50131760585760
50,131,760,585,760 is an even composite number composed of nine prime numbers multiplied together.
50131760585760 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 50131760585760:
25 × 32 × 5 × 7 × 17 × 19 × 97 × 181 × 877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 19 × 97 × 181 × 877)See below for interesting mathematical facts about the number 50131760585760 from the Numbermatics database.
Names of 50131760585760
- Cardinal: 50131760585760 can be written as Fifty trillion, one hundred thirty-one billion, seven hundred sixty million, five hundred eighty-five thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 5.013176058576 × 1013
Factors of 50131760585760
Divisors of 50131760585760
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 28 30 32 34 35 36 38 40 42 45 48 51 56 57 60 63 68 70 72 76 80 84 85 90 95 96 97 102 105 112 114 119 120 126 133 136 140 144 152 153 160 168 170 171 180 181 190 194 204 210 224 228 238 240 252 255 266 272 280 285 288 291 304 306 315 323 336 340 342 357 360 362 380 388 399 408 420 456 476 480 485 504 510 532 543 544 560 570 582 595 608 612 630 646 665 672 679 680 684 714 720 724 760 765 776 798 816 840 855 873 877 905 912 952 969 970 1008 1020 1064 1071 1086 1120 1140 1164 1190 1197 1224 1260 1267 1292 1330 1358 1360 1368 1428 1440 1448 1455 1520 1530 1552 1596 1615 1629 1632 1649 1680 1710 1746 1754 1785 1810 1824 1843 1904 1938 1940 1995 2016 2037 2040 2128 2142 2172 2261 2280 2328 2380 2394 2448 2520 2534 2584 2631 2660 2715 2716 2720 2736 2856 2896 2907 2910 3040 3060 3077 3104 3192 3230 3258 3298 3360 3395 3420 3439 3492 3508 3570 3620 3686 3801 3808 3876 3880 3990 4074 4080 4256 4284 4344 4365 4385 4522 4560 4656 4760 4788 4845 4896 4947 5040 5068 5168 5262 5320 5355 5430 5432 5472 5529 5712 5792 5814 5820 5985 6111 6120 6139 6154 6335 6384 6460 6516 6596 6783 6790 6840 6878 6984 7016 7140 7240 7372 7602 7752 7760 7893 7980 8145 8148 8160 8245 8568 8688 8730 8770 9044 9120 9215 9231 9312 9520 9576 9690 9894 10080 10136 10185 10317 10336 10524 10640 10710 10860 10864 11058 11305 11403 11424 11543 11628 11640 11970 12222 12240 12278 12308 12670 12768 12901 12920 13032 13155 13192 13566 13580 13680 13756 13968 14032 14280 14480 14535 14744 14841 14909 15204 15385 15504 15520 15786 15960 16290 16296 16490 16587 16663 17136 17195 17376 17460 17540 17557 18088 18417 18430 18462 19005 19040 19152 19380 19788 20272 20349 20370 20634 21048 21280 21420 21539 21720 21728 22116 22610 22806 23086 23256 23280 23940 24073 24444 24480 24556 24616 24735 25340 25802 25840 26064 26310 26384 27132 27160 27360 27512 27645 27693 27936 28064 28560 28960 29070 29488 29682 29818 30408 30555 30695 30770 30951 31008 31331 31572 31920 32580 32592 32980 33174 33326 33915 34272 34390 34629 34920 35080 35114 36176 36834 36860 36924 38010 38304 38703 38760 39465 39576 40544 40698 40740 41268 42096 42840 43078 43440 44232 44727 45220 45612 46155 46172 46512 46560 47880 48146 48888 49112 49232 49470 49989 50680 51585 51604 51680 52128 52620 52671 52768 54264 54320 55024 55251 55290 55386 57015 57120 57715 58140 58463 58976 59364 59636 60816 61110 61390 61540 61902 62662 63144 63840 64505 64617 65160 65184 65960 66348 66652 67830 68780 69258 69840 70160 70228 72219 72352 73668 73720 73848 74205 74545 76020 77406 77520 78930 79152 81396 81480 82536 82935 83315 84192 85069 85680 86156 86880 87785 88464 89454 90440 91224 92085 92310 92344 93024 93993 95760 96292 97776 98224 98464 98940 99978 101360 101745 103170 103208 103887 104363 105240 105342 107695 108528 108640 110048 110502 110580 110772 114030 115430 116109 116280 116641 116926 118728 119272 120365 121632 122220 