42381249331200
42,381,249,331,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42381249331200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
42381249331200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42381249331200:
214 × 3 × 52 × 13 × 23 × 31 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 23 × 31 × 61 × 61)See below for interesting mathematical facts about the number 42381249331200 from the Numbermatics database.
Names of 42381249331200
- Cardinal: 42381249331200 can be written as Forty-two trillion, three hundred eighty-one billion, two hundred forty-nine million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.23812493312 × 1013
Factors of 42381249331200
Divisors of 42381249331200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 31 32 39 40 46 48 50 52 60 61 62 64 65 69 75 78 80 92 93 96 100 104 115 120 122 124 128 130 138 150 155 156 160 183 184 186 192 195 200 208 230 240 244 248 256 260 276 299 300 305 310 312 320 325 345 366 368 372 384 390 400 403 416 460 465 480 488 496 512 520 552 575 598 600 610 620 624 640 650 690 713 732 736 744 768 775 780 793 800 806 832 897 915 920 930 960 975 976 992 1024 1040 1104 1150 1196 1200 1209 1220 1240 1248 1280 1300 1380 1403 1426 1464 1472 1488 1495 1525 1536 1550 1560 1586 1600 1612 1664 1725 1794 1830 1840 1860 1891 1920 1950 1952 1984 2015 2048 2080 2139 2208 2300 2325 2379 2392 2400 2418 2440 2480 2496 2560 2600 2760 2806 2852 2928 2944 2976 2990 3050 3072 3100 3120 3172 3200 3224 3328 3450 3565 3588 3660 3680 3720 3721 3782 3840 3900 3904 3965 3968 4030 4096 4160 4209 4278 4416 4485 4575 4600 4650 4758 4784 4800 4836 4880 4960 4992 5120 5200 5520 5612 5673 5704 5856 5888 5952 5980 6045 6100 6144 6200 6240 6344 6400 6448 6656 6900 7015 7130 7176 7320 7360 7440 7442 7475 7564 7680 7800 7808 7930 7936 8060 8192 8320 8418 8556 8832 8970 9150 9200 9269 9300 9455 9516 9568 9600 9672 9760 9920 9984 10075 10240 10400 10695 11040 11163 11224 11346 11408 11712 11776 11895 11904 11960 12090 12200 12288 12400 12480 12688 12800 12896 13312 13800 14030 14260 14352 14640 14720 14880 14884 14950 15128 15360 15600 15616 15860 15872 16120 16384 16640 16836 17112 17664 17825 17940 18239 18300 18400 18538 18600 18605 18910 19032 19136 19200 19344 19520 19825 19840 19968 20150 20480 20800 21045 21390 22080 22326 22425 22448 22692 22816 23424 23552 23790 23808 23920 24180 24400 24576 24583 24800 24960 25376 25600 25792 26624 27600 27807 28060 28365 28520 28704 29280 29440 29760 29768 29900 30225 30256 30720 31200 31232 31720 31744 32240 33280 33672 34224 35075 35328 35650 35880 36478 36600 36800 37076 37200 37210 37820 38064 38272 38400 38688 39040 39650 39680 39936 40300 40960 41600 42090 42780 43493 44160 44652 44850 44896 45384 45632 46345 46848 47104 47275 47580 47616 47840 48360 48373 48800 49152 49166 49600 49920 50752 51200 51584 53248 53475 54717 55200 55614 55815 56120 56730 57040 57408 58560 58880 59475 59520 59536 59800 60450 60512 61440 62400 62464 63440 63488 64480 66560 67344 68448 70150 70656 71300 71760 72956 73200 73600 73749 74152 74400 74420 75640 76128 76544 76800 77376 78080 79300 79360 79872 80600 81920 83200 84180 85560 85583 86986 88320 89304 89700 89792 90768 91195 91264 92690 93025 93696 94208 94550 95160 95232 95680 96720 96746 97600 98332 99200 99840 101504 102400 103168 105225 106496 106950 109434 110400 111228 111630 112240 113460 114080 114816 115351 117120 117760 118950 119040 119072 119600 120900 121024 122880 122915 124800 124928 126880 126976 128960 130479 133120 134688 136896 139035 140300 141312 141825 142600 143520 145119 145912 146400 147200 147498 148304 148800 148840 151280 152256 153088 153600 154752 156160 158600 158720 