45405290854560
45,405,290,854,560 is an even composite number composed of nine prime numbers multiplied together.
45405290854560 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 45405290854560:
25 × 3 × 5 × 7 × 13 × 192 × 29 × 31 × 3203
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 19 × 19 × 29 × 31 × 3203)See below for interesting mathematical facts about the number 45405290854560 from the Numbermatics database.
Names of 45405290854560
- Cardinal: 45405290854560 can be written as Forty-five trillion, four hundred five billion, two hundred ninety million, eight hundred fifty-four thousand, five hundred sixty.
Scientific notation
- Scientific notation: 4.540529085456 × 1013
Factors of 45405290854560
Divisors of 45405290854560
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 26 28 29 30 31 32 35 38 39 40 42 48 52 56 57 58 60 62 65 70 76 78 80 84 87 91 93 95 96 104 105 112 114 116 120 124 130 133 140 145 152 155 156 160 168 174 182 186 190 195 203 208 210 217 224 228 232 240 247 248 260 266 273 280 285 290 304 310 312 336 348 361 364 372 377 380 390 399 403 406 416 420 434 435 455 456 464 465 480 494 496 520 532 546 551 560 570 580 589 608 609 620 624 651 665 672 696 722 728 741 744 754 760 780 798 806 812 840 868 870 899 910 912 928 930 988 992 1015 1040 1064 1083 1085 1092 1102 1120 1131 1140 1160 1178 1209 1218 1235 1240 1248 1302 1330 1365 1392 1444 1456 1482 1488 1508 1520 1560 1596 1612 1624 1653 1680 1729 1736 1740 1767 1798 1805 1820 1824 1860 1885 1976 1995 2015 2030 2080 2128 2166 2170 2184 2204 2262 2280 2320 2356 2418 2436 2470 2480 2527 2604 2639 2660 2697 2730 2755 2784 2821 2888 2912 2945 2964 2976 3016 3040 3045 3120 3192 3203 3224 3248 3255 3306 3360 3458 3472 3480 3534 3596 3610 3640 3705 3720 3770 3857 3952 3990 4030 4060 4123 4256 4332 4340 4368 4408 4495 4524 4560 4640 4693 4712 4836 4872 4940 4960 5054 5187 5208 5278 5320 5394 5415 5460 5510 5642 5655 5776 5890 5928 6032 6045 6090 6240 6293 6384 6406 6448 6496 6510 6612 6916 6944 6960 7068 7163 7192 7220 7280 7410 7440 7540 7581 7657 7714 7904 7917 7980 8060 8120 8246 8265 8463 8645 8664 8680 8736 8816 8835 8990 9048 9120 9386 9424 9609 9672 9744 9880 10108 10374 10416 10469 10556 10640 10788 10830 10920 11020 11191 11284 11310 11552 11571 11687 11780 11856 12064 12090 12180 12369 12586 12635 12768 12812 12896 13020 13195 13224 13485 13832 13920 14079 14105 14136 14326 14384 14440 14560 14820 14880 15080 15162 15314 15428 15834 15960 16015 16120 16240 16492 16530 16926 17081 17290 17328 17360 17632 17670 17980 18096 18772 18848 18879 19218 19285 19344 19488 19760 20216 20615 20748 20832 20938 21112 21280 21489 21576 21660 21840 22040 22382 22421 22568 22620 22971 23142 23374 23465 23560 23712 24180 24360 24738 25172 25270 25624 25935 26040 26390 26448 26970 27664 28158 28210 28272 28652 28768 28880 29640 30160 30324 30628 30856 31407 31465 31668 31920 32030 32240 32480 32851 32984 33060 33573 33852 34162 34580 34656 34720 35061 35340 35815 35960 36192 37544 37758 37905 38285 38436 38570 38688 39520 39585 40432 41230 41496 41639 41876 42224 42315 42978 43152 43320 43680 44080 44764 44842 45136 45240 45942 46284 46748 46930 47120 48045 48360 48720 49476 50141 50344 50540 51243 51248 51870 52080 52345 52780 52896 53599 53940 55328 55955 56316 56420 56544 57304 57760 57855 58435 59280 60320 60648 60857 61256 61712 61845 62814 62930 63336 63840 64060 64480 65702 65968 66120 67146 67263 67704 68324 69160 70122 70395 70680 71630 71920 73283 75088 75516 75810 76570 76872 77140 78337 79170 80864 81809 82460 82992 83278 83752 84448 84630 85405 85956 86304 86640 88160 89528 89684 90272 90480 91884 92568 92887 93496 93860 