50677905573120
50,677,905,573,120 is an even composite number composed of eight prime numbers multiplied together.
50677905573120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 50677905573120:
28 × 3 × 5 × 73 × 29 × 31 × 127 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 29 × 31 × 127 × 337)See below for interesting mathematical facts about the number 50677905573120 from the Numbermatics database.
Names of 50677905573120
- Cardinal: 50677905573120 can be written as Fifty trillion, six hundred seventy-seven billion, nine hundred five million, five hundred seventy-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 5.067790557312 × 1013
Factors of 50677905573120
Divisors of 50677905573120
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 31 32 35 40 42 48 49 56 58 60 62 64 70 80 84 87 93 96 98 105 112 116 120 124 127 128 140 145 147 155 160 168 174 186 192 196 203 210 217 224 232 240 245 248 254 256 280 290 294 310 320 336 337 343 348 372 381 384 392 406 420 434 435 448 464 465 480 490 496 508 560 580 588 609 620 635 640 651 672 674 686 696 735 744 762 768 784 812 840 868 870 889 896 899 928 930 960 980 992 1011 1015 1016 1029 1085 1120 1160 1176 1218 1240 1270 1280 1302 1344 1348 1372 1392 1421 1470 1488 1519 1524 1568 1624 1680 1685 1715 1736 1740 1778 1792 1798 1856 1860 1905 1920 1960 1984 2022 2030 2032 2058 2170 2240 2320 2352 2359 2436 2480 2540 2604 2667 2688 2696 2697 2744 2784 2842 2940 2976 3038 3045 3048 3136 3248 3255 3360 3370 3430 3472 3480 3556 3596 3683 3712 3720 3810 3840 3920 3937 3968 4044 4060 4064 4116 4263 4340 4445 4480 4495 4557 4640 4704 4718 4872 4960 5055 5080 5145 5208 5334 5376 5392 5394 5488 5568 5684 5880 5952 6076 6090 6096 6223 6272 6293 6496 6510 6720 6740 6860 6944 6960 7077 7105 7112 7192 7366 7424 7440 7595 7620 7840 7874 7936 8088 8120 8128 8232 8526 8680 8890 8960 8990 9114 9280 9408 9436 9744 9773 9920 9947 10110 10160 10290 10416 10447 10633 10668 10784 10788 10976 11049 11136 11368 11760 11795 11811 11904 12152 12180 12192 12446 12544 12586 12992 13020 13335 13440 13480 13485 13720 13888 13920 14154 14210 14224 14384 14732 14880 15190 15240 15680 15748 16176 16240 16256 16464 16513 17052 17360 17780 17980 18228 18415 18560 18669 18816 18872 18879 19488 19546 19685 19840 19894 20220 20320 20580 20832 20894 21266 21315 21336 21568 21576 21952 22098 22272 22736 22785 23520 23590 23622 23808 24304 24360 24384 24892 25172 25781 25984 26040 26670 26880 26960 26970 27440 27559 27776 27840 28308 28420 28448 28768 29319 29464 29760 29841 30380 30480 31115 31341 31360 31465 31496 31899 32352 32480 32512 32928 33026 34104 34720 35385 35560 35960 36456 36830 37120 37338 37632 37744 37758 38976 39092 39370 39680 39788 40440 40640 41160 41664 41788 42532 42630 42672 42799 43136 43152 43561 43904 44051 44196 45472 45570 47040 47180 47244 48608 48720 48768 48865 49539 49735 49784 50344 51562 51968 52080 52235 53165 53340 53920 53940 54880 55118 55245 55552 55680 56616 56840 56896 57536 58638 58928 59055 59520 59682 60760 60960 62230 62682 62720 62930 62992 63798 64704 64960 65856 66052 68208 68411 69440 70770 71120 71920 72912 73129 73660 74676 75488 75516 77343 77952 78184 78740 79576 80880 81280 82320 82565 82677 83328 83576 85064 85260 85344 85598 86272 86304 87122 87808 88102 88392 90944 91140 93345 94080 94360 94395 94488 97216 97440 97536 97730 99078 99470 99568 100688 103124 104160 104470 106330 106680 107840 107880 109760 110236 110490 111360 113232 113680 113792 114173 115072 115591 117276 117856 118110 119040 119364 121520 121920 124460 125364 125860 125984 127596 128397 128905 129408 129920 130683 131712 132104 132153 136416 136822 137795 138880 