269425797423763050
269,425,797,423,763,050 is an even composite number composed of six prime numbers multiplied together.
269425797423763050 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 269425797423763050:
2 × 38 × 52 × 72 × 293 × 8292
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 29 × 29 × 29 × 829 × 829)See below for interesting mathematical facts about the number 269425797423763050 from the Numbermatics database.
Names of 269425797423763050
- Cardinal: 269425797423763050 can be written as Two hundred sixty-nine quadrillion, four hundred twenty-five trillion, seven hundred ninety-seven billion, four hundred twenty-three million, seven hundred sixty-three thousand and fifty.
Scientific notation
- Scientific notation: 2.6942579742376305 × 1017
Factors of 269425797423763050
Divisors of 269425797423763050
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 25 27 29 30 35 42 45 49 50 54 58 63 70 75 81 87 90 98 105 126 135 145 147 150 162 174 175 189 203 210 225 243 245 261 270 290 294 315 350 378 405 406 435 441 450 486 490 522 525 567 609 630 675 725 729 735 783 810 829 841 870 882 945 1015 1050 1134 1215 1218 1225 1305 1323 1350 1421 1450 1458 1470 1566 1575 1658 1682 1701 1827 1890 2025 2030 2175 2187 2205 2349 2430 2450 2487 2523 2610 2646 2835 2842 3045 3150 3402 3645 3654 3675 3915 3969 4050 4145 4205 4263 4350 4374 4410 4698 4725 4974 5046 5075 5103 5481 5670 5803 5887 6075 6090 6525 6561 6615 7047 7105 7290 7350 7461 7569 7830 7938 8290 8410 8505 8526 9135 9450 10150 10206 10935 10962 11025 11606 11745 11774 11907 12150 12435 12615 12789 13050 13122 13230 14094 14175 14210 14922 15138 15225 15309 16443 17010 17409 17661 18225 18270 19575 19845 20725 21025 21141 21315 21870 22050 22383 22707 23490 23814 24041 24389 24870 25230 25515 25578 27405 28350 29015 29435 30450 30618 32805 32886 33075 34818 35235 35322 35525 35721 36450 37305 37845 38367 39150 39690 40621 41209 41450 42050 42282 42525 42630 44766 45414 45675 45927 48082 48778 49329 51030 52227 52983 54675 54810 58030 58725 58870 59535 62175 63075 63423 63945 65610 66150 67149 68121 70470 71050 71442 72123 73167 74610 75690 76545 76734 81242 82215 82418 85050 87045 88305 91350 91854 98658 99225 104454 105705 105966 106575 107163 109350 111915 113535 115101 117450 119070 120205 121863 121945 123627 124350 126150 126846 127575 127890 134298 136242 137025 144246 145075 146334 147175 147987 153090 156681 158949 164025 164430 168287 170723 174090 176175 176610 178605 186525 189225 190269 191835 198450 201447 203105 204363 206045 211410 213150 214326 216369 219501 223830 227070 229635 230202 240410 243726 243890 246645 247254 255150 261135 264915 274050 290150 294350 295974 297675 313362 317115 317898 319725 321489 328050 335745 336574 340605 341446 345303 352350 357210 360615 365589 365835 370881 373050 378450 380538 382725 383670 402894 406210 408726 411075 412090 432738 435225 439002 441525 443961 459270 470043 476847 493290 504861 512169 522270 528525 529830 535815 559575 567675 575505 595350 601025 604341 609315 609725 613089 618135 634230 639450 642978 649107 658503 671490 681210 687241 690606 697189 721230 731178 731670 739935 741762 765450 783405 794745 822150 841435 853615 870450 883050 887922 893025 940086 951345 953694 959175 1007235 1009722 1015525 1021815 1024338 1030225 1035909 1057050 1071630 1081845 1096767 1097505 1112643 1119150 1135350 1148175 1151010 1178009 1195061 1202050 1208682 1218630 1219450 1226178 1233225 1236270 1298214 1305675 1317006 1324575 1331883 1374482 1394378 1410129 1430541 1479870 1514583 1536507 1566810 1585575 1589490 1607445 1678725 1682870 1703025 1707230 1726515 1786050 1803075 1813023 1827945 1829175 1839267 1854405 1902690 1918350 1947321 1975509 2014470 2031050 2043630 2060450 2061723 2071818 2091567 2163690 2193534 2195010 2219805 2225286 2296350 