40022564341760
40,022,564,341,760 is an even composite number composed of seven prime numbers multiplied together.
40022564341760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 40022564341760:
211 × 5 × 7 × 113 × 13 × 232 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 11 × 13 × 23 × 23 × 61)See below for interesting mathematical facts about the number 40022564341760 from the Numbermatics database.
Names of 40022564341760
- Cardinal: 40022564341760 can be written as Forty trillion, twenty-two billion, five hundred sixty-four million, three hundred forty-one thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.002256434176 × 1013
Factors of 40022564341760
Divisors of 40022564341760
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 23 26 28 32 35 40 44 46 52 55 56 61 64 65 70 77 80 88 91 92 104 110 112 115 121 122 128 130 140 143 154 160 161 176 182 184 208 220 224 230 242 244 253 256 260 280 286 299 305 308 320 322 352 364 368 385 416 427 440 448 455 460 484 488 506 512 520 529 560 572 598 605 610 616 640 644 671 704 715 728 736 770 793 805 832 847 854 880 896 910 920 968 976 1001 1012 1024 1040 1058 1120 1144 1196 1210 1220 1232 1265 1280 1288 1331 1342 1403 1408 1430 1456 1472 1495 1540 1573 1586 1610 1664 1694 1708 1760 1771 1792 1820 1840 1936 1952 2002 2024 2048 2080 2093 2116 2135 2240 2288 2392 2420 2440 2464 2530 2560 2576 2645 2662 2684 2783 2806 2816 2860 2912 2944 2990 3080 3146 3172 3220 3289 3328 3355 3388 3416 3520 3542 3584 3640 3680 3703 3872 3904 3965 4004 4048 4160 4186 4232 4235 4270 4480 4576 4697 4784 4840 4880 4928 5005 5060 5120 5152 5290 5324 5368 5551 5566 5612 5632 5720 5819 5824 5888 5980 6160 6292 6344 6440 6578 6655 6656 6710 6776 6832 6877 7015 7040 7084 7168 7280 7360 7381 7406 7744 7808 7865 7930 8008 8096 8320 8372 8464 8470 8540 8723 8855 8960 9152 9317 9394 9568 9680 9760 9821 9856 10010 10120 10240 10304 10465 10580 10648 10736 11011 11102 11132 11224 11264 11440 11638 11648 11776 11960 12320 12584 12688 12880 13156 13310 13312 13420 13552 13664 13754 13915 14030 14080 14168 14336 14560 14720 14762 14812 15433 15488 15616 15730 15860 16016 16192 16445 16640 16744 16928 16940 17080 17303 17446 17710 17920 18239 18304 18515 18634 18788 19136 19360 19481 19520 19642 19712 20020 20240 20608 20930 21160 21296 21472 22022 22204 22264 22448 22528 22880 23023 23276 23296 23485 23552 23920 24640 25168 25376 25760 26312 26620 26624 26840 27104 27328 27508 27755 27830 28060 28160 28336 29095 29120 29440 29524 29624 30613 30866 30976 31232 31460 31720 32032 32269 32384 32890 33280 33488 33856 33880 34160 34385 34606 34892 35420 35840 36179 36478 36608 36905 37030 37268 37576 38272 38720 38962 39040 39284 39424 40040 40480 40733 41216 41860 42320 42592 42944 43615 44044 44408 44528 44896 45760 46046 46552 46585 46592 46970 47104 47840 48139 49105 49280 50336 50752 51520 51667 52624 53240 53680 54208 54656 55016 55055 55510 55660 56120 56320 56672 58190 58240 58880 59048 59248 61061 61226 61732 61952 62464 62920 63440 64009 64064 64538 64768 65780 66560 66976 67712 67760 68320 68770 69212 69784 70840 71680 72358 72956 73216 73810 74060 74536 75152 75647 76544 77165 77440 77924 78080 78568 78848 80080 80960 81191 81466 82432 83720 84640 85184 85888 86515 87230 88088 88816 89056 89792 91195 91520 92092 93104 93170 93184 93940 95680 95953 96278 97405 98210 98560 100672 101504 103040 103334 105248 106480 107360 108031 108416 109312 110032 110110 111020 111320 112240 112640 113344 115115 116380 116480 117760 118096 118496 121121 122122 122452 123464 123904 124928 125840 126880 127673 128018 128128 129076 129536 131560 133120 133952 135424 135520 