42135923566504800
42,135,923,566,504,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42135923566504800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
42135923566504800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42135923566504800:
25 × 35 × 52 × 1132 × 2573
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 113 × 113 × 257 × 257 × 257)See below for interesting mathematical facts about the number 42135923566504800 from the Numbermatics database.
Names of 42135923566504800
- Cardinal: 42135923566504800 can be written as Forty-two quadrillion, one hundred thirty-five trillion, nine hundred twenty-three billion, five hundred sixty-six million, five hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21359235665048 × 1016
Factors of 42135923566504800
Divisors of 42135923566504800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 113 120 135 144 150 160 162 180 200 216 225 226 240 243 257 270 288 300 324 339 360 400 405 432 450 452 480 486 514 540 565 600 648 675 678 720 771 800 810 864 900 904 972 1017 1028 1080 1130 1200 1215 1285 1296 1350 1356 1440 1542 1620 1695 1800 1808 1944 2025 2034 2056 2160 2260 2313 2400 2430 2570 2592 2700 2712 2825 3051 3084 3240 3390 3600 3616 3855 3888 4050 4068 4112 4320 4520 4626 4860 5085 5140 5400 5424 5650 6075 6102 6168 6425 6480 6780 6939 7200 7710 7776 8100 8136 8224 8475 9040 9153 9252 9720 10170 10280 10800 10848 11300 11565 12150 12204 12336 12769 12850 12960 13560 13878 15255 15420 16200 16272 16950 18080 18306 18504 19275 19440 20340 20560 20817 21600 22600 23130 24300 24408 24672 25425 25538 25700 27120 27459 27756 29041 30510 30840 32400 32544 33900 34695 36612 37008 38307 38550 38880 40680 41120 41634 45200 45765 46260 48600 48816 50850 51076 51400 54240 54918 55512 57825 58082 61020 61680 62451 63845 64800 66049 67800 69390 73224 74016 76275 76614 77100 81360 83268 87123 90400 91530 92520 97200 97632 101700 102152 102800 104085 109836 111024 114921 115650 116164 122040 123360 124902 127690 132098 135600 137295 138780 145205 146448 152550 153228 154200 162720 166536 173475 174246 183060 185040 191535 194400 198147 203400 204304 205600 208170 219672 222048 228825 229842 231300 232328 244080 249804 255380 261369 264196 271200 274590 277560 290410 292896 305100 306456 308400 312255 319225 330245 333072 344763 346950 348492 366120 370080 383070 396294 406800 408608 416340 435615 439344 457650 459684 462600 464656 488160 499608 510760 520425 522738 528392 549180 555120 574605 580820 594441 610200 612912 616800 624510 638450 660490 666144 686475 689526 693900 696984 726025 732240 766140 784107 792588 813600 832680 871230 878688 915300 919368 925200 929312 957675 990735 999216 1021520 1034289 1040850 1045476 1056784 1098360 1110240 1149210 1161640 1188882 1220400 1225824 1249020 1276900 1306845 1320980 1372950 1379052 1387800 1393968 1452050 1464480 1532280 1561275 1568214 1585176 1651225 1665360 1723815 1742460 1783323 1830600 1838736 1850400 1915350 1981470 1998432 2043040 2068578 2081700 2090952 2113568 2178075 2196720 2298420 2323280 2352321 2377764 2440800 2498040 2553800 2613690 2641960 2745900 2758104 2775600 2787936 2873025 2904100 2972205 3064560 3102867 3122550 3136428 3170352 3281633 3302450 3330720 3447630 3484920 3566646 3661200 3677472 3830700 3920535 3962940 4137156 4163400 4181904 4356150 4393440 4596840 4646560 4704642 4755528 4953675 4996080 5107600 5171445 5227380 5283920 5349969 5491800 5516208 5551200 5746050 5808200 5944410 6129120 6205734 6245100 6272856 6340704 6534225 6563266 6604900 6895260 6969840 7056963 7133292 7322400 7463537 7661400 7841070 7925880 8274312 8326800 8363808 8619075 8712300 8916615 9193680 9409284 9511056 9844899 9907350 9992160 10215200 10342890 10454760 10567840 10699938 10983600 11032416 11492100 11616400 11761605 11888820 12411468 12490200 12545712 13068450 13126532 13209800 13790520 13939680 14113926 14266584 14861025 14927074 