15988570390981760
15,988,570,390,981,760 is an even composite number composed of nine prime numbers multiplied together.
15988570390981760 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 15988570390981760:
27 × 5 × 11 × 13 × 31 × 41 × 113 × 257 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 31 × 41 × 113 × 257 × 4733)See below for interesting mathematical facts about the number 15988570390981760 from the Numbermatics database.
Names of 15988570390981760
- Cardinal: 15988570390981760 can be written as Fifteen quadrillion, nine hundred eighty-eight trillion, five hundred seventy billion, three hundred ninety million, nine hundred eighty-one thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.598857039098176 × 1016
Factors of 15988570390981760
Divisors of 15988570390981760
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 31 32 40 41 44 52 55 62 64 65 80 82 88 104 110 113 124 128 130 143 155 160 164 176 205 208 220 226 248 257 260 286 310 320 328 341 352 403 410 416 440 451 452 496 514 520 533 565 572 620 640 656 682 704 715 806 820 832 880 902 904 992 1028 1040 1066 1130 1144 1240 1243 1271 1285 1312 1364 1408 1430 1469 1612 1640 1664 1705 1760 1804 1808 1984 2015 2056 2080 2132 2255 2260 2288 2480 2486 2542 2570 2624 2665 2728 2827 2860 2938 3224 3280 3341 3410 3503 3520 3608 3616 3968 4030 4112 4160 4264 4433 4510 4520 4576 4633 4733 4960 4972 5084 5140 5248 5330 5456 5654 5720 5863 5876 6215 6355 6448 6560 6682 6820 7006 7040 7216 7232 7345 7967 8060 8224 8320 8528 8866 9020 9040 9152 9266 9466 9920 9944 10168 10280 10537 10660 10912 11308 11440 11726 11752 12430 12710 12896 13120 13364 13640 13981 14012 14135 14432 14464 14690 15934 16120 16159 16448 16523 16705 17056 17515 17732 18040 18080 18304 18532 18932 19840 19888 20336 20560 21074 21320 21824 22165 22616 22880 23165 23452 23504 23665 24860 25420 25792 26240 26728 27280 27962 28024 28270 28864 29041 29315 29380 31868 32240 32318 32896 33046 33410 34112 35030 35464 36080 36160 36751 37064 37864 38533 39776 39835 40672 41120 42148 42640 43648 44330 45232 45539 45760 46330 46904 47008 47330 49720 50840 50963 51584 52063 52685 53456 54560 55924 56048 56540 57728 58082 58630 58760 60229 61529 63736 64480 64636 66092 66820 68224 69905 70060 70928 72160 72320 73502 74128 75728 77066 79552 79670 80795 81344 82240 82615 84296 85280 87637 88660 90464 91078 91520 92660 93808 94016 94660 99440 101680 101926 103571 104126 105370 106912 109120 111848 112096 113080 115907 116164 117260 117520 120458 123058 127472 128960 129272 132184 133640 136981 139810 140120 141856 143623 144320 145205 146723 147004 148256 151456 154132 159104 159340 161590 162688 164480 165230 168592 170560 175274 177320 180928 181753 182156 183755 185320 187616 188032 189320 192665 194053 198880 203360 203852 207142 208252 210740 213824 218240 223696 224192 226160 227695 231814 232328 234520 235040 240916 246116 254815 254944 257920 258544 260315 264368 267280 273962 279620 280240 283712 287246 288640 290410 293446 294008 296512 301145 302912 307645 308264 318680 319451 323180 326647 330460 337184 341120 350548 354640 361856 363506 364312 367510 370640 375232 377533 378640 385330 388106 397760 406720 407704 414284 416504 421480 427648 438185 447392 448384 452320 455390 463628 464656 469040 470080 481832 492232 500929 509630 509888 517088 517855 520630 528736 534560 534829 547924 559240 560480 567424 574492 579535 580820 586892 588016 593024 602290 605824 615290 616528 637360 638902 646360 653294 660920 662519 674368 676819 684905 701096 709280 718115 727012 728624 733615 735020 741280 750464 755066 757280 770660 776212 795520 813440 815408 828568 833008 842960 876370 894784 900271 904640 908765 910780 927256 929312 938080 940160 963664 970265 984464 1001858 1019260 1019776 1034176 