2780623618126848
2,780,623,618,126,848 is an even composite number composed of seven prime numbers multiplied together.
2780623618126848 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 2780623618126848:
210 × 33 × 13 × 31 × 372 × 421 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 37 × 37 × 421 × 433)See below for interesting mathematical facts about the number 2780623618126848 from the Numbermatics database.
Names of 2780623618126848
- Cardinal: 2780623618126848 can be written as Two quadrillion, seven hundred eighty trillion, six hundred twenty-three billion, six hundred eighteen million, one hundred twenty-six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 2.780623618126848 × 1015
Factors of 2780623618126848
Divisors of 2780623618126848
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 37 39 48 52 54 62 64 72 74 78 93 96 104 108 111 117 124 128 144 148 156 186 192 208 216 222 234 248 256 279 288 296 312 333 351 372 384 403 416 421 432 433 444 468 481 496 512 558 576 592 624 666 702 744 768 806 832 837 842 864 866 888 936 962 992 999 1024 1116 1147 1152 1184 1209 1248 1263 1299 1332 1369 1404 1443 1488 1536 1612 1664 1674 1684 1728 1732 1776 1872 1924 1984 1998 2232 2294 2304 2368 2418 2496 2526 2598 2664 2738 2808 2886 2976 3072 3224 3328 3348 3368 3441 3456 3464 3552 3627 3744 3789 3848 3897 3968 3996 4107 4329 4464 4588 4608 4736 4836 4992 5052 5196 5328 5473 5476 5616 5629 5772 5952 6448 6656 6696 6736 6882 6912 6928 7104 7254 7488 7578 7696 7794 7936 7992 8214 8658 8928 9176 9216 9472 9672 9984 10104 10323 10392 10656 10881 10946 10952 11232 11258 11367 11544 11691 11904 12321 12896 12987 13051 13312 13392 13423 13472 13764 13824 13856 14208 14508 14911 14976 15156 15392 15577 15588 15872 15984 16021 16419 16428 16887 17316 17797 17856 18352 18944 19344 19968 20208 20646 20784 21312 21762 21892 21904 22464 22516 22734 23088 23382 23808 24642 25792 25974 26102 26784 26846 26944 27528 27648 27712 28416 29016 29822 29952 30312 30784 30969 31154 31176 31744 31968 32042 32838 32856 33774 34632 35594 35712 36704 36963 37888 38688 39153 39936 40269 40416 41292 41568 42439 42624 43524 43784 43808 44733 44928 45032 45468 46176 46731 46764 47616 48063 49257 49284 50661 51584 51948 52204 53391 53568 53692 53888 55056 55424 56832 58032 59644 59904 60624 61568 61938 62308 62352 63936 64084 65676 65712 67548 69264 71188 71424 73408 73926 77376 78306 80538 80832 82584 83136 84878 85248 87048 87568 87616 89466 89856 90064 90936 92352 93462 93528 95232 96126 98514 98568 101322 103168 103896 104408 106782 107136 107384 107776 110112 110848 113664 116064 117459 119288 119808 120807 121248 123136 123876 124616 124704 127317 127872 128168 131352 131424 134199 135096 138528 140193 142376 142848 144189 146816 147771 147852 151983 154752 156612 160173 161076 161664 165168 166272 169663 169756 170496 174096 174499 175136 175232 178932 179712 180128 181872 182293 184704 186924 187056 192252 197028 197136 202501 202644 206336 207792 208273 208816 213564 214272 214768 215552 220224 221696 232128 234918 238576 241614 242496 246272 247752 249232 249408 254634 255744 256336 262704 262848 268398 270192 277056 280386 284752 285696 288378 293632 295542 295704 303966 309504 313224 320346 322152 323328 330336 332544 339326 339512 340992 348192 348998 350272 350464 352377 357864 359424 360256 362421 363744 364586 369408 373848 374112 381951 384504 394056 394272 402597 405002 405288 412672 415584 416546 417632 420579 427128 428544 429536 431104 432567 440448 443392 464256 469836 477152 480519 482887 483228 484992 492544 495504 496651 498464 498816 508989 509268 511488 512672 523497 525408 525696 536796 540384 546879 551707 554112 560772 569504 576349 576756 587264 591084 591408 