623868720097362432
623,868,720,097,362,432 is an even composite number composed of six prime numbers multiplied together.
623868720097362432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 623868720097362432:
29 × 3 × 7 × 113 × 713 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 71 × 71 × 71 × 349 × 349)See below for interesting mathematical facts about the number 623868720097362432 from the Numbermatics database.
Names of 623868720097362432
- Cardinal: 623868720097362432 can be written as Six hundred twenty-three quadrillion, eight hundred sixty-eight trillion, seven hundred twenty billion, ninety-seven million, three hundred sixty-two thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 6.23868720097362432 × 1017
Factors of 623868720097362432
Divisors of 623868720097362432
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 71 77 84 88 96 112 121 128 132 142 154 168 176 192 213 224 231 242 256 264 284 308 336 349 352 363 384 426 448 462 484 497 512 528 568 616 672 698 704 726 768 781 847 852 896 924 968 994 1047 1056 1136 1232 1331 1344 1396 1408 1452 1491 1536 1562 1694 1704 1792 1848 1936 1988 2094 2112 2272 2343 2443 2464 2541 2662 2688 2792 2816 2904 2982 3124 3388 3408 3584 3696 3839 3872 3976 3993 4188 4224 4544 4686 4886 4928 5041 5082 5324 5376 5467 5584 5632 5808 5964 6248 6776 6816 7329 7392 7678 7744 7952 7986 8376 8448 8591 9088 9317 9372 9772 9856 10082 10164 10648 10752 10934 11168 11517 11616 11928 12496 13552 13632 14658 14784 15123 15356 15488 15904 15972 16401 16752 16896 17182 18176 18634 18744 19544 19712 20164 20328 21296 21868 22336 23034 23232 23856 24779 24992 25773 26873 27104 27264 27951 29316 29568 30246 30712 30976 31808 31944 32802 33504 34364 35287 36352 37268 37488 39088 39424 40328 40656 42229 42592 43736 44672 46068 46464 47712 49558 49984 51546 53746 54208 54528 55451 55902 58632 59136 60137 60492 61424 61952 63616 63888 65604 67008 68728 70574 74337 74536 74976 78176 80619 80656 81312 84458 85184 87472 89344 92136 92928 94501 95424 99116 99968 103092 105861 107492 108416 109056 110902 111804 117264 118272 120274 120984 121801 122848 126687 127232 127776 131208 134016 137456 141148 148674 149072 149952 156352 161238 161312 162624 166353 168916 170368 173453 174944 178688 180411 184272 185856 189002 190848 198232 199936 206184 211722 214984 216832 221804 223608 234528 240548 241968 243602 245696 253374 254464 255552 262416 268032 272569 274912 282296 283503 295603 297348 298144 299904 312704 322476 322624 325248 332706 337832 340736 346906 349888 357911 360822 365403 368544 378004 381696 388157 396464 399872 412368 423444 429968 433664 443608 447216 464519 469056 481096 483936 487204 491392 506748 511104 520359 524832 536064 545138 549824 564592 567006 591206 594696 596288 599808 609961 625408 644952 645248 650496 661507 665412 675664 681472 693812 699776 715822 721644 730806 737088 756008 763392 776314 792928 817707 824736 846888 852607 859936 886809 887216 894432 929038 938112 962192 967872 974408 982784 1013496 1022208 1040718 1049664 1073733 1090276 1099648 1129184 1134012 1164471 1182412 1189392 1192576 1199616 1219922 1250816 1289904 1290496 1300992 1323014 1330824 1339811 1351328 1387624 1393557 1399552 1431644 1443288 1461612 1474176 1512016 1552628 1585856 1635414 1649472 1693776 1705214 1719872 1759309 1773618 1774432 1788864 1829883 1858076 1876224 1907983 1924384 1935744 1948816 1965568 1984521 2026992 2044416 2081436 2099328 2147466 2180552 2199296 2258368 2268024 2328942 2364824 2378784 2385152 2439844 2505377 2557821 2579808 2580992 2646028 2661648 2679622 2702656 2775248 2787114 2799104 2863288 2886576 2923224 2948352 2998259 3024032 3105256 3171712 3251633 3270828 3298944 3387552 3410428 3439744 3518618 3547236 3548864 3577728 3659766 3716152 3752448 3815966 3848768 3871488 3897632 3937021 3969042 4019433 