1035710 1041260 1057472 1069120 1069658 1095848 1118480 1120960 1139281 1148984 1159070 1161640 1173784 1176032 1190681 1204580 1216381 1230580 1233056 1274720 1277804 1292720 1306588 1321840 1325038 1348736 1353638 1369810 1402192 1418560 1436230 1454024 1457248 1467230 1470040 1482560 1506791 1510132 1514560 1541320 1552424 1579853 1597255 1613953 1630816 1633235 1657136 1666016 1685920 1752740 1789568 1800542 1809280 1817530 1821560 1854512 1858624 1867099 1876160 1887665 1907399 1927328 1940530 1968928 2003716 2038520 2068352 2071420 2082520 2114944 2134583 2138240 2139316 2191696 2236960 2241920 2278562 2297968 2318140 2323280 2347568 2352064 2381362 2409160 2432762 2461160 2466112 2504645 2522689 2549440 2555608 2585440 2613176 2643680 2650076 2674145 2707276 2739620 2804384 2837120 2872460 2908048 2914496 2934460 2940080 2965120 3013582 3020264 3029120 3082640 3104848 3159706 3194510 3227906 3261632 3266470 3312595 3314272 3332032 3371840 3384095 3505480 3593117 3601084 3635060 3643120 3709024 3717248 3734198 3752320 3775330 3814798 3854656 3881060 3937856 4007432 4077040 4142840 4152863 4165040 4246411 4269166 4278632 4383392 4473920 4501355 4557124 4595936 4636280 4646560 4695136 4704128 4762724 4818320 4865524 4922320 4932224 5009290 5045378 5098880 5111216 5170880 5226352 5287360 5300152 5348290 5414552 5479240 5608768 5696405 5744920 5816096 5828992 5868920 5880160 5883119 5953405 6015643 6027164 6040528 6081905 6165280 6209696 6319412 6389020 6455812 6523264 6532940 6625190 6628544 6664064 6743680 6768190 6952777 7010960 7186234 7202168 7270120 7286240 7418048 7468396 7533955 7550660 7629596 7709312 7762120 7875712 7899265 8014864 8069765 8154080 8285680 8305726 8330080 8492822 8538332 8557264 8766784 8947840 9002710 9114248 9191872 9272560 9293120 9335495 9390272 9525448 9536995 9636640 9731048 9844640 9902981 10018580 10090756 10222432 10341760 10452704 10574720 10600304 10672915 10696580 10829104 10958480 11217536 11392810 11489840 11632192 11703523 11737840 11760320 11766238 11906810 12031286 12054328 12081056 12163810 12330560 12419392 12613445 12638824 12778040 12911624 13065880 13097491 13250380 13257088 13380191 13536380 13905554 14021920 14372468 14404336 14540240 14572480 14836096 14936792 15067910 15101320 15259192 15478853 15524240 15798530 15812953 16029728 16139530 16308160 16571360 16579699 16611452 16660160 16985644 17076664 17114528 17533568 17965585 18005420 18228496 18383744 18545120 18586240 18670990 18780544 19050896 19073990 19273280 19462096 19689280 19805962 20037160 20181512 20444864 20538089 20764315 20905408 20981389 21200608 21232055 21345830 21393160 21658208 21916960 21927989 22785620 22979680 23264384 23407046 23475680 23520640 23532476 23813620 24062572 24108656 24162112 24327620 24661120 24838784 25226890 25277648 25556080 25823248 26131760 26194982 26500760 26760382 27072760 27749579 27811108 28043840 28744936 28808672 29080480 29144960 29415595 29873584 30078215 30135820 30202640 30518384 30957706 31048480 31597060 31625906 32059456 32279060 32616320 33142720 33159398 33222904 33320320 33971288 34153328 34229056 34763885 35931170 36010840 36456992 36911111 37090240 37341980 37707811 38101792 38147980 38546560 38924192 39378560 39611924 40074320 40363024 40889728 41076178 41528630 41810816 41962778 42401216 42464110 42691660 42786320 43316416 43833920 43855978 45571240 45959360 46710521 46814092 46951360 47064952 47627240 48125144 48217312 48324224 48655240 49514905 49871621 50453780 50555296 51112160 51646496 52263520 52389964 53001520 53520764 54145520 55499158 55622216 56087680 57489872 57617344 58160960 58517615 58831190 59747168 60156430 60271640 60405280 61036768 61915412 62096960 63194120 63251812 64118912 64558120 65487455 66172073 66285440 66318796 66445808 66900955 