4136142205072800

Names of 4136142205072800

• Cardinal: 4136142205072800 can be written as Four quadrillion, one hundred thirty-six trillion, one hundred forty-two billion, two hundred five million, seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.1361422050728 × 10¹⁵

Factors of 4136142205072800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 12858

Divisors of 4136142205072800

• Number of divisors d(n): 1296
• 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 45 48 50 52 60 65 72 75 78 80 90 96 100 103 104 117 120 130 144 150 156 160 169 180 195 200 206 208 225 234 240 260 288 300 309 312 325 338 360 390 400 412 416 450 468 480 507 515 520 585 600 618 624 650 676 720 780 800 824 845 900 927 936 975 1014 1030 1040 1170 1200 1236 1248 1300 1339 1352 1440 1521 1545 1560 1648 1690 1800 1854 1872 1950 2028 2060 2080 2340 2400 2472 2535 2575 2600 2678 2704 2925 3042 3090 3120 3296 3380 3600 3623 3708 3744 3900 4017 4056 4120 4225 4635 4680 4944 5070 5150 5200 5356 5408 5850 6084 6180 6240 6695 6760 7200 7246 7416 7605 7725 7800 8034 8112 8240 8450 9109 9270 9360 9888 10140 10300 10400 10712 10869 11700 12051 12168 12360 12675 13390 13520 14492 14832 15210 15450 15600 16068 16224 16480 16900 17407 18115 18218 18540 18720 20085 20280 20600 21424 21738 23175 23400 24102 24336 24720 25350 26780 27040 27327 28984 29664 30420 30900 31200 32136 32607 33475 33800 34814 36230 36436 37080 38025 40170 40560 41200 42848 43476 45545 46350 46800 47099 48204 48672 49440 50700 52221 53560 54345 54654 57968 60255 60840 61800 64272 65214 66950 67600 69628 72460 72872 74160 76050 80340 81120 81981 82400 86952 87035 90575 91090 92700 93600 94198 96408 100425 101400 104442 107120 108690 109308 115936 118417 120510 121680 123600 128544 130428 133900 135200 136635 139256 141297 144920 145744 148320 152100 156663 160680 163035 163962 173904 174070 181150 182180 185400 188396 192816 200850 202800 208884 214240 217380 218616 227725 235495 236834 241020 243360 247200 260856 261105 267800 271725 273270 278512 282594 289840 291488 301275 304200 313326 321360 326070 327924 347808 348140 355251 362300 364360 370800 373169 376792 385632 401700 405600 409905 417768 423891 434760 435175 437232 455450 470990 473668 482040 521712 522210 535600 543450 546540 557024 565188 579680 592085 602550 608400 612287 626652 642720 652140 655848 683175 696280 706485 710502 724600 728720 741600 746338 753584 783315 803400 815175 819810 835536 847782 869520 870350 874464 910900 938227 941980 947336 964080 1043424 1044420 1065753 1071200 1086900 1093080 1119507 1130376 1177475 1184170 1205100 1216800 1224574 1253304 1304280 1305525 1311696 1366350 1392560 1412970 1421004 1449200 1457440 1492676 1507168 1539421 1566630 1606800 1630350 1639620 1671072 1695564 1739040 1740700 1776255 1821800 1836861 1865845 1876454 1883960 1894672 1928160 2049525 2088840 2119455 2131506 2173800 2186160 2239014 2260752 2354950 2368340 2410200 2449148 2506608 2608560 2611050 2623392 2732700 2785120 2814681 2825940 2842008 2898400 2960425 2985352 3061435 3078842 3133260 3213600 3260700 3279240 3358521 3391128 3481400 3532425 3552510 3643600 3673722 3731690 3752908 3767920 3789344 3916575 4099050 4177680 4238910 4263012 4347600 4372320 4478028 4521504 4618263 4691135 4709900 4736680 4820400 4851197 4898296 5013216 5217120 5222100 5328765 5465400 5510583 5597535 5629362 5651880 5684016 5920850 5970704 6122870 6157684 6266520 6521400 6558480 6717042 6782256 6962800 7064850 7105020 7287200 7347444 7463380 7505816 7535840 7697105 7833150 8198100 8355360 8444043 8477820 8526024 8695200 8881275 8956056 9184305 9236526 9329225 9382270 9419800 9473360 9640800 9702394 9796592 10444200 10597275 10657530 10930800 11021166 11195070 11258724 11303760 11368032 11841700 11941408 12196951 12245740 12315368 12533040 13042800 13116960 13434084 13564512 13854789 13925600 14073405 14129700 14210040 14553591 14694888 14926760 15011632 15307175 15394210 15666300 16396200 16792605 16888086 16955640 17052048 17762550 17912112 18368610 18473052 18658450 18764540 18839600 18946720 19404788 19593184 20888400 21194550 21315060 21861600 22042332 22390140 22517448 22607520 23091315 23455675 23683400 24255985 24393902 24491480 24630736 25066080 26085600 26643825 26868168 27552915 27709578 27987675 28146810 28259400 28420080 29107182 29389776 29853520 30023264 30614350 30788420 31332600 32792400 33001907 33585210 33776172 33911280 34104096 35525100 35824224 36590853 36737220 36946104 37316900 37529080 37679200 38485525 38809576 41776800 42220215 42389100 42630120 43660773 44084664 44780280 45034896 45921525 46182630 