2350215 2356018 2384235 2390122 2466450 2524305 2560845 2611350 2649150 2663766 2679075 2820258 2861082 2877525 3021705 3029166 3046575 3065445 3073014 3090675 3107727 3171150 3214890 3245535 3290301 3292515 3337929 3357450 3406050 3436205 3453030 3485945 3534027 3585183 3606150 3626046 3655890 3658350 3678534 3699675 3708810 3894642 3917025 3951018 3973725 4123446 4183134 4207175 4230387 4268075 4291623 4439610 4543749 4609521 4700430 4756725 4768470 4810687 4880323 5036175 5048610 5109075 5121690 5179545 5358150 5409225 5439069 5483835 5487525 5517801 5563215 5755050 5841963 5890045 5926527 5975305 6043410 6093150 6130890 6181350 6185169 6215454 6274701 6491070 6580602 6585030 6659415 6675858 6872410 6971890 7050645 7068054 7152705 7170366 7399350 7572915 7682535 7834050 7947450 8037225 8414350 8460774 8536150 8583246 8632575 9065115 9087498 9139725 9196335 9219042 9272025 9323181 9513450 9621374 9736605 9760646 9870903 9877545 10013787 10072350 10218150 10308615 10359090 10457835 10602081 10755549 10818450 10878138 10967670 10975050 11035602 11099025 11126430 11683926 11751075 11780090 11853054 11921175 11950610 12370338 12549402 12621525 12691161 12804225 12874869 13318830 13631247 13828563 14101290 14305410 14432061 14640969 15108525 15145830 15327225 15365070 15538635 16074450 16227675 16451505 16462575 16689645 17181025 17265150 17429725 17525889 17670135 17779581 17925915 18130230 18279450 18392670 18544050 18555507 18646362 18824103 19473210 19741806 19755090 19929989 20027574 20218481 20617230 20915670 21151935 21204162 21458115 21511098 22198050 22718745 23047605 23502150 23842350 24053435 24401615 25243050 25382322 25608450 25749738 25897725 27195345 27262494 27419175 27589005 27657126 27816075 28864122 29209815 29281938 29450225 29612709 29632635 29876525 30041361 30217050 30654450 30925845 31077270 31373505 31806243 32266647 32455350 32903010 32925150 33297075 33379290 33674809 34162261 34362050 34859450 35051778 35253225 35340270 35559162 35763525 35851830 37111014 37648206 37864575 38073483 38412675 38624607 39859978 40436962 40893741 41485689 42303870 42916230 43296183 43922907 45325575 45437490 45981675 46095210 46615905 48106870 48683025 48803230 49354515 49387725 50068935 51543075 51795450 52289175 52577667 53010405 53338743 53777745 54390690 54838350 55178010 55632150 55666521 56472309 58419630 58900450 59225418 59265270 59753050 59789967 60082722 60655443 61851690 62747010 63455805 63612486 64374345 64533294 66594150 67349618 68156235 68324522 69142815 70506450 71527050 72160305 73204845 75729150 76146966 76825350 77249214 77693175 81787482 82257525 82971378 83448225 86592366 87629445 87845814 88350675 88838127 88897905 89629575 90124083 90651150 91963350 92777535 93231810 94120515 95418729 96799941 97366050 98709030 98775450 99649945 100137870 101024427 101092405 102486783 103086150 104578350 105155334 105759675 106020810 106677486 107290575 107555490 111333042 112944618 113593725 115238025 119579934 120267175 121310886 122008075 122681223 124457067 126911610 128748690 129888549 131768721 135976725 136312470 137945025 138285630 139509923 141529367 144320610 146049075 146409690 148063545 148163175 150206805 154629225 155386350 156867525 157733001 159031215 160016229 161333235 164515050 166896450 166999563 168374045 169416927 170811305 175258890 176701350 177676254 177795810 179259150 179369901 180248166 181966329 185555070 188241030 190367415 190837458 193123035 193599882 199299890 202048854 202184810 204468705 204973566 207428445 211519350 214581150 216480915 219614535 227187450 230476050 233079525 240534350 244016150 245362446 246772575 248914134 250344675 259777098 262888335 263537442 265052025 266514381 266693715 268888725 270372249 271953450 275890050 278332605 279019846 282361545 283058734 286256187 290399823 292098150 296127090 296326350 