67942576 68306656 68458112 69527770 71862340 72021680 72913984 73822222 74180480 74683960 75415622 76203584 76295960 76480547 77394265 77848384 78203359 79064765 79223848 80148640 80726048 82152356 82898495 83057260 83925556 84802432 84928220 85383320 85572640 86632832 87667840 87711956 91142480 91918720 93421042 93628184 93902720 94129904 95254480 96250288 96434624 97310480 99029810 99743242 100907560 101110592 102224320 102690445 103292992 104527040 104779928 104906945 106003040 107041528 108291040 109639945 110998316 111244432 114979744 115234688 116321920 117035230 117662380 119494336 120312860 120543280 120810560 122073536 123830824 124193920 126388240 126503624 128738753 129116240 130974910 132344146 132637592 132891616 133801910 135885152 136613312 137451053 138747895 139055540 143724680 144043360 145827968 147644444 149367920 150831244 152407168 152591920 152961094 154788530 155696768 156406718 158129530 158447696 160297280 161452096 164304712 165796990 166114520 167851112 169856440 170267383 170766640 171145280 173942483 175423912 182284960 182376689 184555555 186842084 187256368 188259808 188539055 190508960 192500576 192869248 194620960 198059620 199486484 201815120 202221184 204448640 205380890 206585984 209054080 209559856 209813890 212006080 214083056 215536087 216582080 219279890 221996632 222488864 229959488 233552605 234070460 235324760 238988672 240625720 241086560 241207879 241621120 244147072 247661648 249358105 252776480 253007248 257477506 258232480 261949820 264688292 265275184 265783232 267603820 271770304 273226624 274902106 277495790 278111080 285063857 287449360 288086720 295288888 298735840 301662488 305183840 305922188 309577060 312813436 316259060 316895392 320594560 322904192 328609424 330860365 331593980 332229040 335702224 339712880 340534766 341533280 342290560 347884966 350847824 364569920 364753378 369111110 373684168 374512736 376519616 377078110 381017920 382402735 385001152 389241920 391016795 396119240 398972968 403630240 406022221 410761780 414785921 419119712 419627780 424012160 428166112 431072174 433164160 438559780 443993264 444977728 459918976 467105210 468140920 470649520 479844443 481251440 482173120 482415758 490201543 495323296 498716210 505552960 506014496 514955012 516464960 523899640 529376584 530550368 531566464 535207640 543540608 548587831 549804212 554991580 556222160 570127714 574898720 576173440 590577776 597471680 603324976 610367680 611844376 619154120 625626872 632518120 633790784 643693765 648331073 657218848 661720730 663187960 664458080 671404448 679425760 679767659 681069532 683066560 687255265 695769932 701695648 729139840 729506756 738222220 747368336 749025472 753039232 754156220 762035840 764805470 770002304 778483840 782033590 792238480 797945936 807260480 812044442 821523560 829571842 838239424 839255560 851336915 856332224 860236949 862144348 869712415 877119560 887986528 889955456 911883445 934210420 936281840 941299040 959688886 962502880 964346240 964831516 980403086 990646592 997432420 1011105920 1012028992 1029910024 1032929920 1047799280 1058753168 1061100736 1070415280 1077680435 1097175662 1099608424 1109983160 1112444320 1140255428 1149797440 1181155552 1194943360 1206039395 1206649952 1220735360 1223688752 1238308240 1251253744 1265036240 1267581568 1287387530 1296662146 1314437696 1323441460 1326375920 1328916160 1342808896 1358851520 1359535318 1362139064 1366133120 1374510530 1391539864 1403391296 1425319285 1459013512 1476444440 1494736672 1498050944 1508312440 1511961583 1529610940 1546020251 1564067180 1584476960 1595891872 1614520960 1624088884 1643047120 1659143684 1676478848 1678511120 1702673830 1712664448 1720473898 1724288696 1739424830 1754239120 1775973056 1786863689 1823766890 1868420840 1872563680 1882598080 1919377772 