331645559078176686
331,645,559,078,176,686 is an even composite number composed of eight prime numbers multiplied together.
331645559078176686 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 331645559078176686:
2 × 32 × 7 × 192 × 312 × 592 × 732 × 409
(2 × 3 × 3 × 7 × 19 × 19 × 31 × 31 × 59 × 59 × 73 × 73 × 409)See below for interesting mathematical facts about the number 331645559078176686 from the Numbermatics database.
Names of 331645559078176686
- Cardinal: 331645559078176686 can be written as Three hundred thirty-one quadrillion, six hundred forty-five trillion, five hundred fifty-nine billion, seventy-eight million, one hundred seventy-six thousand, six hundred eighty-six.
Scientific notation
- Scientific notation: 3.31645559078176686 × 1017
Factors of 331645559078176686
Divisors of 331645559078176686
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 31 38 42 57 59 62 63 73 93 114 118 126 133 146 171 177 186 217 219 266 279 342 354 361 399 409 413 434 438 511 531 558 589 651 657 722 798 818 826 961 1022 1062 1083 1121 1178 1197 1227 1239 1302 1314 1387 1533 1767 1829 1922 1953 2166 2242 2263 2394 2454 2478 2527 2774 2863 2883 3066 3249 3363 3481 3534 3658 3681 3717 3906 4123 4161 4307 4526 4599 5054 5301 5329 5487 5726 5766 6498 6726 6727 6789 6962 7362 7434 7581 7771 7847 8246 8322 8589 8614 8649 9198 9709 10089 10443 10602 10658 10974 11191 12369 12483 12679 12803 12921 13454 13578 15162 15542 15694 15841 15987 16461 17178 17298 18259 19418 20178 20181 20367 20886 21299 22382 22743 23313 23541 24131 24367 24738 24966 25358 25606 25767 25842 26353 29127 29857 30149 31329 31682 31974 32922 33573 34751 36518 37107 37303 38037 38409 38763 40362 40734 42598 42997 45486 46626 47082 47523 47961 48262 48734 51534 52706 54397 54777 56699 58254 59714 60298 60543 62658 63897 66139 67146 69502 69939 70153 70623 72393 73101 74214 74606 76074 76818 77526 78337 79059 81833 85994 87381 88753 89571 90447 95046 95922 100719 101251 104253 107911 108794 109554 111909 113398 114111 115227 121086 127794 127813 128991 132278 133517 139878 140306 141246 142569 144786 146202 147649 149093 156674 158118 163191 163666 164331 165199 168917 170097 174762 177506 179142 180894 184471 191691 198417 201438 202502 208506 208999 210459 215822 217179 219303 223818 228222 230454 235011 237177 240901 243257 245499 254113 255626 257982 266259 267034 268713 271341 285138 295298 298186 300979 303753 312759 314411 323733 326382 328662 330398 335727 337834 340194 346921 368942 383382 383439 386973 393049 396834 396893 400551 417998 420918 434358 438606 442947 447279 458489 462973 470022 474354 481802 486514 489573 490998 491071 495597 506751 508226 510291 532518 537426 542682 553413 567283 572831 595251 601958 607506 625518 626997 628822 631377 647466 660269 671454 693842 705033 708757 722703 729771 736497 748061 755377 762339 766878 773946 786098 793786 798777 801102 816943 885894 894558 902937 911259 916978 925567 925946 934619 943233 971199 979146 982142 991194 1013502 1020582 1033543 1040763 1077281 1106826 1134566 1145662 1150317 1156393 1179147 1190502 1190679 1201653 1253994 1256641 1262754 1320538 1328841 1332907 1341837 1375467 1388919 1410066 1417514 1423729 1445406 1459542 1472994 1473213 1486791 1496122 1510754 1520253 1524678 1554827 1597554 1633886 1660239 1686307 1701849 1718493 1761563 1778791 1805874 1822518 1851134 1869238 1880991 1886466 1923769 1942398 1980807 2050309 2067086 2081526 2126271 2154562 2168109 2179561 2189313 2200877 2244183 2266131 2287017 2300634 2312786 2358294 2381358 2403306 2428447 2450829 2513282 2536823 2657682 2665814 2683674 2708811 2750934 2751343 2776701 2777838 2803857 2829699 2847458 2946426 2973582 3040506 3100629 3109654 3122289 3138781 3209423 3231843 3320478 3345241 3372614 3403698 3436986 3469179 3523126 3537441 3557582 3572037 3761982 3769923 3847538 