42214471372800
42,214,471,372,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42214471372800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1404 divisors.
42214471372800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 42214471372800:
212 × 32 × 52 × 172 × 353 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 353 × 449)See below for interesting mathematical facts about the number 42214471372800 from the Numbermatics database.
Names of 42214471372800
- Cardinal: 42214471372800 can be written as Forty-two trillion, two hundred fourteen billion, four hundred seventy-one million, three hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.22144713728 × 1013
Factors of 42214471372800
Divisors of 42214471372800
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 128 136 144 150 153 160 170 180 192 200 204 225 240 255 256 272 288 289 300 306 320 340 353 360 384 400 408 425 449 450 480 510 512 544 576 578 600 612 640 680 706 720 765 768 800 816 850 867 898 900 960 1020 1024 1059 1088 1152 1156 1200 1224 1275 1280 1347 1360 1412 1440 1445 1530 1536 1600 1632 1700 1734 1765 1796 1800 1920 2040 2048 2118 2176 2245 2304 2312 2400 2448 2550 2560 2601 2694 2720 2824 2880 2890 3060 3072 3177 3200 3264 3400 3468 3530 3592 3600 3825 3840 4041 4080 4096 4236 4335 4352 4490 4608 4624 4800 4896 5100 5120 5202 5295 5388 5440 5648 5760 5780 6001 6120 6144 6354 6400 6528 6735 6800 6936 7060 7184 7200 7225 7633 7650 7680 8082 8160 8472 8670 8704 8825 8980 9216 9248 9600 9792 10200 10240 10404 10590 10776 10880 11225 11296 11520 11560 12002 12240 12288 12708 12800 13005 13056 13470 13600 13872 14120 14368 14400 14450 15266 15300 15360 15885 16164 16320 16944 17340 17408 17650 17960 18003 18432 18496 19200 19584 20205 20400 20480 20808 21180 21552 21675 21760 22450 22592 22899 23040 23120 24004 24480 25416 25600 26010 26112 26475 26940 27200 27744 28240 28736 28800 28900 30005 30532 30600 30720 31770 32328 32640 33675 33888 34680 34816 35300 35920 36006 36864 36992 38165 38400 39168 40410 40800 41616 42360 43104 43350 43520 44900 45184 45798 46080 46240 48008 48960 50832 51200 52020 52224 52950 53880 54009 54400 55488 56480 57472 57600 57800 60010 61064 61200 61440 63540 64656 65025 65280 67350 67776 68697 69360 69632 70600 71840 72012 73984 76330 76800 78336 79425 80820 81600 83232 84720 86208 86700 87040 89800 90015 90368 91596 92160 92480 96016 97920 101025 101664 102017 102400 104040 104448 105900 107760 108018 108800 110976 112960 114495 114944 115200 115600 120020 122128 122400 127080 129312 129761 130050 130560 134700 135552 137394 138720 141200 143680 144024 147968 150025 152660 153600 156672 158497 158850 161640 163200 166464 169440 172416 173400 174080 179600 180030 180736 183192 184320 184960 190825 192032 195840 202050 203328 204034 208080 208896 211800 215520 216036 217600 221952 225920 228990 229888 230400 231200 240040 244256 244800 254160 258624 259522 260100 261120 269400 270045 271104 274788 277440 282400 287360 288048 295936 300050 305320 306051 307200 313344 316994 317700 323280 326400 332928 338880 343485 344832 346800 348160 359200 360060 361472 366384 369920 381650 384064 389283 391680 404100 406656 408068 416160 423600 431040 432072 435200 443904 450075 451840 457980 459776 460800 462400 475491 480080 488512 489600 508320 510085 517248 519044 520200 522240 538800 540090 542208 549576 554880 564800 572475 574720 576096 591872 600100 610640 612102 626688 633988 635400 646560 648805 652800 665856 677760 686970 689664 693600 718400 720120 722944 732768 739840 763300 768128 778566 783360 792485 808200 813312 816136 832320 847200 862080 864144 870400 887808 900150 903680 915960 918153 919552 921600 924800 950982 960160 977024 979200 1016640 1020170 1034496 1038088 1040400 1044480 1077600 1080180 1084416 1099152 1109760 1129600 1144950 1149440 1152192 1167849 1183744 1200200 1221280 1224204 1267976 1270800 1293120 1297610 1305600 1331712 1350225 1355520 1373940 1379328 1387200 1426473 1436800 1440240 1445888 1465536 1479680 1526600 1530255 1536256 1557132 1566720 1584970 1616400 1626624 1632272 1664640 1694400 1717425 1724160 1728288 1740800 1775616 1800300 1807360 1831920 1836306 1839104 1849600 1901964 1920320 1946415 1954048 1958400 2033280 2040340 2068992 2076176 2080800 2155200 2160360 2168832 2198304 2219520 2259200 2289900 2298880 2304384 2335698 2377455 2400400 2442560 2448408 2535952 2541600 2550425 2586240 2595220 2611200 2663424 2694449 2700450 2711040 2747880 2758656 2774400 2852946 2873600 2880480 2931072 2959360 3053200 3060510 3072512 3114264 3133440 3169940 3232800 3244025 3253248 3264544 3329280 3388800 3434850 3448320 3456576 3551232 3600600 3614720 3663840 3672612 3699200 3803928 3840640 