42409903120960375
42,409,903,120,960,375 is an odd composite number composed of six prime numbers multiplied together.
42409903120960375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42409903120960375:
53 × 73 × 112 × 132 × 53 × 973
(5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 53 × 97 × 97 × 97)See below for interesting mathematical facts about the number 42409903120960375 from the Numbermatics database.
Names of 42409903120960375
- Cardinal: 42409903120960375 can be written as Forty-two quadrillion, four hundred nine trillion, nine hundred three billion, one hundred twenty million, nine hundred sixty thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 4.2409903120960375 × 1016
Factors of 42409903120960375
Divisors of 42409903120960375
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 5 7 11 13 25 35 49 53 55 65 77 91 97 121 125 143 169 175 245 265 275 325 343 371 385 455 485 539 583 605 637 679 689 715 845 847 875 1001 1067 1183 1225 1261 1325 1375 1573 1625 1715 1855 1859 1925 2275 2425 2597 2695 2915 3025 3185 3395 3445 3575 3773 4081 4225 4235 4459 4753 4823 5005 5141 5335 5915 5929 6125 6305 6413 6625 7007 7469 7579 7865 8281 8575 8827 8957 9275 9295 9409 9625 11011 11375 11737 12125 12985 13013 13475 13871 14575 15125 15925 16393 16975 17225 17875 18179 18865 20405 20449 21125 21175 22295 23765 24115 25025 25705 26675 28567 29575 29645 31525 32065 33271 33761 35035 35987 37345 37895 39325 41405 41503 42875 44135 44785 44891 46375 46475 47045 49049 52283 53053 55055 56551 57967 58685 61789 62699 64925 65065 65863 66833 67375 69355 72875 77077 79625 81965 82159 83369 84875 86125 90895 91091 94325 97097 98527 102025 102245 103499 105875 111475 114751 118825 120575 122317 125125 128525 133375 142835 143143 147875 148225 152581 157625 160325 166355 168805 175175 179935 180323 186725 189475 196625 199969 207025 207515 220675 223925 224455 232375 235225 236327 245245 251909 261415 265265 275275 282755 289835 293425 308945 313495 314237 324625 325325 329315 334165 346775 365981 371371 385385 395857 409825 410795 416845 432523 438893 454475 455455 461041 467831 471625 485485 492635 498677 510125 511225 517495 539539 557375 573755 575113 583583 594125 602875 611585 622061 637637 642625 679679 689689 714175 715715 724493 735163 741125 762905 801625 803257 831775 844025 856219 868829 875875 899675 901615 912673 933625 947375 999845 1002001 1035125 1037575 1068067 1083797 1103375 1119625 1122275 1138489 1176125 1181635 1226225 1259545 1262261 1307075 1326325 1345487 1376375 1413775 1449175 1467125 1544725 1567475 1571185 1590121 1626625 1646575 1670825 1733875 1763363 1829905 1856855 1926925 1979285 1983553 2049125 2053975 2084225 2162615 2194465 2199659 2272375 2277275 2305205 2339155 2427425 2463175 2493385 2556125 2587475 2599597 2697695 2770999 2868775 2875565 2917915 3057925 3072251 3110305 3188185 3227287 3274817 3398395 3448445 3490739 3570875 3578575 3622465 3675815 3814525 4016285 4025791 4085081 4158875 4220125 4281095 4344145 4354427 4498375 4508075 4563365 4757753 4827823 4999225 5010005 5071451 5146141 5187875 5340335 5418985 5485447 5611375 5622799 5692445 5908175 5993533 6081803 6131125 6297725 6311305 6388711 6482801 6535375 6631625 6727435 7014007 7068875 7245875 7476469 7586579 7723625 7837375 7855925 7950605 7969423 8086793 8232875 8354125 8816815 8835827 9149525 9284275 9418409 9557119 9634625 9896425 9917765 10039403 10269875 10421125 10813075 10972325 10998295 11130847 11386375 11526025 11695775 11864749 12137125 12315875 12466925 12937375 12997985 13488475 13854995 13884871 14343875 14377825 14589575 14800357 15289625 15361255 15551525 15940925 16136435 16374085 16991975 17242225 17453695 17491331 17892875 18112325 18379075 19072625 19396993 20081425 20128955 20425405 21405475 21720725 21772135 22540375 22816825 22923719 23788765 24139115 24435173 24996125 25050025 25357255 25730705 26701675 27094925 27427235 28113995 28462225 28595567 29540875 29967665 30409015 30480989 31488625 31556525 31943555 32414005 33637175 33794761 35070035 35500157 36022987 37382345 37932895 38398129 39279625 39753025 39847115 40433965 41954731 42572621 44084075 44179135 44720977 45379607 45747625 46421375 47092045 47785595 48371669 49482125 49588825 50197015 52335283 53106053 54065375 54861625 54991475 55654235 55785961 56607551 57630125 58478875 59323745 60339917 61850789 62334625 64989925 65928863 66899833 67442375 69274975 69424355 70275821 71310811 71889125 72947875 74001785 76806275 77757625 77915929 79704625 80682175 81870425 83053243 84276413 84959875 86211125 87268475 87456655 90561625 91895375 96984965 97194097 100407125 100644775 102127025 103602499 105128309 107027375 108603625 108860675 110433433 114084125 114618595 118943825 