3961614 3970981 3998721 4100618 4126401 4139027 4166757 4252542 4271187 4336218 4359122 4378626 4401754 4419639 4488366 4532262 4574034 4577119 4621883 4664481 4828147 4856894 4901658 5058921 5073646 5105547 5121169 5155479 5236427 5284689 5336373 5417622 5502686 5553402 5607714 5659398 5718601 5771307 5942421 5973809 6150927 6201258 6244578 6277562 6378813 6418846 6463686 6478969 6538683 6602631 6690482 6732549 6798393 6938358 7074882 7144074 7285341 7352487 7467931 7539846 7540967 7610469 7877503 7941962 7997442 8252802 8254029 8278054 8330103 8333514 8411571 8542374 8711291 8796487 8839278 9154238 9243766 9301887 9328962 9330349 9416343 9628269 9656294 9695529 9746741 9966103 10035723 10117842 10211094 10242338 10310958 10407537 10472854 10569378 10672746 10778377 10883789 11309769 11437202 11542614 11884842 11912943 11947618 11996163 12301854 12330941 12417081 12757626 12813561 12957938 13077366 13205262 13465098 13466383 13596786 13731357 13865649 13993443 14213159 14352163 14484441 14570682 14704974 14935862 15081934 15176763 15220938 15256927 15363507 15709281 15755006 15854067 16009119 16508058 16660206 16823142 17155803 17313921 17422582 17585773 17592974 17757761 17921427 18452781 18550249 18603774 18660698 18832686 19256538 19391058 19436907 19493482 19616049 19807893 19932206 20071446 20468339 20815074 21556754 21767578 21856023 21971467 22403793 22619538 22622901 22831407 23189891 23416687 23632509 23825886 23992326 24661882 24762087 24834162 25325233 25627122 26133873 26389461 26932766 27050851 27462714 27731298 27986886 27991047 28249029 28426318 28692577 28704326 28884807 28968882 28973189 29240223 29898309 30107169 30353526 30513854 30727014 31418562 31708134 32018238 32039833 32335131 32651367 33469697 33797029 34311606 34627842 35171546 35515522 35738829 35842854 35848183 36905562 36992823 37100498 37251243 38873814 38955871 39232098 39615786 40399149 40936678 41194071 41411659 41596947 41816663 42639477 43056489 43453323 43712046 43942934 44135599 44807586 45245802 45662814 45770781 46090521 46379782 46833374 47127843 47265018 48199637 49524174 50650466 51467409 52267746 52275517 52757319 52778922 53273283 53764281 54101702 54608453 55142521 55650747 55982094 56498058 57385154 57769614 57946378 58310721 58480446 59636839 59796618 60214338 60979037 61405017 63559579 64079666 64670262 65302734 65914401 66939394 67211379 67566391 67594058 67868703 68227187 69569673 70250061 70897527 71477658 71696366 73985646 74502486 75448639 75975699 77911742 78401619 78641513 79168383 80798298 81152553 82388142 82823318 83193894 83633326 83973141 85278954 86077731 86112978 86906646 86919567 87720669 88271198 89694927 91541562 91734793 92181042 94255686 96119499 96399274 97005393 97302211 97954101 99492113 100409091 101391087 102934818 103932217 104551034 105514638 106546566 107528562 107544549 109216906 110285042 110978469 111301494 113502371 116621442 116867613 119273678 121197447 121958074 122810034 123100411 124234977 125449989 127119158 127918431 128594099 129169467 129851743 131828802 132406797 134422758 135132782 135737406 136454374 137312343 139139346 140500122 141795054 141890689 143278373 144598911 149672557 150897278 151951398 156803238 156826551 157283026 158271957 158336766 159819849 162305106 162329237 163825359 165427563 166952241 167946282 172155462 173839134 175441338 177276631 178910517 179389854 182937111 183469586 184215051 185188079 189355957 190678737 192238998 194010786 194604422 195908202 197743203 198984226 200818182 200848039 202699173 202782174 204681561 207864434 208709019 210750183 215089098 221956938 226345917 227004742 227927097 233735226 234287879 235924539 242394894 243457659 244202593 246200822 248469954 250899978 255836862 257188198 258233193 258338934 259703486 260758701 264813594 270050021 272691097 274624686 275204379 283781378 286556746 288358497 