94240 94395 96090 96720 97440 98553 98952 99293 100282 100688 101080 102486 102496 103740 104160 104690 105560 107198 107445 107880 111910 112105 112632 112840 114608 114855 115710 116870 118560 119567 121296 121714 122512 123424 123690 124917 125628 125860 126672 128120 131404 131936 132240 134292 134526 135408 136097 136648 138320 140244 140790 141360 143260 143840 145483 146566 150176 150423 151032 151620 153140 153744 154280 156674 157035 158340 160797 163618 164255 164920 165984 166556 167504 167865 169260 170810 171912 173280 175305 179056 179368 180960 182571 183768 185136 185774 186992 187720 188790 192180 193440 197106 197904 198586 200564 201376 202160 204972 207480 208195 209380 211120 214396 214890 215760 219849 222053 223820 224210 225264 225680 229216 229710 231420 233740 235011 239134 242592 243428 245024 245427 247380 249834 250705 251256 251720 253344 256215 256240 262808 264480 267995 268584 269052 270816 272194 273296 276640 278661 280488 281580 282720 286520 290966 291473 293132 297879 300846 302064 303240 304285 306280 307488 308560 313348 314070 316680 321594 324539 327236 328510 329840 333112 335008 335730 336315 338520 341620 343824 350610 358112 358701 358736 365142 366415 367536 370272 371548 373984 375440 377580 384360 391685 394212 395808 397172 401128 404320 408291 409045 409944 414960 416390 418760 422240 425999 428792 429780 431520 436449 439698 444106 447640 448420 450528 451360 459420 462840 464435 467480 470022 478268 486856 490854 492765 494760 496465 499668 501410 502512 503440 512430 512480 525616 535990 537168 538104 544388 546592 557322 560976 563160 573040 581932 582946 586264 595758 597835 601692 604128 606480 608570 612560 617120 624585 626696 628140 633360 643188 649078 650209 654472 657020 659680 666159 666224 671460 672630 677040 680485 683240 687648 695051 701220 717402 717472 727415 730284 732830 735072 743096 750880 752115 755160 768720 783370 788424 791141 794344 802256 803985 816582 818090 819888 829920 832780 837520 851998 857584 859560 872898 874419 879396 888212 895280 896840 912855 918840 925680 928870 934960 940044 952679 956536 973617 973712 981708 985530 989520 992930 999336 1002820 1005024 1006880 1018381 1024860 1051232 1071980 1074336 1076208 1088776 1099245 1110265 1114644 1121952 1126320 1146080 1156283 1163864 1165892 1172528 1175055 1191516 1195670 1203384 1207531 1212960 1217140 1225120 1227135 1249170 1253392 1256280 1266720 1277997 1286376 1290809 1298156 1300418 1308944 1314040 1332318 1332448 1342920 1345260 1354080 1360970 1366480 1390102 1393305 1402440 1434804 1454830 1457365 1460568 1465660 1486192 1489395 1504230 1510320 1537440 1554371 1566740 1576848 1582282 1588688 1604512 1607970 1622695 1633164 1636180 1639776 1665560 1675040 1703996 1715168 1719120 1745796 1748838 1758792 1764853 1776424 1790560 1793505 1793680 1825710 1837680 1851360 1857740 1869920 1880088 1886567 1905358 1913072 1947234 1947424 1950627 1963416 1971060 1979040 1985860 1998672 2005640 2036762 2041455 2049720 2085153 2129995 2143960 2152416 2177552 2182245 2198490 2220530 2229288 2252640 2271773 2312566 2327728 2331784 2345056 2350110 2373423 2383032 2391340 2406768 2415062 2434280 2454270 2498340 2506784 2512560 2555994 2572752 2581618 2596312 2600836 2617888 2628080 2664636 2685840 2690520 2721940 2732960 2780204 2786610 2804880 2858037 2869608 2879497 2909660 2914730 2921136 2931320 2972384 2978790 3008460 3020640 3055143 3108742 3133480 3153696 3164564 3177376 3215940 3245390 3251045 3266328 3272360 3330795 3331120 3407992 3438240 3468849 3475255 3491592 3497676 3517584 3529706 3552848 3587010 3587360 3622593 3651420 3675360 3715480 3760176 3773134 