122780 122899 123080 123804 125324 126288 129010 129234 130320 131920 132696 133304 134181 135660 137560 138465 138516 139680 140320 140456 144438 147336 147440 147696 148410 149090 149967 152040 154755 154812 155040 156655 157860 158013 158304 158737 162792 162960 165072 165870 166630 170138 171360 172312 173145 175389 175570 176928 178908 180880 182448 184170 184620 184688 187986 191520 192584 193515 193851 195552 196448 197880 199956 202720 203490 206340 206416 207774 208726 210480 210684 215390 216657 217056 219317 221004 221160 221544 223635 228060 230860 232218 232560 233282 233852 237456 238544 240730 244440 245560 245798 246160 247608 249945 250648 252576 255207 258020 258468 260640 263355 263840 265392 266608 268362 271320 275120 276255 276930 277032 280912 281979 283271 288876 292315 294672 294880 295392 296820 298180 298469 299934 304080 309510 309624 313089 313310 315720 316026 317474 323085 325584 325920 330144 331740 333260 333583 340276 344624 346290 349923 350778 351140 357816 361095 361760 364896 368340 368697 369240 369376 375972 385168 387030 387702 395760 399912 406980 409241 412680 412832 415548 417452 420960 421368 425345 430780 433314 438634 442008 442320 443088 447270 456120 461720 464436 465120 466564 467704 469965 474912 476211 477088 481460 488880 491120 491596 492320 495216 499890 501296 510414 516040 516936 519435 521815 526167 526710 530784 533216 536724 542640 550240 552510 553860 554064 561824 563958 566542 577752 580545 583205 584630 589344 593640 595483 596360 596938 599868 608160 614495 619020 619248 626178 626620 631440 632052 634948 646170 651168 657951 663480 666520 667166 670905 680552 689248 692580 699846 701556 702280 715632 722190 736680 737394 738480 749835 751944 765621 770336 774060 775404 790065 791520 793685 799824 813960 818482 825360 831096 834904 842736 849813 850690 861560 866628 876945 877268 884016 884640 886176 894540 895407 912240 923440 928872 933128 935408 939267 939930 952422 962920 969255 977760 982240 983192 990432 999780 1000749 1002592 1020828 1032080 1033872 1038870 1043630 1049769 1052334 1053420 1073448 1083285 1085280 1096585 1105020 1106091 1107720 1108128 1111159 1127916 1133084 1155504 1161090 1166410 1169260 1187280 1190966 1192720 1193876 1199736 1227723 1228990 1238040 1238496 1252356 1253240 1262880 1264104 1269896 1276035 1292340 1315902 1326960 1333040 1334332 1341810 1361104 1385160 1399692 1403112 1404560 1409895 1416355 1428633 1431264 1444380 1446173 1473360 1474788 1476960 1492345 1499670 1503888 1531242 1548120 1550808 1565445 1580130 1587370 1599648 1616311 1627920 1636964 1650720 1662192 1667915 1669808 1685472 1699626 1701380 1723120 1733256 1749615 1753890 1754536 1768032 1786449 1789080 1790814 1824480 1843485 1846880 1857744 1866256 1870816 1878534 1879860 1904844 1925840 1938510 1966384 1973853 1982897 1999560 2001498 2041656 2046205 2064160 2067744 2077740 2087260 2089283 2099538 2104668 2106840 2146896 2166570 2193170 2210040 2212182 2215440 2222318 2255832 2266168 2311008 2322180 2332820 2335081 2338520 2374560 2381055 2381932 2385440 2387752 2399472 2455446 2457980 2476080 2504712 2506480 2528208 2539792 2549439 2552070 2584680 2630835 2631804 2653920 2666080 2668664 2683620 2686221 2698529 2722208 2770320 2799384 2806224 2809120 2819790 2832710 2857266 2888760 2892346 2946720 2949576 2977415 2984690 2999340 3002247 3007776 3016003 3062484 3096240 3101616 3130890 3160260 3174740 3232622 3255840 3273928 3289755 3324384 3333477 3335830 3339616 3399252 3402760 3446240 3466512 3499230 3507780 3509072 3572898 3578160 3581628 3683169 3686970 3715488 3732512 3757068 3759720 3809688 3828105 3851680 3877020 3932768 3947706 