330770235001041871776
330,770,235,001,041,871,776 is an even composite number composed of five prime numbers multiplied together.
330770235001041871776 is an even 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 330770235001041871776:
25 × 33 × 132 × 735 × 1033
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 73 × 73 × 73 × 73 × 73 × 103 × 103 × 103)See below for interesting mathematical facts about the number 330770235001041871776 from the Numbermatics database.
Names of 330770235001041871776
- Cardinal: 330770235001041871776 can be written as Three hundred thirty quintillion, seven hundred seventy quadrillion, two hundred thirty-five trillion, one billion, forty-one million, eight hundred seventy-one thousand, seven hundred seventy-six.
Scientific notation
- Scientific notation: 3.30770235001041871776 × 1020
Factors of 330770235001041871776
Divisors of 330770235001041871776
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 73 78 96 103 104 108 117 144 146 156 169 206 208 216 219 234 288 292 309 312 338 351 412 416 432 438 468 507 584 618 624 657 676 702 824 864 876 927 936 949 1014 1168 1236 1248 1314 1339 1352 1404 1521 1648 1752 1854 1872 1898 1971 2028 2336 2472 2628 2678 2704 2781 2808 2847 3042 3296 3504 3708 3744 3796 3942 4017 4056 4563 4944 5256 5329 5356 5408 5562 5616 5694 6084 7008 7416 7519 7592 7884 8034 8112 8541 9126 9888 10512 10609 10658 10712 11124 11232 11388 12051 12168 12337 14832 15038 15184 15768 15987 16068 16224 17082 17407 18252 21024 21218 21316 21424 22248 22557 22776 24102 24336 24674 25623 29664 30076 30368 31536 31827 31974 32136 34164 34814 36153 36504 37011 42436 42632 42848 44496 45114 45552 47961 48204 48672 49348 51246 52221 60152 63072 63654 63948 64272 67671 68328 69277 69628 72306 73008 74022 84872 85264 88992 90228 91104 95481 95922 96408 97747 98696 102492 104442 111033 120304 127308 127896 128544 135342 136656 137917 138554 139256 143883 144612 146016 148044 156663 169744 170528 180456 190962 191844 192816 195494 197392 203013 204984 207831 208884 222066 240608 254616 255792 270684 273312 275834 277108 278512 286443 287766 289224 293241 296088 313326 333099 339488 360912 381924 383688 385632 389017 390988 394784 406026 409968 413751 415662 417768 444132 469989 509232 511584 541368 548887 551668 554216 557024 572886 575532 578448 586482 592176 623493 626652 666198 721824 763848 767376 774457 778034 781976 812052 819936 827502 831324 835536 879723 888264 900601 939978 1018464 1082736 1092727 1097774 1103336 1108432 1145772 1151064 1156896 1167051 1172964 1184352 1241253 1246986 1253304 1270711 1332396 1527696 1534752 1548914 1556068 1563952 1624104 1646661 1655004 1662648 1671072 1759446 1776528 1792921 1801202 1870479 1879956 2165472 2185454 2195548 2206672 2216864 2291544 2302128 2323371 2334102 2345928 2482506 2493972 2506608 2541422 2639169 2664792 2701803 3055392 3097828 3112136 3127904 3248208 3278181 3293322 3310008 3325296 3501153 3518892 3553056 3585842 3602404 3723759 3740958 3759912 3812133 4370908 4391096 4413344 4583088 4604256 4646742 4668204 4691856 4939983 4965012 4987944 5013216 5057221 5082844 5278338 5329584 5378763 5403606 6195656 6224272 6496416 6556362 6586644 6620016 6650592 6970113 7002306 7037784 7135531 7171684 7204808 7447518 7481916 7519824 7624266 8105409 8741816 8782192 9166176 9293484 9336408 9383712 9834543 9879966 9930024 9975888 10067941 10114442 10165688 10503459 10556676 10659168 10757526 10807212 11436399 12391312 12448544 13112724 13173288 13240032 13940226 14004612 14075568 14205451 14271062 14343368 14409616 14819949 14895036 14963832 15039648 15171663 15248532 16136289 16210818 17483632 17564384 18586968 18672816 19669086 19759932 19860048 19951776 20135882 20228884 20331376 20910339 21006918 21113352 21406593 21515052 21614424 22872798 24316227 24782624 26225448 26346576 27880452 28009224 28151136 28398241 28410902 28542124 28686736 28819232 29503629 