3810716 3826144 3872427 3894468 3901254 3926832 3942120 3955705 3971720 3997344 4011280 4073524 4082910 4099440 4170306 4219007 4259990 4287920 4355104 4364490 4372095 4396980 4441060 4458576 4543546 4625132 4655456 4663113 4663568 4700220 4746846 4763395 4766064 4782680 4813536 4830124 4868085 4868560 4908540 4996680 5025120 5091905 5111988 5145504 5163236 5192624 5201672 5256160 5294559 5329272 5371680 5381040 5443880 5537987 5560408 5573220 5609760 5659701 5716074 5739216 5758994 5781415 5819320 5829460 5842272 5862640 5957580 6016920 6037655 6110286 6217484 6266960 6329128 6389985 6431880 6454045 6490780 6502090 6532656 6544720 6661590 6662240 6815319 6815984 6937698 6950510 6983184 6995352 7035168 7059412 7105696 7174020 7245186 7302840 7430960 7520352 7546268 7621432 7744854 7771855 7788936 7802508 7853664 7884240 7911410 7943440 8022560 8093981 8147048 8165820 8198880 8340612 8438014 8452717 8519980 8575840 8638491 8728980 8744190 8793960 8824265 8882120 8917152 9035663 9087092 9250264 9326226 9327136 9400440 9432835 9493692 9526790 9532128 9565360 9660248 9736170 9737120 9753135 9817080 9993360 10183810 10223976 10326472 10385248 10403344 10425765 10589118 10658544 10762080 10887760 11075974 11120816 11146440 11319402 11358865 11432148 11478432 11517988 11562830 11638640 11658920 11725280 11867115 11915160 12033840 12075310 12220572 12353971 12434968 12533920 12657021 12658256 12779970 12863760 12908090 12981560 13004180 13065312 13089440 13205969 13323180 13630638 13631968 13875396 13901020 13966368 13990704 14118824 14290185 14348040 14397485 14490372 14605680 14861920 15031679 15092536 15242864 15275715 15489708 15543710 15577872 15605016 15768480 15822820 15886880 16187962 16294096 16331640 16613961 16681224 16876028 16905434 17039960 17276982 17344245 17457960 17488380 17587920 17648530 17764240 18071326 18112965 18174184 18500528 18652452 18800880 18865670 18987384 19053580 19130720 19320496 19362135 19472340 19506270 19634160 19986720 20156479 20367620 20447952 20652944 20806688 20851530 21095035 21178236 21317088 21775520 22151948 22241632 22292880 22638804 22717730 22864296 22943089 23035976 23125660 23277280 23315565 23317840 23734230 23830320 24067680 24150620 24281943 24441144 24525371 24707942 24869936 25314042 25316512 25358151 25559940 25727520 25816180 25963120 26008360 26411938 26472795 26646360 27106989 27261276 27689935 27750792 27802040 27981408 28237648 28298505 28580370 28696080 28794970 28980744 29211360 29533049 30063358 30185072 30485728 30551430 30979416 31087420 31155744 31210032 31645640 32375924 32588192 32663280 33227922 33362448 33532207 33752056 33810868 34076595 34079920 34553964 34688490 34915920 34976760 35175840 35297060 35528480 35844773 36142652 36225930 36348368 37001056 37061913 37304904 37433461 37601760 37731340 37974768 38107160 38640992 38724270 38944680 39012540 39268320 39617907 40312958 40469905 40735240 40895904 41305888 41703060 42190070 42263585 42356472 43192455 44303896 44585760 45095037 45178315 45277608 45435460 45728592 45886178 46071952 46251320 46631130 46635680 47468460 47660640 48301240 48563886 48882288 49050742 49415884 49739872 50628084 50716302 51119880 51632360 51926240 52016720 52823876 52945590 53292720 54213978 54522552 54710443 55379870 55501584 55604080 56475296 56597010 57160740 57392160 57589940 57961488 59066098 60126716 60370144 60469437 61102860 61769855 61958832 62174840 62420064 63285105 63291280 64751848 65326560 66029845 66455844 66724896 67064414 67504112 67621736 68153190 68159840 68829267 69107928 69376980 69831840 69953520 70594120 71689546 72285304 72451860 72696736 73576113 74123826 74609808 74866922 75158395 