298949835 300413610 303073281 303277215 307460349 309258450 313735050 315466002 317279025 318062430 320032458 321871725 322666470 333999126 336748090 338833854 340781175 341622610 345714075 358739802 360801525 363932658 366024225 368043669 373371201 380734830 386246070 389665647 395306163 408937410 414856890 418529769 424588101 432961830 438147225 439229070 444190635 444489525 450620415 463887675 466159050 470602575 477093645 483999705 493545150 498249725 500689350 500998689 505122135 505462025 508250781 512433915 525776670 530104050 533028762 533387430 537777450 538109703 540744498 545898987 556665210 564723090 572512374 577969681 580799646 597899670 606146562 606554430 613406115 614920698 622285335 634558050 643743450 649442745 658843605 681562350 691428150 697549615 707646835 721603050 732048450 736087338 740317725 746742402 751034025 779331294 788665005 790612326 795156075 800081145 806666175 834997815 837059538 841870225 847084635 849176202 854056525 858768561 871199469 876294450 888381270 888979050 896849505 901240830 909219843 909831645 922381047 927775350 941205150 951837075 954187290 965615175 967999410 976569461 990705569 996499450 1001997378 1010244270 1010924050 1016501562 1022343525 1024867830 1037142225 1076219406 1082404575 1091797974 1098072675 1104131007 1120113603 1155939362 1168996941 1185918489 1226812230 1244570670 1255589307 1273764303 1298885490 1314441675 1317687210 1332571905 1333468575 1351861245 1391663025 1395099230 1411807725 1415293670 1431280935 1451999115 1480635450 1494749175 1502068050 1502996067 1515366405 1516386075 1524752343 1537301745 1577330010 1590312150 1600162290 1613332350 1614329109 1637696961 1669995630 1683740450 1694169270 1708113050 1717537122 1733909043 1742398938 1793699010 1818439686 1819663290 1840218345 1844762094 1866856005 1903674150 1931230350 1948328235 1953138922 1976530815 1981411138 2044687050 2074284450 2092648845 2122940505 2164809150 2196145350 2208262014 2220953175 2240227206 2253102075 2337993882 2371836978 2385468225 2419998525 2504993445 2511178614 2525610675 2541253905 2547528606 2562169575 2576305683 2613598407 2628883350 2665143810 2666937150 2690548515 2703722490 2727659529 2729494935 2767143141 2783326050 2823615450 2862561870 2889848405 2903998230 2929708383 2972116707 2989498350 3005992134 3030732810 3032772150 3049504686 3067030575 3074603490 3111426675 3228658218 3247213725 3275393922 3294218025 3467818086 3487748075 3506990823 3538234175 3557755467 3680436690 3733712010 3766767921 3821292909 3896656470 3943325025 3953061630 4000405725 4045787767 4174989075 4185297690 4235423175 4245881010 4293842805 4355997345 4441906350 4484247525 4506204150 4508988201 4546099215 4549158225 4574257029 4611905235 4770936450 4839997050 4842987327 4882847305 4913090883 4953527845 5009986890 5051221350 5082507810 5124339150 5152611366 5201727129 5227196814 5381097030 5455319058 5458989870 5520655035 5534286282 5600568015 5779696810 5844984705 5859416766 5929592445 5944233414 6134061150 6222853350 6277946535 6368821515 6494427450 6588436050 6662859525 6759306225 6975496150 7013981646 7076468350 7115510934 7156404675 7259995575 7514980335 7533535842 7576832025 7623761715 7642585818 7686508725 7728917049 7840795221 7886650050 8000811450 8071645545 8091575534 8182978587 8188484805 8301429423 8349978150 8470846350 8587685610 8669545215 8711994690 8789125149 8916350121 8968495050 9017976402 9092198430 9098316450 9148514058 9201091725 9223810470 9334280025 9685974654 9741641175 9765694610 9826181766 9882654075 9907055690 10403454258 10463244225 10520972469 10614702525 10673266401 11041310070 11201136030 11300303763 11463878727 11689969410 11859184890 12137363301 12524967225 12555893070 12706269525 12737643030 12881528415 13067992035 13325719050 13452742575 13518612450 13638297645 13647474675 13835715705 14312809350 14449242025 