141540 142240 143840 145824 146258 146595 147320 149205 149352 150976 151032 154686 155904 156368 156705 157480 159152 159495 161760 162560 164640 165130 165354 166656 167152 170128 170520 170688 171196 172608 174244 176204 176784 180467 181888 182280 186690 188160 188720 188790 188976 192913 194432 194880 195460 198156 198940 199136 201376 205233 206248 208320 208940 212660 213360 213995 215680 215760 217805 219387 219520 220255 220472 220980 226464 227360 227584 228346 230144 231182 234552 235712 236220 238728 243040 243840 247695 248920 250728 251720 251968 255192 256794 257810 258816 259840 261366 263424 264208 264306 272832 273644 275590 277760 283080 284480 287680 291648 292516 293190 294640 298410 298704 299593 301952 302064 302963 308357 309372 312736 313410 314960 318304 318990 323520 329280 330260 330708 334304 340256 341040 341376 342055 342392 342519 345216 346773 348488 352408 353568 360934 363776 364560 365645 373380 377440 377580 377952 385826 386715 388864 389760 390920 396312 397880 398272 402752 410466 412496 413385 416640 417880 425320 426720 427990 431360 431520 435610 438774 439040 440510 440944 441960 452928 454720 456692 462364 469104 471424 472440 477456 478877 486080 487680 495390 497840 501456 503440 503936 510384 511903 513588 515620 522732 528416 528612 541401 545664 547288 551180 566160 568960 570865 575360 577955 578739 583296 585032 586380 589280 596820 597408 599186 603904 604128 605926 616714 618744 625472 626820 629920 636608 637980 641985 647040 653415 658560 660520 660765 661416 668608 680512 682080 682752 684110 684784 685038 690432 693546 696976 704816 707136 721868 729120 731290 746760 754880 755160 755904 771652 773430 779520 781840 792624 795760 796544 799211 805504 820932 824992 826770 833280 835760 850640 853440 855980 863040 871220 877548 881020 881888 883920 898779 902335 905856 908889 909440 913384 924728 925071 938208 942848 944880 954912 957754 964565 972160 990780 995680 1002912 1006880 1007872 1020768 1023806 1026165 1027176 1031240 1045464 1056832 1057224 1082802 1091328 1094576 1096935 1102360 1132320 1137920 1141730 1150720 1155910 1157478 1166592 1170064 1172760 1178560 1193640 1194816 1198372 1208256 1211852 1233428 1237488 1241171 1250944 1253640 1259840 1263269 1273216 1275960 1283970 1294080 1306830 1317120 1321040 1321530 1322832 1326769 1337216 1350391 1361024 1364160 1368220 1369568 1370076 1387092 1393952 1409632 1414272 1436631 1443736 1458240 1462580 1493520 1497965 1509760 1510320 1511808 1514815 1535709 1541785 1543304 1546860 1563680 1585248 1591520 1593088 1598422 1611008 1641864 1649984 1653540 1671520 1701280 1706880 1711960 1712595 1726080 1733865 1742440 1755096 1762040 1763776 1767840 1797558 1804670 1811712 1817778 1818880 1826768 1849456 1850142 1876416 1889760 1909824 1915508 1929130 1944320 1981560 1991360 2005824 2013760 2041536 2047612 2052330 2054352 2062480 2090928 2097151 2113664 2114448 2120741 2165604 2189152 2193870 2204720 2264640 2283460 2311820 2314956 2340128 2345520 2357120 2387280 2389632 2394385 2396744 2397633 2416512 2423704 2466856 2474976 2482342 2501888 2507280 2519680 2526538 2546432 2551920 2559515 2567940 2613660 2642080 2643060 2645664 2653538 2674432 2700782 2707005 2722048 2728320 2736440 2739136 2740152 2774184 2787904 2819264 2828544 2873262 2887472 2893695 2916480 2925160 2987040 2995930 3019520 3020640 3023616 3029630 3071418 3083570 3086608 3093720 3127360 3170496 3183040 3196844 3283728 3299968 3307080 3343040 3352139 3402560 3413760 3423920 3425190 3452160 3467730 3484880 3510192 3524080 3527552 3535680 3583321 3595116 3609340 3635556 3653536 3698912 3700284 3723513 3752832 3779520 3789807 