3965794 3999120 4002996 4083312 4092410 4155480 4174520 4178566 4199076 4209336 4213680 4249065 4293792 4333140 4338519 4386340 4420080 4424364 4430880 4444636 4477035 4511664 4532336 4644360 4665640 4670162 4677040 4696335 4762110 4763864 4775504 4798944 4848933 4910892 4915960 4952160 5003745 5009424 5012960 5056416 5079584 5098878 5104140 5169360 5248845 5261670 5263608 5337328 5359347 5367240 5372442 5397058 5530455 5540640 5555795 5598768 5612448 5639580 5665420 5670911 5714532 5777520 5784692 5899152 5948691 5954830 5969380 5998680 6004494 6032006 6124968 6138615 6192480 6203232 6261780 6267849 6320520 6349480 6465244 6547856 6579510 6666954 6671660 6798504 6805520 6933024 6998460 7005243 7015560 7018144 7143165 7145796 7156320 7163256 7230865 7366338 7373940 7514136 7519440 7619376 7656210 7754040 7895412 7931588 7998240 8005992 8081555 8095587 8166624 8184820 8310960 8349040 8357132 8398152 8418672 8427360 8498130 8666280 8677038 8772680 8840160 8848728 8889272 8932245 8954070 9023328 9048009 9064672 9288720 9331280 9340324 9354080 9392670 9524220 9527728 9551008 9697866 9821784 9831920 9869265 9914485 10000431 10007490 10018848 10123211 10197756 10208280 10338720 10446415 10497690 10523340 10527216 10674656 10718694 10734480 10744884 10794116 11060910 11111590 11197536 11279160 11314177 11330840 11341822 11429064 11555040 11569384 11675405 11798304 11897382 11909660 11938760 11997360 12008988 12064012 12249936 12277230 12523560 12535698 12641040 12698960 12747195 12930488 13015557 13095712 13159020 13333908 13343320 13431105 13492645 13597008 13611040 13996920 14010486 14031120 14286330 14291592 14326512 14461730 14546799 14732676 14747880 15011235 15028272 15038880 15080015 15238752 15312420 15397489 15508080 15790824 15863176 16011984 16163110 16191174 16369640 16621920 16667385 16698080 16714264 16796304 16837344 16996260 17012733 17332560 17354076 17545360 17697456 17778544 17846073 17864490 17908140 18096018 18415845 18577440 18662560 18680648 18785340 18803547 18889703 19048440 19055456 19395732 19643568 19663840 19738530 19828970 20000862 20014980 20246422 20395512 20416560 20892830 20995380 21015729 21046680 21054432 21112021 21437388 21468960 21489768 21588232 21692595 22121820 22223180 22558320 22628354 22661680 22683644 22858128 23138768 23350810 23794764 23819320 23877520 23994720 24017976 24128024 24244665 24286761 24499872 24554460 25047120 25071396 25282080 25397920 25494390 25860976 26031114 26318040 26667816 26686640 26796735 26862210 26985290 27144027 27194016 27477287 27993840 28020972 28062240 28354555 28572660 28583184 28653024 28923460 29093598 29465352 29495760 29743455 30022470 30056544 30160030 30369633 30624840 30794978 31016160 31339245 31581648 31726352 32023968 32326220 32382348 32739280 33334770 33428528 33592608 33942531 33992520 34025466 34665120 34708152 35026215 35090720 35394912 35557088 35692146 35728980 35816280 36192036 36831690 37361296 37570680 37607094 37779406 38096880 38791464 39287136 39477060 39657940 39696377 40001724 40029960 40477935 40492844 40791024 40833120 41785660 41990760 42031458 42093360 42224042 42874776 42979536 43176464 43385190 44243640 44446360 45116640 45240045 45256708 45323360 45367288 45716256 46192467 46277536 46701620 47589528 47638640 47755040 48035952 48256048 48489330 48573522 49108920 50002155 50094240 50142792 50616055 50988780 51038199 51272051 51721952 52062228 52636080 53335632 53373280 53593470 53724420 53970580 54288054 54954574 55987680 56041944 56570885 56669109 56709110 57145320 57166368 57846920 58187196 58930704 58991520 59486910 60044940 60320060 60739266 61249680 61589956 62678490 63163296 63336063 63452704 