4053984 4162872 4198656 4269727 4294932 4361104 4398592 4516736 4536048 4657884 4729648 4757568 4770304 4879688 5010754 5115642 5159616 5277927 5292056 5323296 5359244 5405312 5550496 5574228 5723949 5726576 5773152 5846448 5896704 5996518 6048064 6210512 6343424 6503266 6541656 6597888 6709571 6775104 6820856 6879488 7037236 7094472 7097728 7155456 7319532 7432304 7516131 7631932 7697536 7742976 7795264 7874042 7938084 8038866 8107968 8325744 8397312 8539454 8589864 8647871 8722208 8994777 9033472 9072096 9315768 9378677 9459296 9515136 9754899 9759376 10021508 10231284 10319232 10555854 10584112 10646592 10718488 10810624 11100992 11148456 11447898 11453152 11546304 11692896 11811063 11993036 12096128 12315163 12421024 12686848 12809181 13006532 13083312 13195776 13419142 13550208 13641712 13758976 14074472 14188944 14195456 14310912 14639064 14737921 14864608 15032262 15263864 15395072 15590528 15748084 15876168 16077732 16215936 16651488 17078908 17179728 17295742 17444416 17989554 18066944 18144192 18631536 18757354 18918592 19030272 19352399 19509798 19518752 20043016 20128713 20462568 20638464 20987813 21111708 21168224 21293184 21436976 21621248 22201984 22296912 22895796 22906304 23092608 23385792 23622126 23986072 24192256 24630326 24842048 25618362 25943613 26013064 26166624 26838284 27100416 27283424 27559147 28136031 28148944 28377888 28390912 29278128 29475842 29729216 30064524 30527728 30790144 31181056 31496168 31752336 32155464 32431872 32980849 33302976 34157816 34359456 34591484 34888832 35979108 36288384 36945489 37263072 37514708 37837184 38060544 38704798 39019596 39037504 40086032 40257426 40925136 41276928 41975626 42223416 42336448 42586368 42873952 43307231 44213763 44403968 44593824 45791592 45812608 46185216 46771584 46966997 47244252 47972144 48384512 49260652 49684096 51236724 51887226 52026128 52333248 53676568 54200832 54566848 55118294 56272062 56297888 56755776 58057197 58556256 58951684 59458432 60129048 60535097 61055456 62362112 62963439 62992336 63504672 64310928 64863744 65961698 66605952 68315632 68718912 69182968 69777664 71958216 72576768 73890978 74526144 75029416 75674368 77409596 78039192 78075008 80172064 80514852 81850272 82677441 83951252 84446832 84672896 85172736 85747904 86614462 88427526 88807936 89187648 91583184 91625216 92370432 93543168 93933994 94488504 95126581 95944288 98521304 98942547 99368192 102473448 103165447 103774452 104052256 104666496 107353136 109133696 110236588 112544124 112595776 113511552 116114394 117112512 117903368 118916864 120258096 121070194 122110912 124910939 125926878 125984672 127009344 128621856 129921693 131923396 133211904 135466793 136631264 137437824 138365936 139555328 140900991 143916432 145153536 147781956 149052288 150058832 151348736 154819192 156078384 156150016 160344128 161029704 162117131 163700544 165354882 167902504 168893664 169345792 171495808 173228924 176855052 178375296 181605291 183166368 183250432 187086336 187867988 188977008 190253162 191888576 197042608 197885094 198736384 204946896 206330894 207548904 208104512 209332992 212876389 214706272 218267392 220473176 225088248 225191552 227023104 230865943 232228788 234225024 235806736 237833728 240516192 242140388 244221824 249821878 251853756 251969344 254018688 257243712 259843386 263846792 266423808 270933586 273262528 274875648 276731872 281801982 285379743 287832864 295563912 298104576 300117664 303150617 309496341 309638384 312156768 312300032 320688256 322059408 324234262 327401088 330709764 335805008 337787328 338691584 342991616 346457848 353710104 356750592 363210582 366332736 374732817 375735976 377954016 380506324 383777152 394085216 395770188 406400379 409893792 412661788 415097808 416209024 418665984 425752778 429412544 436534784 440946352 450176496 450383104 454046208 461731886 464457576 468450048 471613472 