15322800 15514335 15682140 15851760 16049907 16408165 16548624 16653600 16974593 17238150 17424600 17833230 18387360 18818568 19022112 19602675 19689798 19814700 20685780 20909520 21399876 21967200 22390611 22984200 23232800 23523210 23777640 24822936 24980400 25091424 25857225 26136900 26253064 26419600 26749845 27581040 28227852 28533168 29534697 29722050 29854148 30645600 31028670 31364280 31703520 32099814 32816330 33097248 33949186 34476300 34849200 35284815 35666460 37317685 37637136 39205350 39379596 39629400 41371560 41819040 42799752 44583075 44781222 45968400 47046420 47555280 49224495 49645872 49960800 50923779 51714450 52273800 52506128 52839200 53499690 55162080 56455704 57066336 58808025 59069394 59444100 59708296 62057340 62728560 64199628 65632660 67171833 67898372 68952600 69698400 70569630 71332920 74635370 75274272 77571675 78410700 78759192 79258800 80249535 82040825 82743120 84872965 85599504 88604091 89166150 89562444 91936800 94092840 95110560 98448990 99291744 101847558 103428900 104547600 105012256 106999380 111953055 112911408 117616050 118138788 118888200 119416592 124114680 125457120 128399256 131265320 133749225 134343666 135796744 137905200 141139260 142665840 147673485 149270740 152771337 155143350 156821400 157518384 158517600 160499070 164081650 165486240 169745930 171199008 176424075 177208182 178332300 179124888 186588425 188185680 196897980 201515499 203695116 206857800 209095200 213998760 223906110 225822816 235232100 236277576 237776400 238833184 246122475 248229360 254618895 256798512 262530640 265812273 267498450 268687332 271593488 275810400 282278520 285331680 295346970 298541480 305542674 310286700 313642800 315036768 320998140 328163300 335859165 339491860 352848150 354416364 356664600 358249776 373176850 376371360 393795960 401247675 403030998 407390232 413715600 424364825 427997520 443020455 447812220 458314011 470464200 472555152 475552800 492244950 496458720 509237790 513597024 525061280 531624546 534996900 537374664 543186976 559765275 564557040 590693940 597082960 604546497 611085348 620573400 627285600 641996280 656326600 671718330 678983720 705696300 708832728 713329200 716499552 738367425 746353700 763856685 787591920 797436819 802495350 806061996 814780464 827431200 843379681 848729650 855995040 886040910 895624440 916628022 940928400 945110304 984489900 1007577495 1018475580 1063249092 1069993800 1074749328 1119530550 1129114080 1181387880 1194165920 1209092994 1222170696 1241146800 1273094475 1283992560 1312653200 1329061365 1343436660 1357967440 1374942033 1411392600 1417665456 1426658400 1476734850 1492707400 1527713370 1575183840 1594873638 1604990700 1612123992 1629560928 1679295825 1686759362 1697459300 1772081820 1791248880 1813639491 1833256044 1881856800 1918129009 1968979800 2015154990 2036951160 2126498184 2139987600 2149498656 2215102275 2239061100 2291570055 2362775760 2418185988 2444341392 2482293600 2530139043 2546188950 2567985120 2625306400 2658122730 2686873320 2715934880 2749884066 2822785200 2835330912 2953469700 2985414800 3022732485 3055426740 3189747276 3209981400 3224247984 3358591650 3373518724 3394918600 3544163640 3582497760 3627278982 3666512088 3819283425 3836258018 3937959600 3987184095 4030309980 4073902320 4124826099 4216898405 4252996368 4279975200 4430204550 4478122200 4583140110 4725551520 4836371976 4888682784 5037887475 5060278086 5092377900 5316245460 5373746640 5499768132 5645570400 5754387027 5906939400 5970829600 6045464970 6110853480 6379494552 6419962800 6448495968 6645306825 6717183300 6747037448 6789837200 6874710165 7088327280 7254557964 7333024176 7590417129 7638566850 7672516036 7875919200 7974368190 8060619960 8147804640 8249652198 8433796810 8505992736 8860409100 8956244400 9068197455 9166280220 9590645045 9672743952 10075774950 10120556172 10184755800 10632490920 10747493280 10999536264 11457850275 11508774054 11813878800 