3819648 3831016 3858260 3963120 3980307 3982720 3996055 4011648 4027520 4051173 4083072 4095224 4104660 4108704 4124960 4181856 4194302 4227328 4228896 4241482 4331208 4378304 4387740 4409440 4493895 4529280 4544445 4566920 4623640 4625355 4629912 4680256 4691040 4714240 4774560 4779264 4788770 4793488 4795266 4833024 4847408 4933712 4949952 4964684 5014560 5039360 5053076 5103840 5119030 5135880 5227320 5284160 5286120 5291328 5307076 5401564 5414010 5456640 5472880 5478272 5480304 5548368 5575808 5594477 5638528 5746524 5774944 5787390 5832960 5850320 5974080 5991860 6041280 6059260 6142836 6167140 6173216 6187440 6205855 6254720 6291453 6316345 6340992 6362223 6366080 6393688 6567456 6599936 6614160 6633845 6686080 6704278 6751955 6805120 6847840 6850380 6935460 6969760 7020384 7048160 7055104 7071360 7166642 7183155 7190232 7218680 7271112 7307072 7397824 7400568 7447026 7505664 7559040 7579614 7639296 7662032 7678545 7716520 7926240 7960614 7965440 7992110 8023296 8055040 8102346 8166144 8190448 8209320 8217408 8249920 8363712 8388604 8457792 8482964 8662416 8688197 8756608 8775480 8818880 8987790 9058560 9088890 9133840 9247280 9250710 9259824 9287383 9360512 9382080 9549120 9577540 9586976 9590532 9694816 9867424 9899904 9929368 10029120 10056417 10106152 10207680 10238060 10271760 10454640 10485755 10568320 10572240 10582656 10603705 10614152 10749963 10803128 10828020 10945760 10956544 10960608 11096736 11151616 11188954 11277056 11493048 11549888 11574780 11700640 11948160 11983720 11988165 12082560 12118520 12285672 12334280 12346432 12374880 12411710 12509440 12582906 12632690 12681984 12724446 12732160 12787376 13134912 13228320 13267690 13372160 13408556 13503910 13610240 13695680 13700760 13870920 13939520 14040768 14096320 14142720 14333284 14366310 14380464 14437360 14542224 14614144 14680057 14795648 14801136 14845187 14894052 15118080 15159228 15324064 15357090 15433040 15852480 15921228 15984220 16204692 16380896 16418640 16434816 16499840 16727424 16760695 16777208 16783431 16915584 16965928 17324832 17376394 17513216 17550960 17637760 17916605 17975580 18177780 18267680 18494560 18501420 18519648 18574766 18617565 18721024 18764160 18949035 19098240 19155080 19173952 19181064 19389632 19734848 19799808 19858736 19901535 20058240 20112834 20212304 20255865 20415360 20476120 20543520 20909280 20971510 21136640 21144480 21165312 21207410 21228304 21499926 21606256 21656040 21891520 21921216 22193472 22377908 22986096 23099776 23149560 23401280 23896320 23967440 23976330 24165120 24237040 24571344 24668560 24692864 24749760 24823420 25165812 25265380 25448892 25574752 26064591 26269824 26456640 26535380 26817112 27007820 27391360 27401520 27741840 27862149 27879040 27972385 28081536 28192640 28666568 28732620 28760928 28874720 29084448 29228288 29360114 29591296 29602272 29690374 29788104 30318456 30648128 30714180 30866080 31457265 31704960 31811115 31842456 31968440 32409384 32761792 32837280 32869632 32999680 33454848 33521390 33554416 33566862 33831168 33931856 34649664 34752788 35101920 35275520 35833210 35951160 36355560 36535360 36989120 37002840 37039296 37149532 37235130 37528320 37898070 38196480 38310160 38347904 38362128 38476301 38779264 39161339 39469696 39717472 39803070 40116480 40225668 40424608 40511730 40830720 40952240 41087040 41818560 41943020 42288960 42414820 42456608 42999852 43212512 43312080 43440985 43783040 43842432 44040171 44386944 44535561 44755816 45972192 46199552 46299120 46436915 46802560 47934880 47952660 48474080 49142688 49337120 49385728 49499520 49646840 50282085 50331624 50530760 50897784 51149504 52129182 52539648 52913280 53070760 53634224 