29639898 29790072 29927664 30203823 30343326 30497064 32272578 32421636 34309197 34967264 37173936 37345632 39338172 39519864 39720096 40068751 40271764 40457768 40662752 41820678 42013836 42226704 42616353 42813186 43030104 43228848 45514989 45745596 48408867 48632454 52450896 52693152 55760904 56018448 56535361 56796482 56821804 57084248 57373472 59007258 59279796 59580144 59855328 60407646 60686652 60994128 64219779 64545156 64843272 65743873 68618394 74347872 78676344 79039728 79769071 80137502 80543528 80915536 83641356 84027672 84453408 85194723 85232706 85626372 86060208 86457696 90611469 91029978 91491192 92761903 96817734 97264908 104901792 111521808 112036896 113070722 113592964 113643608 114168496 118014516 118559592 119160288 120206253 120815292 121373304 121988256 127849059 128439558 129090312 129686544 130883233 131487746 136544967 137236788 157352688 158079456 159538142 160275004 161087056 161831072 167282712 168055344 169606083 170389446 170465412 171252744 172120416 181222938 182059956 182982384 184670863 185523806 192659337 193635468 194529816 197231619 223043616 226141444 227185928 227287216 228336992 236029032 237119184 239307213 240412506 241630584 242746608 255584169 255698118 256879116 258180624 259373088 261766466 262975492 271834407 273089934 274473576 278285709 314705376 319076284 320550008 322174112 334565424 336110688 339212166 340778892 340930824 342505488 360618759 362445876 364119912 365964768 369177133 369341726 371047612 383547177 385318674 387270936 389059632 392649699 394463238 452282888 454371856 454574432 472058064 474238368 478614426 480825012 483261168 485493216 508818249 511168338 511396236 513758232 516361248 520893763 523532932 525950984 543668814 546179868 548947152 554012589 556571418 591694857 638152568 641100016 669130848 678424332 681557784 681861648 685010976 717921639 721237518 724891752 728239824 734959693 738354266 738683452 742095224 766752507 767094354 770637348 774541872 778119264 785299398 788926476 834857127 904565776 908743712 944116128 957228852 961650024 966522336 1017636498 1022336676 1022792472 1027516464 1036997923 1041787526 1047065864 1051901968 1081856277 1087337628 1092359736 1097894304 1107531399 1108025178 1113142836 1177949097 1183389714 1276305136 1282200032 1356848664 1363115568 1363723296 1435843278 1442475036 1449783504 1456479648 1469919386 1476708532 1477366904 1484190448 1526454747 1533505014 1534188708 1541274696 1549083744 1562681289 1570598796 1577852952 1662037767 1669714254 1775084571 1809131552 1914457704 1923300048 2035272996 2044673352 2045584944 2055032928 2073071593 2073995846 2083575052 2094131728 2103803936 2153764917 2163712554 2174675256 2184719472 2204879079 2215062798 2216050356 2226285672 2355898194 2366779428 2504571381 2552610272 2713697328 2726231136 2871686556 2884950072 2899567008 2925018823 2939838772 2953417064 2954733808 2968380896 3052909494 3067010028 3068377416 3082549392 3110993769 3125362578 3141197592 3155705904 3322594197 3324075534 3339428508 3533847291 3550169142 3828915408 3846600096 4070545992 4089346704 4091169888 4127081353 4146143186 4147991692 4167150104 4188263456 4307529834 4327425108 4349350512 4369438944 4409758158 4430125596 4432100712 4452571344 4688043867 4711796388 4733558856 4799302729 4986113301 5009142762 5427394656 5743373112 5769900144 5823142183 5850037646 5879677544 5906834128 5909467616 6105818988 6134020056 6136754832 6165098784 6219214779 6221987538 6250725156 6282395184 6311411808 6614637237 6645188394 6648151068 6678857016 6771618919 7067694582 7100338284 7657830816 8141091984 8178693408 8254162706 8292286372 8295983384 8334300208 8615059668 8654850216 8698701024 8775056469 8819516316 8860251192 8864201424 8905142688 9332981307 9376087734 9423592776 9467117712 9554476009 9598605458 9967782591 9972226602 10018285524 11486746224 11539800288 11646284366 11700075292 11759355088 11813668256 12211637976 12268040112 