592777 607503 607932 619008 624819 626448 640692 644304 646656 660672 665088 678652 679024 696384 697996 700544 700928 704754 715728 720512 724842 727488 729172 738816 747696 748224 763902 769008 788112 788544 805194 810004 810576 831168 833092 835264 841158 854256 857088 859072 865134 880896 928512 939672 954304 961038 965774 966456 969984 991008 993302 996928 997632 1017978 1018536 1022976 1025344 1046994 1050816 1051392 1073592 1080768 1093758 1103414 1108224 1121544 1139008 1145853 1152698 1153512 1174528 1182168 1182816 1185554 1215006 1215864 1238016 1249638 1252896 1281384 1288608 1293312 1321344 1330176 1357304 1358048 1392768 1395992 1401088 1401856 1409508 1431456 1441024 1448661 1449684 1454976 1458344 1477632 1489953 1495392 1496448 1526967 1527804 1538016 1570491 1576224 1577088 1610388 1620008 1621152 1640637 1655121 1662336 1666184 1670528 1682316 1708512 1718144 1729047 1730268 1761792 1778331 1822509 1857024 1874457 1879344 1908608 1922076 1931548 1932912 1939968 1982016 1986604 1993856 1995264 2035956 2037072 2050688 2093988 2101632 2102784 2147184 2161536 2187516 2206828 2216448 2243088 2278016 2291706 2305396 2307024 2364336 2365632 2369809 2371108 2430012 2431728 2499276 2505792 2562768 2577216 2642688 2714608 2716096 2785536 2791984 2802176 2819016 2862912 2882048 2897322 2899368 2909952 2916688 2979906 2990784 2992896 3053934 3055608 3076032 3140982 3152448 3154176 3220776 3240016 3242304 3281274 3310242 3324672 3332368 3341056 3364632 3417024 3436288 3458094 3460536 3523584 3556662 3645018 3714048 3748914 3758688 3817216 3844152 3863096 3865824 3879936 3964032 3973208 3987712 3990528 4071912 4074144 4101376 4187976 4203264 4205568 4294368 4323072 4345983 4375032 4413656 4432896 4469859 4486176 4556032 4580901 4583412 4610792 4614048 4711473 4728672 4731264 4739618 4742216 4860024 4863456 4921911 4965363 4998552 5011584 5125536 5154432 5187141 5285376 5334993 5429216 5432192 5467527 5571072 5583968 5604352 5623371 5638032 5651083 5725824 5764096 5794644 5798736 5819904 5833376 5959812 5981568 5985792 6107868 6111216 6152064 6277531 6281964 6304896 6308352 6441552 6456463 6480032 6484608 6562548 6620484 6649344 6664736 6682112 6729264 6744841 6834048 6872576 6916188 6921072 7109427 7113324 7290036 7492537 7497828 7517376 7634432 7688304 7706101 7726192 7731648 7928064 7946416 7975424 8143824 8148288 8202752 8375952 8406528 8588736 8646144 8691966 8750064 8827312 8939718 8972352 9112064 9161802 9166824 9221584 9228096 9422946 9457344 9462528 9479236 9484432 9720048 9726912 9843822 9930726 9997104 10023168 10251072 10308864 10374282 10570752 10669986 10858432 10864384 10935054 11142144 11167936 11246742 11276064 11302166 11451648 11589288 11597472 11639808 11666752 11919624 11963136 11971584 12215736 12222432 12304128 12555062 12563928 12609792 12616704 12883104 12912926 12960064 12969216 13037949 13125096 13240968 13298688 13329472 13364224 13409577 13458528 13489682 13668096 13745152 13832376 13842144 14218854 14226648 14580072 14896089 14985074 14995656 15034752 15268864 15376608 15412202 15452384 15463296 15561423 15856128 15892832 15950848 16004979 16287648 16296576 16405504 16751904 16813056 16953249 17177472 17292288 17383932 17500128 17654624 17866819 17879436 17944704 18224128 18323604 18333648 18376087 18443168 18456192 18832593 18845892 18914688 18925056 18958472 18968864 19369389 19440096 19453824 19687644 19861452 19994208 20046336 20234523 20502144 20617728 20748564 21328281 21339972 21716864 21728768 21870108 22335872 22477611 22493484 22552128 22604332 22903296 23118303 23178576 23194944 23333504 23839248 23926272 24431472 24444864 24608256 25110124 25127856 25219584 25766208 25825852 25920128 25938432 26075898 26250192 26481936 26658944 