136640 137540 138424 139568 141680 144716 145912 146432 147620 148120 149072 150304 151294 153065 153088 154330 154880 155848 156160 157136 157696 160160 161345 161920 162382 162932 164864 167440 169280 169763 170368 171776 173030 174460 176176 177632 178112 179584 180895 182390 183040 184184 186208 186340 186368 187880 191360 191906 192556 194810 196420 197120 200629 201344 203008 203665 206080 206668 210496 212960 214291 214720 216062 216832 218624 220064 220220 222040 222640 224480 225883 226688 230230 232760 232960 235520 236192 236992 240695 242242 244244 244904 246928 247808 251680 253253 253760 255346 256036 256256 258152 258335 259072 263120 267904 270848 271040 273280 275080 276848 279136 283360 289432 291824 292864 295240 296240 298144 300608 302588 305305 306130 306176 308660 309760 311696 312320 314272 320045 320320 322690 323840 324764 325864 329728 334880 338560 339526 340736 343552 346060 348920 352352 354959 355264 356224 359168 361790 364780 366080 368368 372416 372680 375760 378235 382720 383812 385112 389620 392840 394240 397969 401258 402688 405955 406016 407330 412160 413336 419497 420992 425920 428582 429440 432124 433664 437248 440128 440440 444080 445280 448063 448960 451766 453376 460460 465520 465920 472384 473984 479765 481390 484484 488488 489808 493856 503360 506506 507520 510692 512072 512512 516304 516670 518144 526240 529529 535808 540155 541696 542080 546560 550160 553696 558272 566720 568337 578864 583648 590480 592480 596288 601216 605176 605605 610610 612260 612352 617320 619520 623392 624640 628544 638365 640090 640640 645380 647680 649528 651728 669760 671671 677120 679052 681472 687104 692120 697840 704099 704704 709918 710528 712448 718336 723580 729560 732160 736736 744832 745360 751520 756470 765440 767624 770224 779240 785680 788480 795938 802516 805376 811910 812032 814660 824320 826672 832117 838994 841984 848815 851840 857164 858880 864248 867328 874496 880256 880880 888160 890560 896126 897920 903532 906752 920920 931040 931840 944768 947968 959530 962780 968968 976976 979616 987712 1003145 1006720 1013012 1015040 1021384 1024144 1025024 1032608 1033340 1052480 1055483 1059058 1071455 1071616 1080310 1083392 1084160 1093120 1100320 1107392 1116544 1129415 1133440 1136674 1157728 1167296 1180960 1184960 1188341 1192576 1202432 1210352 1211210 1221220 1224520 1234640 1239040 1246784 1257088 1266265 1276730 1280180 1281280 1290760 1295360 1299056 1303456 1339520 1343342 1354240 1358104 1362944 1374208 1384240 1395680 1404403 1408198 1409408 1419836 1421056 1424896 1436672 1447160 1459120 1464320 1473472 1489664 1490720 1503040 1512940 1530880 1535248 1540448 1558480 1571360 1591876 1605032 1610752 1623820 1624064 1629320 1648640 1653344 1664234 1677988 1683968 1697630 1703680 1714328 1717760 1728496 1734656 1760512 1761760 1774795 1776320 1781120 1792252 1795840 1807064 1813504 1841840 1862080 1867393 1889536 1895936 1919060 1925560 1937936 1953952 1959232 1975424 1989845 2006290 2013440 2026024 2030080 2042768 2048288 2050048 2065216 2066680 2097485 2104960 2110966 2118116 2142910 2143232 2160620 2168320 2186240 2200640 2206919 2214784 2233088 2240315 2258830 2266880 2273348 2315456 2334592 2361920 2369920 2376682 2385152 2404864 2420704 2422420 2442440 2449040 2469280 2484713 2493568 2514176 2532530 2553460 2560360 2562560 2581520 2590720 2598112 2606912 2647645 2679040 2686684 2708480 2716208 2725888 2768480 2785783 2791360 2808806 2816396 2818816 2839672 2841685 2842112 2849792 2873344 2894320 2918240 2936479 2946944 2979328 2981440 3006080 3025880 3061760 3070496 3080896 3116960 3142720 3183752 3210064 3221504 3247640 3258640 