75462680 75949536 76214320 77448540 77889360 78025080 79235814 80625916 80939810 81470480 83069805 83406120 84380140 84527170 84712944 86384910 88599147 88607792 90190074 90356630 90555216 90870920 91457184 91772356 92143904 92502640 93262260 94936920 96602480 97127772 97764576 98101484 98831768 100596621 100782395 101256168 101432604 102239760 103264720 104033440 105221753 105647752 105891180 106585440 107534319 108427956 109045104 109420886 110759740 111003168 111208160 112300383 113194020 114321480 114715445 115179880 115922976 118132196 120253432 120938874 121409715 122205720 122626855 123539710 123917664 124349680 126570210 126582560 126790755 129503696 132059690 132911688 134128828 135008224 135243472 135534945 136306380 137658534 138215856 138753960 139907040 141188240 143379092 144570608 144903720 147152226 147665245 148247652 149219616 149733844 150316790 150925360 152428640 154897080 155778720 156050160 158471628 160601623 161251832 161879620 162940960 164131329 166139610 166812240 167661035 168760280 169054340 169425888 171677597 172769820 177198294 177215584 179223865 180380148 180713260 181110432 181741840 183544712 185005280 185309565 186524520 187167305 189873840 193204960 194255544 196202968 197663536 198089535 201193242 201564790 202512336 202865208 204479520 206529440 210443506 211295504 211782360 215068638 216855912 218090208 218841772 221519480 224600766 225475185 226388040 228642960 229430890 230359760 234725449 236264392 240506864 241877748 242819430 244411440 245253710 247079420 248699360 250913411 253140420 253581510 259007392 262034227 264119380 265823376 268257656 270486944 271069890 272612760 273552215 275317068 276431712 277507920 282376480 286758184 289141216 289807440 294304452 295330490 296495304 299467688 300633580 301850720 302347185 309794160 312100320 315665259 316943256 321203246 322503664 323759240 328262658 332279220 333624480 335322070 337520560 338108680 343355194 344146335 345539640 354396588 358447730 360760296 361426520 363483680 367089424 367880565 370619130 373049040 374334610 379747680 382973101 388511088 392405936 395327072 396179070 402386484 403129580 405024672 405730416 420887012 422591008 423564720 430137276 433711824 435918691 437683544 442995735 443038960 449201532 450950370 452776080 457285920 458861780 460719520 465982049 469450898 472528784 481013728 481804869 483755496 485638860 488822880 490507420 494158840 501826822 502983105 506280840 507163020 515032791 524068454 526108765 528238760 531646752 536515312 537671595 542139780 545225520 547104430 550634136 555015840 561501915 573516368 579614880 588608904 590660980 592990608 598935376 601267160 604694370 619588320 631330518 633886512 642406492 645007328 647518480 656525316 664558440 670644140 675041120 676217360 686710388 688292670 691079280 704176347 708793176 711235759 716895460 721520592 722853040 734178848 735761130 741238260 746098080 748669220 752740233 765946202 777022176 784811872 786102681 792358140 803008115 804772968 806259160 811460832 820656645 841774024 847129440 858387985 860274552 867423648 871837382 875367088 885991470 886077920 898403064 901900740 905552160 917723560 931964098 938901796 945057568 963609738 967510992 971277720 981014840 988317680 1003653644 1005966210 1012561680 1014326040 1030065582 1039498417 1048136908 1052217530 1056477520 1073030624 1075343190 1084279560 1090451040 1094208860 1101268272 1123003830 1147032736 1148919303 1173627245 1177217808 1181321960 1185981216 1197870752 1202534320 1209388740 1254567055 1262661036 1267773024 1284812984 1295036960 1307756073 1310171135 1313050632 1329116880 1341288280 1352434720 1373420776 1376585340 1382158560 1397946147 