42401590247053125
42,401,590,247,053,125 is an odd composite number composed of five prime numbers multiplied together.
42401590247053125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42401590247053125:
37 × 55 × 113 × 172 × 1272
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 17 × 127 × 127)See below for interesting mathematical facts about the number 42401590247053125 from the Numbermatics database.
Names of 42401590247053125
- Cardinal: 42401590247053125 can be written as Forty-two quadrillion, four hundred one trillion, five hundred ninety billion, two hundred forty-seven million, fifty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2401590247053125 × 1016
Factors of 42401590247053125
Divisors of 42401590247053125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 9 11 15 17 25 27 33 45 51 55 75 81 85 99 121 125 127 135 153 165 187 225 243 255 275 289 297 363 375 381 405 425 459 495 561 605 625 635 675 729 765 825 867 891 935 1089 1125 1143 1215 1275 1331 1375 1377 1397 1445 1485 1683 1815 1875 1905 2025 2057 2125 2159 2187 2295 2475 2601 2673 2805 3025 3125 3175 3179 3267 3375 3429 3645 3825 3993 4125 4131 4191 4335 4455 4675 5049 5445 5625 5715 6075 6171 6375 6477 6655 6875 6885 6985 7225 7425 7803 8019 8415 9075 9375 9525 9537 9801 10125 10285 10287 10625 10795 10935 11475 11979 12375 12393 12573 13005 13365 14025 15125 15147 15367 15875 15895 16129 16335 16875 17145 18225 18513 19125 19431 19965 20625 20655 20955 21675 22275 22627 23375 23409 23749 24057 25245 27225 28125 28575 28611 29403 30375 30855 30861 31875 32385 33275 34375 34425 34925 34969 35937 36125 36703 37125 37179 37719 39015 40095 42075 45375 45441 46101 47625 47685 48387 49005 50625 51425 51435 53125 53975 54675 55539 57375 58293 59895 61875 61965 62865 65025 66825 67881 70125 70227 71247 75625 75735 76835 79375 79475 80645 81675 84375 85725 85833 88209 91125 92565 92583 95625 97155 99825 103125 103275 104775 104907 107811 108375 110109 111375 113135 113157 116875 117045 118745 120285 126225 136125 136323 138303 142875 143055 145161 147015 151875 154275 154305 159375 161925 166375 166617 169037 172125 174625 174845 174879 177419 179685 180625 183515 185625 185895 188595 195075 200475 203643 210375 210681 213741 226875 227205 230505 238125 238425 241935 245025 253125 257125 257175 257499 261239 264627 269875 273375 274193 277695 277749 286875 291465 299475 309375 309825 314325 314721 323433 325125 330327 334125 339405 339471 350625 351135 356235 378125 378675 384175 384659 396875 397375 403225 403733 408375 408969 414909 428625 429165 435483 441045 455625 462825 462915 478125 485775 499125 499851 507111 516375 523875 524535 524637 532257 539055 541875 550545 556875 565675 565785 584375 585225 593725 601425 610929 631125 632043 641223 680625 681615 691515 714375 715275 725805 735075 759375 771375 771525 772497 783717 809625 822579 831875 833085 845185 860625 873125 874225 874395 887095 898425 903125 917575 928125 929475 942975 944163 970299 975375 990981 1002375 1018215 1018413 1051875 1053405 1068705 1134375 1136025 1152525 1153977 1190625 1192125 1209675 1211199 1225125 1244727 1285625 1285875 1287495 1306195 1306449 1323135 1349375 1366875 1370965 1388475 1388745 1434375 1457325 1497375 1499553 1521333 1549125 1571625 1573605 1573911 1596771 1617165 1625625 1651635 1670625 1697025 1697355 1753125 1755675 1781175 1832787 1893375 1920875 1923295 1923669 1951609 1986875 2016125 2018665 2041875 2044845 2074545 2143125 2145825 2177415 2205225 2278125 2314125 2314575 2317491 2351151 2428875 2467737 2495625 2499255 2535555 2581875 2619375 2622675 2623185 2661285 2695275 2709375 2752725 2784375 2828375 2828925 2832489 2873629 2910897 2926125 2968625 2972943 3007125 3016123 3054645 3055239 3155625 3160215 3206115 3403125 3408075 3457575 3461931 3571875 3576375 3629025 3633597 3675375 3734181 3856875 3857625 3862485 3918585 3919347 4048125 4112895 4159375 4165425 4225925 4303125 4365625 4371125 4371975 4435475 4441063 4492125 4498659 4563999 4587875 4647375 4661281 4714875 4720815 4721733 4790313 4851495 4876875 4954905 5011875 5091075 5092065 5259375 5267025 5343525 5498361 5680125 5762625 5769885 5771007 5854827 5960625 6048375 6055995 