3306688 3328468 3355976 3358355 3367936 3395260 3407360 3428656 3435520 3456992 3520495 3521024 3523520 3549590 3552640 3562240 3584504 3591680 3614128 3627008 3683680 3724160 3734786 3779072 3791872 3838120 3851120 3875872 3904549 3907904 3918464 3950848 3979690 4012580 4026880 4052048 4060160 4085536 4096576 4130432 4133360 4160585 4194970 4209920 4221932 4236232 4285820 4286464 4321240 4336640 4372480 4401280 4413838 4429568 4466176 4480630 4517660 4533760 4546696 4614467 4630912 4669184 4723840 4739840 4753364 4770304 4809728 4841408 4844840 4884880 4898080 4928693 4938560 4969426 4987136 5028352 5065060 5106920 5120720 5125120 5163040 5196224 5213824 5277415 5295290 5358080 5373368 5416960 5432416 5536960 5571566 5582720 5617612 5632792 5637632 5679344 5683370 5684224 5699584 5788640 5824819 5836480 5872958 5893888 5941705 5958656 5962880 6012160 6051760 6140992 6161792 6233920 6285440 6367504 6420128 6495280 6517280 6613376 6656936 6711952 6716710 6735872 6790520 6814720 6857312 6871040 6913984 7022015 7040990 7042048 7047040 7099180 7105280 7124480 7169008 7183360 7228256 7367360 7388381 7448320 7469572 7558144 7583744 7676240 7702240 7751744 7809098 7815808 7836928 7901696 7959380 8025160 8053760 8104096 8120320 8171072 8193152 8260864 8266720 8321170 8389940 8419840 8443864 8472464 8571640 8642480 8673280 8802560 8827676 8859136 8932352 8961260 9035320 9067520 9093392 9153287 9228934 9261824 9336965 9338368 9447680 9479680 9506728 9540608 9619456 9682816 9689680 9769760 9796160 9857386 9877120 9938852 9974272 10056704 10130120 10213840 10241440 10250240 10326080 10392448 10427648 10554830 10590580 10716160 10746736 10864832 11034595 11073920 11143132 11165440 11235224 11265584 11275264 11358688 11366740 11368448 11577280 11649638 11672960 11745916 11787776 11883410 11917312 11925760 12024320 12103520 12281984 12323584 12423565 12467840 12570880 12735008 12840256 12990560 13034560 13071751 13226752 13313872 13423904 13433420 13581040 13629440 13714624 13827968 13928915 14044030 14081980 14084096 14094080 14198360 14210560 14248960 14338016 14366720 14456512 14682395 14734720 14776762 14896640 14939144 15116288 15352480 15404480 15448433 15503488 15618196 15631616 15673856 15803392 15918760 16050320 16107520 16208192 16342144 16386304 16521728 16533440 16642340 16779880 16839680 16887728 16944928 17143280 17284960 17605120 17655352 17718272 17864704 17922520 18070640 18135040 18186784 18306574 18457868 18523648 18673930 18676736 18895360 18959360 19013456 19081216 19365632 19379360 19522745 19539520 19592320 19714772 19754240 19877704 19948544 20113408 20260240 20427680 20482880 20652160 20784896 20855296 21109660 21181160 21432320 21493472 21729664 22069190 22147840 22286264 22330880 22470448 22531168 22550528 22717376 22733480 23072335 23154560 23299276 23345920 23491832 23575552 23766820 23851520 24048640 24207040 24276109 24563968 24643465 24647168 24847130 24935680 25141760 25470016 25680512 25981120 26069120 26143502 26453504 26627744 26847808 26866840 27162080 27331843 27429248 27655936 27857830 28088060 28163960 28188160 28396720 28421120 28497920 28676032 28913024 29124095 29364790 29469440 29553524 29793280 29878288 30704960 30808960 30896866 31006976 31236392 31263232 31347712 31606784 31837520 32100640 32301269 32416384 32684288 32772608 33043456 33066880 33284680 33559760 33679360 33775456 33889856 34286560 34569920 35210240 35310704 35436544 35845040 36141280 36373568 36613148 36915736 36941905 37047296 37347860 37353472 37790720 37918720 38026912 38731264 38758720 39045490 39079040 39184640 39429544 39508480 39755408 39897088 40520480 40855360 40965760 41304320 