14519991150 14528961981 14648541915 14739272649 14860583535 15029960670 15153664050 15247523430 15373017450 15457834098 15605181387 15681590442 16143291090 16365957174 16376969610 16602858846 16761120749 17339090430 17534954115 17578250298 17788777335 17832700242 18402183450 18668560050 18833839605 19106464545 19483282350 19765308150 20228938835 20926488450 21041944938 21229405050 21346532802 21469214025 21779986725 22544941005 22600607526 22730496075 22871285145 22927757454 23059526175 24214936635 24274726602 24414236525 24548935761 24565454415 24767639225 24904288269 25049934450 25412539050 25763056830 26008635645 26135984070 26367375447 26749050363 26905485150 27276595290 27294949350 27603275175 27671431410 28002840075 28320514369 28898484050 29057923962 29224923525 29297083830 29478545298 29647962225 29721167070 31210362774 31389732675 31562917407 31844107575 32019799203 33522241498 33900911289 34391636181 35069908230 35577554670 36412089903 37574901675 37667679210 38118808575 38212929090 38644585245 39203976105 40358227725 40457877670 40914892935 40942424025 41507147115 42938428050 43347726075 43559973450 43586885943 43945625745 44217817947 44581750605 45089882010 45460992150 45742570290 46119052350 46815544161 48429873270 48828473050 49097871522 49130908830 49535278450 49808576538 50283362247 52017271290 52604862345 52734750894 53366332005 53498100726 55206550350 56005680150 56501518815 56641028738 57319393635 58449847050 59295924450 60686816505 62779465350 63125834814 63688215150 64039598406 64407642075 65339960175 67801822578 68191488225 68783272362 69178578525 72644809905 72824179806 73242709575 73646807283 73696363245 74302917675 74712864807 75149803350 76237617150 77289170490 78025906935 78407952210 79102126341 80247151089 80716455450 81829785870 81884848050 83014294230 83805603745 84961543107 86695452150 87173771886 87674770575 87891251490 88435635894 88943886675 89163501210 93631088322 94169198025 95532322725 100566724494 101144694175 101702733867 103174908543 105209724690 106732664010 109236269709 112724705025 113003037630 114356425725 114638787270 117327845243 121074683175 121373633010 122744678805 122827272075 124521441345 128815284150 130043178225 130679920350 130760657829 131836877235 132653453841 133745251815 136382976450 138357157050 140446632483 141602571845 145289619810 146485419150 147293614566 147392726490 148605835350 149425729614 150850086741 156051813870 157814587035 158204252682 160098996015 160494302178 167611207490 169504556445 169923086214 171958180905 175349541150 177887773350 182060449515 188338396050 191064645450 193222926225 196019880525 202289388350 203405467734 204574464675 206349817086 207535735575 217934429715 218472539418 219728128725 220940421849 221089089735 222908753025 224138594421 225449410050 228712851450 234077720805 234655690486 237306379023 240741453267 242149366350 245489357610 245654544150 249042882690 251416811235 254884629321 260086356450 261521315658 263024311725 263673754470 265306907682 266831660025 267490503630 280893264966 282507594075 283205143690 286596968175 301700173482 303434082525 305108201601 309524725629 315629174070 320197992030 327708809127 339009112890 343916361810 351983535729 363224049525 364120899030 368234036415 368481816225 373564324035 386445852450 390129534675 392039761050 395510631705 401235755445 409148929350 415071471150 419028018725 421339897449 424807715535 435868859430 439456257450 441880843698 442178179470 445817506050 448277188842 452550260223 468155441610 474612758046 481482906534 502833622470 508513669335 509769258642 515874542715 526048623450 533663320050 546181348545 565015188150 573193936350 586639226215 606868165050 610216403202 613723394025 619049451258 622607206725 653803289145 655417618254 659184386175 663267269205 668726259075 702233162415 703967071458 708012859225 711919137069 