289197822 289881613 291906633 298476339 299345114 301227273 302148971 304173261 308949193 311796651 313653102 316543914 319639698 322633647 324658474 327650718 330855126 333904482 334129687 337397459 340507113 350602839 352454731 354553262 357821034 365874222 368430102 369301233 370376158 372704931 376349967 378711914 381357474 382259171 385782297 389555229 395486406 397220391 401696078 405398346 409363122 417418038 417457873 421500366 425672067 429835119 433796733 440607929 444917053 449017671 452691834 455854194 468575758 470479653 471849078 472964737 486915318 486987711 488405186 491476077 496282689 513966169 516466386 521517402 531829893 536731551 540100042 545158963 545382194 548811333 550408758 550490591 555564237 568067871 572036211 575057719 576716994 579763226 583813266 596952678 602454546 602544117 604297942 608097519 608346522 614044683 617898386 623593302 635924243 642143551 645267294 668259374 674794918 679037751 681014226 681115477 701205678 702863637 704909462 707773617 727525519 732607779 738602466 745409862 752699934 764518342 771564594 779110458 786821521 794440782 794516597 810150063 818073291 825613137 834915746 838576381 851344134 859670238 867593466 869644839 875719899 881215858 889834106 895429017 898035342 900158693 906446913 926847579 935389953 940959306 945929474 973975422 982952154 992565378 993234823 1002389061 1012192377 1021521339 1027932338 1037560607 1047707899 1057364193 1063659786 1073463102 1090317926 1097622666 1100981182 1107903699 1111128474 1136135742 1144072422 1146777513 1150115438 1157346891 1168665687 1205088234 1207632001 1216195038 1228089366 1252373619 1271848486 1277016201 1283761429 1284287102 1289505357 1296316553 1321823787 1334751159 1347053013 1358075502 1362230954 1368203569 1405727274 1415547234 1418894211 1455051038 1460963133 1465215558 1494188747 1541898507 1573643042 1589033194 1595489679 1620300126 1635476889 1636146582 1651226274 1651471773 1666692711 1677152762 1692862043 1704203613 1709418151 1725173157 1739289678 1751439798 1790858034 1800317386 1807632351 1812893826 1848742009 1853695158 1870779906 1890350147 1907772729 1926430653 1974712123 1986469646 2004778122 2024384754 2043042678 2043346431 2075121214 2094558121 2095415798 2108590911 2114728386 2115042797 2182576557 2197823337 2215807398 2293555026 2314693782 2337331374 2338907809 2360464563 2383549791 2415264002 2430450189 2443287881 2454219873 2467183117 2504747238 2515729143 2554032402 2567522858 2579010714 2592633106 2608934517 2643647574 2669502318 2694106026 2700476079 2719340739 2736407138 2780542737 2837788422 2843778583 2921926266 2979704469 2988377494 3007167183 3036577131 3083797014 3084255503 3112681821 3143123697 3172092579 3190979358 3221898727 3270953778 3302943546 3333385422 3385724086 3408407226 3418836302 3440332539 3450346314 3518573501 3597763183 3615264702 3622896003 3697484018 3757120857 3780700294 3815545458 3816112741 3851284287 3852861306 3888949659 3949424246 3965471361 3986417069 4004253477 4025404033 4086692862 4104610707 4189116242 4217181822 4230085594 4256682633 4365153114 4395646674 4451469701 4482566241 4625695521 4639849267 4677815618 4720929126 4767099582 4860900378 4886575762 4906430667 4908439746 4934366234 4954415319 5031458286 5078586129 5128254453 5175519471 5217869034 5400952158 5438681478 5507750647 5546226027 5561085474 5671050441 5687557166 5723318187 5740830449 5779291959 5870034667 5924136369 5959408938 6014334366 6073154262 6130039293 6168511006 6225363642 6283674363 6286247394 6344185158 6345128391 6443797454 6547729671 6696639889 6880665078 7016723427 7037147002 7081393689 7150649373 7195526366 7245792006 7262924249 7329863643 7401549351 7514241714 7547187429 7587051841 7632225482 7702568574 7777899318 7930942722 7972834138 8008506954 8050808066 8101428237 8209221414 8371550651 8453424007 8513365266 8531335749 