1408352694 1417586352 1422471518 1433790920 1443041184 1445706080 1471522260 1482476520 1497338440 1505480466 1531892404 1572205362 1578326295 1584716280 1606016230 1609545936 1612518320 1641313290 1683548048 1716775970 1720549104 1743674764 1750734176 1771982940 1796806128 1803801480 1835447120 1863928196 1877803592 1914865505 1927219476 1935021984 1942555440 1962029680 1976635360 2007307288 2011932420 2025123360 2028652080 2060131164 2078996834 2096273816 2104435060 2112955040 2133707277 2150686380 2168559120 2179593455 2188417720 2202536544 2246007660 2297838606 2329910245 2347254490 2354435616 2362643920 2405068640 2409024345 2418777480 2509134110 2525322072 2569625968 2575163955 2615512146 2620342270 2626101264 2658233760 2682576560 2746841552 2753170680 2795892294 2816705388 2835172704 2844943036 2867581840 2943044520 2964953040 2994676880 3010960932 3051430837 3063784808 3118495251 3144410724 3156652590 3169432560 3212032460 3219091872 3225036640 3261874343 3282626580 3367096096 3433551940 3441098208 3487349528 3520881735 3543965880 3556178795 3593612256 3607602960 3670894240 3727856392 3755607184 3763701165 3829731010 3854438952 3885110880 3924059360 3930513405 4014614576 4023864840 4057304160 4120262328 4157993668 4192547632 4208870120 4267414554 4301372760 4337118240 4359186910 4376835440 4492015320 4595677212 4659820490 4694508980 4725287840 4818048690 4837554960 4978650313 5018268220 5050644144 5139251936 5150327910 5197492085 5231024292 5240684540 5252202528 5365153120 5493683104 5506341360 5591784588 5633410776 5689886072 5735163680 5744596515 5886089040 5929906080 5989353760 6021921864 6102861674 6127569616 6236990502 6288821448 6313305180 6338865120 6424064920 6523748686 6538780365 6565253160 6867103880 6974699056 6989730735 7041763470 7087931760 7112357590 7215205920 7276488919 7455712784 7511214368 7527402330 7659462020 7708877904 7861026810 8029229152 8047729680 8240524656 8315987336 8385095264 8417740240 8534829108 8602745520 8718373820 8753670880 8984030640 9154292511 9191354424 9319640980 9389017960 9636097380 9675109920 9785623029 9957300626 10036536440 10101288288 10300655820 10394984170 10462048584 10481369080 10668536385 11012682720 11183569176 11266821552 11379772144 11489193030 11772178080 12043843728 12205723348 12255139232 12473981004 12577642896 12626610360 12848129840 13047497372 13077560730 13130506320 13513479421 13734207760 13949398112 13979461470 14083526940 14175863520 14224715180 14552977838 14911425568 14935950939 15054804660 15257154185 15318924040 15417755808 15592476255 15722053620 16095459360 16309371715 16481049312 16631974672 16835480480 17069658216 17205491040 17436747640 17968061280 18308585022 18382708848 18639281960 18778035920 19272194760 19571246058 19914601252 20073072880 20601311640 20789968340 20924097168 20962738160 21337072770 21829466757 22367138352 22533643104 22759544288 22978386060 24087687456 24411446696 24893251565 24947962008 25155285792 25253220720 25696259680 26094994744 26155121460 26261012640 27026958842 27468415520 27958922940 28167053880 28449430360 29105955676 29871901878 30109609320 30514308370 30637848080 31184952510 31444107240 32618743430 33263949344 34139316432 34873495280 36382444595 36617170044 36765417696 37278563920 37556071840 38544389520 39142492116 39829202504 40146145760 40540438263 41202623280 41579936680 41848194336 41925476320 42674145540 43658933514 44734276704 45771462555 45956772120 48822893392 48928115145 49786503130 49895924016 50506441440 52189989488 52310242920 54053917684 55917845880 56334107760 56898860720 58211911352 59743803756 60219218640 61028616740 61275696160 62369905020 62888214480 65237486860 