1925005760 1929663032 1960806172 1981293184 1994864840 2024057984 2030111105 2059820048 2073929605 2095598560 2117506336 2122201472 2140830560 2155360870 2194351324 2199216848 2219966320 2224888640 2280510856 2299594880 2362311104 2370896957 2399222215 2412078790 2413299904 2447377504 2451007715 2476616480 2502507488 2530072480 2574775060 2593324292 2628875392 2646882920 2652751840 2657832320 2685617792 2717703040 2719070636 2724278128 2742939155 2749021060 2783079728 2806782592 2850638570 2918027024 2952888880 2989473344 3016624880 3023923166 3059221880 3092040502 3128134360 3135702427 3168953920 3191783744 3241655365 3248177768 3286094240 3318287368 3357022240 3398838295 3405347660 3440947796 3448577392 3478849660 3508478240 3551946112 3573727378 3647533780 3736841680 3745127360 3765196160 3838755544 3850011520 3859326064 3921612344 3989729680 4060222210 4119640096 4147859210 4191197120 4235012672 4260982643 4281661120 4301184745 4310721740 4388702648 4398433696 4439932640 4449777280 4561021712 4724622208 4741793914 4798444430 4824157580 4826599808 4894755008 4902015430 4953232960 5005014976 5060144960 5149550120 5186648584 5278288873 5293765840 5305503680 5392216973 5438141272 5448556256 5485878310 5498042120 5566159456 5635493173 5701277140 5836054048 5905777760 5978946688 6033249760 6047846332 6118443760 6184081004 6256268720 6271404854 6337907840 6383567488 6483310730 6496355536 6572188480 6636574736 6714044480 6797676590 6810695320 6881895592 6897154784 6957699320 7016956480 7131641803 7147454756 7295067560 7473683360 7477444249 7490254720 7559807915 7677511088 7718652128 7730101255 7843224688 7979459360 8120444420 8239280192 8295718420 8382394240 8470025344 8521965286 8563322240 8602369490 8621443480 8777405296 8796867392 8836979567 8879865280 8934318445 9122043424 9483587828 9596888860 9648315160 9789510016 9804030860 9906465920 10010029952 10120289920 10299100240 10373297168 10556577746 10587531680 10611007360 10784433946 10876282544 10897112512 10971756620 10996084240 11132318912 11270986346 11402554280 11672108096 11811555520 11854484785 12066499520 12095692664 12236887520 12368162008 12512537440 12542809708 12966621460 12992711072 13144376960 13273149472 13428088960 13595353180 13621390640 13763791184 13794309568 13915398640 14033912960 14263283606 14294909512 14590135120 14947366720 14954888498 15119615830 15355022176 15437304256 15460202510 15678512135 15686449376 15958918720 16240888840 16478560384 16591436840 17006222761 17043930572 17204738980 17242886960 17554810592 17593734784 17673959134 17759730560 17868636890 18244086848 18967175656 19193777720 19296630320 19608061720 19655500579 20098263263 20598200480 20746594336 21113155492 21175063360 21304913215 21568867892 21752565088 21794225024 21943513240 21992168480 22264637824 22541972692 22805108560 23344216192 23623111040 23708969570 24132999040 24191385328 24473775040 24736324016 25025074880 25085619416 25933242920 25985422144 26391444365 26546298944 26961084865 27190706360 27242781280 27527582368 27588619136 27830797280 28177465865 28526567212 28589819024 29180270240 29894733440 29909776996 30239231660 30710044352 30874608512 30920405020 31357024270 31372898752 31917837440 32481777680 33182873680 34012445522 34087861144 34409477960 34485773920 35109621184 35347918268 35658209015 35737273780 36488173696 37387221245 37934351312 38387555440 38593260640 39216123440 39311001158 40196526526 41196400960 41493188672 42226310984 42350126720 42609826430 43137735784 43505130176 43887026480 43984336960 44184897835 45083945384 45610217120 46870809073 47417939140 48382770656 48947550080 49472648032 50050149760 50171238832 51866485840 51970844288 52782888730 53092597888 53922169730 54381412720 54485562560 55055164736 55392774359 55661594560 56354931730 57053134424 