64652440 64764696 65077785 65478560 66669540 66857056 67885062 67985040 68050932 69416304 70052430 71384292 71457960 71632560 72384072 72733995 73663380 74722592 75141360 75214188 75558812 76193760 76987445 77582928 78954120 79315880 79392754 80003448 80059920 80955870 80985688 81582048 82431861 83571320 83981520 84062916 84186720 84448084 85063665 85749552 85959072 86352928 86770380 88487280 88892720 89230365 90480090 90513416 90734576 91108899 92384934 93403240 94017735 94448515 95179056 95277280 96071904 96512096 96978660 97147044 98217840 100004310 100285584 101232110 101827593 101977560 102076398 102544102 104124456 105078645 105272160 105560105 106671264 107186940 107448840 107782423 107941160 108576108 109909148 112083888 113141770 113338218 113418220 114290640 115693840 116374392 117861408 118973820 119089131 120089880 120640120 121433805 121478532 122499360 123179912 125356980 126672126 129304880 129529392 130155570 133339080 135720135 135770124 135970080 136101864 137386435 138577401 138832608 140104860 142768584 142915920 143265120 144768144 145467990 147326760 150282720 150428376 151117624 151848165 153816153 153974890 155165856 157908240 158631760 158785508 160006896 160119840 161911740 161971376 164863722 167142640 167963040 168125832 168896168 169712655 170007327 170127330 171499104 173540760 176974560 177785440 178460730 180960180 181026832 181469152 182217798 184769868 186806480 188035470 188897030 190008189 190358112 192341009 193957320 194294088 196435680 198481885 200008620 200571168 202464220 203655186 203955120 204152796 205088204 208248912 210157290 211120210 214373880 214897680 215564846 215882320 217152216 219818296 224167776 226283540 226676436 226836440 228581280 230962335 231387680 232748784 237947640 238178262 240179760 241280240 242867610 242957064 246359824 247295583 250713960 253344252 255190995 256360255 258609760 259058784 260311140 261757313 266678160 271440270 271540248 272203728 274772870 277154802 280209720 283345545 285537168 285831840 289536288 290935980 292552291 294653520 300856752 302235248 303696330 307632306 307949780 315816480 316680315 317263520 317571016 320013792 323347269 323823480 323942752 329727444 334285280 336251664 337792336 339425310 340014654 340254660 347081520 356921460 357267393 358904357 361920360 362053664 364435596 369539736 373612960 376070940 377794060 380016378 384682018 387914640 388588176 396963770 400017240 404928440 407310372 407910240 408305592 410176408 412159305 416497824 420314580 422240420 428747760 429795360 431129692 431764640 434304432 439636592 452567080 453352872 453672880 455544495 461448459 461924670 465497568 475895280 476356524 480359520 482560480 485735220 485914128 492719648 494591166 501427920 506688504 509137965 510381990 512720510 520622280 523514626 533356320 538912115 542880540 543080496 544407456 549545740 554309604 560419440 566691090 571074336 577023027 581871960 585104582 589307040 595445655 601713504 604470496 607392660 615264612 615899560 633360630 635142032 646694538 647646960 659454888 672503328 675584672 678850620 680029308 680509320 692887005 694163040 713842920 714534786 717808714 723840720 728871192 739079472 752141880 755588120 760032756 769080765 769364036 775829280 777176352 785271939 793927540 800034480 809856880 814620744 816611184 820352816 824318610 840629160 844480840 850036635 857495520 862259384 868608864 877656873 879273184 905134160 906705744 907345760 911088990 922896918 923849340 950040945 951790560 952713048 961705045 970041807 971470440 971828256 989182332 1002855840 1013377008 1018275930 1020763980 1025441020 1041244560 1047029252 1076713071 1077824230 1085761080 1086160992 1099091480 