41569792 41710592 42219320 42362320 42950039 42986944 43459328 44138380 44295680 44572528 44661760 44940896 45062336 45434752 45466960 45766435 46144670 46309120 46598552 46691840 46983664 47151104 47533640 47703040 48097280 48414080 48552218 49127936 49286930 49294336 49694260 49871360 50283520 50759137 50940032 51361024 51962240 52138240 52287004 52907008 53255488 53695616 53733680 54324160 54663686 54858496 55311872 55715660 56176120 56327920 56376320 56793440 56842240 57352064 57826048 58248190 58729580 58938880 59107048 59586560 59756576 61409920 61617920 61793732 62013952 62472784 62526464 62695424 63675040 64073009 64201280 64602538 64832768 65358755 65368576 65545216 66086912 66133760 66569360 67119520 67550912 67779712 68573120 69139840 70420480 70621408 71690080 72282560 72747136 73226296 73831472 73883810 74094592 74695720 75581440 76053824 77242165 77462528 77517440 78090980 78158080 78369280 78859088 79016960 79510816 81040960 81710720 81931520 82608640 83139584 83421184 84438640 84724640 85900078 85973888 86918656 88276760 88591360 89145056 89323520 89881792 90124672 90869504 90933920 91532870 92289340 92618240 93197104 93383680 93967328 95067280 95406080 96828160 97104436 98255872 98573860 98588672 99388520 99742720 100567040 101518274 101880064 102722048 103924480 104276480 104574008 105814016 106510976 107391232 107467360 108648320 109327372 109716992 110623744 111431320 112352240 112655840 112752640 113586880 114704128 115652096 116496380 117459160 117877760 118214096 119513152 121380545 122819840 123235840 123587464 124027904 124945568 125052928 127350080 128146018 128402560 129205076 129665536 130717510 130737152 131090432 132267520 133138720 134239040 135101824 135559424 136659215 137146240 138279680 141242816 143380160 144565120 145494272 146452592 147662944 147767620 149391440 152107648 154484330 154925056 155034880 156181960 156316160 156738560 157718176 158033920 159021632 161506345 162081920 163421440 163863040 165217280 166279168 168877280 169449280 169932763 171800156 171947776 173837312 176553520 177182720 178290112 179763584 180249344 181739008 181867840 183065740 184578680 185236480 186394208 186767360 187934656 190134560 193656320 194208872 196511744 197147720 198777040 199485440 203036548 203760128 205444096 207848960 208552960 209148016 213021952 214750195 214782464 214934720 217296640 218654744 219433984 221247488 222862640 224704480 225311680 227173760 229408256 231304192 232992760 234918320 235755520 236428192 239026304 242761090 245639680 246471680 247174928 248055808 249891136 253795685 254700160 256292036 256805120 258410152 259331072 261435020 261474304 264535040 266277440 268478080 270203648 271118848 273318430 274292480 276559360 282485632 286760320 289130240 290988544 292905184 295325888 295535240 298782880 300650273 304215296 308968660 310069760 312363920 312632320 313477120 315436352 318043264 320365045 323012690 324163840 326842880 327726080 330434560 337754560 338898560 339865526 343600312 343895552 347674624 353107040 355313959 356580224 359527168 360498688 363478016 363735680 366131480 369157360 370472960 372788416 375869312 380269120 387312640 388417744 394295440 397554080 406073096 407520256 410888192 415697920 417105920 418296032 426043904 429500390 429564928 429869440 434593280 437309488 438867968 445725280 449408960 450623360 454347520 458816512 462608384 465985520 469836640 472856384 478052608 485522180 491279360 492943360 494349856 499782272 507591370 509400320 512584072 513610240 516820304 518662144 522870040 529070080 532554880 536956160 540407296 542237696 546636860 548584960 553118720 558350507 564971264 573520640 