53749815 54015640 54782720 54803040 55483680 55724298 55758080 55944770 56163072 56385280 57333136 57465240 57521856 57749440 58168896 58720228 59204544 59380748 59576208 60636912 60817379 61296256 61428360 61732160 62914530 63409920 63622230 63684912 63936880 64818768 65011681 65523584 65674560 67042780 67108832 67133724 67863712 69299328 69505576 70203840 71666420 71902320 72711120 73070720 73400285 73978240 74005680 74078592 74225935 74299064 74470260 75796140 76620320 76695808 76724256 76952602 77558528 78322678 78939392 79434944 79606140 80451336 80849216 81023460 81904480 82174080 83637120 83886040 83917155 84577920 84829640 84913216 85999704 86425024 86624160 86881970 87566080 87684864 88080342 88773888 89071122 89511632 91944384 92598240 92873830 93605120 95869760 95905320 96948160 98285376 98674240 98999040 99293680 100564170 100663248 101061520 101795568 102299008 103916309 104258364 105826560 106141520 107268448 107499630 108031280 109606080 110967360 111448596 111889540 114666272 114930480 115043712 115428903 115498880 116337792 117440456 117484017 118409088 118761496 119152416 121273824 121634758 122592512 122856720 123464320 125829060 127244460 127369824 127873760 129637536 130023362 130322955 131047168 131349120 134085560 134217664 134267448 135727424 138598656 139011152 139310745 140407680 143332840 143804640 145422240 146141440 146800570 147956480 148011360 148157184 148451870 148598128 148940520 151592280 153240640 153448512 153905204 156645356 158869888 159212280 160902672 161698432 162046920 163808960 164348160 167274240 167772080 167834310 169155840 169659280 169826432 171999408 172850048 173248320 173763940 176160684 178142244 179023264 182452137 183888768 185196480 185747660 191739520 191810640 192381505 193896320 195035043 195806695 196570752 197348480 198587360 201128340 201326496 202123040 203591136 204598016 207832618 208516728 212283040 214536896 214999260 216062560 219212160 220200855 221934720 222677805 222897192 223779080 229332544 229860960 230087424 230857806 230997760 232675584 234880912 234968034 236818176 237522992 238304832 242547648 243269516 245713440 246928640 251658120 254488920 254739648 255747520 259275072 260046724 260645910 262698240 268171120 268435328 268534896 269334107 271454848 278022304 278621490 280815360 286665680 287609280 290844480 293601140 296022720 296903740 297196256 297881040 303184560 304086895 306481280 306897024 307810408 311748927 313290712 317739776 318424560 321805344 323396864 324093840 325058405 327617920 335544160 335668620 339318560 339652864 343998816 345700096 346496640 347527880 352321368 356284488 358046528 364904274 367777536 370392960 371495320 383479040 383621280 384763010 387792640 390070086 391613390 393141504 394696960 397174720 402256680 402652992 404246080 407182272 415665236 417033456 424566080 425721653 429073792 429998520 432125120 438424320 440401710 443869440 445355610 445794384 447558160 455081767 458665088 459721920 461715612 469761824 469936068 475045984 476609664 485095296 486539032 491426880 503316240 508977840 509479296 511495040 518550144 519581545 520093448 521291820 536342240 536870656 537069792 538668214 542909696 556044608 557242980 573331360 575218560 577144515 581688960 587202280 587420085 592045440 593807480 594392512 595762080 606369120 608173790 612962560 613794048 615620816 623497854 626581424 636849120 643610688 648187680 650116810 655235840 671088320 671337240 678637120 687997632 692993280 695055760 704642736 712568976 716093056 729808548 740785920 742990640 767242560 769526020 780140172 783226780 794349440 804513360 805305984 808002321 808492160 814364544 831330472 834066912 849132160 851443306 