46911350 47366800 48511970 48787804 48982960 49261472 53287650 53736336 55105830 55419156 55975350 56293620 56518800 56840160 58214364 58779552 59707040 60984755 61228700 61576840 62665200 63065561 65584800 66003814 67170420 67552344 67822560 69273945 70367025 71050200 72767955 73181706 73474440 73892208 74633800 75058160 76971050 77619152 83963025 84440430 84778200 85260240 87321546 88169328 89560560 90069792 91843050 92365260 93822700 94733600 97023940 97575608 97965920 99005721 106575300 107472672 109772559 110211660 110838312 111950700 112587240 113037600 115456575 116428728 121279925 121969510 122457400 123153680 125330400 126131122 132007628 134340840 135104688 137764575 138547890 140734050 142100400 145535910 146363412 146948880 147784416 149267600 150116320 153942100 155238304 158560363 165009535 167926050 168880860 169556400 170520480 174643092 176338656 179121120 182954265 183686100 184730520 187645400 189196683 194047880 195151216 198011442 211101075 213150600 218303865 219545118 220423320 221676624 223901400 225174480 230913150 232857456 242559850 243939020 244914800 246307360 252262244 264015256 268681680 270209376 275529150 277095780 281468100 284200800 291071820 292726824 293897760 297017163 298535200 304923775 307884200 315327805 317120726 330019070 335852100 337761720 339112800 346369725 349286184 363839775 365908530 367372200 369461040 375290800 378393366 388095760 390302432 396022884 422202150 426301200 429024791 436607730 439090236 440846640 443353248 447802800 450348960 461826300 465714912 475681089 485119700 487878040 489829600 495028605 504524488 528030512 537363360 548862795 551058300 554191560 562936200 567590049 582143640 585453648 594034326 609847550 615768400 630655610 634241452 660038140 671704200 675523440 692739450 698572368 727679550 731817060 734744400 738922080 750581600 756786732 776191520 792045768 792801815 825047675 844404300 852602400 858049582 873215460 878180472 881693280 895605600 914771325 923652600 945983415 951362178 970239400 975756080 990057210 1009048976 1056061024 1091519325 1097725590 1102116600 1108383120 1125872400 1135180098 1164287280 1170907296 1188068652 1219695100 1231536800 1261311220 1268482904 1287074373 1320076280 1343408400 1351046880 1385478900 1397144736 1427043267 1455359100 1463634120 1469488800 1485085815 1513573464 1576639025 1584091536 1585603630 1650095350 1688808600 1716099164 1746430920 1756360944 1829542650 1847305200 1891966830 1902724356 1940478800 1951512160 1980114420 2018097952 2145123955 2183038650 2195451180 2204233200 2216766240 2251744800 2270360196 2328574560 2376137304 2378405445 2439390200 2475143025 2522622440 2536965808 2574148746 2640152560 2686816800 2744313975 2770957800 2837950245 2854086534 2910718200 2927268240 2970171630 3027146928 3153278050 3168183072 3171207260 3300190700 3377617200 3399196421 3432198328 3492861840 3512721888 3659085300 3694610400 3783933660 3805448712 3861223119 3880957600 3960228840 3964009075 4290247910 4366077300 4390902360 4408466400 4540720392 4729917075 4752274608 4756810890 4878780400 4950286050 5045244880 5073931616 5148297492 5280305120 5488627950 5541915600 5577322283 5675900490 5708173068 5821436400 5854536480 5940343260 6054293856 6306556100 6342414520 6435371865 6600381400 6755234400 6798392842 6864396656 6985723680 7135216335 7318170600 7425429075 7567867320 7610897424 7722446238 7920457680 7928018150 8580495820 8732154600 8781804720 9081440784 9459834150 9504549216 9513621780 9757560800 9900572100 10090489760 10197589263 10296594984 10725619775 10977255900 11083831200 11154644566 11351800980 11416346136 11642872800 11880686520 11892027225 12613112200 12684829040 12870743730 13200762800 13596785684 13728793312 14189751225 14270432670 14636341200 14850858150 15135734640 15221794848 15444892476 15840915360 15856036300 16731966849 16995982105 17160991640 17464309200 17563609440 18162881568 18919668300 19027243560 19306115595 19801144200 20395178526 20593189968 21451239550 21954511800 22309289132 22703601960 22832692272 23761373040 23784054450 25226224400 25369658080 25741487460 26401525600 27193571368 27886611415 28379502450 28540865340 29272682400 29701716300 30271469280 30592767789 30889784952 31712072600 32176859325 33463933698 33991964210 34321983280 34928618400 35676081675 37839336600 38054487120 38612231190 39602288400 40790357052 41186379936 42902479100 43909023600 44189553473 44618578264 45407203920 45665384544 47522746080 47568108900 50195900547 50452448800 50987946315 51482974920 54387142736 55773222830 56759004900 57081730680 59403432600 61185535578 61779569904 63424145200 64353718650 66927867396 