26819154 26917056 26979364 27336192 27664752 27684288 28437708 28453296 29160144 29792178 29970148 29991312 30069504 30753216 30824404 30904768 30926592 31122846 31712256 31785664 32009958 32575296 32593152 33503808 33906498 34354944 34767864 35000256 35309248 35733638 35758872 35889408 36647208 36667296 36752174 36886336 36912384 37665186 37691784 37829376 37850112 37916944 37937728 38738778 38880192 38907648 39375288 39722904 39988416 40092672 40469046 41004288 41235456 41497128 42656562 42679944 43433728 43457536 43740216 44671744 44955222 44986968 45104256 45208664 45806592 46236606 46357152 46389888 46667008 47678496 47852544 48862944 48889728 49216512 50220248 50255712 50439168 50859747 51532416 51651704 51840256 51876864 52151796 52500384 52963872 53317888 53600457 53638308 53834112 53958728 54672384 55128261 55329504 55368576 56497779 56875416 56906592 58108167 58320288 59584356 59940296 59982624 60139008 60703569 61506432 61648808 61809536 61853184 62245692 63571328 63984843 64019916 65150592 65186304 67007616 67432833 67812996 68709888 69354909 69535728 70000512 70618496 71467276 71517744 71778816 73294416 73334592 73464079 73504348 73772672 73824768 75330372 75383568 75658752 75833888 75875456 77477556 77760384 77815296 78750576 79445808 79976832 80938092 82008576 82994256 85313124 85359888 86867456 87480432 87682933 89343488 89910444 89973936 90208512 90417328 92473212 92714304 92779776 93334016 95356992 97725888 97779456 100440496 100511424 101719494 103064832 103303408 103680512 104303592 105000768 105927744 106635776 107200914 107276616 107668224 107917456 110256522 110659008 110737152 112995558 113750832 113813184 116216334 116640576 119168712 119880592 119965248 120278016 121407138 123012864 123297616 123619072 123706368 124491384 127142656 127969686 128039832 130301184 130372608 134015232 134865666 135625992 137419776 138709818 139071456 140001024 141236992 142934552 143035488 143557632 146588832 146669184 146928158 147008696 147545344 147649536 150660744 150767136 151317504 151667776 151750912 152579241 154955112 155520768 155630592 157501152 158891616 159953664 160801371 161876184 164017152 165384783 165988512 169493337 170626248 170719776 173734912 174324501 174960864 175365866 178686976 179820888 179947872 180417024 180834656 182110707 184946424 185428608 185559552 186668032 190713984 195451776 195558912 200880992 201022848 202298499 203438988 206129664 206606816 207361024 208064727 208607184 209090071 210001536 211855488 213271552 214401828 214553232 215336448 215834912 220392237 220513044 221318016 221474304 225991116 227501664 227626368 232268647 232432668 233281152 238337424 238889131 239761184 239930496 242814276 246025728 246595232 247238144 248982768 249559117 254285312 255939372 256079664 260602368 263048799 268030464 269731332 271251984 277419636 278142912 280002048 282473984 285869104 286070976 293177664 293338368 293856316 294017392 295090688 301321488 301534272 303335552 303501824 305158482 309910224 311041536 315002304 317783232 319907328 321602742 323752368 330769566 331977024 338986674 341252496 341439552 348649002 349921728 350731732 359641776 359895744 360834048 361669312 364221414 369892848 370857216 371119104 381427968 390903552 391117824 401761984 402045696 404596998 406877976 412259328 413213632 416129454 417214368 418180142 420003072 423710976 428803656 429106464 430672896 431669824 440784474 441026088 442636032 442948608 451982232 455003328 455252736 464537294 464865336 466562304 476674848 477778262 479522368 479860992 482404113 485628552 492051456 493190464 494476288 496154349 497965536 499118234 508570624 511878744 512159328 521204736 526097598 536060928 539462664 542503968 554839272 556285824 560004096 564947968 571738208 