1108619208 1120838880 1133382180 1154046054 1163743920 1170209164 1190891310 1214785320 1230529224 1231799120 1236477915 1266721260 1270284064 1293389076 1295293920 1308786565 1318909776 1357701240 1360058616 1361018640 1385774010 1427685840 1429069572 1435617428 1447681440 1457742384 1462761455 1478158944 1504283760 1511176240 1520065512 1538161530 1538728072 1570543878 1587855080 1600068960 1616736345 1619713760 1629241488 1633222368 1640705632 1648637220 1681258320 1688961680 1700073270 1724518768 1731069081 1755313746 1786336965 1794521785 1810268320 1813411488 1822177980 1832301191 1845793836 1847698680 1900081890 1905426096 1923410090 1940083614 1942940880 1978364664 2026754016 2036551860 2041527960 2047866037 2050882040 2082489120 2094058504 2153426142 2155648460 2171522160 2198182960 2217238416 2266764360 2307242295 2308092108 2327487840 2340418328 2355815817 2381782620 2429570640 2461058448 2463598240 2472955830 2533442520 2586778152 2617573130 2632970619 2637819552 2715402480 2720117232 2722037280 2771548020 2855371680 2858139144 2871234856 2885115135 2915484768 2925522910 3008567520 3022352480 3040131024 3076323060 3077456144 3141087756 3175710160 3230139213 3233472690 3258482976 3297274440 3362516640 3377923360 3400146540 3449037536 3462138162 3510627492 3572673930 3589043570 3644355960 3664602382 3691587672 3695397360 3800163780 3810852192 3846820180 3880167228 3885881760 3926359695 3956729328 4073103720 4083055920 4095732074 4101764080 4188117008 4306852284 4311296920 4343044320 4388284365 4396365920 4434476832 4533528720 4614484590 4616184216 4680836656 4711631634 4763565240 4850209035 4859141280 4922116896 4945911660 4973388947 5066885040 5173556304 5235146260 5265941238 5383565355 5430804960 5440234464 5496903573 5543096040 5716278288 5742469712 5770230270 5851045820 6080262048 6143598111 6152646120 6154912288 6282175512 6351420320 6460278426 6466945380 6594548880 6800293080 6924276324 7021254984 7145347860 7178087140 7288711920 7329204764 7383175344 7390794720 7600327560 7693640360 7760334456 7852719390 7913458656 8146207440 8166111840 8191464148 8203528160 8376234016 8613704568 8622593840 8655345405 8776568730 9067057440 9161505955 9228969180 9232368432 9361673312 9423263268 9527130480 9700418070 9891823320 9946777894 10133770080 10239330185 10347112608 10470292520 10531882476 10767130710 10993807146 11086192080 11432556576 11484939424 11540460540 11702091640 11779079085 12287196222 12305292240 12564351024 12920556852 12933890760 13164853095 13189097760 13600586160 13848552648 14042509968 14290695720 14356174280 14577423840 14658409528 14766350688 14920166841 15200655120 15387280720 15520668912 15705438780 16150696065 16292414880 16382928296 16490710719 17227409136 17245187680 17310690810 17553137460 18323011910 18430794333 18457938360 18464736864 18846526536 19054260960 19400836140 19783646640 19893555788 20478660370 20940585040 21063764952 21534261420 21987614292 22172384160 23080921080 23404183280 23558158170 24574392444 24610584480 24866944735 25128702048 25841113704 25867781520 26329706190 27201172320 27484517865 27697105296 28085019936 28581391440 28712348560 29316819056 29840333682 30401310240 30717990555 30774561440 31041337824 31410877560 32301392130 32765856592 32981421438 34454818272 34621381620 34813722629 35106274920 36646023820 36861588666 36915876720 37693053072 38801672280 39567293280 39787111576 40957320740 41881170080 42127529904 43068522840 43975228584 44760500523 46161842160 46808366560 47116316340 49148784888 49733889470 51682227408 51735563040 52659412380 54969035730 55394210592 57162782880 57424697120 58633638112 59680667364 61435981110 62821755120 64602784260 65531713184 