67983928420 68643966560 71352163350 75678673200 76108974240 77224462380 79204576800 81580714104 83659834245 84979910525 85804958200 87818047200 88379106946 89237156528 90814407840 95136217800 96530577975 100391801094 101975892630 102965949840 108774285472 111546445660 113518009800 114163461360 118806865200 122371071156 123559139808 126848290400 128707437300 132568660419 133855734792 135967856840 139433057075 142704326700 151357346400 152963838945 154448924760 163161428208 167319668490 169959821050 171609916400 176758213892 178474313056 190272435600 193061155950 200783602188 203951785260 205931899680 220947767365 223092891320 227036019600 228326922720 237613730400 244742142312 250979502735 254939731575 257414874600 265137320838 267711469584 271935713680 278866114150 285408653400 305927677890 308897849520 326322856416 334639336980 339919642100 343219832800 353516427784 380544871200 386122311900 397705981257 401567204376 407903570520 418299171225 441895534730 446185782640 454072039200 489484284624 501959005470 509879463150 514829749200 530274641676 535422939168 543871427360 557732228300 570817306800 574464195149 611855355780 617795699040 662843302095 669278673960 679839284200 707032855568 764819194725 772244623800 795411962514 803134408752 815807141040 836598342450 883791069460 892371565280 978968569248 1003918010940 1019758926300 1029659498400 1060549283352 1104738836825 1115464456600 1141634613600 1148928390298 1223710711560 1254897513675 1325686604190 1338557347920 1359678568400 1414065711136 1529638389450 1544489247600 1590823925028 1606268817504 1631614282080 1673196684900 1723392585447 1767582138920 1988529906285 2007836021880 2039517852600 2121098566704 2209477673650 2230928913200 2297856780596 2447421423120 2509795027350 2651373208380 2677114695840 2719357136800 2872320975745 3059276778900 3088978495200 3181647850056 3314216510475 3346393369800 3446785170894 3535164277840 3977059812570 4015672043760 4079035705200 4242197133408 4418955347300 4461857826400 4595713561192 4894842846240 5019590054700 5170177756341 5302746416760 5744641951490 6118553557800 6363295700112 6628433020950 6692786739600 6893570341788 7070328555680 7954119625140 8031344087520 8158071410400 8616962927235 8837910694600 9191427122384 9942649531425 10039180109400 10340355512682 10605492833520 11489283902980 12237107115600 12726591400224 13256866041900 13385573479200 13787140683576 14361604878725 15908239250280 17233925854470 17675821389200 18382854244768 19885299062850 20078360218800 20680711025364 21210985667040 22978567805960 24474214231200 25850888781705 26513732083800 27574281367152 28723209757450 31816478500560 34467851708940 35351642778400 39770598125700 40156720437600 41361422050728 43084814636175 45957135611920 51701777563410 53027464167600 55148562734304 57446419514900 63632957001120 68935703417880 79541196251400 82722844101456 86169629272350 91914271223840 103403555126820 106054928335200 114892839029800 129254443908525 137871406835760 159082392502800 165445688202912 172339258544700 206807110253640 229785678059600 258508887817050 275742813671520 318164785005600 344678517089400 413614220507280 459571356119200 517017775634100 689357034178800 827228441014560 1034035551268200 1378714068357600 2068071102536400 4136142205072800
• Sum of all divisors σ(n): 15952787882478720
• Sum of proper divisors (its aliquot sum) s(n): 11816645677405920
• 4136142205072800 is an abundant number, because the sum of its proper divisors (11816645677405920) is greater than itself. Its abundance is 7680503472333120

Bases of 4136142205072800

• Binary: 1110101100011100110010100110110111111011010110100000₂
• Hexadecimal: 0xEB1CCA6DFB5A0
• Base-36: 14Q51HWVFS0

Squares and roots of 4136142205072800

• 4136142205072800 squared (4136142205072800²) is 17107672340584484330053299840000
• 4136142205072800 cubed (4136142205072800³) is 70759765598448058552089153826971627428352000000
• The square root of 4136142205072800 is 64312846.3456003477
• The cube root of 4136142205072800 is 160520.9867009689

Scales and comparisons

• 4,136,142,205,072,800 seconds is equal to 131,516,528 years, 10 weeks, 10 hours.
• To count from 1 to 4,136,142,205,072,800 would take you about three hundred ninety-four million, five hundred forty-nine thousand, five hundred eighty-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 4136142205072800 cubic inches would be around 13376.7 feet tall.

Recreational maths with 4136142205072800

• 4136142205072800 backwards is 0082705022416314
• 4136142205072800 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4136142205072800's digits is 45
• More coming soon!