12273509664 12381244059 12438429558 12443975076 12501450312 12564790368 13229274474 13290376788 13296302136 13357714032 13480972999 13543237838 14064131601 14135389164 14200676568 14397908187 16282183968 16508325412 16584572744 16591966768 16668600416 17230119336 17309700432 17469426549 17550112938 17639032632 17720502384 17728402848 18657644337 18665962614 18752175468 18847185552 18934235424 19108952018 19197210916 19843911711 19935565182 19944453204 20036571048 20314856757 22973492448 23292568732 23400150584 23518710176 24423275952 24536080224 24762488118 24876859116 24887950152 25002900624 26325169407 26458548948 26580753576 26592604272 26715428064 26949930709 26961945998 27086475676 27998943921 28128263202 28270778328 28401353136 28663428027 28795816374 33016650824 33169145488 33183933536 34460238672 34619400864 34938853098 35100225876 35278065264 35441004768 37143732177 37315288674 37331925228 37504350936 37694371104 38025244699 38217904036 38394421832 39687823422 39871130364 39888906408 40073142096 40442918997 40629713514 43193724561 46585137464 46800301168 48846551904 49524976236 49753718232 49775900304 50005801248 52408279647 52650338814 52917097896 53161507152 53185208544 53652057589 53899861418 53923891996 54172951352 55972933011 55997887842 56256526404 56541556656 56802706272 57326856054 57591632748 60944570271 66033301648 66338290976 68920477344 69877706196 70200451752 70556130528 74287464354 74630577348 74663850456 75008701872 75700848379 76050489398 76435808072 76788843664 78975508221 79375646844 79742260728 79777812816 80146284192 80849792127 80885837994 81259427028 85990284081 86387449122 93170274928 93600602336 99049952472 99507436464 99551800608 104816559294 105300677628 105834195792 106323014304 107304115178 107799722836 107847783992 108345902704 111431196531 111945866022 111995775684 112513052808 113083113312 114075734097 114653712108 115183265496 121328756991 121889140542 129581173683 132066603296 139755412392 140400903504 148574928708 149261154696 149327700912 150017403744 151401696758 152100978796 152871616144 153577687328 157224838941 157951016442 158751293688 159484521456 159555625632 160956172767 161699584254 161771675988 162518854056 171980568162 172774898244 182833710813 186340549856 198099904944 199014872928 209633118588 210601355256 211668391584 213526374079 214608230356 215599445672 215695567984 216691805408 222862393062 223891732044 223991551368 225026105616 227102545137 228151468194 229307424216 230366530992 242549376381 242657513982 243778281084 257970852243 259162347366 279510824784 280801807008 297149857416 298522309392 298655401824 301276938769 302803393516 304201957592 305743232288 314449677882 315902032884 317502587376 318969042912 321912345534 323399168508 323543351976 325037708112 342227202291 343961136324 345549796488 350349099217 363986270973 365667421626 396199809888 419266237176 421202710512 425089379359 427052748158 429216460712 431198891344 431391135968 445724786124 447783464088 447983102736 450052211232 454205090274 456302936388 458614848432 460733061984 482868518301 485098752762 485315027964 487556562168 494328181087 515941704486 518324694732 559021649568 594299714832 597044618784 602553877538 605606787032 608403915184 628899355764 631804065768 635005174752 640579122237 643824691068 646798337016 647086703952 650075416224 681307635411 684454404582 687922272648 691099592976 697476748657 700698198434 727648129143 727972541946 731334843252 838532474352 842405421024 850178758718 854105496316 858432921424 862397782688 891449572248 895566928176 895966205472 903830816307 908410180548 912605872776 917229696864 965737036602 970197505524 970630055928 975113124336 984111028927 988656362174 1026681606873 1031883408972 1036649389464 1051047297651 1188599429664 1205107755076 1211213574064 1216807830368 1257798711528 1263608131536 1275268138077 1281158244474 1287649382136 1293596674032 1294173407904 1362615270822 