3892830 3908096 3916800 3962425 4066560 4080680 4137984 4152352 4161600 4310400 4320720 4337664 4396608 4439040 4518400 4579800 4590765 4597760 4608768 4671396 4754910 4800800 4885120 4896816 5071904 5083200 5100850 5172480 5190440 5222400 5326848 5388898 5400900 5422080 5495760 5517312 5548800 5705892 5747200 5760960 5839245 5862144 5918720 6106400 6121020 6145024 6228528 6339880 6465600 6488050 6506496 6529088 6658560 6777600 6869700 6896640 6913152 7132365 7201200 7229440 7327680 7345224 7398400 7607856 7651275 7681280 7785660 7816192 7833600 7924850 8083347 8133120 8161360 8275968 8304704 8323200 8620800 8641440 8793216 8878080 9036800 9159600 9181530 9195520 9217536 9342792 9509820 9601600 9732075 9770240 9793632 10143808 10166400 10201700 10344960 10380880 10653696 10777796 10801800 10844160 10991520 11097600 11411784 11494400 11521920 11678490 11724288 11887275 12212800 12242040 12290048 12457056 12679760 12931200 12976100 13012992 13058176 13317120 13472245 13555200 13739400 13793280 13826304 14264730 14402400 14655360 14690448 14796800 15215712 15302550 15362560 15571320 15632384 15667200 15849700 16166694 16266240 16322720 16551936 16609408 16646400 17241600 17282880 17586432 17756160 18073600 18319200 18363060 18435072 18685584 19019640 19203200 19464150 19540480 19587264 20287616 20332800 20403400 20689920 20761760 21555592 21603600 21688320 21983040 22195200 22823568 22953825 22988800 23043840 23356980 23448576 23774550 24250041 24425600 24484080 24580096 24914112 25359520 25862400 25952200 26116352 26634240 26944490 27110400 27478800 27586560 27652608 28529460 28804800 29196225 29310720 29380896 29593600 30431424 30605100 30725120 31142640 31264768 31699400 32333388 32532480 32645440 33218816 33292800 34483200 34565760 35172864 35661825 36147200 36638400 36726120 36870144 37371168 38039280 38406400 38928300 39080960 39174528 40416735 40575232 40665600 40806800 41379840 41523520 43111184 43207200 43966080 44390400 45647136 45805633 45907650 45977600 46087680 46713960 46897152 47549100 48500082 48851200 48968160 49828224 50719040 51724800 51904400 52232704 53268480 53888980 54220800 54957600 55305216 57058920 57609600 58392450 58621440 58761792 60862848 61210200 61450240 62285280 63398800 64666776 65064960 65290880 66437632 66585600 67361225 68966400 69131520 70345728 71323650 73276800 73452240 73740288 74742336 76078560 76812800 77856600 78161920 78349056 80833470 81150464 81331200 81613600 82759680 83047040 86222368 86414400 87932160 88780800 91294272 91611266 91815300 92175360 93427920 93794304 95098200 97000164 97702400 97936320 99656448 101438080 103449600 103808800 104465408 107777960 108441600 109915200 110610432 114117840 115219200 116784900 117242880 117523584 121250205 121725696 122420400 122900480 124570560 126797600 129333552 130581760 132875264 133171200 134722450 137416899 137932800 138263040 140691456 142647300 146553600 146904480 149484672 152157120 153625600 155713200 156323840 156698112 161666940 162300928 162662400 163227200 166094080 172444736 172828800 175864320 182588544 183222532 183630600 184350720 186855840 190196400 194000328 195404800 195872640 199312896 202083675 202876160 206899200 207617600 208930816 215555920 219830400 221220864 228235680 229028165 230438400 233569800 234485760 235047168 242500410 243451392 244840800 249141120 253595200 258667104 261163520 265750528 266342400 269444900 274833798 276526080 281382912 285294600 293107200 293808960 298969344 304314240 307251200 311426400 313396224 323333880 324601856 325324800 326454400 332188160 344889472 345657600 351728640 365177088 366445064 367261200 368701440 373711680 380392800 388000656 390809600 391745280 398625792 404167350 405752320 412250697 413798400 415235200 417861632 431111840 439660800 456471360 458056330 460876800 467139600 468971520 470094336 485000820 486902784 489681600 498282240 507190400 517334208 522327040 531501056 538889800 549667596 553052160 570589200 586214400 587617920 597938688 606251025 608628480 614502400 622852800 626792448 646667760 649203712 652908800 664376320 687084495 689778944 691315200 703457280 730354176 732890128 734522400 747423360 760785600 776001312 781619200 783490560 797251584 808334700 811504640 824501394 830470400 862223680 879321600 912942720 916112660 921753600 934279200 940188672 970001640 973805568 979363200 996564480 1014380800 1034668416 1044654080 1077779600 1099335192 1106104320 1141178400 1145140825 1172428800 1175235840 1195877376 1212502050 1217256960 1245705600 1253584896 1293335520 1305817600 1328752640 1374168990 1379557888 1382630400 1406914560 1460708352 1465780256 1469044800 1494846720 1521571200 1552002624 1566981120 1594503168 1616669400 1623009280 1649002788 1660940800 