722224359801 726448099050 736468072830 736963632450 747128648070 754250433705 764653887963 780259069350 789072935175 791021263410 800494980075 802471510890 821294916701 838056037450 842679794898 847522782225 849615431070 859790904525 905100520446 910302247575 915324604803 928574176887 983126427381 1017027338670 1031749085430 1055950607187 1089672148575 1092362697090 1104702109245 1105445448675 1120692972105 1170388604025 1173278452430 1186531895115 1203707266335 1227446788050 1245214413450 1257084056175 1264019692347 1274423146605 1307606578290 1318368772350 1326534538410 1337452518150 1357650780669 1404466324830 1416025718450 1423838274138 1444448719602 1508500867410 1525541008005 1529307775926 1547623628145 1578145870350 1600989960150 1638544045635 1642589833402 1695045564450 1719581809050 1759917678645 1820604495150 1830649209606 1841170182075 1857148353774 1867821620175 1966252854762 1977553158525 2006178777225 2106699487245 2111901214374 2124038577675 2135757411207 2166673079403 2179344297150 2209404218490 2210890897350 2241385944210 2262751301115 2293961663889 2340777208050 2373063790230 2407414532670 2463884750103 2514168112350 2528039384694 2542568346675 2548846293210 2579372713575 2715301561338 2730906742725 2933196131075 2949379282143 3051082016010 3095247256290 3167851821561 3269016445725 3277088091270 3316336346025 3511165812075 3519835357290 3559595685345 3611121799005 3682340364150 3735643240350 3771252168525 3792059077041 3823269439815 3955106317050 4012357554450 4072952342007 4106474583505 4213398974490 4248077155350 4271514822414 4333346158806 4525502602230 4576623024015 4587923327778 4642870884435 4915632136905 4927769500206 5085136693350 5158745427150 5279753035935 5461813485450 5523510546225 5603464860525 5866392262150 5898758564286 5932659475575 6018536331675 6320098461735 6335703643122 6372115733025 6407272233621 6500019238209 6538032891450 6632672692050 6788253903345 6881884991667 7022331624150 7119191370690 7222243598010 7391654250309 7542504337050 7584118154082 7627705040025 7646538879630 7738118140725 8145904684014 8192720228175 8212949167010 8799588393225 8848137846429 9153246048030 9285741768870 9503555464683 9831264273810 10533497436225 10559506071870 10678787056035 10833365397015 11047021092450 11206929721050 11313756505575 11469808319445 11865318951150 12037072663350 12218857026021 12319423750515 12640196923470 12744231466050 12814544467242 13000038476418 13576507806690 13763769983334 14746896410715 14783308500618 15255410080050 15476236281450 15839259107805 16385440456350 17599176786450 17696275692858 17797978426725 18055608995025 18960295385205 19007110929366 19116347199075 20364761710035 20532372917525 20645654975001 21066994872450 21357574112070 21666730794030 22174962750927 22627513011150 22883115120075 22939616638890 23214354422175 24437714052042 24578160684525 24638847501030 26398765179675 26544413539287 28510666394049 29493792821430 31600492308675 31678518215610 32036361168105 32500096191045 33941269516725 34409424958335 35595956853450 36111217990050 36656571078063 36958271251545 37920590770410 38232694398150 40729523420070 41064745835050 41291309950002 44240689232145 44349925501854 45766230240150 46428708844350 47517777323415 49156321369050 52797530359350 53088827078574 53393935280175 54166826985075 57021332788098 57349041597225 61094285130105 61597118752575 61936964925003 63200984617350 64072722336210 65000192382090 66524888252781 67882539033450 68818849916670 73313142156126 73734482053575 73916542503090 79196295539025 85531999182147 88481378464290 94801476926025 95035554646830 101823808550175 103228274875005 106787870560350 108333653970150 109969713234189 110874813754635 114698083194450 122188570260210 123194237505150 123873929850006 132722067696435 133049776505562 142553331970245 147468964107150 158392591078050 160181805840525 