120695575 122175865 122439317 125250125 126786275 128653525 130512239 133508375 135474625 137136175 140569975 142311125 142977835 149838325 152045075 152404945 154241737 157782625 159717775 162070025 168185875 168973805 171046211 175350175 177500785 180114935 186911725 189664475 191990645 192404641 198765125 199235575 202169825 209773655 212863105 213366923 220420375 220895675 223604885 226898035 235460225 238927975 241858345 247944125 250985075 252160909 261676415 265530265 268786903 274957375 278271175 278929805 283037755 296618725 298008347 301699585 309253945 313046839 317657249 324949625 329644315 334499165 338601683 346374875 347121775 351379105 356554055 370008925 371742371 384031375 389579645 390501727 396252857 403410875 409352125 415266215 421382065 422379419 436342375 437283275 461502041 468298831 484924825 485970485 491930747 499175677 503223875 510635125 518012495 525641545 532088359 544303375 545411503 552167165 573092975 581372701 589934891 594719125 603477875 610879325 612196585 628831697 633931375 643267625 652561195 680358679 685680875 702849875 714889175 725217493 735898163 749191625 760225375 762024725 771208685 773034031 784418921 798588875 810350125 844869025 855231055 857075219 876750875 887503925 900574675 913585673 927040543 934558625 948322375 959953225 962023205 996177875 1010849125 1048868275 1064315525 1066834615 1079692159 1104478375 1118024425 1134490175 1177301125 1194639875 1209291725 1254925375 1260804545 1308382075 1327651325 1343934515 1346832487 1391355875 1394649025 1415188775 1435634629 1483093625 1490041735 1508497925 1546269725 1565234195 1588286245 1648221575 1672495825 1693008415 1696659107 1735608875 1756895525 1782770275 1850044625 1858711855 1881508321 1947898225 1952508635 1981264285 2076331075 2106910325 2111897095 2186416375 2223600743 2307510205 2341494155 2370211781 2424624125 2429852425 2459653735 2495878385 2590062475 2628207725 2660441795 2727057515 2760835825 2773769999 2865464875 2906863505 2949674455 2956655933 3054396625 3060982925 3144158485 3262805975 3278091817 3401793395 3443515229 3494229739 3574445875 3626087465 3679490815 3724618513 3810123625 3856043425 3865170155 3922094605 4069608907 4129544237 4224345125 4276155275 4285376095 4401821879 4437519625 4502873375 4567928365 4635202715 4799766125 4810116025 5076522451 5151287141 5244341375 5321577625 5334173075 5398460795 5411238217 5490932447 5590122125 5672450875 5852971949 5999526533 6046458625 6304022725 6395099711 6489283801 6541910375 6638256625 6719672575 6734162435 6917148667 6973245125 7075943875 7178173145 7450208675 7542489625 7557845113 7731348625 7826170975 7941431225 8174812061 8241107875 8362479125 8465042075 8483295535 8784477625 8913851375 9293559275 9407541605 9427827409 9739491125 9762543175 9906321425 10049442403 10197445973 10381655375 10534551625 10559485475 11118003715 11537551025 11707470775 11851058905 11876613749 12149262125 12298268675 12479391925 12950312375 13141038625 13302208975 13635287575 13804179125 13868849995 14534317525 14748372275 14783279665 15304914625 15720792425 16314029875 16390459085 16591482467 17008966975 17217576145 17471148695 18130437325 18397454075 18623092565 18663250177 19280217125 19325850775 19610473025 20348044535 20647721185 20696591531 21380776375 21426880475 22009109395 22839641825 23176013575 24050580125 24459608173 25382612255 25756435705 26072329591 26670865375 26992303975 27056191085 27454662235 28906809659 29264859745 29997632665 30812753153 31520113625 31975498555 32446419005 33598362875 33670812175 34585743335 35890865725 36059009987 37251043375 37789225565 37878667519 38436527129 39130854875 39707156125 40874060305 40970803643 42325210375 42416477675 44765697977 45424986607 46467796375 47037708025 47139137045 48420040669 48812715875 49531607125 50247212015 50987229865 52797427375 52904915791 55590018575 57223684427 57687755125 58537353875 59255294525 59383068745 61491343375 62396959625 65994791863 66511044875 68176437875 69344249975 70346096821 71382121811 72671587625 73741861375 73916398325 76088635337 78603962125 81952295425 82957412335 83136296243 85044834875 86087880725 87355743475 89922932671 90652186625 91987270375 93115462825 93316250885 96629253875 98052365125 101740222675 103238605925 103482957655 107134402375 110045546975 114198209125 115880067875 122298040865 126913061275 128782178525 130361647955 130642751239 134961519875 135280955425 137273311175 144534048295 146324298725 149988163325 154063765765 159877492775 162232095025 168354060875 172928716675 179454328625 180295049935 182506307137 188946127825 189393337595 192182635645 204370301525 204854018215 212082388375 215689272071 223828489885 227124933035 235188540125 235695685225 242100203345 251236060075 254936149325 