572141952 586355328 586676736 587712632 588034784 590181376 602642976 603068544 606671104 607003648 610316964 619820448 622083072 627270213 630004608 635566464 639814656 643205484 647504736 661176711 661539132 663954048 677973348 682504992 682879104 696805941 697298004 699843456 701463464 716667393 719283552 719791488 723338624 728442828 739785696 741714432 748677351 762855936 781807104 789146397 803523968 804091392 809193996 813755952 826427264 832258908 834428736 836360284 840006144 847421952 857607312 858212928 863339648 881568948 882052176 885272064 903964464 910006656 910505472 929074588 929730672 933124608 953349696 955556524 959044736 959721984 964808226 971257104 986380928 992308698 995931072 998236468 1023757488 1024318656 1052195196 1078925328 1085007936 1109678544 1112571648 1143476416 1144283904 1172710656 1173353472 1175425264 1176069568 1205285952 1206137088 1213342208 1220633928 1239640896 1254540426 1260009216 1271132928 1286410968 1295009472 1322353422 1323078264 1327908096 1355946696 1365009984 1365758208 1393611882 1394596008 1399686912 1402926928 1433334786 1438567104 1439582976 1446677248 1456885656 1479571392 1483428864 1497354702 1525711872 1563614208 1578292794 1607047936 1608182784 1618387992 1627511904 1652854528 1664517816 1668857472 1672720568 1680012288 1694843904 1715214624 1716425856 1726679296 1763137896 1764104352 1770544128 1807928928 1820013312 1821010944 1858149176 1859461344 1866249216 1881810639 1906699392 1911113048 1918089472 1919443968 1929616452 1942514208 1972761856 1983530133 1984617396 1991862144 1996472936 2047514976 2048637312 2090417823 2104390392 2150002179 2157850656 2170015872 2219357088 2225143296 2246032053 2286952832 2288567808 2345421312 2350850528 2352139136 2367439191 2410571904 2412274176 2426684416 2441267856 2479281792 2509080852 2520018432 2542265856 2572821936 2590018944 2644706844 2646156528 2655816192 2711893392 2718170923 2730019968 2731516416 2787223764 2789192016 2799373824 2805853856 2866669572 2877134208 2879165952 2893354496 2913771312 2959142784 2994709404 3156585588 3214095872 3236775984 3244268521 3255023808 3305709056 3329035632 3337714944 3345441136 3430429248 3432851712 3453358592 3526275792 3528208704 3615857856 3640026624 3716298352 3718922688 3763621278 3813398784 3822226096 3836178944 3859232904 3885028416 3945523712 3967060266 3969234792 3983724288 3992945872 4095029952 4097274624 4180835646 4208780784 4300004358 4315701312 4340031744 4438714176 4450286592 4492064106 4573905664 4577135616 4690842624 4701701056 4704278272 4734878382 4821143808 4824548352 4882535712 4958563584 5018161704 5040036864 5084531712 5145643872 5180037888 5289413688 5292313056 5311632384 5423786784 5436341846 5460039936 5463032832 5574447528 5578384032 5598747648 5611707712 5645431917 5733339144 5754268416 5758331904 5786708992 5827542624 5918285568 5989418808 6271253469 6313171176 6428191744 6450006537 6473551968 6488537042 6510047616 6611418112 6658071264 6675429888 6690882272 6738096159 6860858496 6865703424 6906717184 7052551584 7056417408 7231715712 7280053248 7432596704 7437845376 7527242556 7626797568 7644452192 7672357888 7718465808 7736332627 7770056832 7891047424 7934120532 7938469584 7967448576 7985891744 8154512769 8190059904 8194549248 8361671292 8417561568 8600008716 8631402624 8680063488 8877428352 8984128212 9147811328 9403402112 9408556544 9469756764 9642287616 9732805563 9765071424 9917127168 10036323408 10291287744 10360075776 10578827376 10584626112 10847573568 10872683692 10920079872 11148895056 11156768064 11223415424 11290863834 11466678288 11508536832 11655085248 11836571136 11978837616 12542506938 12626342352 12900013074 12947103936 12977074084 13020095232 13316142528 13350859776 13381764544 13476192318 