162500480955225 171063998364294 172047124791675 183282855390315 184791356257725 185810894775009 189602953852050 199574664758343 203647617100350 206456549750010 219939426468378 221203446160725 221749627509270 237588886617075 256595997546441 265444135392870 285106663940490 305471425650525 309684824625015 320363611681050 325000961910450 332624441263905 344094249583350 366565710780630 369582712515450 371621789550018 399149329516686 427659995910735 442406892321450 475177773234150 513191995092882 516141374375025 549848566170945 554374068773175 598723994275029 610942851301050 619369649250030 663610338482175 665248882527810 712766659851225 769787992639323 855319991821470 916414276951575 929054473875045 997873323791715 1032282748750050 1099697132341890 1108748137546350 1197447988550058 1282979987732205 1327220676964350 1425533319702450 1539575985278646 1548424123125075 1663122206319525 1796171982825087 1832828553903150 1858108947750090 1995746647583430 2138299979553675 2565959975464410 2749242830854725 2993619971375145 3096848246250150 3326244412639050 3592343965650174 3848939963196615 4276599959107350 4645272369375225 4989366618958575 5388515948475261 5498485661709450 5987239942750290 6414899938661025 7697879926393230 8980859914125435 9290544738750450 9978733237917150 10777031896950522 12829799877322050 14968099856875725 17961719828250870 19244699815983075 26942579742376305 29936199713751450 38489399631966150 44904299570627175 53885159484752610 89808599141254350 134712898711881525 269425797423763050
- Sum of all divisors σ(n): 906700043062777860
- Sum of proper divisors (its aliquot sum) s(n): 637274245639014810
- 269425797423763050 is an abundant number, because the sum of its proper divisors (637274245639014810) is greater than itself. Its abundance is 367848448215251760
Bases of 269425797423763050
- Binary: 11101111010011000101010101110101001100010100001110011010102
- Hexadecimal: 0x3BD3155D4C50E6A
- Base-36: 21OVH2MY5WMI
Squares and roots of 269425797423763050
- 269425797423763050 squared (2694257974237630502) is 72590260317430604150376822545302500
- 269425797423763050 cubed (2694257974237630503) is 19557688771222283627815144242702035639698650572625000
-
The
square root of 269425797423763050 is 519062421.5099404111 -
The
cube root of 269425797423763050 is 645871.9033264101
Scales and comparisons
How big is 269425797423763050?- 269,425,797,423,763,050 seconds is equal to 8,566,906,969 years, 19 weeks, 2 hours, 37 minutes, 30 seconds.
-
To count from 1 to 269,425,797,423,763,050 would take you about twenty-five billion, seven hundred million, seven hundred twenty thousand, nine hundred eight 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 269425797423763050 cubic inches would be around 53822.7 feet tall.
Recreational maths with 269425797423763050
- 269425797423763050 backwards is 050367324797524962
- 269425797423763050 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 269425797423763050's digits is 81
- 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 269425797423763050 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 269425797423763050 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/269425797423763050/
Chicago style:
Numbermatics. 2024. "Number 269425797423763050 - Facts about the integer". https://numbermatics.com/n/269425797423763050/
The information we have on file for 269425797423763050 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 269425797423763050, math, Factors of 269425797423763050, curriculum, school, college, exams, university, Prime factorization of 269425797423763050, STEM, science, technology, engineering, physics, economics, calculator, two hundred sixty-nine quadrillion, four hundred twenty-five trillion, seven hundred ninety-seven billion, four hundred twenty-three million, seven hundred sixty-three thousand and fifty.