159744 161200 166400 168360 171120 171166 173972 176640 178608 179400 179584 181536 182390 182528 185380 186050 187392 188416 189100 190320 190464 191360 193440 193492 195200 196664 198400 199680 203008 204800 206336 210450 212992 213900 217465 218868 220800 222456 223260 224480 226920 228160 229632 230702 231725 234240 235520 237900 238080 238144 239200 241800 241865 242048 245760 245830 249600 249856 253760 253952 256749 257920 260958 266240 269376 273585 273792 278070 279075 280600 282624 283650 285200 287040 290238 291824 292800 294400 294996 296608 297600 297680 302560 304512 306176 307200 309504 312320 317200 317440 319488 322400 332800 336720 342240 342332 346053 347944 353280 357216 358800 359168 363072 364780 365056 368745 370760 372100 374784 376832 378200 380640 380928 382720 386880 386984 390400 393328 396800 399360 406016 409600 412672 420900 427800 427915 434930 437736 441600 444912 446520 448960 453840 455975 456320 459264 461404 463450 468480 471040 475800 476160 476288 478400 483600 483730 484096 491660 499200 499712 507520 507904 513498 515840 521916 532480 538752 547170 547584 556140 558150 561200 565248 565409 567300 570400 574080 576755 580476 583648 585600 588800 589992 593216 595200 595360 605120 609024 612352 614400 614575 619008 624640 634400 634880 638976 644800 652395 665600 673440 684480 684664 692106 695175 695888 706560 714432 717600 718336 725595 726144 729560 730112 737490 741520 744200 749568 756400 761280 761856 765440 773760 773968 780800 786656 793600 798720 812032 825344 841800 855600 855830 869860 875472 883200 889824 893040 897920 907680 911950 912640 918528 922808 926900 936960 942080 951600 952320 952576 956800 967200 967460 968192 983320 998400 999424 1015040 1026996 1031680 1043832 1064960 1077504 1087325 1094340 1095168 1112280 1112579 1116300 1122400 1130496 1130818 1134600 1140800 1148160 1153510 1160952 1167296 1171200 1177600 1179984 1186432 1190400 1190720 1209325 1210240 1218048 1224704 1228800 1229150 1238016 1249280 1268800 1269760 1283745 1289600 1304790 1331200 1346880 1367925 1368960 1369328 1384212 1390350 1391776 1413120 1428864 1435200 1436672 1451190 1452288 1459120 1460224 1474980 1483040 1488400 1499136 1499563 1512800 1522560 1523712 1530880 1547520 1547936 1561600 1573312 1587200 1597440 1624064 1650688 1683600 1696227 1711200 1711660 1730265 1739720 1750944 1766400 1779648 1786080 1795840 1815360 1823900 1825280 1837056 1843725 1845616 1853800 1873920 1884160 1903200 1904640 1905152 1913600 1934400 1934920 1936384 1966640 1996800 2030080 2053992 2063360 2087664 2139575 2155008 2174650 2188680 2190336 2224560 2225158 2232600 2244800 2261636 2269200 2281600 2296320 2307020 2321904 2334592 2342400 2355200 2359968 2372864 2380800 2381440 2418650 2420480 2436096 2449408 2458300 2476032 2498560 2537600 2539520 2567490 2579200 2609580 2653073 2662400 2693760 2735850 2737920 2738656 2768424 2780700 2783552 2826240 2827045 2857728 2870400 2873344 2883775 2902380 2904576 2918240 2920448 2949960 2966080 2976800 2998272 2999126 3025600 3045120 3061760 3095040 3095872 3123200 3146624 3174400 3194880 3248128 3261975 3301376 3337737 3367200 3392454 3422400 3423320 3460530 3479440 3501888 3532800 3559296 3572160 3591680 3627975 3630720 3647800 3650560 3674112 3687450 3691232 3707600 3747840 3806400 3809280 3810304 3827200 3868800 3869840 3872768 3933280 3993600 4060160 4107984 4126720 4175328 4279150 4310016 4349300 4377360 4380672 4449120 4450316 4465200 4489600 4498689 4523272 4538400 4563200 4592640 4614040 4643808 4669184 4684800 4710400 4719936 4745728 4761600 4762880 4837300 4840960 4872192 4898816 4916600 4952064 4997120 5075200 5134980 5158400 5219160 5306146 5324800 