13721716992 13731406848 14105103168 14112834816 14463431424 14865193408 14875690752 15054485112 15253595136 15288904384 15436931616 15472665254 15540113664 15868241064 15876939168 15934897152 15971783488 16309025538 16380119808 16389098496 16723342584 16835123136 17200017432 17262805248 17360126976 17754856704 17968256424 18295622656 18806804224 18817113088 18939513528 19284575232 19465611126 19530142848 19834254336 20072646816 20582575488 20720151552 21157654752 21169252224 21695147136 21745367384 21840159744 22297790112 22313536128 22446830848 22581727668 22933356576 23017073664 23208997881 23310170496 23673142272 23957675232 24463538307 25085013876 25252684704 25800026148 25894207872 25954148168 26040190464 26632285056 26763529088 26952384636 27443433984 28210206336 28225669632 28926862848 29198416689 29730386816 29751381504 30108970224 30577808768 30873863232 30945330508 31080227328 31736482128 31753878336 31943566976 32618051076 32760239616 33446685168 33670246272 34400034864 34525610496 35509713408 35936512848 37613608448 37879027056 38931222252 39060285696 40145293632 41165150976 42315309504 42338504448 43390294272 43490734768 44595580224 44627072256 44893661696 45163455336 45866713152 46417995762 46620340992 47915350464 48927076614 50170027752 50505369408 51600052296 51788415744 51908296336 52080380928 53264570112 53527058176 53904769272 54886867968 56420412672 56451339264 57853725696 58396833378 59460773632 59502763008 60217940448 61155617536 61747726464 61890661016 62160454656 63472964256 63507756672 63887133952 65236102152 65520479232 66893370336 67340492544 68800069728 69051220992 69626993643 71019426816 71873025696 73390614921 75227216896 75758054112 77862444504 78120571392 80290587264 82330301952 84630619008 84677008896 86780588544 86981469536 87595250067 89191160448 89254144512 89787323392 90326910672 91733426304 92835991524 93240681984 95830700928 97854153228 100340055504 100572324151 101010738816 103200104592 103576831488 103816592672 106529140224 107054116352 107809538544 112840825344 116793666756 118921547264 120435880896 122311235072 123495452928 123781322032 126945928512 127015513344 127774267904 130472204304 133786740672 134680985088 137600139456 139253987286 143746051392 146781229842 151516108224 155724889008 156241142784 160581174528 164660603904 169261238016 169354017792 173561177088 173962939072 175190500134 178382320896 178508289024 180653821344 183466852608 185671983048 186481363968 191661401856 195708306456 200680111008 201144648302 202021477632 206400209184 207153662976 207633185344 208880980929 213058280448 214108232704 215619077088 225681650688 233587333512 237843094528 240871761792 244622470144 246990905856 247562644064 253891857024 254031026688 255548535808 260944408608 267573481344 269361970176 275200278912 278507974572 287492102784 293562459684 301716972453 303032216448 311449778016 321162349056 338522476032 347925878144 350381000268 356764641792 361307642688 366933705216 371343966096 383322803712 391416612912 401360222016 402289296604 404042955264 412800418368 415266370688 417761961858 431238154176 467174667024 481743523584 493981811712 495125288128 507783714048 508062053376 521888817216 535146962688 550400557824 557015949144 574984205568 587124919368 603433944906 606064432896 622899556032 642324698112 677044952064 695851756288 700762000536 713529283584 722615285376 733867410432 742687932192 766645607424 782833225824 802720444032 804578593208 808085910528 825600836736 830532741376 835523923716 862476308352 905150917359 934349334048 963487047168 990250576256 1015567428096 1043777634432 1070293925376 1100801115648 1114031898288 1149968411136 1174249838736 1206867889812 1212128865792 1245799112064 1391703512576 1401524001072 1445230570752 