476379541 481032384 484280776 486351393 488443648 499643756 503707512 503938688 508037376 514487424 519686772 527693584 541867172 546525056 549751296 553463744 563603964 570759486 575665728 591127824 596209152 600235328 606301234 613998841 618992682 619276768 624313536 638629167 641376512 644118816 648468524 654802176 661419528 665886067 671610016 675574656 685983232 692597829 692915696 707420208 713501184 726421164 732665472 749465634 751471952 755908032 761012648 767554304 788170432 791540376 812800758 819787584 825323576 830195616 832418048 851505556 858825088 874376573 881892704 900352992 900766208 909451851 923463772 928915152 936900096 943226944 952759082 962064768 968561552 972702786 976887296 999287512 1007415024 1007877376 1016074752 1028974848 1039373544 1046392391 1055387168 1083734344 1093050112 1106927488 1127207928 1134819917 1141518972 1151331456 1182255648 1200470656 1212602468 1227997682 1237985364 1238553536 1248627072 1277258334 1282753024 1288237632 1296937048 1309604352 1322839056 1331772134 1343220032 1351149312 1374020329 1385195658 1385831392 1414840416 1429138623 1452842328 1465330944 1490134723 1498931268 1502943904 1511816064 1522025296 1535108608 1576340864 1583080752 1625601516 1639575168 1650647152 1660391232 1664836096 1703011112 1717650176 1748753146 1763785408 1800705984 1818903702 1841996523 1846927544 1857830304 1886453888 1905518164 1924129536 1937123104 1945405572 1997658201 1998575024 2014830048 2015754752 2057949696 2078747088 2092784782 2110774336 2167468688 2186100224 2213854976 2254415856 2269639834 2283037944 2302662912 2341640279 2364511296 2400941312 2425204936 2455995364 2475970728 2477107072 2497254144 2554516668 2576475264 2593874096 2623129719 2645678112 2663544268 2686440064 2702298624 2748040658 2770391316 2771662784 2829680832 2858277246 2905684656 2930661888 2980269446 2997862536 3005887808 3023632128 3044050592 3139177173 3152681728 3166161504 3251203032 3279150336 3301294304 3320782464 3334656787 3404459751 3406022224 3435300352 3497506292 3527570816 3601411968 3637807404 3683993046 3693855088 3715660608 3772907776 3811036328 3848259072 3874246208 3890811144 3995316402 3997150048 4029660096 4122060987 4157494176 4185569564 4221548672 4297991887 4334937376 4427709952 4470404169 4508831712 4539279668 4566075888 4605325824 4683280558 4729022592 4801882624 4850409872 4911990728 4951941456 4954214144 4994508288 5109033336 5152950528 5187748192 5246259438 5291356224 5327088536 5372880128 5496081316 5540782632 5543325568 5659361664 5716554492 5811369312 5960538892 5995725072 6011775616 6047264256 6088101184 6278354346 6305363456 6332323008 6502406064 6558300672 6602588608 6641564928 6669313574 6753987251 6808919502 6812044448 6995012584 7024920837 7055141632 7202823936 7275614808 7324746737 7367986092 7387710176 7431321216 7545815552 7622072656 7748492416 7781622288 7990632804 7994300096 8059320192 8244121974 8314988352 8371139128 8443097344 8595983774 8669874752 8940808338 9017663424 9078559336 9132151776 9366561116 9458045184 9618142303 9700819744 9823981456 9903882912 9908428288 10003970361 10218066672 10305901056 10375496384 10492518876 10582712448 10654177072 10745760256 10992162632 11081565264 11086651136 11318723328 11433108984 11510316301 11622738624 11921077784 11991450144 12023551232 12176202368 12556708692 12664646016 12893975661 13004812128 13205177216 13283129856 13338627148 13507974502 13617839004 13624088896 13990025168 14049841674 14110283264 14405647872 14551229616 14649493474 14735972184 14775420352 14862642432 15114223619 15244145312 15496984832 15563244576 15981265608 15988600192 16118640384 16391481953 16488243948 16629976704 16742278256 16886194688 17191967548 17339749504 17881616676 18035326848 18157118672 18264303552 18733122232 18916090368 19236284606 19401639488 19647962912 19807765824 20007940722 