138085635214800
138,085,635,214,800 is an even composite number composed of eight prime numbers multiplied together.
138085635214800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138085635214800:
24 × 32 × 52 × 7 × 13 × 17 × 1031 × 24049
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 17 × 1031 × 24049)See below for interesting mathematical facts about the number 138085635214800 from the Numbermatics database.
Names of 138085635214800
- Cardinal: 138085635214800 can be written as One hundred thirty-eight trillion, eighty-five billion, six hundred thirty-five million, two hundred fourteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380856352148 × 1014
Factors of 138085635214800
Divisors of 138085635214800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 28 30 34 35 36 39 40 42 45 48 50 51 52 56 60 63 65 68 70 72 75 78 80 84 85 90 91 100 102 104 105 112 117 119 120 126 130 136 140 144 150 153 156 168 170 175 180 182 195 200 204 208 210 221 225 234 238 240 252 255 260 272 273 280 300 306 312 315 325 336 340 350 357 360 364 390 400 408 420 425 442 450 455 468 476 504 510 520 525 546 560 585 595 600 612 624 630 650 663 680 700 714 720 728 765 780 816 819 840 850 884 900 910 936 952 975 1008 1020 1031 1040 1050 1071 1092 1105 1170 1190 1200 1224 1260 1275 1300 1326 1360 1365 1400 1428 1456 1530 1547 1560 1575 1638 1680 1700 1768 1785 1800 1820 1872 1904 1950 1989 2040 2062 2100 2142 2184 2210 2275 2340 2380 2448 2520 2550 2600 2652 2730 2800 2856 2925 2975 3060 3093 3094 3120 3150 3276 3315 3400 3536 3570 3600 3640 3825 3900 3978 4080 4095 4124 4200 4284 4368 4420 4550 4641 4680 4760 5040 5100 5155 5200 5304 5355 5460 5525 5712 5850 5950 6120 6186 6188 6300 6552 6630 6800 6825 7140 7217 7280 7650 7735 7800 7956 8190 8248 8400 8568 8840 8925 9100 9279 9282 9360 9520 9945 10200 10310 10608 10710 10920 11050 11700 11900 12240 12372 12376 12600 13104 13260 13403 13650 13923 14280 14434 15300 15465 15470 15600 15912 16380 16496 16575 17136 17527 17680 17850 18200 18558 18564 19890 20400 20475 20620 21420 21651 21840 22100 23205 23400 23800 24049 24744 24752 25200 25775 26520 26775 26806 27300 27846 28560 28868 30600 30930 30940 31824 32760 33150 35054 35700 36085 36400 37116 37128 38675 39780 40209 40950 41240 42840 43302 44200 46395 46410 46800 47600 48098 49488 49725 51550 52581 53040 53550 53612 54600 55692 57736 61200 61860 61880 64953 65520 66300 67015 69615 70108 71400 72147 72170 74232 74256 77325 77350 79560 80418 81900 82480 85680 86604 87635 88400 92790 92820 93821 96196 99450 103100 105162 107100 107224 108255 109200 111384 115472 116025 120245 120627 122689 123720 123760 129906 132600 134030 139230 140216 142800 144294 144340 148464 154650 154700 157743 159120 160836 163800 168343 173208 175270 180425 185580 185640 187642 192392 198900 201045 206200 210324 214200 214448 216441 216510 222768 227851 231975 232050 240490 241254 245378 247440 259812 262905 265200 268060 278460 280432 281463 288588 288680 309300 309400 312637 315486 321672 324765 327600 335075 336686 346416 348075 350540 360735 360850 368067 371160 371280 375284 384784 397800 402090 408833 412400 420648 428400 432882 433020 438175 455702 463950 464100 469105 480980 482508 490756 505029 519624 525810 536120 541275 556920 562926 577176 577360 601225 603135 613445 618600 618800 625274 630972 643344 649530 670150 673372 683553 696150 701080 721470 721700 736134 742320 750568 788715 795600 804180 817666 841296 841715 844389 865764 866040 876350 911404 927900 928200 937911 938210 961960 965016 981512 1005225 1010058 1039248 1051620 1072240 1082205 1082550 1104201 1113840 1125852 1139255 1154352 