5387520 5471700 5475840 5477312 5536848 5561400 5562895 5567104 5652480 5654090 5715456 5740800 5746688 5767550 5804760 5809152 5836480 5840896 5899920 5932160 5953600 5998252 6051200 6090240 6123520 6190080 6191744 6246400 6293248 6348800 6418725 6496256 6523950 6602752 6675474 6734400 6784908 6844800 6846640 6921060 6958880 7003776 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14991360 14995630 15225600 15241216 15308800 15475200 15479360 15491072 15733120 15918438 15974400 16240640 16431936 16506880 16688685 16701312 16962270 17116600 17240064 17302650 17397200 17509440 17522688 17796480 17801264 17860800 17958400 17994756 18093088 18153600 18252800 18370560 18456160 18575232 18676736 18739200 18879744 18982912 19046400 19051520 19349200 19363840 19488768 19666400 19808256 20300800 20539920 20633600 20876640 21224584 21550080 21886800 21903360 21909248 22147392 22245600 22251580 22268416 22493445 22616360 22861824 22963200 22986752 23070200 23219040 23236608 23345920 23599680 23728640 23814400 23993008 24204800 24360960 24494080 24760320 24766976 24985600 25172992 25674900 26095800 26530730 26701896 26937600 27139632 27379200 27386560 27684240 27814475 27835520 28015104 28262400 28270450 28474368 28577280 28733440 29023800 29045760 29182400 29204480 29499600 29529856 29660800 29991260 30451200 30482432 30617600 30950400 30958720 30982144 31466240 31836876 32481280 32863872 33013760 33377370 33402624 33924540 34233200 34480128 34489949 34605300 34794400 35018880 35045376 35592960 35602528 35721600 35916800 35989512 36186176 36307200 36505600 36741120 36912320 37150464 37353472 37478400 37489075 37759488 37965824 38092800 38103040 38698400 38727680 38977536 39332800 39796095 40601600 41079840 41267200 41753280 42405675 42449168 43100160 43773600 43806720 43818496 44294784 44491200 44503160 44536832 44986890 45232720 45723648 45926400 46140400 46438080 46473216 46691840 47199360 47457280 47628800 47986016 48409600 48721920 49520640 49533952 50345984 51349800 52191600 53061460 53403792 53875200 54279264 54758400 54773120 55368480 55628950 55671040 56030208 56540900 56948736 57154560 57466880 58047600 58091520 58364800 58408960 58999200 59059712 59321600 59982520 60902400 60964864 61235200 61900800 61917440 62932480 63673752 64962560 65727744 66326825 66754740 66805248 67849080 68466400 68960256 68979898 69210600 69588800 70037760 71185920 71205056 71443200 71833600 71979024 72372352 72614400 73011200 73482240 73824640 74300928 74706944 74956800 74978150 75518976 75931648 76206080 77396800 77455360 78665600 79592190 81203200 82159680 82534400 83443425 83506560 84811350 84898336 86200320 87547200 87613440 87636992 88589568 88982400 89006320 89073664 89973780 90465440 91447296 91852800 92280800 92876160 92946432 93383680 94398720 94914560 95257600 95972032 96819200 97443840 99041280 99067904 100691968 102699600 103469847 104383200 106122920 106807584 107750400 108558528 109516800 109546240 110736960 111257900 111342080 112060416 112467225 113081800 113897472 114309120 114933760 116095200 116183040 116729600 117998400 118119424 118643200 119965040 121804800 122470400 123801600 123834880 125864960 127347504 131455488 132653650 133509480 133610496 135698160 136932800 137959796 138421200 139177600 140075520 142371840 142410112 142886400 143667200 143958048 144744704 145228800 146022400 147649280 148601856 149413888 149956300 151037952 151863296 152412160 154793600 154910720 157331200 159184380 162406400 164319360 165068800 166886850 167013120 169622700 169796672 172400640 172449745 175094400 175226880 175273984 177179136 177964800 178012640 178147328 179947560 180930880 182894592 183705600 184561600 185752320 186767360 188797440 