8902939402 8939113407 8965132482 8986330003 9251391042 9252766509 9279698534 9338045463 9429371091 9577424983 9665696181 9812861334 9908830638 10157172258 10256508906 10351038942 10358020297 10459321229 10555720503 10793289549 10868688009 10926096661 11015501294 11092452054 11342100882 11446636374 11448338223 11481660898 11553852861 11558583918 11666848977 11740069334 11848272738 11850034301 11959251207 12076212099 12260078586 12313832121 12567348726 12690256782 12941194063 13095459342 13354409103 13393279778 13447698723 13822984861 13919547801 14033446854 14162787378 14301298746 14525848498 14659727286 14661906847 14803098702 15094374858 15174103682 15235758387 15384763359 15932951239 16202856474 16523251941 16638678081 16743101302 16906848014 17013151323 17062671498 17103015167 17222491347 17610104001 17772409107 17826789289 17878226814 17972660006 18505533018 18676090926 18851023089 18858742182 19035385173 19154849966 19331392362 19713651533 19906450081 20089919667 20716040594 20918642458 21050170281 21111441006 21586579098 21737376018 21788772747 21852193322 21989590929 22204648053 22553291089 22761155523 22896676446 23107705722 23333697954 23700068602 23918502414 24152424198 24391467151 24627664242 24630014507 25114651953 25360272021 25594007247 25882388126 25995867811 26708818206 26895397446 26958990009 27645969722 27758299527 27839095602 27904919483 28732274949 28997088543 29323813694 30471516774 30769526718 31074060891 31377963687 31667161509 31865902478 32164378817 32379868647 32478944869 32778289983 33046503882 33277356162 34026302646 34206030334 34345014669 34444982694 35220208002 35544818214 35550102903 35653578578 35877753621 36228636297 37519530337 37702046178 38070770346 38823582189 39427303066 39796604299 39812900162 40063227309 40179839334 40185813143 41468954583 41758643403 42100340562 43577545494 43979181858 43985720541 44409296106 45106582178 45522311046 46422469739 46876479223 47798853717 48782934302 49260029014 49569755823 50229303906 50720544042 51188014494 51309045501 51667474041 51991735622 52830312003 53109362887 53480367867 53917980018 55516599054 55809838966 57464549898 57994177086 58600854557 59140954599 59719350243 60269759001 61216075813 62148121782 62755927374 63334323018 64328757634 64759737294 64957889738 65366318241 65556579966 67659873267 68283466569 68690029338 71100205806 71755507242 72457272594 72506142079 73174401453 73890043521 75039060674 75343955859 75741924311 76080816063 76482676627 77647164378 77987603433 79593208598 80126454618 80371626286 80876970027 82937909166 83517286806 83714758449 86196824847 87971441082 88157136073 92844939478 93222182673 93752958446 94133891061 95597707434 96493136451 97436834607 98334869949 99139511646 99878860537 102618091002 103334948082 105660624006 106218725774 106650308709 106960735734 109075778531 111530658673 112558591011 116470746567 117201709114 118281909198 119389812897 119438700486 120539518002 120557439429 122432151626 123578929139 124406863749 124787525023 130732636482 131957161623 135319746534 136566933138 137995560731 139267409217 140629437669 143396561151 144153984979 145012284158 146348802906 147780087042 150687911718 151483848622 152161632126 152965353254 153927136503 155975206866 159328088661 160441103601 161753940054 167429516898 170740270057 172393649694 175802563671 176314272146 177422863797 179158050729 181971074677 183648227439 186444365346 188267782122 192986272902 194873669214 196669739898 199757721074 202979619801 207595836559 213300617418 217518426237 218151557062 219523204359 221670130563 223061317346 225117182022 225150651719 227225772933 229448029881 232941493134 233962810299 235198607071 238779625794 241114878858 247157858278 248813727498 249575050046 251144275347 262636712359 263914323246 264471408219 275991121462 278534818434 278576230093 281258875338 286793122302 288307969958 