1724447360 1758643200 1825885440 1832225320 1843507200 1868558400 1880377344 1940003280 1947611136 1958726400 1993128960 2028761600 2061253485 2069336832 2089308160 2155559200 2198670384 2282356800 2290281650 2344857600 2350471680 2391754752 2425004100 2434513920 2491411200 2586671040 2611635200 2657505280 2748337980 2759115776 2765260800 2921416704 2931560512 2938089600 2989693440 3043142400 3104005248 3133962240 3233338800 3246018560 3298005576 3321881600 3435422475 3448894720 3517286400 3651770880 3664450640 3737116800 3760754688 3880006560 3917452800 3986257920 4057523200 4122506970 4138673664 4311118400 4397340768 4564713600 4580563300 4700943360 4783509504 4850008200 4869027840 4982822400 5173342080 5223270400 5496675960 5518231552 5530521600 5842833408 5863121024 5876179200 5979386880 6086284800 6208010496 6267924480 6466677600 6596011152 6643763200 6870844950 6897789440 7034572800 7303541760 7328901280 7474233600 7760013120 7834905600 7972515840 8115046400 8245013940 8277347328 8622236800 8794681536 9129427200 9161126600 9401886720 9700016400 9738055680 9965644800 10306267425 10346684160 10446540800 10993351920 11036463104 11726242048 11752358400 11958773760 12172569600 12416020992 12933355200 13192022304 13287526400 13741689900 13795578880 14607083520 14657802560 14948467200 15520026240 15669811200 16230092800 16490027880 16554694656 17244473600 17589363072 18258854400 18322253200 18803773440 19400032800 19931289600 20612534850 20693368320 21986703840 23452484096 23504716800 23917547520 24345139200 24832041984 25866710400 26384044608 27483379800 27591157760 29214167040 29315605120 29896934400 31040052480 31339622400 32980055760 33109389312 34488947200 35178726144 36517708800 36644506400 38800065600 39862579200 41225069700 41386736640 43973407680 46904968192 47009433600 48690278400 49664083968 51733420800 52768089216 54966759600 55182315520 58631210240 59793868800 62080104960 65960111520 68977894400 70357452288 73035417600 73289012800 77600131200 82450139400 82773473280 87946815360 93809936384 94018867200 99328167936 103466841600 105536178432 109933519200 117262420480 119587737600 124160209920 131920223040 137955788800 140714904576 146070835200 146578025600 155200262400 164900278800 165546946560 175893630720 187619872768 206933683200 211072356864 219867038400 234524840960 248320419840 263840446080 275911577600 281429809152 293156051200 310400524800 329800557600 351787261440 413867366400 422144713728 439734076800 469049681920 496640839680 527680892160 562859618304 586312102400 620801049600 659601115200 703574522880 827734732800 844289427456 879468153600 938099363840 1055361784320 1172624204800 1241602099200 1319202230400 1407149045760 1688578854912 1758936307200 2110723568640 2345248409600 2483204198400 2638404460800 2814298091520 3517872614400 4221447137280 4690496819200 5276808921600 7035745228800 8442894274560 10553617843200 14071490457600 21107235686400 42214471372800
- Sum of all divisors σ(n): 161434414662300
- Sum of proper divisors (its aliquot sum) s(n): 119219943289500
- 42214471372800 is an abundant number, because the sum of its proper divisors (119219943289500) is greater than itself. Its abundance is 77005471916700
Bases of 42214471372800
- Binary: 10011001100100110100101001001000010000000000002
- Hexadecimal: 0x2664D2921000
- Base-36: EYP26B5S0
Squares and roots of 42214471372800
- 42214471372800 squared (422144713728002) is 1782061593284950716579840000
- 42214471372800 cubed (422144713728003) is 75228788114293908738118502005604352000000
-
The
square root of 42214471372800 is 6497266.4538865881 -
The
cube root of 42214471372800 is 34819.3333397047
Scales and comparisons
How big is 42214471372800?- 42,214,471,372,800 seconds is equal to 1,342,289 years, 31 weeks, 5 days, 16 hours.
-
To count from 1 to 42,214,471,372,800 would take you about three million, three hundred fifty-five thousand, seven hundred twenty-four 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 42214471372800 cubic inches would be around 2901.6 feet tall.
Recreational maths with 42214471372800
- 42214471372800 backwards is 00827317441224
- 42214471372800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42214471372800's digits is 45
- More coming soon!
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The information we have on file for 42214471372800 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!
Keywords: Divisors of 42214471372800, math, Factors of 42214471372800, curriculum, school, college, exams, university, Prime factorization of 42214471372800, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred fourteen billion, four hundred seventy-one million, three hundred seventy-two thousand, eight hundred.