1368908809164 1375844545296 1382199185952 1394953497314 1401396396868 1448605554903 1455296258286 1455945083892 1462669686504 1482984543261 1677064948704 1700357517436 1708210992632 1716865842848 1782899144496 1791133856352 1807661632614 1816820361096 1825211745552 1921737366711 1931474073204 1940395011048 1941260111856 1950226248672 1968222057854 1977312724348 2043922906233 2053363213746 2063766817944 2073298778928 2092430245971 2102094595302 2410215510152 2422427148128 2515597423056 2527216263072 2550536276154 2562316488948 2575298764272 2587193348064 2711492448921 2725230541644 2737817618328 2751689090592 2775842863027 2789906994628 2802792793736 2897211109806 2910592516572 2911890167784 2925339373008 2952333086781 2965969086522 3153141892953 3400715034872 3416421985264 3565798288992 3615323265228 3633640722192 3650423491104 3825804414231 3843474733422 3862948146408 3880790022096 3882520223712 3916600203997 3936444115708 3954625448696 4087845812466 4106726427492 4127533635888 4146597557856 4184860491942 4204189190604 4448953629783 4820431020304 5031194846112 5101072552308 5124632977896 5150597528544 5422984897842 5450461083288 5475635236656 5526161931667 5551685726054 5579813989256 5605585587472 5765212100133 5794422219612 5821185033144 5823780335568 5850678746016 5904666173562 5931938173044 6277290737913 6306283785906 6801430069744 6832843970528 7230646530456 7267281444384 7651608828462 7686949466844 7725896292816 7761580044192 7833200407994 7872888231416 7909250897392 8134477346763 8175691624932 8213452854984 8255067271776 8327528589081 8369720983884 8408378381208 8856999260343 8897907259566 9459425678859 9640862040608 10202145104616 10249265955792 10845969795684 10900922166576 10951270473312 11052323863334 11103371452108 11159627978512 11211171174944 11477413242693 11530424200266 11588844439224 11642370066288 11647560671136 11749800611991 11809332347124 11863876346088 12554581475826 12612567571812 13346860889349 13602860139488 14461293060912 15303217656924 15373898933688 15451792585632 15666400815988 15745776462832 15818501794784 16268954693526 16351383249864 16426905709968 16578485795001 16655057178162 16739441967768 16816756762416 17713998520686 17795814519132 18831872213739 18918851357718 20404290209232 20498531911584 21691939591368 21801844333152 21993216530137 22104647726668 22206742904216 22319255957024 22954826485386 23060848400532 23177688878448 23284740132576 23499601223982 23618664694248 23727752692176 24982585767243 25109162951652 25225135143624 26570997781029 26693721778698 28922586121824 30606435313848 30747797867376 31031524693207 31332801631976 31491552925664 32537909387052 32702766499728 32853811419936 33156971590002 33310114356324 33478883935536 33633513524832 35249401835973 35427997041372 35591629038264 36085957219351 37663744427478 37837702715436 40808580418464 43383879182736 43986433060274 44209295453336 44413485808432 45909652970772 46121696801064 46355377756896 46999202447964 47237329388496 47455505384352 49735457385003 49965171534486 50218325903304 50450270287248 50915802651961 53141995562058 53387443557396 61212870627696 61495595734752 62063049386414 62665603263952 65075818774104 65405532999456 65979649590411 66313943180004 66620228712648 66957767871072 70498803671946 70855994082744 71183258076528 71840105111671 72171914438702 74947757301729 75327488854956 75675405430872 86767758365472 87972866120548 88418590906672 88826971616864 91819305941544 92243393602128 93094574079621 93998404895928 94474658776992 99470914770006 99930343068972 100436651806608 100900540574496 101831605303922 105748205507919 106283991124116 106774887114792 108257871658053 122425741255392 124126098772828 125331206527904 130151637548208 131959299180822 132627886360008 133240457425296 140997607343892 141711988165488 142366516153056 143680210223342 144343828877404 149206372155009 149895514603458 150654977709912 151350810861744 152747407955883 175945732241096 