57179638048 58360540480 59819553992 60478463320 61420088704 61840810040 61990424903 62714048540 62745797504 64963555360 66365747360 68024891044 68175722288 68818955920 68971547840 70219242368 70695836536 71316418030 71474547560 73261411249 74774442490 75868702624 76775110880 77186521280 78432246880 78622002316 80393053052 82392801920 82986377344 84452621968 85031113805 85219652860 86275471568 87010260352 87774052960 87968673920 88369795670 90167890768 91220434240 93741618146 94835878280 96765541312 97206775237 98277502895 98945296064 100342477664 100491316315 103732971680 105565777460 107844339460 108762825440 108971125120 110110329472 110785548718 111323189120 112709863460 114106268848 114359276096 116721080960 119639107984 120956926640 123681620080 123980849806 125428097080 129927110720 132731494720 136049782088 136351444576 137637911840 137943095680 141391673072 142632836060 142949095120 146522822498 149548884980 151737405248 153550221760 154373042560 156864493760 157244004632 160786106104 168905243936 170062227610 170439305720 172550943136 174700288363 175548105920 176739591340 180335781536 182440868480 187483236292 189671756560 193531082624 194413550474 196555005790 197890592128 200684955328 200982632630 207465943360 211131554920 215688678920 217525650880 221080895893 221571097436 225419726920 228212537696 228718552192 234354045365 239278215968 241913853280 247363240160 247961699612 250856194160 259854221440 265462989440 272099564176 272702889152 275275823680 276963871795 282783346144 285265672120 285898190240 293045644996 299097769960 303474810496 307100443520 309952124515 313728987520 314488009264 321572212208 337810487872 340124455220 340878611440 345101886272 349400576726 351096211840 353479182680 360671563072 366307056245 374966472584 379343513120 388827100948 393110011580 401369910656 401965265260 414931886720 422263109840 431377357840 435051301760 442161791786 443142194872 450839453840 456425075392 468708090730 478556431936 483827706560 486033876185 494726480320 495923399224 501712388320 544199128352 545405778304 550551647360 553927743590 565566692288 570531344240 571796380480 586091289992 598195539920 609320517949 619904249030 628976018528 643144424416 675620975744 680248910440 681757222880 690203772544 698801153452 706958365360 721343126144 732614112490 749932945168 758687026240 777654201896 786220023160 803930530520 805875523739 844526219680 862754715680 873501441815 884323583572 886284389744 901678907680 912850150784 937416181460 957112863872 967655413120 972067752370 989452960640 991846798448 1003424776640 1088398256704 1105404479465 1107855487180 1131133384576 1141062688480 1143592760960 1172182579984 1196391079840 1218641035898 1239808498060 1257952037056 1286288848832 1360497820880 1363514445760 1397602306904 1413916730720 1465228224980 1499865890336 1517374052480 1555308403792 1572440046320 1607861061040 1611751047478 1689052439360 1725509431360 1747002883630 1768647167144 1772568779488 1803357815360 1874832362920 1921703171993 1944135504740 1983693596896 2006849553280 2176796513408 2210808958930 2215710974360 2271103748719 2282125376960 2344365159968 2392782159680 2437282071796 2479616996120 2515904074112 2572577697664 2720995641760 2727028891520 2795204613808 2827833461440 2930456449960 2999731780672 3046602589745 3110616807584 3144880092640 3215722122080 3223502094956 3378104878720 3451018862720 3494005767260 3537294334288 3545137558976 3606715630720 3749664725840 3843406343986 3888271009480 3967387193792 4029377618695 4421617917860 4431421948720 4542207497438 4564250753920 4688730319936 4785564319360 4874564143592 4959233992240 5441991283520 5590409227616 5655666922880 5860912899920 5999463561344 6093205179490 6221233615168 6289760185280 6431444244160 6447004189912 6988011534520 7074588668576 