1202450 1206270 1226499 1226890 1237200 1250548 1261944 1299060 1314525 1340300 1346744 1367106 1392300 1402160 1407315 1442940 1443400 1472268 1501136 1515087 1563185 1577430 1594957 1608360 1623825 1635332 1683430 1688778 1731528 1732080 1752700 1803675 1822808 1840335 1855800 1856400 1875822 1876420 1923920 1930032 1963024 2010450 2020116 2044165 2050659 2103240 2164410 2165100 2188459 2208402 2251704 2278510 2345525 2404900 2412540 2452998 2453780 2501096 2523888 2525145 2598120 2629050 2680600 2693488 2734212 2784600 2813733 2814630 2861831 2885880 2886800 2944536 3015675 3030174 3067225 3126370 3154860 3189914 3216720 3247650 3270664 3366860 3377556 3417765 3463056 3505400 3607350 3645616 3679497 3680670 3711600 3751644 3752840 3943575 4020900 4040232 4088330 4101318 4206480 4208575 4221945 4328820 4330200 4376918 4416804 4503408 4557020 4689555 4691050 4784871 4809800 4825080 4905996 4907560 5002192 5050290 5196240 5258100 5314829 5361200 5411025 5468424 5521005 5569200 5627466 5629260 5696275 5723662 5771760 5889072 6031350 6060348 6132495 6134450 6252740 6309720 6379828 6495300 6541328 6565377 6733720 6755112 6835530 7010800 7036575 7214700 7358994 7361340 7503288 7505680 7575435 7815925 7887150 7974785 8041800 8080464 8176660 8202636 8417150 8443890 8585493 8657640 8660400 8753836 8833608 9114040 9201675 9379110 9382100 9569742 9619600 9650160 9811992 9815120 10100580 10220825 10253295 10516200 10629658 10822050 10936848 10942295 11042010 11254932 11258520 11392550 11447324 12062700 12120696 12264990 12268900 12505480 12619440 12625725 12759656 12990600 13130754 13467440 13510224 13671060 14068665 14073150 14309155 14354613 14429400 14717988 14722680 15006576 15150870 15631850 15774300 15944487 15949570 16083600 16353320 16405272 16834300 16887780 17088825 17170986 17315280 17507672 17667216 18228080 18397485 18403350 18758220 18764200 19139484 19623984 19696131 20201160 20441650 20506590 21032400 21109725 21259316 21644100 21884590 22084020 22509864 22517040 22785100 22894648 23447775 23924355 24125400 24241392 24529980 24537800 24794519 25010960 25251450 25519312 25756479 25981200 26261508 26574145 27342120 27605025 28137330 28146300 28618310 28709226 28858800 29435976 29445360 30301740 30662475 31263700 31548600 31888974 31899140 32706640 32810544 32826885 33668600 33775560 34177650 34341972 35015344 36794970 36806700 37203803 37516440 37528400 37877175 38278968 39392262 39873925 40402320 40883300 41013180 42219450 42518632 42927465 43288200 43769180 44168040 45019728 45570200 45789296 46895550 47833461 47848710 48250800 49059960 49075600 49589038 50502900 51266475 51512958 52523016 53148290 54684240 54711475 55210050 56274660 56292600 57236620 57418452 58871952 60603480 61324950 62527400 63097200 63777948 63798280 65653770 67337200 67551120 68355300 68683944 70343325 71545775 71773065 73589940 73613400 74383557 74407606 75032880 75754350 76557936 78784524 79722435 79747850 81766600 82026360 84438900 85037264 85854930 86576400 87538360 88336080 91140400 91987425 93791100 95666922 95697420 98119920 98480655 99178076 101005800 102532950 103025916 105046032 106296580 109422950 110420100 111611409 112549320 112585200 114473240 114836904 119621775 121206960 122649900 123972595 125054800 127555896 127596560 128782395 131307540 132870725 136710600 137367888 140686650 143091550 143546130 147179880 147226800 148767114 148815212 151508700 157569048 159444870 159495700 163533200 164052720 164134425 168877800 171709860 173561633 175076720 183974850 186019015 187582200 191333844 191394840 196961310 198356152 202011600 205065900 206051832 212593160 214637325 218845900 220840200 