65962842876 69242763240 69627445258 70212549840 73292047640 73723177332 73831753440 74600834205 75386106144 77603344560 79574223152 81914641480 82453553595 84255059808 86137045680 87950457168 89521001046 92153971665 92323684320 94232632680 98297569776 99467778940 103364454816 104441167887 105318824760 109938071460 119361334728 122871962220 125643510240 129205568520 131925685752 138485526480 139254890516 140425099680 146584095280 147446354664 149201668410 155206689120 159148446304 163829282960 164907107190 172274091360 174068613145 175900914336 179042002092 184307943330 188465265360 196595139552 198935557880 208882335774 210637649520 219876142920 223802502615 238722669456 245743924440 258411137040 263851371504 276971052960 278509781032 293168190560 294892709328 298403336820 313323503661 327658565920 329814214380 348137226290 358084004184 368615886660 376930530720 397871115760 417764671548 421275299040 439752285840 447605005230 477445338912 491487848880 516822274080 522205839435 527702743008 557019562064 589785418656 596806673640 626647007322 659628428760 696274452580 716168008368 737231773320 795742231520 835529343096 879504571680 895210010460 982975697760 1044411678870 1114039124128 1193613347280 1253294014644 1319256857520 1392548905160 1432336016736 1474463546640 1566617518305 1671058686192 1790420020920 2088823357740 2387226694560 2506588029288 2638513715040 2785097810320 2948927093280 3133235036610 3342117372384 3580840041840 4177646715480 5013176058576 5570195620640 6266470073220 7161680083680 8355293430960 10026352117152 12532940146440 16710586861920 25065880292880 50131760585760
- Sum of all divisors σ(n): 221625444418560
- Sum of proper divisors (its aliquot sum) s(n): 171493683832800
- 50131760585760 is an abundant number, because the sum of its proper divisors (171493683832800) is greater than itself. Its abundance is 121361923247040
Bases of 50131760585760
- Binary: 10110110011000001101011100100000011100001000002
- Hexadecimal: 0x2D9835C81C20
- Base-36: HRQ7NW080
Squares and roots of 50131760585760
- 50131760585760 squared (501317605857602) is 2513193419427959818314777600
- 50131760585760 cubed (501317605857603) is 125990810808469996265521778272640126976000
-
The
square root of 50131760585760 is 7080378.5623199555 -
The
cube root of 50131760585760 is 36872.6472787497
Scales and comparisons
How big is 50131760585760?- 50,131,760,585,760 seconds is equal to 1,594,034 years, 47 weeks, 5 days, 11 hours, 36 minutes.
-
To count from 1 to 50,131,760,585,760 would take you about three million, nine hundred eighty-five thousand and eighty-seven 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 50131760585760 cubic inches would be around 3072.7 feet tall.
Recreational maths with 50131760585760
- 50131760585760 backwards is 06758506713105
- The number of decimal digits it has is: 14
- The sum of 50131760585760's digits is 54
- 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 50131760585760 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 50131760585760 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/50131760585760/
Chicago style:
Numbermatics. 2024. "Number 50131760585760 - Facts about the integer". https://numbermatics.com/n/50131760585760/
The information we have on file for 50131760585760 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 50131760585760, math, Factors of 50131760585760, curriculum, school, college, exams, university, Prime factorization of 50131760585760, STEM, science, technology, engineering, physics, economics, calculator, fifty trillion, one hundred thirty-one billion, seven hundred sixty million, five hundred eighty-five thousand, seven hundred sixty.