7090275117952 7499329451680 7686812687972 7776542018960 7934774387584 8058755237390 8843235835720 8862843897440 9084414994876 9377460639872 9608515859965 9749128287184 9918467984480 10883982567040 11180818455232 11355518743595 11721825799840 12186410358980 12442467230336 12579520370560 12862888488320 12894008379824 13976023069040 14149177337152 14998658903360 15373625375944 15553084037920 16117510474780 17686471671440 17725687794880 18168829989752 19217031719930 19498256574368 19836935968960 22361636910464 22711037487190 23443651599680 24372820717960 24982141235909 25788016759648 27952046138080 28298354674304 29997317806720 30747250751888 31106168075840 32235020949560 35372943342880 35451375589760 36337659979504 38434063439860 38996513148736 39673871937920 45422074974380 46887303199360 48745641435920 49964282471818 51576033519296 55904092276160 61494501503776 62212336151680 64470041899120 70745886685760 72675319959008 76868126879720 77993026297472 90844149948760 97491282871840 99928564943636 103152067038592 111808184552320 122989003007552 124910706179545 128940083798240 141491773371520 145350639918016 153736253759440 181688299897520 194982565743680 199857129887272 245978006015104 249821412359090 257880167596480 290701279836032 307472507518880 363376599795040 389965131487360 399714259774544 499642824718180 515760335192960 614945015037760 726753199590080 799428519549088 999285649436360 1229890030075520 1453506399180160 1598857039098176 1998571298872720 3197714078196352 3997142597745440 7994285195490880 15988570390981760
- Sum of all divisors σ(n): 48100854563758080
- Sum of proper divisors (its aliquot sum) s(n): 32112284172776320
- 15988570390981760 is an abundant number, because the sum of its proper divisors (32112284172776320) is greater than itself. Its abundance is 16123713781794560
Bases of 15988570390981760
- Binary: 1110001100110110000101001000101001111011101100100000002
- Hexadecimal: 0x38CD85229EEC80
- Base-36: 4DFH3U64WOW
Squares and roots of 15988570390981760
- 15988570390981760 squared (159885703909817602) is 255634383147378629833136652697600
- 15988570390981760 cubed (159885703909817603) is 4087228329307064579067629769769541224216395776000
-
The
square root of 15988570390981760 is 126445918.8387737567 -
The
cube root of 15988570390981760 is 251924.1939984129
Scales and comparisons
How big is 15988570390981760?- 15,988,570,390,981,760 seconds is equal to 508,387,082 years, 27 weeks, 6 days, 18 hours, 29 minutes, 20 seconds.
-
To count from 1 to 15,988,570,390,981,760 would take you about one billion, five hundred twenty-five million, one hundred sixty-one thousand, two hundred forty-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 15988570390981760 cubic inches would be around 20993.7 feet tall.
Recreational maths with 15988570390981760
- 15988570390981760 backwards is 06718909307588951
- The number of decimal digits it has is: 17
- The sum of 15988570390981760's digits is 86
- 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 15988570390981760 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 15988570390981760 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/15988570390981760/
Chicago style:
Numbermatics. 2024. "Number 15988570390981760 - Facts about the integer". https://numbermatics.com/n/15988570390981760/
The information we have on file for 15988570390981760 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 15988570390981760, math, Factors of 15988570390981760, curriculum, school, college, exams, university, Prime factorization of 15988570390981760, STEM, science, technology, engineering, physics, economics, calculator, fifteen quadrillion, nine hundred eighty-eight trillion, five hundred seventy billion, three hundred ninety million, nine hundred eighty-one thousand, seven hundred sixty.