6125625 6223635 6428125 6429375 6437475 6530975 6532245 6615675 6746875 6834375 6854825 6942375 6943725 6952473 7053453 7286625 7403211 7486875 7497765 7606665 7745625 7858125 7868025 7869555 7983855 8085825 8128125 8258175 8353125 8485125 8486775 8497467 8620887 8778375 8905875 8918829 9048369 9163935 9466875 9604375 9616475 9618345 9758045 9934375 10080625 10093325 10209375 10224225 10372725 10385793 10715625 10729125 10887075 10900791 11026125 11202543 11570625 11572875 11587455 11755755 11758041 12144375 12338685 12478125 12496275 12677775 12909375 13096875 13113375 13115925 13306425 13323189 13476375 13691997 13763625 13983843 14141875 14144625 14162445 14368145 14370939 14554485 14630625 14843125 14864715 15035625 15080615 15273225 15276195 15778125 15801075 16030575 16495083 17040375 17287875 17309655 17313021 17564481 17881875 18145125 18167985 18376875 18670905 19284375 19288125 19312425 19592925 19596735 20240625 20564475 20827125 21129625 21160359 21467699 21855625 21859875 22177375 22205315 22209633 22460625 22493295 22819995 22939375 23236875 23306405 23574375 23604075 23608665 23951565 24257475 24384375 24774525 25059375 25455375 25460325 25492401 25862661 26335125 26717625 26756487 27145107 27491805 28400625 28813125 28849425 28855035 29274135 29803125 30241875 30279975 30628125 31118175 31157379 32146875 32187375 32654875 32661225 32702373 33078375 33177353 33607629 34274125 34711875 34718625 34762365 35267265 35274123 36433125 37016055 37434375 37488825 38033325 38728125 39290625 39340125 39347775 39919275 39969567 40429125 41075991 41290875 41951529 42425625 42433875 42487335 43104435 43112817 43891875 44529375 44594145 45241845 45819675 47334375 48021875 48082375 48091725 48790225 48851693 49485249 50403125 50466625 51121125 51274091 51863625 51928965 51939063 52693443 53645625 54435375 54503955 55130625 56012715 57853125 57864375 57937275 58778775 58790205 60721875 61693425 62481375 63388875 63481077 64403097 65566875 65579625 66532125 66615945 66628899 67381875 68459985 68818125 69919215 70709375 70723125 70812225 71840725 71854695 72772425 73153125 74215625 74323575 75178125 75403075 76366125 76380975 76477203 77587983 79005375 80152875 80269461 81435321 82475415 85201875 86439375 86548275 86565105 87822405 89409375 90725625 90839925 91884375 93354525 93472137 96440625 96562125 97964625 97983675 98107119 99532059 102822375 104135625 105648125 105801795 107338495 109278125 109299375 110886875 111026575 111048165 112303125 112466475 114099975 114696875 116184375 116532025 117871875 118020375 118043325 119757825 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2270998125 2307334095 2333863125 2336803425 2371204935 2414053125 2449115625 2449591875 2452677975 2488301475 2570559375 2645044875 2683462375 2687365593 2775664375 2776204125 2811661875 2820075005 2852499375 2856648465 2898139365 2913300625 2950509375 2951083125 2993945625 2997717525 2998300455 3032184375 3080699325 3096815625 3146364675 3182540625 3186550125 3232832625 3233461275 3237534927 3284557947 3344560875 3393138375 3398073849 3436475625 3491459235 3606178125 3606879375 3659266875 3663876975 3664589445 3784996875 3845556825 3889771875 3894672375 3952008225 3956987133 4082653125 4087796625 4147169125 4153201371 4200953625 4206246165 4268168883 4345295625 4408408125 4409265375 4414820355 4478942655 4627006875 4686103125 4754165625 4761080775 4830232275 4918471875 4989909375 4996195875 4997167425 5076135009 5134498875 5216650857 5243941125 5310916875 5388054375 5389102125 5395891545 5474263245 5574268125 5655230625 5663456415 5727459375 5819098725 6011465625 6098778125 6106461625 6107649075 6185656125 6204165011 6284626623 6409261375 6491120625 6492382875 6586680375 6594978555 6596261001 6812994375 6922002285 7001589375 7010410275 7113614805 7242159375 7347346875 7348775625 7358033925 7464904425 7711678125 7935134625 8050387125 8062096779 8326993125 8328612375 8460225015 8557498125 8694418095 8739901875 8851528125 8980090625 8981836875 8993152575 9096553125 9123772075 9242097975 9290446875 9425384375 9439094025 9547621875 9559650375 9698497875 9700383825 9712604781 9853673841 10033682625 10179415125 10194221547 10309426875 10474377705 