12090929940 12221706960 12650695215 12758989104 12839925600 13290613650 13434366600 13494074896 13579674400 13749420330 14176654560 14509115928 14666048352 15113662425 15180834258 15277133700 15345032072 15948736380 16121239920 16499304396 16867593620 17263161081 17720818200 17912488800 18136394910 18332560440 19181290090 19345487904 19935920475 20151549900 20241112344 20369511600 20624130495 21084492025 21264981840 21999072528 22771251387 22915700550 23017548108 23627757600 24181859880 24443413920 25301390430 25517978208 26581227300 26868733200 26988149792 27498840660 28771935135 29018231856 30227324850 30361668516 30554267400 30690064144 31897472760 32242479840 32998608792 33735187240 34373550825 34526322162 35441636400 36272789820 36665120880 37952085645 38362580180 39871840950 40303099800 40482224688 40739023200 41248260990 42168984050 42529963680 43998145056 45340987275 45542502774 45831401100 46035096216 47953225225 48363719760 50602780860 51789483243 53162454600 53737466400 54997681320 57543870270 58036463712 60454649700 60723337032 61108534800 61380128288 63253476075 63794945520 65997217584 67470374480 68313754161 68747101650 69052644324 70883272800 72545579640 73330241760 75904171290 76725160360 79743681900 80606199600 80964449376 82496521980 84337968100 86315805405 90681974550 91085005548 91662802200 92070192432 95906450450 96727439520 101205561720 103120652475 103578966486 106324909200 109995362640 113856256935 115087740540 120909299400 121446674064 122217069600 126506952150 127589891040 131994435168 134940748960 136627508322 137494203300 138105288648 143859675675 145091159280 151808342580 153450320720 155368449729 159487363800 161212399200 164993043960 168675936200 172631610810 181363949100 182170011096 183325604400 184140384864 189760428225 191812900900 202411123440 204941262483 206241304950 207157932972 212649818400 216748578017 219990725280 227712513870 230175481080 241818598800 242893348128 253013904300 258947416215 273255016644 274988406600 276210577296 287719351350 290182318560 303616685160 306900641440 310736899458 318974727600 329986087920 337351872400 341568770805 345263221620 362727898200 364340022192 366651208800 379520856450 383625801800 404822246880 409882524966 412482609900 414315865944 431579027025 433497156034 455425027740 460350962160 466105349187 483637197600 506027808600 517894832430 546510033288 549976813200 552421154592 569281284675 575438702700 607233370320 621473798916 637949455200 650245734051 659972175840 674703744800 683137541610 690526443240 725455796400 728680044384 759041712900 767251603600 776842248645 819765049932 824965219800 828631731888 863158054050 866994312068 910850055480 920701924320 932210698374 1012055617200 1024706312415 1035789664860 1083742890085 1093020066576 1099953626400 1138562569350 1150877405400 1214466740640 1242947597832 1294737081075 1300491468102 1366275083220 1381052886480 1450911592800 1518083425800 1534503207200 1553684497290 1639530099864 1649930439600 1657263463776 1707843854025 1726316108100 1733988624136 1821700110960 1864421396748 1950737202153 2024111234400 2049412624830 2071579329720 2167485780170 2186040133152 2277125138700 2301754810800 2330526745935 2485895195664 2589474162150 2600982936204 2732550166440 2762105772960 3036166851600 3107368994580 3251228670255 3279060199728 3299860879200 3415687708050 3452632216200 3467977248272 3643400221920 3728842793496 3884211243225 3901474404306 4098825249660 4143158659440 4334971560340 4554250277400 4603509621600 4661053491870 4971790391328 5123531562075 5178948324300 5201965872408 5418714450425 5465100332880 5852211606459 6072333703200 6214737989160 6502457340510 6558120399456 6831375416100 6905264432400 6935954496544 7457685586992 7768422486450 7802948808612 8197650499320 8286317318880 8669943120680 9108500554800 9322106983740 9753686010765 10247063124150 10357896648600 10403931744816 10837428900850 10930200665760 11652633729675 