6434489600 6595351840 6820558976 7222182800 7263452416 7537544960 7750635200 7802536775 7944401080 8244189800 8253923200 8525698720 8738841188 9079315520 9421931200 9743655680 9930501350 9987247072 10552562944 10657123400 10923551485 11349144400 11555492480 11779398400 11991548800 12179569600 12484058840 12711041728 13190703680 13641117952 14444365600 15501270400 15605073550 15888802160 16488379600 16507846400 17051397440 17477682376 18158631040 18843862400 19861002700 19974494144 21314246800 21847102970 22698288800 23110984960 23983097600 24359139200 24968117680 25422083456 26381407360 28888731200 31002540800 31210147100 31777604320 32976759200 34102794880 34955364752 36317262080 37687724800 39722005400 39948988288 42628493600 43694205940 45396577600 48718278400 49936235360 50844166912 52762814720 54617757425 57777462400 62420294200 63555208640 65953518400 68205589760 69910729504 79444010800 79897976576 85256987200 87388411880 90793155200 99872470720 109235514850 115554924800 124840588400 127110417280 131907036800 139821459008 158888021600 170513974400 174776823760 181586310400 199744941440 218471029700 249681176800 254220834560 263814073600 279642918016 317776043200 341027948800 349553647520 399489882880 436942059400 499362353600 559285836032 635552086400 699107295040 873884118800 998724707200 1271104172800 1398214590080 1747768237600 1997449414400 2796429180160 3495536475200 6991072950400 13982145900800
- Sum of all divisors σ(n): 45413368108416
- Sum of proper divisors (its aliquot sum) s(n): 31431222207616
- 13982145900800 is an abundant number, because the sum of its proper divisors (31431222207616) is greater than itself. Its abundance is 17449076306816
Bases of 13982145900800
- Binary: 110010110111011110001101011011110001000000002
- Hexadecimal: 0xCB778D6F100
- Base-36: 4YFB4NSOW
Squares and roots of 13982145900800
- 13982145900800 squared (139821459008002) is 195500403991258243440640000
- 13982145900800 cubed (139821459008003) is 2733515172271115407557753064128512000000
-
The
square root of 13982145900800 is 3739270.7712600863 -
The
cube root of 13982145900800 is 24091.1728264233
Scales and comparisons
How big is 13982145900800?- 13,982,145,900,800 seconds is equal to 444,588 years, 51 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,982,145,900,800 would take you about one million, one hundred eleven thousand, four hundred seventy-two 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 13982145900800 cubic inches would be around 2007.6 feet tall.
Recreational maths with 13982145900800
- 13982145900800 backwards is 00800954128931
- 13982145900800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13982145900800's digits is 50
- More coming soon!
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The information we have on file for 13982145900800 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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