20261961753 20436133344 20750992768 20985037752 21165424896 21308354144 21974240211 21984325264 22163130528 22173302272 22637446656 22866217968 23020632602 23245477248 23842155568 23982900288 24047102464 24352404736 25113417384 25329292032 25787951322 26009624256 26410354432 26677254296 27015949004 27235678008 27248177792 27980050336 28099683348 28854426909 29102459232 29298986948 29471944368 29550840704 29725284864 30228447238 30488290624 30993969664 31126489152 31962531216 31977200384 32237280768 32782963906 32976487896 33259953408 33484556512 34383935096 34530948903 34679499008 35763233352 36070653696 36314237344 36528607104 37466244464 38472569212 38803278976 39295925824 39615531648 40015881444 40523923506 40872266688 41501985536 41970075504 42330849792 42616708288 43593917711 43948480422 43968650528 44326261056 45342670857 45732435936 46041265204 46490954496 47277910757 47684311136 47965800576 48704809472 49174445859 50226834768 50658584064 51575902644 52019248512 52820708864 53354508592 54031898008 54471356016 54496355584 55960100672 56199366696 57708853818 58204918464 58597973896 58943888736 59101681408 60456894476 60976581248 62252978304 63925062432 63954400768 65565927812 65952975792 66519906816 66969113024 68767870192 69061897806 69358998016 71526466704 72141307392 72628474688 73057214208 74293859761 74932488928 76945138424 77606557952 78591851648 79231063296 80031762888 80572214107 81047847012 81744533376 83003971072 83940151008 85233416576 87187835422 87896960844 87937301056 88652522112 90685341714 91464871872 92082530408 92981908992 94555821514 95368622272 95931601152 98348891718 100453669536 103151805288 104038497024 105799565333 106709017184 108063796016 108942712032 108992711168 111920201344 112398733392 115417707636 116409836928 117195947792 117887777472 118203362816 120913788952 121953162496 124505956608 127850124864 130781753133 131131855624 131905951584 133938226048 137535740384 138123795612 141833732271 143052933408 145256949376 146114428416 148587719522 149864977856 153890276848 155213115904 157183703296 158462126592 160063525776 161144428214 162095694024 163489066752 166256459809 167880302016 170466833152 174375670844 175793921688 175874602112 177305044224 181370683428 182929743744 184165060816 189111643028 190737244544 191863202304 196697783436 200907339072 206303610576 208076994048 211599130666 213418034368 216127592032 217885424064 222881579283 223840402688 224797466784 230835415272 232819673856 234391895584 235775554944 241716642321 241827577904 243906324992 249011913216 255700249728 261563506266 262263711248 263811903168 267876452096 275071480768 276247591224 283667464542 286105866816 290513898752 297175439044 299729955712 305157423977 307780553696 314367406592 317398695999 320127051552 322288856428 324191388048 326978133504 332512919618 335760604032 340933666304 348751341688 351587843376 351749204224 354610088448 362741366856 365859487488 368330121632 378223286056 381474489088 393395566872 401814678144 412607221152 423198261332 426836068736 432255184064 435770848128 445763158566 447680805376 449594933568 461670830544 465639347712 468783791168 471551109888 479533094821 483433284642 483655155808 498769379427 511400499456 520057018327 523127012532 524527422496 527623806336 535752904192 550142961536 552495182448 567334929084 572211733632 581027797504 594350878088 599459911424 610314847954 615561107392 634797391998 640254103104 644577712856 648382776096 665025839236 671521208064 697502683376 703175686752 703498408448 725482733712 731718974976 736660243264 756446572112 762948978176 786791133744 803629356288 817232457371 825214442304 846396522664 853672137472 864510368128 871541696256 891526317132 899189867136 915472271931 923341661088 937567582336 943102219776 959066189642 966866569284 967310311616 997538758854 1022800998912 1040114036654 1046254025064 