189829120 190515200 191944064 193638400 194887680 198135808 198980475 201383936 205399200 206939694 208766400 212245840 213615168 215500800 217117056 219033600 219092480 221473920 222515800 222684160 224120832 224934450 226163600 227794944 228618240 232190400 232366080 233459200 235996800 236238848 237286400 239930080 243609600 247603200 247669760 251729920 254695008 262910976 265307300 267018960 267220992 271396320 273865600 275919592 276842400 278355200 280151040 284743680 284820224 285772800 287334400 287916096 289489408 290457600 292044800 295298560 297203712 298827776 299912600 302075904 304824320 309587200 314662400 318368760 324812800 328638720 333773700 334026240 339245400 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795921900 821596800 827758776 835065600 848983360 854460672 862003200 862248725 868468224 876134400 876369920 885895680 890063200 890736640 896483328 899737800 904654400 914472960 928761600 933836800 943987200 944955392 949145600 959720320 974438400 990679040 1006919680 1018780032 1034698470 1051643904 1061229200 1068075840 1068883968 1085585280 1095462400 1103678368 1107369600 1113420800 1120604160 1138974720 1139280896 1143091200 1151664384 1157957632 1161830400 1181194240 1188814848 1199650400 1208303616 1238348800 1258649600 1273475040 1314554880 1335094800 1336104960 1356981600 1358373376 1379597960 1400755200 1402191872 1417433088 1423718400 1424101120 1439580480 1447447040 1476492800 1486018560 1494138880 1510379520 1524121600 1535552512 1591843800 1643193600 1655517552 1670131200 1697966720 1708921344 1724006400 1724497450 1736936448 1752739840 1771791360 1780126400 1781473280 1799475600 1809308800 1857523200 1867673600 1887974400 1889910784 1898291200 1919440640 1981358080 2013839360 2037560064 2069396940 2103287808 2122458400 2136151680 2137767936 2171170560 2190924800 2207356736 2214739200 2226841600 2241208320 2277949440 2278561792 2286182400 2303328768 2315915264 2323660800 2362388480 2377629696 2399300800 2476697600 2517299200 2546950080 2586746175 2629109760 2670189600 2672209920 2713963200 2716746752 2759195920 2801510400 2834866176 2847436800 2848202240 2879160960 2894894080 2952985600 2972037120 3020759040 3071105024 3183687600 3286387200 3311035104 3340262400 3395933440 3417842688 3448994900 3473872896 3505479680 3543582720 3560252800 3562946560 3598951200 3618617600 3715046400 3735347200 3775948800 3796582400 3838881280 3962716160 4075120128 4138793880 4206575616 4244916800 4272303360 4342341120 4381849600 4414713472 4429478400 4453683200 4482416640 4557123584 4572364800 4606657536 4631830528 4724776960 4798601600 4953395200 5034598400 5093900160 5173492350 5258219520 5340379200 5344419840 5427926400 5433493504 5518391840 5603020800 5669732352 5694873600 5696404480 5758321920 5789788160 5905971200 5944074240 6041518080 6142210048 6367375200 6572774400 6622070208 6680524800 6791866880 6835685376 6897989800 6947745792 7010959360 7087165440 7120505600 7197902400 7237235200 7430092800 7470694400 7551897600 7677762560 8150240256 8277587760 8489833600 8544606720 8684682240 8763699200 8829426944 8858956800 8907366400 9114247168 9213315072 9263661056 9449553920 9597203200 9906790400 10069196800 10187800320 10346984700 10516439040 10680758400 10688839680 10855852800 10866987008 11036783680 11206041600 11389747200 11392808960 11516643840 11579576320 11811942400 11888148480 12284420096 12734750400 13145548800 13244140416 13361049600 13583733760 13671370752 13795979600 13895491584 14174330880 14241011200 14395804800 14474470400 14860185600 15103795200 15355525120 16300480512 16555175520 16979667200 17089213440 17369364480 17527398400 17658853888 17717913600 17814732800 18228494336 