223150671 223222818 225098640 228946480 229673808 239167305 239243550 245299800 247945190 255111792 257564790 262615080 265741450 273421200 281373300 286183100 287092260 294359760 297534228 297630424 303017400 315138096 318889740 318991400 322328747 328268850 334834227 337755600 343419720 347123266 358865325 367949700 371917785 372038030 375164400 382667688 382789680 393922620 396712304 398612175 410131800 412103664 421506823 425186320 429274650 437691800 441680400 446301342 446445636 478334610 478487100 490599600 492403275 495890380 515129580 520684899 525230160 531482900 558057045 562746600 572366200 574184520 595068456 595260848 606034800 619862975 637779480 637982800 643911975 644657494 656537700 669668454 686839440 694246532 717730650 735899400 743835570 744076060 765335376 787845240 797224350 820263600 843013646 858549300 867808165 875383600 892602684 892891272 930095075 956669220 956974200 966986241 984806550 991780760 1030259160 1041369798 1062965800 1115753355 1116114090 1125493200 1144732400 1148369040 1190136912 1195836525 1239725950 1264520469 1275558960 1287823950 1289314988 1313075400 1339336908 1388493064 1435461300 1471798800 1487671140 1488152120 1562054697 1575690480 1594448700 1611643735 1674171135 1686027292 1717098600 1735616330 1785205368 1785782544 1859588925 1860190150 1913338440 1913948400 1933972482 1969613100 1983561520 2060518320 2082739596 2107534115 2125931600 2231506710 2232228180 2256301229 2391673050 2479451900 2529040938 2575647900 2578629976 2603424495 2626150800 2678673816 2776986128 2790285225 2870922600 2900958723 2950547761 2975342280 2976304240 3124109394 3188897400 3223287470 3348342270 3372054584 3434197200 3471232660 3570410736 3719177850 3720380300 3793561407 3826676880 3867944964 3939226200 4165479192 4215068230 4339040825 4463013420 4464456360 4512602458 4783346100 4834931205 4958903800 5058081876 5151295800 5157259952 5206848990 5357347632 5479588699 5578766775 5580570450 5741845200 5801917446 5901095522 5950684560 6248218788 6322602345 6377794800 6446574940 6696684540 6744109168 6768903687 6942465320 7438355700 7440760600 7587122814 7735889928 7810273485 7878452400 8058218675 8330958384 8370855675 8430136460 8678081650 8851643283 8926026840 8928912720 9025204916 9566692200 9669862410 9917807600 10116163752 10302591600 10413697980 10537670575 10959177398 11157533550 11161140900 11281506145 11603834892 11802191044 12496437576 12645204690 12893149880 13017122475 13393369080 13537807374 13884930640 14504793615 14752738805 14876711400 14881521200 15174245628 15471779856 15620546970 16116437350 16438766097 16741711350 16860272920 17356163300 17703286566 17852053680 18050409832 18967807035 19133384400 19339724820 20232327504 20306711061 20827395960 21075341150 21918354796 22315067100 22322281800 22563012290 23207669784 23604382088 24174656025 24992875152 25290409380 25786299760 26034244950 26554929849 26786738160 27075614748 27397943495 29009587230 29505477610 29753422800 30348491256 31241093940 31613011725 32232874700 32877532194 33483422700 33720545840 33844518435 34712326600 35406573132 36100819664 37935614070 38357120893 38679449640 39051367425 40613422122 41654791920 42150682300 43836709592 44258216415 44630134200 44644563600 45126024580 46415339568 47208764176 48349312050 49316298291 50580818760 52068489900 53109859698 54151229496 54795886990 56407530725 58019174460 59010955220 60696982512 62482187880 63226023450 64465749400 65755064388 66966845400 67689036870 69424653200 70813146264 72523968075 73763694025 75871228140 76714241786 77358899280 78102734850 81226844244 82193830485 84301364600 87673419184 88516432830 89260268400 