289479409353 292310503821 299636581611 307854273006 318656177322 320882207202 324957288173 327227335593 334591976019 337675773033 338708996491 341480540114 351605127342 354845727594 358169438691 358316101458 361672318287 363942149354 367296454878 370736787417 374362575069 405959239602 413986682193 415191673118 417802227651 421888313007 428512530691 432461954937 435036852474 439046408718 443340261126 450301303438 454451545866 458896059762 467925620598 470397214142 477984265983 493921488409 502288550694 512220810171 525273424718 527407691013 528942816438 530193470177 545913224031 550944682317 557152460186 578958818706 584621007642 599273163222 611123197523 617099952511 622787509677 649914576346 652555278711 654454671186 669183952038 675351546066 675451955157 677417992982 681677318799 688344089643 699152023759 705595821213 716338877382 723344636574 741473574834 748725150138 756135481681 763530449717 787910137077 793414224657 827973364386 835604455302 835728690279 843776626014 857025061382 864923909874 865052503973 898909744833 955968531966 974871864519 981682006779 987842976818 1003775928057 1009077894853 1016126989473 1024441620342 1054815382026 1060386940354 1091826448062 1101889364634 1112210362251 1123087725207 1163105440447 1222246395046 1234199905022 1241960046579 1245575019354 1285537592073 1297385864811 1305110557422 1350903910314 1363354637598 1376688179286 1398304047518 1411191642426 1439096561909 1453170855913 1481764465227 1512270963362 1527060899434 1536662430513 1575820274154 1586828449314 1590580410531 1637739672093 1646390249497 1671457380558 1730105007946 1797819489666 1833369592569 1851299857533 1868362529031 1897698350203 1949743729038 1963364013558 2007551856114 2018155789706 2026355865471 2032253978946 2097456071277 2116787463639 2224420724502 2246175450414 2268406445043 2290591349151 2326210880894 2347999653641 2363730411231 2370962975437 2483920093158 2507186070837 2571075184146 2594771729622 2595157511919 2738925714601 2878193123818 2906341711826 2924615593557 2963528930454 3027233684559 3048380968419 3073324861026 3181160821062 3275479344186 3292780498994 3457450418863 3489316321341 3666739185138 3702599715066 3736725058062 3795396700406 3856612776219 4052711730942 4194912142554 4233574927278 4277862382661 4317289685727 4359512567739 4445293395681 4468773534349 4536812890086 4581182698302 4695999307282 4727460822462 4741925950874 4771741231593 4939170748491 5014372141674 5190315023838 5292948371767 5477851429202 5500108777707 5553899572599 5693095050609 5849231187114 6054467369118 6096761936838 6292368213831 6435470933329 6805219335129 6871774047453 6914900837726 6978632642682 7043998960923 7112888926311 7291156819201 7713225552438 7785472535757 8141738083129 8216777143803 8555724765322 8634579371454 8719025135478 8890586791362 8937547068698 9081701053677 9543482463186 9878341496982 10073675933363 10372351256589 10467948964023 10585896743534 11000217555414 11107799145198 11386190101218 12584736427662 12833587147983 12870941866658 12951869057181 13078537703217 13283888451421 13406320603047 13610438670258 13743548094906 14087997921846 14225777852622 14582313638402 14817512245473 15570945071514 15878845115301 16283476166258 16433554287606 16435997575487 17079285151827 18163402107354 19172480002207 19306412799987 20147351866726 20744702513178 20935897928046 21131996882769 21338666778933 21873470457603 24425214249387 24650331431409 25667174295966 25903738114362 26157075406434 26567776902842 26812641206094 29635024490946 30221027800089 31117053769767 31281414740443 31757690230602 32871995150974 34158570303654 36056268653857 38344960004414 38500761443949 38612825599974 39851665354263 40218961809141 42263993765538 42677333557866 43746940915206 44611993419179 45048296533303 47636535345903 48850428498774 49300662862818 49307992726461 51038097734407 57517440006621 57919238399961 