18426630144 19194406400 19813580800 20375600640 20693969400 21032878080 21361516800 21711705600 21733974016 22073567360 22412083200 22785617920 23033287680 23159152640 23623884800 24568840192 25469500800 26291097600 26488280832 26722099200 27167467520 27342741504 27591959200 27790983168 28348661760 28482022400 28791609600 28948940800 29720371200 30207590400 30711050240 32600961024 33110351040 33959334400 34178426880 34738728960 35054796800 35317707776 35435827200 36853260288 38388812800 40751201280 41387938800 42723033600 43423411200 43467948032 44147134720 45571235840 46066575360 46318305280 47247769600 50939001600 52582195200 52976561664 53444198400 54334935040 54685483008 55183918400 56964044800 57583219200 57897881600 59440742400 61422100480 65201922048 66220702080 67918668800 68356853760 69477457920 70635415552 70871654400 73706520576 76777625600 81502402560 82775877600 85446067200 86846822400 88294269440 91142471680 92133150720 101878003200 105164390400 105953123328 108669870080 110367836800 113928089600 115166438400 115795763200 122844200960 130403844096 132441404160 135837337600 136713707520 138954915840 141270831104 141743308800 153555251200 163004805120 165551755200 170892134400 173693644800 176588538880 184266301440 203756006400 211906246656 217339740160 220735673600 227856179200 230332876800 231591526400 264882808320 271674675200 273427415040 282541662208 307110502400 326009610240 331103510400 341784268800 347387289600 353177077760 368532602880 407512012800 423812493312 441471347200 455712358400 460665753600 529765616640 543349350400 565083324416 614221004800 652019220480 662207020800 683568537600 694774579200 706354155520 815024025600 847624986624 882942694400 921331507200 1059531233280 1086698700800 1324414041600 1367137075200 1412708311040 1630048051200 1695249973248 1765885388800 1842663014400 2119062466560 2648828083200 2825416622080 3260096102400 3531770777600 4238124933120 5297656166400 7063541555200 8476249866240 10595312332800 14127083110400 21190624665600 42381249331200
- Sum of all divisors σ(n): 165266170288128
- Sum of proper divisors (its aliquot sum) s(n): 122884920956928
- 42381249331200 is an abundant number, because the sum of its proper divisors (122884920956928) is greater than itself. Its abundance is 80503671625728
Bases of 42381249331200
- Binary: 10011010001011101001110100111111000000000000002
- Hexadecimal: 0x268BA74FC000
- Base-36: F0TODLM2O
Squares and roots of 42381249331200
- 42381249331200 squared (423812493312002) is 1796170294873340447293440000
- 42381249331200 cubed (423812493312003) is 76123941108322066620565012850147328000000
-
The
square root of 42381249331200 is 6510088.2736872317 -
The
cube root of 42381249331200 is 34865.1270091573
Scales and comparisons
How big is 42381249331200?- 42,381,249,331,200 seconds is equal to 1,347,592 years, 33 weeks, 2 hours, 40 minutes.
-
To count from 1 to 42,381,249,331,200 would take you about three million, three hundred sixty-eight thousand, nine hundred eighty-one 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 42381249331200 cubic inches would be around 2905.4 feet tall.
Recreational maths with 42381249331200
- 42381249331200 backwards is 00213394218324
- The number of decimal digits it has is: 14
- The sum of 42381249331200's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 42381249331200 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42381249331200 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42381249331200/
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The information we have on file for 42381249331200 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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