1049054844992 1055247612672 1100285923072 1104990364896 1134669858168 1144423467264 1163795218663 1188701756176 1198919822848 1220629695908 1231122214784 1269594783996 1280508206208 1289155425712 1296765552192 1330051678472 1343042416128 1395005366752 1406351373504 1438599284463 1450965467424 1473320486528 1512893144224 1560171054981 1573582267488 1607258712576 1634464914742 1650428884608 1692793045328 1707344274944 1729020736256 1743083392512 1783052634264 1798379734272 1830944543862 1846683322176 1875135164672 1918132379284 1933733138568 1934620623232 1995077517708 2080228073308 2092508050128 2098109689984 2110495225344 2200571846144 2209980729792 2269339716336 2288846934528 2327590437326 2377403512352 2441259391816 2451697372113 2462244429568 2539189567992 2561016412416 2578310851424 2593531104384 2660103356944 2790010733504 2812702747008 2877198568926 2901930934848 2946640973056 3025786288448 3120342109962 3147164534976 3268929829484 3300857769216 3356731663747 3385586090656 3458041472512 3491385655989 3566105268528 3596759468544 3661889087724 3693366644352 3750270329344 3836264758568 3867466277136 3869241246464 3990155035416 4160456146616 4185016100256 4196219379968 4419961459584 4538679432672 4655180874652 4754807024704 4882518783632 4903394744226 4924488859136 5078379135984 5122032824832 5156621702848 5187062208768 5274864043031 5320206713888 5580021467008 5625405494016 5720627201597 5754397137852 5803861869696 5893281946112 6051572576896 6240684219924 6294329069952 6537859658968 6601715538432 6713463327494 6771172181312 6982771311978 7132210537056 7323778175448 7386733288704 7672529517136 7734932554272 7738482492928 7980310070832 8320912293232 8370032200512 8392438759936 8839922919168 9077358865344 9310361749304 9509614049408 9765037567264 9806789488452 10070194991241 10156758271968 10313243405696 10374124417536 10549728086062 10640413427776 11160042934016 11250810988032 11441254403194 11508794275704 11607723739392 12103145153792 12481368439848 12588658139904 13075719317936 13426926654988 13542344362624 13965542623956 14264421074112 14647556350896 14773466577408 15345059034272 15469865108544 15824592129093 15960620141664 16641824586464 16740064401024 17161881604791 17679845838336 18154717730688 18620723498608 19019228098816 19530075134528 19613578976904 20140389982482 20313516543936 20626486811392 21099456172124 21280826855552 22320085868032 22882508806388 23017588551408 23215447478784 24206290307584 24962736879696 25177316279808 26151438635872 26853853309976 27084688725248 27931085247912 28528842148224 29295112701792 30690118068544 30939730217088 31649184258186 31921240283328 33283649172928 33480128802048 34323763209582 36309435461376 36924048301217 37241446997216 38038456197632 39060150269056 39227157953808 40280779964964 40627033087872 41252973622784 42198912344248 42561653711104 45765017612776 46035177102816 49925473759392 52302877271744 53707706619952 54169377450496 55862170495824 57057684296448 58023504473341 58590225403584 61380236137088 61879460434176 63298368516372 63842480566656 66567298345856 66960257604096 68647526419164 72618870922752 73848096602434 74482893994432 78120300538112 78454315907616 80561559929928 81254066175744 84397824688496 85123307422208 91530035225552 92070354205632 99850947518784 104605754543488 107415413239904 110772144903651 111724340991648 114115368592896 116047008946682 117180450807168 122760472274176 123758920868352 126596737032744 127684961133312 133134596691712 137295052838328 147696193204868 148965787988864 156240601076224 156908631815232 161123119859856 162508132351488 168795649376992 174070513420023 183060070451104 184140708411264 199701895037568 209211509086976 214830826479808 221544289807302 223448681983296 232094017893364 234360901614336 245520944548352 253193474065488 255369922266624 266269193383424 274590105676656 