11704423212918 12429475978320 13004914681020 13662750832200 13810528864800 14915371173984 15536844972900 15605897617224 16256143351275 16395300998640 17339886241360 17556634819377 18217001109600 18644213967480 19507372021530 20494126248300 20715793297200 20807863489632 21674857801700 23305267459350 23408846425836 24858951956640 26009829362040 27325501664400 29261058032295 31073689945800 31211795234448 32512286702550 32790601997280 34679772482720 35113269638754 37288427934960 39014744043060 40988252496600 41431586594400 43349715603400 46610534918700 46817692851672 48768430053825 52019658724080 52669904458131 54651003328800 58522116064590 62147379891600 62423590468896 65024573405100 70226539277508 74576855869920 78029488086120 81976504993200 86699431206800 87783174096885 93221069837400 93635385703344 97536860107650 104039317448160 105339808916262 117044232129180 124294759783200 130049146810200 140453078555016 146305290161475 156058976172240 163953009986400 173398862413600 175566348193770 186442139674800 187270771406688 195073720215300 210679617832524 234088464258360 260098293620400 263349522290655 280906157110032 292610580322950 312117952344480 351132696387540 372884279349600 390147440430600 421359235665048 438915870484425 468176928516720 520196587240800 526699044581310 561812314220064 585221160645900 702265392775080 780294880861200 842718471330096 877831740968850 936353857033440 1053398089162620 1170442321291800 1316747611453275 1404530785550160 1560589761722400 1685436942660192 1755663481937700 2106796178325240 2340884642583600 2633495222906550 2809061571100320 3511326963875400 4213592356650480 4681769285167200 5266990445813100 7022653927750800 8427184713300960 10533980891626200 14045307855501600 21067961783252400 42135923566504800
- Sum of all divisors σ(n): 156067747256912400
- Sum of proper divisors (its aliquot sum) s(n): 113931823690407600
- 42135923566504800 is an abundant number, because the sum of its proper divisors (113931823690407600) is greater than itself. Its abundance is 71795900123902800
Bases of 42135923566504800
- Binary: 100101011011001001100110001101000111011011101011011000002
- Hexadecimal: 0x95B2663476EB60
- Base-36: BIVXS266U00
Squares and roots of 42135923566504800
- 42135923566504800 squared (421359235665048002) is 1775436054802334584788488423040000
- 42135923566504800 cubed (421359235665048003) is 74809637902367997423470312968290542316590592000000
-
The
square root of 42135923566504800 is 205270366.9955914509 -
The
cube root of 42135923566504800 is 347977.2400187913
Scales and comparisons
How big is 42135923566504800?- 42,135,923,566,504,800 seconds is equal to 1,339,792,034 years, 23 weeks, 1 day, 6 hours.
-
To count from 1 to 42,135,923,566,504,800 would take you about four billion, nineteen million, three hundred seventy-six thousand, one hundred three 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 42135923566504800 cubic inches would be around 28998.1 feet tall.
Recreational maths with 42135923566504800
- 42135923566504800 backwards is 00840566532953124
- The number of decimal digits it has is: 17
- The sum of 42135923566504800's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42135923566504800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 42135923566504800 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/42135923566504800/
Chicago style:
Numbermatics. 2024. "Number 42135923566504800 - Facts about the integer". https://numbermatics.com/n/42135923566504800/
The information we have on file for 42135923566504800 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 42135923566504800, math, Factors of 42135923566504800, curriculum, school, college, exams, university, Prime factorization of 42135923566504800, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-five trillion, nine hundred twenty-three billion, five hundred sixty-six million, five hundred four thousand, eight hundred.