176837181813344 183638611883088 184486787204256 186189148159242 187996809791856 197938948771233 198941829540012 199860686137944 200873303613216 203663210607844 211496411015838 212567982248232 213549774229584 215520315335013 216515743316106 248252197545656 260303275096416 263918598361644 265255772720016 266480914850592 279283722238863 281995214687784 283423976330976 285911814891781 287360420446684 288687657754808 298412744310018 299791029206916 301309955419824 302701621723488 305494815911766 324773614974159 351891464482192 367277223766176 372378296318484 375993619583712 395877897542466 397883659080024 399721372275888 403409821011691 407326421215688 422992822031676 425135964496464 427099548459168 431040630670026 433031486632212 458242223867649 496504395091312 527837196723288 530511545440032 558567444477726 563990429375568 571823629783562 574720840893368 577375315509616 593816846313699 596825488620036 599582058413832 602619910839648 610989631823532 646560946005039 649547229948318 703782928964384 744756592636968 791755795084932 795767318160048 799442744551776 806819642023382 814652842431376 837851166716589 845985644063352 850271928992928 857735444675343 862081261340052 866062973264424 916484447735298 974320844922477 993008790182624 1055674393446576 1117134888955452 1127980858751136 1143647259567124 1149441681786736 1154750631019232 1187633692627398 1193650977240072 1199164116827664 1210229463035073 1221979263647064 1293121892010078 1299094459896636 1374726671602947 1489513185273936 1583511590169864 1591534636320096 1613639284046764 1629305684862752 1675702333433178 1691971288126704 1715470889350686 1724162522680104 1732125946528848 1832968895470596 1939682838015117 1948641689844954 2111348786893152 2234269777910904 2265301302604111 2287294519134248 2298883363573472 2375267385254796 2387301954480144 2398328233655328 2420458926070146 2443958527294128 2573206334026029 2586243784020156 2598188919793272 2749453343205894 2979026370547872 3167023180339728 3227278568093528 3351404666866356 3383942576253408 3430941778701372 3448325045360208 3464251893057696 3630688389105219 3665937790941192 3716853593593153 3879365676030234 3897283379689908 4468539555821808 4530602605208222 4574589038268496 4750534770509592 4774603908960288 4840917852140292 4887917054588256 5146412668052058 5172487568040312 5196377839586544 5244327673151983 5498906686411788 6334046360679456 6454557136187056 6702809333732712 6795903907812333 6861883557402744 6896650090720416 7261376778210438 7331875581882384 7433707187186306 7719619002078087 7758731352060468 7794566759379816 8937079111643616 9061205210416444 9149178076536992 9501069541019184 9681835704280584 10292825336104116 10344975136080624 10392755679173088 10488655346303966 10892065167315657 10997813372823576 11150560780779459 12909114272374112 13405618667465424 13591807815624666 13723767114805488 14522753556420876 14663751163764768 14867414374372612 15439238004156174 15517462704120936 15589133518759632 15732983019455949 18122410420832888 19002139082038368 19363671408561168 20387711723436999 20585650672208232 20689950272161248 20977310692607932 21784130334631314 21995626745647152 22301121561558918 26811237334930848 27183615631249332 27447534229610976 29045507112841752 29448916933853443 29734828748745224 30878476008312348 31034925408241872 31178267037519264 31465966038911898 33451682342338377 36244820841665776 38727342817122336 40775423446873998 41171301344416464 41954621385215864 43568260669262628 43991253491294304 44602243123117836 47198949058367847 54367231262498664 58091014225683504 58897833867706886 59469657497490448 61163135170310997 61756952016624696 62069850816483744 62931932077823796 66903364684676754 72489641683331552 81550846893747996 82342602688832928 83909242770431728 87136521338525256 88346750801560329 89204486246235672 94397898116735694 100355047027015131 108734462524997328 116182028451367008 117795667735413772 118939314994980896 