858147584 859997040 864250240 880803420 890711220 891588768 895116320 910163534 912260685 917330176 919443840 923431224 939523648 939872136 950091968 953219328 970190592 973078064 975175215 982853760 1006632480 1017955680 1018958592 1022990080 1037100288 1039163090 1040186896 1042583640 1072684480 1074139584 1077336428 1112089216 1114485960 1146662720 1150437120 1154289030 1163377920 1174404560 1174840170 1184090880 1187614960 1188785024 1191524160 1212738240 1216347580 1231241632 1246995708 1253162848 1273698240 1277164959 1287221376 1296375360 1300233620 1342176640 1342674480 1346670535 1357274240 1365245301 1375995264 1390111520 1409285472 1425137952 1432186112 1459617096 1485981280 1534485120 1539052040 1558744635 1560280344 1566453560 1588698880 1609026720 1610611968 1616004642 1616984320 1628729088 1662660944 1668133824 1698264320 1702886612 1719994080 1728500480 1761606840 1781422440 1783177536 1790232640 1820327068 1824521370 1838887680 1846862448 1879047296 1879744272 1885338749 1900183936 1946156128 1950350430 1965707520 2013264960 2035911360 2078326180 2080373792 2085167280 2128608265 2145368960 2148279168 2154672856 2224178432 2228971920 2275408835 2293325440 2308578060 2348809120 2349680340 2375229920 2377570048 2383048320 2425476480 2432695160 2462483264 2493991416 2506325696 2547396480 2554329918 2574442752 2592750720 2600467240 2684353280 2685348960 2693341070 2714548480 2730490602 2751990528 2780223040 2818570944 2850275904 2919234192 2971962560 3068970240 3078104080 3117489270 3120560688 3132907120 3218053440 3232009284 3325321888 3336267648 3405773224 3439988160 3523213680 3562844880 3566355072 3580465280 3640654136 3649042740 3693724896 3758094592 3759488544 3770677498 3800367872 3892312256 3900700860 4026529920 4040011605 4071822720 4156652360 4160747584 4170334560 4257216530 4290737920 4296558336 4309345712 4457943840 4550817670 4586650880 4617156120 4697618240 4699360680 4750459840 4766096640 4850952960 4865390320 4924966528 4987982832 5012651392 5094792960 5108659836 5185501440 5200934480 5370697920 5386682140 5460981204 5560446080 5637141888 5656016247 5700551808 5838468384 5943925120 6156208160 6234978540 6241121376 6265814240 6385824795 6436106880 6464018568 6650643776 6672535296 6811546448 6826226505 6879976320 7046427360 7125689760 7132710144 7160930560 7281308272 7298085480 7387449792 7518977088 7541354996 7784624512 7801401720 8053059840 8080023210 8143645440 8313304720 8321495168 8340669120 8514433060 8618691424 8915887680 9101635340 9234312240 9395236480 9398721360 9426693745 9500919680 9730780640 9849933056 9975965664 10025302784 10217319672 10401868960 10741395840 10773364280 10921962408 11120892160 11274283776 11312032494 11401103616 11676936768 11887850240 12312416320 12469957080 12482242752 12531628480 12771649590 12872213760 12928037136 13197371243 13301287552 13623092896 13652453010 13759952640 14092854720 14251379520 14562616544 14596170960 14774899584 15037954176 15082709992 15569249024 15602803440 16160046420 16626609440 16642990336 16681338240 17028866120 17237382848 17831775360 18203270680 18468624480 18790472960 18797442720 18853387490 19001839360 19461561280 19951931328 20434639344 20803737920 21482791680 21546728560 21843924816 22624064988 23353873536 24624832640 24939914160 24964485504 25063256960 25543299180 25856074272 26394742486 26602575104 27246185792 27304906020 28185709440 28280081235 28502759040 29125233088 29192341920 29549799168 30075908352 30165419984 31205606880 32320092840 33253218880 33362676480 34057732240 34474765696 35663550720 36406541360 36937248960 37594885440 37706774980 38923122560 39592113729 39903862656 40869278688 41607475840 