1485375864384 1565666451648 1605440888064 1609157186416 1651201673472 1661065482752 1671047847432 1724952616704 1810301834718 1868698668096 1926974094336 1980501152512 2031134856192 2087555268864 2140587850752 2201602231296 2228063796576 2299936822272 2348499677472 2413735779624 2424257731584 2491598224128 2715452752077 2783407025152 2803048002144 2890461141504 2970751728768 3131332903296 3210881776128 3218314372832 3302403346944 3322130965504 3342095694864 3449905233408 3620603669436 3737397336192 3961002305024 4175110537728 4456127593152 4696999354944 4827471559248 4983196448256 5430905504154 5606096004288 5780922283008 5941503457536 6262665806592 6421763552256 6436628745664 6604806693888 6684191389728 6899810466816 7241207338872 7474794672384 7922004610048 8350221075456 8912255186304 9393998709888 9654943118496 9966392896512 10861811008308 11212192008576 11883006915072 12525331613184 12873257491328 13368382779456 14482414677744 14949589344768 17824510372608 18787997419776 19309886236992 21723622016616 22424384017152 23766013830144 25050663226368 25746514982656 26736765558912 28964829355488 29899178689536 35649020745216 37575994839552 38619772473984 43447244033232 44848768034304 51493029965312 53473531117824 57929658710976 71298041490432 75151989679104 77239544947968 86894488066464 89697536068608 102986059930624 106947062235648 115859317421952 154479089895936 173788976132928 213894124471296 231718634843904 308958179791872 347577952265856 463437269687808 695155904531712 926874539375616 1390311809063424 2780623618126848
- Sum of all divisors σ(n): 9452618400368640
- Sum of proper divisors (its aliquot sum) s(n): 6671994782241792
- 2780623618126848 is an abundant number, because the sum of its proper divisors (6671994782241792) is greater than itself. Its abundance is 3891371164114944
Bases of 2780623618126848
- Binary: 10011110000011110110011000110000001100110100000000002
- Hexadecimal: 0x9E0F663033400
- Base-36: RDNCUSNPC0
Squares and roots of 2780623618126848
- 2780623618126848 squared (27806236181268482) is 7731867705684843013408218415104
- 2780623618126848 cubed (27806236181268483) is 21499413954659519302435893766905516015791112192
-
The
square root of 2780623618126848 is 52731618.7702108003 -
The
cube root of 2780623618126848 is 140620.0999932455
Scales and comparisons
How big is 2780623618126848?- 2,780,623,618,126,848 seconds is equal to 88,415,230 years, 1 week, 1 day, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 2,780,623,618,126,848 would take you about two hundred sixty-five million, two hundred forty-five thousand, six hundred ninety 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 2780623618126848 cubic inches would be around 11718.3 feet tall.
Recreational maths with 2780623618126848
- 2780623618126848 backwards is 8486218163260872
- 2780623618126848 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2780623618126848'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 2780623618126848 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 2780623618126848 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/2780623618126848/
Chicago style:
Numbermatics. 2024. "Number 2780623618126848 - Facts about the integer". https://numbermatics.com/n/2780623618126848/
The information we have on file for 2780623618126848 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 2780623618126848, math, Factors of 2780623618126848, curriculum, school, college, exams, university, Prime factorization of 2780623618126848, STEM, science, technology, engineering, physics, economics, calculator, two quadrillion, seven hundred eighty trillion, six hundred twenty-three billion, six hundred eighteen million, one hundred twenty-six thousand, eight hundred forty-eight.