122326270340621994 123513904033249392 125863864155647592 133806729369353508 141596847175103541 163101693787495992 167818485540863456 174273042677050512 176693501603120658 178408972492471344 188795796233471388 200710094054030262 217468925049994656 235591335470827544 244652540681243988 247027808066498784 251727728311295184 265040252404680987 267613458738707016 283193694350207082 326203387574991984 348546085354101024 353387003206241316 356817944984942688 377591592466942776 382835920140094759 401420188108060524 471182670941655088 489305081362487976 503455456622590368 530080504809361974 535226917477414032 566387388700414164 652406775149983968 706774006412482632 755183184933885552 765671840280189518 795120757214042961 802840376216121048 942365341883310176 978610162724975952 1060161009618723948 1070453834954828064 1132774777400828328 1148507760420284277 1413548012824965264 1510366369867771104 1531343680560379036 1590241514428085922 1605680752432242096 1957220325449951904 2120322019237447896 2265549554801656656 2297015520840568554 2827096025649930528 3062687361120758072 3180483028856171844 3211361504864484192 3445523281260852831 4240644038474895792 4531099109603313312 4594031041681137108 6125374722241516144 6360966057712343688 6891046562521705662 8481288076949791584 9188062083362274216 10336569843782558493 12250749444483032288 12721932115424687376 13782093125043411324 18376124166724548432 20673139687565116986 25443864230849374752 27564186250086822648 36752248333449096864 41346279375130233972 55128372500173645296 82692558750260467944 110256745000347290592 165385117500520935888 330770235001041871776
- Sum of all divisors σ(n): 1069559668586752761600
- Sum of proper divisors (its aliquot sum) s(n): 738789433585710889824
- 330770235001041871776 is an abundant number, because the sum of its proper divisors (738789433585710889824) is greater than itself. Its abundance is 408019198584669018048
Bases of 330770235001041871776
- Binary: 1000111101110010110111111000000111100110101011001010001100011101000002
- Hexadecimal: 0x11EE5BF03CD59463A0
- Base-36: 1XT1C6IDWXXGO0
Squares and roots of 330770235001041871776
- 330770235001041871776 squared (3307702350010418717762) is 109408948362644465344375860216797625394176
- 330770235001041871776 cubed (3307702350010418717763) is 36189223561128765118749439893402216828169165838362012849176576
-
The
square root of 330770235001041871776 is 18187089789.2170167781 -
The
cube root of 330770235001041871776 is 6915795.4664787901
Scales and comparisons
How big is 330770235001041871776?- 330,770,235,001,041,871,776 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 330,770,235,001,041,871,776 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 330770235001041871776 cubic inches would be around 576316.3 feet tall.
Recreational maths with 330770235001041871776
- 330770235001041871776 backwards is 677178140100532077033
- 330770235001041871776 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 330770235001041871776's digits is 72
- 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 330770235001041871776 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 330770235001041871776 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/330770235001041871776/
Chicago style:
Numbermatics. 2024. "Number 330770235001041871776 - Facts about the integer". https://numbermatics.com/n/330770235001041871776/
The information we have on file for 330770235001041871776 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 330770235001041871776, math, Factors of 330770235001041871776, curriculum, school, college, exams, university, Prime factorization of 330770235001041871776, STEM, science, technology, engineering, physics, economics, calculator, three hundred thirty quintillion, seven hundred seventy quadrillion, two hundred thirty-five trillion, one billion, forty-one million, eight hundred seventy-one thousand, seven hundred seventy-six.