43093457120 43687849632 45248129976 46707747072 49249665280 49879828320 49928971008 50126513920 51086598360 51712148544 52789484972 54492371584 54609812040 56371418880 56560162470 57005518080 58250466176 58384683840 60330839968 62411213760 64640185680 65986856215 66506437760 68115464480 68949531392 72813082720 73874497920 75189770880 75413549960 77846245120 79184227458 79807725312 81738557376 83214951680 86186914240 87375699264 90496259952 99759656640 102173196720 103424297088 105578969944 108984743168 109219624080 113120324940 116500932352 116769367680 120661679936 124822427520 129280371360 131973712430 133012875520 136230928960 145626165440 147748995840 150379541760 150827099920 158368454916 163477114752 172373828480 174751398528 180992519904 197960568645 199519313280 204346393440 206848594176 211157939888 218439248160 226240649880 233538735360 241323359872 249644855040 258560742720 263947424860 272461857920 291252330880 301654199840 316736909832 326954229504 344747656960 349502797056 361985039808 395921137290 399038626560 408692786880 422315879776 436878496320 452481299760 482646719744 517121485440 527894849720 544923715840 582504661760 603308399680 633473819664 723970079616 791842274580 817385573760 844631759552 873756992640 904962599520 1034242970880 1055789699440 1206616799360 1266947639328 1447940159232 1583684549160 1634771147520 1689263519104 1747513985280 1809925199040 2111579398880 2413233598720 2533895278656 3167369098320 3378527038208 3619850398080 4223158797760 5067790557312 6334738196640 7239700796160 8446317595520 10135581114624 12669476393280 16892635191040 25338952786560 50677905573120
- Sum of all divisors σ(n): 203746443264000
- Sum of proper divisors (its aliquot sum) s(n): 153068537690880
- 50677905573120 is an abundant number, because the sum of its proper divisors (153068537690880) is greater than itself. Its abundance is 102390632117760
Bases of 50677905573120
- Binary: 10111000010111010111101000111101000101000000002
- Hexadecimal: 0x2E175E8F4500
- Base-36: HYP3WIHHC
Squares and roots of 50677905573120
- 50677905573120 squared (506779055731202) is 2568250113278067155666534400
- 50677905573120 cubed (506779055731203) is 130153536728860630820414690258036195328000
-
The
square root of 50677905573120 is 7118841.5892699847 -
The
cube root of 50677905573120 is 37006.0631829301
Scales and comparisons
How big is 50677905573120?- 50,677,905,573,120 seconds is equal to 1,611,400 years, 33 weeks, 2 days, 32 minutes.
-
To count from 1 to 50,677,905,573,120 would take you about four million, twenty-eight thousand, five hundred one 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 50677905573120 cubic inches would be around 3083.8 feet tall.
Recreational maths with 50677905573120
- 50677905573120 backwards is 02137550977605
- The number of decimal digits it has is: 14
- The sum of 50677905573120's digits is 57
- 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 50677905573120 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 50677905573120 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/50677905573120/
Chicago style:
Numbermatics. 2024. "Number 50677905573120 - Facts about the integer". https://numbermatics.com/n/50677905573120/
The information we have on file for 50677905573120 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 50677905573120, math, Factors of 50677905573120, curriculum, school, college, exams, university, Prime factorization of 50677905573120, STEM, science, technology, engineering, physics, economics, calculator, fifty trillion, six hundred seventy-seven billion, nine hundred five million, five hundred seventy-three thousand, one hundred twenty.