578260480 581977088 585810368 590651776 591070480 597565760 601300546 608430592 617937320 620139520 624727840 625264640 630872704 636086528 640730090 646025380 648327680 653685760 655452160 675509120 677797120 679731052 687200624 687791104 706214080 710627918 713160448 719054336 720997376 726956032 727471360 732262960 738314720 745576832 751738624 760538240 774625280 776835488 788590880 795108160 812146192 815040512 831395840 836592064 849663815 852087808 859000780 859129856 859738880 869186560 874618976 891450560 898817920 901246720 908695040 917633024 931971040 939673280 945712768 956105216 971044360 982558720 988699712 999564544 1015182740 1018800640 1025168144 1027220480 1033640608 1045740080 1065109760 1073912320 1080814592 1084475392 1093273720 1097169920 1106237440 1116701014 1129942528 1147041280 1156520960 1163954176 1171620736 1181303552 1182140960 1195131520 1202601092 1216861184 1235874640 1240279040 1249455680 1261745408 1272173056 1281460180 1292050760 1296655360 1307371520 1351018240 1355594240 1359462104 1374401248 1375582208 1412428160 1421255836 1426320896 1438108672 1441994752 1454942720 1464525920 1476629440 1491153664 1503251365 1503477248 1521076480 1553670976 1577181760 1590216320 1624292384 1673184128 1699327630 1704175616 1718001560 1719477760 1738373120 1749237952 1776569795 1782901120 1797635840 1802493440 1817390080 1863942080 1879346560 1891425536 1912210432 1942088720 1977399424 1999129088 2030365480 2037601280 2050336288 2054440960 2067281216 2091480160 2130219520 2147824640 2161629184 2186547440 2194339840 2233402028 2259885056 2294082560 2313041920 2343241472 2362607104 2364281920 2390263040 2405202184 2433722368 2471749280 2498911360 2523490816 2544346112 2562920360 2584101520 2593310720 2702036480 2711188480 2718924208 2748802496 2791752535 2824856320 2842511672 2852641792 2876217344 2909885440 2929051840 2953258880 2982307328 3006502730 3006954496 3042152960 3107341952 3154363520 3180432640 3248584768 3346368256 3398655260 3436003120 3438955520 3498475904 3553139590 3565802240 3595271680 3604986880 3634780160 3727884160 3758693120 3782851072 3824420864 3884177440 3908453549 3954798848 3998258176 4060730960 4075202560 4100672576 4134562432 4182960320 4260439040 4295649280 4373094880 4466804056 4519770112 4588165120 4686482944 4725214208 4728563840 4780526080 4810404368 4943498560 4997822720 5046981632 5088692224 5125840720 5168203040 5404072960 5422376960 5437848416 5497604992 5583505070 5649712640 5685023344 5705283584 5819770880 5858103680 5906517760 5964614656 6013005460 6013908992 6084305920 6214683904 6308727040 6360865280 6497169536 6692736512 6797310520 6872006240 6877911040 6996951808 7106279180 7131604480 7190543360 7209973760 7455768320 7517386240 7565702144 7768354880 7816907098 7909597696 7996516352 8121461920 8201345152 8269124864 8365920640 8520878080 8746189760 8933608112 9372965888 9450428416 9457127680 9561052160 9620808736 9886997120 9995645440 10093963264 10251681440 10336406080 10808145920 10875696832 10995209984 11167010140 11299425280 11370046688 11716207360 11813035520 11929229312 12026010920 12168611840 12429367808 12617454080 12721730560 12994339072 13385473024 13594621040 13744012480 13993903616 14212558360 14263208960 14381086720 14911536640 15034772480 15131404288 15536709760 15633814196 15819195392 16242923840 16402690304 16538249728 16731841280 17492379520 17867216224 18745931776 18914255360 19122104320 19241617472 19542267745 19773994240 19991290880 20503362880 20672812160 21751393664 21990419968 22334020280 22598850560 22740093376 23432414720 23626071040 24052021840 24858735616 25234908160 25443461120 25988678144 