10818534375 10820638125 10977800625 10991630925 10993768335 11354990625 11536670475 11669315625 11684017125 11856024675 11870961399 12247959375 12263389875 12441507375 12459604113 13225224375 13417311875 13436827965 13878321875 13881020625 14058309375 14100375025 14262496875 14283242325 14490696825 14566503125 14755415625 14969728125 14988587625 14991502275 15228405027 15403496625 15649952571 15731823375 15932750625 16164163125 16167306375 16187674635 16422789735 16722804375 16965691875 16990369245 17182378125 17457296175 18034396875 18296334375 18319384875 18322947225 18612495033 19227784125 19473361875 19760041125 19784935665 20438983125 20735845625 20766006855 21004768125 21031230825 21340844415 21726478125 22042040625 22046326875 22074101775 22394713275 23135034375 23805403875 24151161375 24186290337 24980979375 24985837125 25380675045 25672494375 26083254285 26219705625 26554584375 26940271875 26945510625 26979457725 27371316225 27871340625 28276153125 28317282075 29095493625 29561021523 30532308125 30538245375 30928280625 31020825055 31423133115 32046306875 32455603125 32461914375 32933401875 32974892775 32981305005 34064971875 34610011425 35007946875 35052051375 35568074025 35612884197 36743878125 36790169625 37324522125 37378812339 39675673125 40251935625 40310483895 41634965625 41643061875 42301125075 42787490625 43472090475 43699509375 44909184375 44965762875 45618860375 45685215081 46210489875 46949857713 47195470125 47798251875 48492489375 48501919125 48563023905 49268369205 50168413125 50897075625 50971107735 51547134375 52371888525 54103190625 54889003125 54958154625 54968841675 55837485099 57683352375 58420085625 59280123375 59354806995 61316949375 62207536875 62298020565 66126121875 67086559375 67184139825 69405103125 70501875125 71416211625 72453484125 72558871011 74942938125 74957511375 76142025135 77017483125 78249762855 78659116875 79663753125 80820815625 80836531875 80938373175 82113948675 83614021875 84828459375 84951846225 87286480875 88683064569 91596924375 91614736125 93062475165 96138920625 97366809375 98800205625 98924678325 102194915625 103679228125 103830034275 105023840625 105156154125 106704222075 106838652591 110231634375 110370508875 111973566375 112136437017 119027019375 120755806875 120931451685 124904896875 124929185625 126903375225 128362471875 130416271425 131098528125 134727553125 134897288625 136856581125 137055645243 141586410375 145477468125 147805107615 152661540625 152691226875 154641403125 155104125275 157115665575 160231534375 162309571875 164667009375 164874463875 164906525025 167512455297 173050057125 175260256875 177840370125 178064420985 183950848125 186622610625 186894061695 198378365625 201259678125 201552419475 208215309375 211505625375 217360452375 224828814375 228094301875 228426075405 231052449375 234749288565 235977350625 238991259375 242462446875 242509595625 242815119525 246341846025 250842065625 254485378125 254855538675 261859442625 266049193707 274790773125 274844208375 279187425495 288416761875 292100428125 296400616875 296774034975 306584746875 311037684375 311490102825 335920699125 352509375625 357081058125 362267420625 362794355055 374714690625 374787556875 380710125675 385087415625 391248814275 393295584375 404182659375 404691865875 410569743375 411166935729 424759231125 436432404375 443415322845 457984621875 458073680625 465312375825 480694603125 494001028125 494623391625 502537365891 519150171375 525780770625 533521110375 534193262955 551852544375 559867831875 560682185085 595135096875 603779034375 604657258425 624645928125 634516876125 652081357125 674486443125 684282905625 685278226215 707932051875 727387340625 739025538075 763456134375 775520626375 785578327875 798147581121 824372319375 824532625125 837562276485 865250285625 876301284375 889201850625 890322104925 919754240625 933113053125 934470308475 1007762097375 1057528126875 1086802261875 1124144071875 1140471509375 1142130377025 1155262246875 1173746442825 1179886753125 1212547978125 1214075597625 1231709230125 1233500807187 1274277693375 1309297213125 1330245968535 1373953865625 1374221041875 1395937127475 1442083809375 1482003084375 1483870174875 1507612097673 1557450514125 1679603495625 