264524578955 269055689903 277950092875 286118422135 286795625501 296276472625 296915343725 317974906249 329973959315 338940284683 346721249875 351730484105 356910609055 369581991625 380443176685 400565790989 409761477125 414787061675 415681481215 430439403625 436778717375 449614663355 465577314125 466581254425 492422677747 499674852677 508701113375 516193029625 517414788275 532620447359 550227734875 581954073701 611490204325 629460528697 634565306375 643910892625 651808239775 653213756195 676404777125 686366555875 722670241475 731621493625 749940816625 770318828825 799387463875 811160475125 864643583375 901475249675 912531535685 914499258673 944730639125 946966687975 960913178225 989152259381 1021851507625 1024270091075 1078446360355 1119142449425 1135624665175 1178478426125 1210501016725 1256180300375 1274680746625 1322622894775 1345278449515 1430592110675 1433978127505 1484576718625 1589874531245 1649869796575 1694701423415 1758652420525 1784553045275 1902215883425 2002828954945 2007569378507 2073935308375 2078407406075 2248073316775 2332906272125 2372581992781 2462113388735 2498374263385 2587073941375 2663102236795 2803960536923 2909770368505 3057451021625 3147302643485 3259041198875 3266068780975 3497723968739 3613351207375 3728343131513 3851594144125 4406223700879 4507376248375 4562657678425 4572496293365 4734833439875 4804565891125 4945761296905 5121350455375 5392231801775 5595712247125 5678123325875 6052505083625 6401494810711 6613114473875 6726392247575 6924065815667 7152960553375 7169890637525 7949372656225 8249348982875 8473507117075 8793262102625 8922765226375 9511079417125 10014144774725 10037846892535 10392037030375 11240366583875 11862909963905 12310566943675 12491871316925 13315511183975 14019802684615 14548851842525 15736513217425 16330343904875 17488619843695 18641715657565 22031118504395 22813288392125 22862481466825 24728806484525 26098401920591 26961159008875 30843565906153 32007474053555 33631961237875 34620329078335 35849453187625 39746863281125 42367535585375 48468460709669 50070723873625 50189234462675 59314549819525 61552834718375 62459356584625 66577555919875 70099013423075 72744259212625 78682566087125 87443099218475 93208578287825 110155592521975 114312407334125 123644032422625 130492009602955 154217829530765 160037370267775 173101645391675 242342303548345 250946172313375 296572749097625 339279224967683 350495067115375 437215496092375 466042891439125 550777962609875 652460048014775 771089147653825 800186851338875 865508226958375 1211711517741725 1696396124838415 3262300240073875 3855445738269125 6058557588708625 8481980624192075 42409903120960375
- Sum of all divisors σ(n): 75630466521792000
- Sum of proper divisors (its aliquot sum) s(n): 33220563400831625
- 42409903120960375 is a deficient number, because the sum of its proper divisors (33220563400831625) is less than itself. Its deficiency is 9189339720128750
Bases of 42409903120960375
- Binary: 100101101010101110010101000010100111101111001011011101112
- Hexadecimal: 0x96AB950A7BCB77
- Base-36: BLL20J2YXDJ
Squares and roots of 42409903120960375
- 42409903120960375 squared (424099031209603752) is 1798599882729244555818662320140625
- 42409903120960375 cubed (424099031209603753) is 76278446779917953165432999525452678851955052734375
-
The
square root of 42409903120960375 is 205936648.3192352409 -
The
cube root of 42409903120960375 is 348729.8262908025
Scales and comparisons
How big is 42409903120960375?- 42,409,903,120,960,375 seconds is equal to 1,348,503,736 years, 41 weeks, 5 days, 7 hours, 12 minutes, 55 seconds.
-
To count from 1 to 42,409,903,120,960,375 would take you about four billion, forty-five million, five hundred eleven thousand, two hundred ten 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 42409903120960375 cubic inches would be around 29060.8 feet tall.
Recreational maths with 42409903120960375
- 42409903120960375 backwards is 57306902130990424
- The number of decimal digits it has is: 17
- The sum of 42409903120960375's digits is 64
- More coming soon!
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"Number 42409903120960375 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42409903120960375 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42409903120960375/
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The information we have on file for 42409903120960375 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 42409903120960375, math, Factors of 42409903120960375, curriculum, school, college, exams, university, Prime factorization of 42409903120960375, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred nine trillion, nine hundred three billion, one hundred twenty million, nine hundred sixty thousand, three hundred seventy-five.