67567397105 68278632864 69746990560 72764889190 73234340088 74557127840 74679754695 77088779040 78284984232 79658405008 81080876526 82405246560 83159873360 85348291080 87317867028 91542925110 91913544240 94594355947 97645786784 97856230290 99573006260 99791848032 104379978976 104620485840 108107835368 109147333785 111835691760 112668215520 113797721440 116423822704 119487607512 120438437280 122057233480 124739810040 125776428960 130474973720 135134794210 145529778380 146468680176 149359509390 156569968464 159316810016 162161753052 166319746720 170696582160 174635734056 183085850220 183827088480 189188711894 195712460580 199146012520 202702191315 209240971680 216215670736 218294667570 223671383520 232847645408 238975215024 244114466960 249479620080 260949947440 270269588420 283783067841 291059556760 292937360352 298719018780 313139936928 324323506104 341393164320 349271468112 366171700440 378377423788 391424921160 398292025040 405404382630 432431341472 436589335140 472971779735 477950430048 488228933920 498959240160 521899894880 540539176840 567566135682 582119113520 597438037560 648647012208 698542936224 732343400880 756754847576 782849842320 796584050080 810808765260 873178670280 945943559470 1081078353680 1135132271364 1164238227040 1194876075120 1297294024416 1418915339205 1464686801760 1513509695152 1565699684640 1621617530520 1746357340560 1891887118940 2162156707360 2270264542728 2389752150240 2837830678410 3027019390304 3243235061040 3492714681120 3783774237880 4540529085456 5675661356820 6486470122080 7567548475760 9081058170912 11351322713640 15135096951520 22702645427280 45405290854560
- Sum of all divisors σ(n): 198453393653760
- Sum of proper divisors (its aliquot sum) s(n): 153048102799200
- 45405290854560 is an abundant number, because the sum of its proper divisors (153048102799200) is greater than itself. Its abundance is 107642811944640
Bases of 45405290854560
- Binary: 10100101001011101111100011101101111000101000002
- Hexadecimal: 0x294BBE3B78A0
- Base-36: G3EWHUF1C
Squares and roots of 45405290854560
- 45405290854560 squared (454052908545602) is 2061640437587189975072793600
- 45405290854560 cubed (454052908545603) is 93609383706168713447782029616350498816000
-
The
square root of 45405290854560 is 6738344.8156472373 -
The
cube root of 45405290854560 is 35675.3974906543
Scales and comparisons
How big is 45405290854560?- 45,405,290,854,560 seconds is equal to 1,443,747 years, 41 weeks, 4 days, 16 hours, 56 minutes.
-
To count from 1 to 45,405,290,854,560 would take you about three million, six hundred nine thousand, three hundred sixty-nine 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 45405290854560 cubic inches would be around 2972.9 feet tall.
Recreational maths with 45405290854560
- 45405290854560 backwards is 06545809250454
- 45405290854560 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45405290854560'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 45405290854560 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 45405290854560 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/45405290854560/
Chicago style:
Numbermatics. 2024. "Number 45405290854560 - Facts about the integer". https://numbermatics.com/n/45405290854560/
The information we have on file for 45405290854560 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 45405290854560, math, Factors of 45405290854560, curriculum, school, college, exams, university, Prime factorization of 45405290854560, STEM, science, technology, engineering, physics, economics, calculator, forty-five trillion, four hundred five billion, two hundred ninety million, eight hundred fifty-four thousand, five hundred sixty.