1762546878125 1785405290625 1811337103125 1813971775275 1873937784375 1903550628375 1956244071375 2023459329375 2052848716875 2055834678645 2123796155625 2182162021875 2217076614225 2290368403125 2326561879125 2473116958125 2512686829455 2595750856875 2628903853125 2667605551875 2670966314775 2759262721875 2799339159375 2803410925425 3023286292125 3172584380625 3260406785625 3372432215625 3421414528125 3426391131075 3539660259375 3695127690375 3877603131875 3927891639375 3990737905605 4121861596875 4122663125625 4187811382425 4326251428125 4446009253125 4451610524625 4522836293019 4672351542375 5038810486875 5287640634375 5434011309375 5710651885125 5868732214125 6070377988125 6158546150625 6167504035935 6371388466875 6546486065625 6651229842675 6871105209375 6979685637375 7419350874375 7538060488365 7787252570625 8398017478125 9069858876375 9517753141875 9781220356875 10117296646875 10264243584375 10279173393225 10618980778125 11085383071125 11632809395625 12365584790625 12563434147275 12978754284375 13338027759375 13354831573875 13568508879057 14017054627125 15116431460625 15862921903125 16302033928125 17131955655375 18475638451875 19388015659375 19639458196875 19953689528025 20613315628125 20939056912125 22258052623125 22614181465095 23361757711875 25194052434375 28553259425625 29343661070625 30351889940625 30792730753125 30837520179675 31856942334375 33256149213375 34898428186875 37096754371875 37690302441825 38936262853125 45349294381875 47588765709375 48906101784375 51395866966125 55426915355625 58164046978125 62817170736375 66774157869375 67842544395285 70085273135625 75582157303125 85659778276875 92378192259375 99768447640125 104695284560625 111290263115625 113070907325475 116808788559375 142766297128125 146718305353125 154187600898375 166280746066875 174492140934375 188451512209125 226746471909375 256979334830625 277134576778125 314085853681875 333870789346875 339212721976425 350426365678125 428298891384375 498842238200625 523476422803125 565354536627375 770938004491875 831403730334375 942257561045625 1284896674153125 1570429268409375 1696063609882125 2494211191003125 2826772683136875 3854690022459375 4711287805228125 8480318049410625 14133863415684375 42401590247053125
- Sum of all divisors σ(n): 93610796518068480
- Sum of proper divisors (its aliquot sum) s(n): 51209206271015355
- 42401590247053125 is an abundant number, because the sum of its proper divisors (51209206271015355) is greater than itself. Its abundance is 8807616023962230
Bases of 42401590247053125
- Binary: 100101101010010000000101100011001001011001010111010001012
- Hexadecimal: 0x96A4058C965745
- Base-36: BLI3XNCH7B9
Squares and roots of 42401590247053125
- 42401590247053125 squared (424015902470531252) is 1797894855478990689972746572265625
- 42401590247053125 cubed (424015902470531253) is 76233600969304959317549533134785607855010986328125
-
The
square root of 42401590247053125 is 205916464.2447347507 -
The
cube root of 42401590247053125 is 348707.0396592931
Scales and comparisons
How big is 42401590247053125?- 42,401,590,247,053,125 seconds is equal to 1,348,239,413 years, 6 weeks, 3 days, 22 hours, 18 minutes, 45 seconds.
-
To count from 1 to 42,401,590,247,053,125 would take you about four billion, forty-four million, seven hundred eighteen thousand, two hundred thirty-nine 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 42401590247053125 cubic inches would be around 29058.9 feet tall.
Recreational maths with 42401590247053125
- 42401590247053125 backwards is 52135074209510424
- The number of decimal digits it has is: 17
- The sum of 42401590247053125's digits is 54
- More coming soon!
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"Number 42401590247053125 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 42401590247053125 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/42401590247053125/
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Numbermatics. 2024. "Number 42401590247053125 - Facts about the integer". https://numbermatics.com/n/42401590247053125/
The information we have on file for 42401590247053125 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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