60442055600178 62234107539534 62562829480886 65620411372809 72112537307714 73275642748161 77001522887898 79703330708526 80437923618282 84906697152631 89223986838358 90096593066606 90663083400267 93844244221329 95273070691806 98615985452922 102076195468814 108168805961571 115034880013242 115838476799922 119554996062789 131240822745618 133835980257537 135144889599909 138531979564819 146551285496322 147923978179383 153114293203221 169813394305262 172552320019863 181326166800534 187688488442658 216337611923142 239109992125578 252393880576999 254720091457893 267671960515074 270289779199818 277063959129638 281532732663987 295847956358766 306228586406442 312283953934253 324506417884713 345104640039726 401507940772611 405434668799727 415595938694457 459342879609663 504787761153998 509440182915786 563065465327974 594346880068417 624567907868506 649012835769426 757181641730997 764160274373679 803015881545222 810869337599454 831191877388914 918685759219326 936851861802759 969723856953733 1188693760136834 1246787816083371 1514363283461994 1528320548747358 1783040640205251 1873703723605518 1939447713907466 2271544925192991 2493575632166742 2632107611731561 2810555585408277 2909171570861199 3566081280410502 4543089850385982 5264215223463122 5349121920615753 5621111170816554 5818343141722398 7896322835194683 8727514712583597 10698243841231506 15792645670389366 17455029425167194 18424753282120927 23688968505584049 36849506564241854 47377937011168098 55274259846362781 110548519692725562 165822779539088343 331645559078176686
- Sum of all divisors σ(n): 925920222127739280
- Sum of proper divisors (its aliquot sum) s(n): 594274663049562594
- 331645559078176686 is an abundant number, because the sum of its proper divisors (594274663049562594) is greater than itself. Its abundance is 262629103971385908
Bases of 331645559078176686
- Binary: 100100110100011110111100000111111000011000011000111101011102
- Hexadecimal: 0x49A3DE0FC30C7AE
- Base-36: 2IPIJEJKK8FI
Squares and roots of 331645559078176686
- 331645559078176686 squared (3316455590781766862) is 109988776856276382464586542233942596
- 331645559078176686 cubed (3316455590781766863) is 36477289392824601592782787384202889256379832869516856
-
The
square root of 331645559078176686 is 575886758.9015888165 -
The
cube root of 331645559078176686 is 692189.0563711761
Scales and comparisons
How big is 331645559078176686?- 331,645,559,078,176,686 seconds is equal to 10,545,302,931 years, 32 weeks, 12 hours, 38 minutes, 6 seconds.
-
To count from 1 to 331,645,559,078,176,686 would take you about thirty-one billion, six hundred thirty-five million, nine hundred eight thousand, seven hundred ninety-four 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 331645559078176686 cubic inches would be around 57682.4 feet tall.
Recreational maths with 331645559078176686
- 331645559078176686 backwards is 686671870955546133
- The number of decimal digits it has is: 18
- The sum of 331645559078176686's digits is 90
- 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 331645559078176686 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 331645559078176686 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/331645559078176686/
Chicago style:
Numbermatics. 2024. "Number 331645559078176686 - Facts about the integer". https://numbermatics.com/n/331645559078176686/
The information we have on file for 331645559078176686 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 331645559078176686, math, Factors of 331645559078176686, curriculum, school, college, exams, university, Prime factorization of 331645559078176686, STEM, science, technology, engineering, physics, economics, calculator, three hundred thirty-one quadrillion, six hundred forty-five trillion, five hundred fifty-nine billion, seventy-eight million, one hundred seventy-six thousand, six hundred eighty-six.