295392386409736 297931575977728 313817263630464 322246239719712 337591298753984 348141026840046 366120140902208 368281416822528 399403790075136 406164531313387 418423018173952 429661652959616 443088579614604 446897363966592 464188035786728 468721803228672 506386948130976 549180211353312 590784772819472 595863151955456 627634527260928 644492479439424 675182597507968 696282053680092 732240281804416 736562833645056 798807580150272 812329062626774 859323305919232 886177159229208 893794727933184 928376071573456 1012773896261952 1098360422706624 1181569545638944 1218493593940161 1255269054521856 1288984958878848 1350365195015936 1392564107360184 1464480563608832 1624658125253548 1718646611838464 1772354318458416 1787589455866368 1856752143146912 2025547792523904 2196720845413248 2363139091277888 2436987187880322 2577969917757696 2700730390031872 2785128214720368 2928961127217664 3249316250507096 3544708636916832 3713504286293824 4051095585047808 4393441690826496 4726278182555776 4873974375760644 5155939835515392 5570256429440736 6498632501014192 7089417273833664 7427008572587648 8102191170095616 8786883381652992 9452556365111552 9747948751521288 11140512858881472 12997265002028384 14178834547667328 14854017145175296 18905112730223104 19495897503042576 22281025717762944 25994530004056768 28357669095334656 29708034290350592 38991795006085152 44562051435525888 51989060008113536 56715338190669312 77983590012170304 89124102871051776 103978120016227072 155967180024340608 207956240032454144 311934360048681216 623868720097362432
- Sum of all divisors σ(n): 2125196310352490496
- Sum of proper divisors (its aliquot sum) s(n): 1501327590255128064
- 623868720097362432 is an abundant number, because the sum of its proper divisors (1501327590255128064) is greater than itself. Its abundance is 877458870157765632
Bases of 623868720097362432
- Binary: 1000101010000110110101001011101001111110000110000010000000002
- Hexadecimal: 0x8A86D4BA7E18200
- Base-36: 4QMV05FOYEIO
Squares and roots of 623868720097362432
- 623868720097362432 squared (6238687200973624322) is 389212179915921151665333523164954624
- 623868720097362432 cubed (6238687200973624323) is 242817304530450080911013132316388312039429599362285568
-
The
square root of 623868720097362432 is 789853606.7508728115 -
The
cube root of 623868720097362432 is 854471.8054040905
Scales and comparisons
How big is 623868720097362432?- 623,868,720,097,362,432 seconds is equal to 19,837,095,546 years, 22 weeks, 6 days, 15 hours, 47 minutes, 12 seconds.
-
To count from 1 to 623,868,720,097,362,432 would take you about fifty-nine billion, five hundred eleven million, two hundred eighty-six thousand, six 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 623868720097362432 cubic inches would be around 71206 feet tall.
Recreational maths with 623868720097362432
- 623868720097362432 backwards is 234263790027868326
- The number of decimal digits it has is: 18
- The sum of 623868720097362432's digits is 78
- 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 623868720097362432 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 623868720097362432 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/623868720097362432/
Chicago style:
Numbermatics. 2024. "Number 623868720097362432 - Facts about the integer". https://numbermatics.com/n/623868720097362432/
The information we have on file for 623868720097362432 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 623868720097362432, math, Factors of 623868720097362432, curriculum, school, college, exams, university, Prime factorization of 623868720097362432, STEM, science, technology, engineering, physics, economics, calculator, six hundred twenty-three quadrillion, eight hundred sixty-eight trillion, seven hundred twenty billion, ninety-seven million, three hundred sixty-two thousand, four hundred thirty-two.