90252049160 94839035175 96698624100 98632596582 101161637520 101533555305 104136979800 106219719396 108302458992 109591773980 112815061450 115071362679 116038348920 118021910440 124964375760 126452046900 128931498800 131510128776 132774649245 133933690800 135378073740 136989717475 141626292528 145047936150 147527388050 151742456280 153428483572 156205469700 162453688488 164387660970 168602729200 169222592175 177032865660 180504098320 189678070350 191785604465 193397248200 197265193164 203067110610 208273959600 212439438792 219183547960 221291082075 225630122900 230142725358 232076697840 236043820880 246581491455 252904093800 263020257552 265549298490 270756147480 273979434950 290095872300 295054776100 303484912560 306856967144 312410939400 324907376976 328775321940 338445184350 345214088037 354065731320 379356140700 383571208930 386794496400 394530386328 406134221220 410969152425 424878877584 438367095920 442582164150 451260245800 460285450716 493162982910 505808187600 507667776525 531098596980 541512294960 547958869900 575356813395 580191744600 590109552200 613713934288 624821878800 657550643880 663873246225 676890368700 690428176074 708131462640 758712281400 767142417860 789060772656 812268442440 821938304850 885164328300 902520491600 920570901432 958928022325 986325965820 1015335553050 1062197193960 1095917739800 1150713626790 1160383489200 1180219104400 1232907457275 1315101287760 1327746492450 1353780737400 1380856352148 1517424562800 1534284835720 1624536884880 1643876609700 1726070440185 1770328656600 1841141802864 1917856044650 1972651931640 2030671106100 2124394387920 2191835479600 2301427253580 2465814914550 2655492984900 2707561474800 2761712704296 2876784066975 3068569671440 3287753219400 3452140880370 3540657313200 3835712089300 3945303863280 4061342212200 4602854507160 4931629829100 5310985969800 5523425408592 5753568133950 6575506438800 6904281760740 7671424178600 8122684424400 8630352200925 9205709014320 9863259658200 10621971939600 11507136267900 13808563521480 15342848357200 17260704401850 19726519316400 23014272535800 27617127042960 34521408803700 46028545071600 69042817607400 138085635214800
- Sum of all divisors σ(n): 625103665804800
- Sum of proper divisors (its aliquot sum) s(n): 487018030590000
- 138085635214800 is an abundant number, because the sum of its proper divisors (487018030590000) is greater than itself. Its abundance is 348932395375200
Bases of 138085635214800
- Binary: 111110110010110100100010011110001001101110100002
- Hexadecimal: 0x7D96913C4DD0
- Base-36: 1CY3NXXW40
Squares and roots of 138085635214800
- 138085635214800 squared (1380856352148002) is 19067642652674813842139040000
- 138085635214800 cubed (1380856352148003) is 2632967547743415759693109109981865792000000
-
The
square root of 138085635214800 is 11750984.4359866293 -
The
cube root of 138085635214800 is 51687.1795103057
Scales and comparisons
How big is 138085635214800?- 138,085,635,214,800 seconds is equal to 4,390,696 years, 3 weeks, 5 days, 13 hours.
-
To count from 1 to 138,085,635,214,800 would take you about ten million, nine hundred seventy-six thousand, seven hundred forty 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 138085635214800 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138085635214800
- 138085635214800 backwards is 008412536580831
- The number of decimal digits it has is: 15
- The sum of 138085635214800's digits is 54
- More coming soon!
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The information we have on file for 138085635214800 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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