26770946048 27189242080 27488024960 27987807232 28425116720 28526417920 29823073280 30069544960 31073419520 31267628392 31638390784 32485847680 32805380608 33076499456 33463682560 34984759040 35734432448 37828510720 38483234944 39084535490 39547988480 39982581760 41006725760 41345624320 43502787328 43980839936 44668040560 45480186752 46864829440 47252142080 48104043680 49717471232 50469816320 51977356288 54378484160 54976049920 55975614464 56850233440 59646146560 62146839040 62535256784 64971695360 65610761216 66152998912 66927365120 69969518080 71468864896 75657021440 76966469888 78169070980 79095976960 82013451520 82691248640 87005574656 87961679872 89336081120 90960373504 93729658880 96208087360 103954712576 108756968320 109952099840 113700466880 124293678080 125070513568 129943390720 131221522432 133854730240 139939036160 142937729792 153932939776 156338141960 158191953920 164026903040 165382497280 174011149312 178672162240 181920747008 192416174720 217513936640 219904199680 227400933760 248587356160 250141027136 259886781440 279878072320 285875459584 307865879552 312676283920 328053806080 330764994560 348022298624 357344324480 363841494016 384832349440 435027873280 439808399360 454801867520 500282054272 519773562880 571750919168 615731759104 625352567840 656107612160 714688648960 727682988032 769664698880 870055746560 909603735040 1000564108544 1143501838336 1250705135680 1429377297920 1539329397760 1740111493120 1819207470080 2001128217088 2501410271360 2858754595840 3078658795520 3638414940160 4002256434176 5002820542720 5717509191680 8004512868352 10005641085440 20011282170880 40022564341760
- Sum of all divisors σ(n): 138127794255360
- Sum of proper divisors (its aliquot sum) s(n): 98105229913600
- 40022564341760 is an abundant number, because the sum of its proper divisors (98105229913600) is greater than itself. Its abundance is 58082665571840
Bases of 40022564341760
- Binary: 10010001100110011110101011101100001000000000002
- Hexadecimal: 0x24667ABB0800
- Base-36: E6Q41GGE8
Squares and roots of 40022564341760
- 40022564341760 squared (400225643417602) is 1601805656490319062079897600
- 40022564341760 cubed (400225643417603) is 64108369949878911204644117465872203776000
-
The
square root of 40022564341760 is 6326338.9366805191 -
The
cube root of 40022564341760 is 34205.9484716433
Scales and comparisons
How big is 40022564341760?- 40,022,564,341,760 seconds is equal to 1,272,593 years, 38 weeks, 6 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 40,022,564,341,760 would take you about three million, one hundred eighty-one thousand, four hundred eighty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 40022564341760 cubic inches would be around 2850.5 feet tall.
Recreational maths with 40022564341760
- 40022564341760 backwards is 06714346522004
- 40022564341760 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40022564341760's digits is 44
- 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 40022564341760 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 40022564341760 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/40022564341760/
Chicago style:
Numbermatics. 2024. "Number 40022564341760 - Facts about the integer". https://numbermatics.com/n/40022564341760/
The information we have on file for 40022564341760 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 40022564341760, math, Factors of 40022564341760, curriculum, school, college, exams, university, Prime factorization of 40022564341760, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, twenty-two billion, five hundred sixty-four million, three hundred forty-one thousand, seven hundred sixty.