43678314301440
43,678,314,301,440 is an even composite number composed of eight prime numbers multiplied together.
43678314301440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 43678314301440:
211 × 3 × 5 × 7 × 13 × 372 × 101 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 37 × 37 × 101 × 113)See below for interesting mathematical facts about the number 43678314301440 from the Numbermatics database.
Names of 43678314301440
- Cardinal: 43678314301440 can be written as Forty-three trillion, six hundred seventy-eight billion, three hundred fourteen million, three hundred one thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.367831430144 × 1013
Factors of 43678314301440
Divisors of 43678314301440
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 37 39 40 42 48 52 56 60 64 65 70 74 78 80 84 91 96 101 104 105 111 112 113 120 128 130 140 148 156 160 168 182 185 192 195 202 208 210 222 224 226 240 256 259 260 273 280 296 303 312 320 336 339 364 370 384 390 404 416 420 444 448 452 455 480 481 505 512 518 520 546 555 560 565 592 606 624 640 672 678 707 728 740 768 777 780 791 808 832 840 888 896 904 910 960 962 1010 1024 1036 1040 1092 1110 1120 1130 1184 1212 1248 1280 1295 1313 1344 1356 1365 1369 1414 1443 1456 1469 1480 1515 1536 1554 1560 1582 1616 1664 1680 1695 1776 1792 1808 1820 1920 1924 2020 2048 2072 2080 2121 2184 2220 2240 2260 2368 2373 2405 2424 2496 2560 2590 2626 2688 2712 2730 2738 2828 2886 2912 2938 2960 3030 3072 3108 3120 3164 3232 3328 3360 3367 3390 3535 3552 3584 3616 3640 3737 3840 3848 3885 3939 3955 4040 4107 4144 4160 4181 4242 4368 4407 4440 4480 4520 4736 4746 4810 4848 4992 5120 5180 5252 5376 5424 5460 5476 5656 5772 5824 5876 5920 6060 6144 6216 6240 6328 6464 6565 6656 6720 6734 6780 6845 7070 7104 7168 7215 7232 7280 7345 7474 7680 7696 7770 7878 7910 8080 8214 8288 8320 8362 8484 8736 8814 8880 8960 9040 9191 9472 9492 9583 9620 9696 9984 10101 10240 10283 10360 10504 10605 10752 10848 10920 10952 11211 11312 11413 11544 11648 11752 11840 11865 12120 12432 12480 12543 12656 12928 13130 13312 13440 13468 13560 13690 14140 14208 14336 14430 14464 14560 14690 14948 15360 15392 15540 15756 15820 16160 16428 16576 16640 16724 16835 16968 17472 17628 17760 17797 17920 18080 18382 18685 18944 18984 19166 19240 19392 19695 19968 20202 20535 20566 20720 20905 21008 21210 21504 21696 21840 21904 22035 22422 22624 22826 23088 23296 23504 23680 23730 24240 24864 24960 25086 25312 25856 26159 26260 26624 26880 26936 27120 27380 27573 28280 28416 28749 28860 28928 29120 29267 29380 29896 30720 30784 30849 31080 31512 31640 32320 32856 33152 33280 33448 33670 33936 34239 34944 35256 35520 35594 35840 36160 36764 37370 37888 37968 38332 38480 38784 39390 39936 40404 41070 41132 41440 41810 42016 42420 43008 43392 43680 43808 44070 44844 45248 45652 45955 46176 46592 47008 47360 47460 47915 48480 48581 49728 49920 50172 50505 50624 51415 51712 52318 52520 53391 53760 53872 54240 54353 54760 55146 56055 56560 56832 57065 57498 57720 57856 58240 58534 58760 59792 61568 61698 62160 62715 63024 63280 64640 65712 66304 66560 66896 67340 67872 68478 69888 70512 71040 71188 71680 72320 73528 74740 75776 75936 76664 76960 77568 78477 78780 79872 79891 80808 82140 82264 82880 83620 84032 84840 86784 87360 87616 87801 88140 88985 89688 90496 91304 91910 92352 93184 94016 94720 94920 95830 96960 97162 99456 99840 100344 101010 101248 102830 103424 104636 105040 106782 107520 107744 108480 108706 109520 110292 112110 113120 113664 114130 114996 115440 115712 116480 117068 117520 119584 123136 123396 124320 124579 125430 126048 126560 129280 130795 131424 132608 133120 133792 134680 135744 136956 137865 138269 139776 141024 142080 142376 143745 144640 145743 146335 147056 148369 149480 151872 153328 153920 154245 154697 155136 156954 157560 159782 161616 163059 164280 164528 165760 167240 168064 169680 171195 173568 174720 175232 175602 176280 177970 179376 180992 182608 183820 184704 186368 188032 189440 189840 191660 193920 194324 198912 199680 200688 202020 202496 205660 206848 209272 210080 213564 215040 215488 216960 217412 219040 220584 224220 226240 227328 228260 229992 230880 231424 232960 234136 235040 239168 239673 242905 246272 246792 248640 249158 250860 252096 253120 258560 261590 262848 265216 266955 267584 269360 271488 271765 273912 275730 276538 279552 282048 284160 284752 287490 289280 291486 292670 294112 296738 298960 303744 306656 307840 308490 309394 310272 313908 315120 319564 323232 326118 328560 329056 331520 334480 336128 339360 340067 342390 347136 349440 350464 351204 352560 355940 358752 361984 365216 367640 369408 373737 376064 378880 379680 380471 383320 387840 388648 392385 397824 399360 399455 401376 404040 404992 411320 414807 418544 420160 422281 427128 430976 433920 434824 438080 439005 441168 445107 448440 452480 456520 459984 461760 464091 465920 468272 470080 478336 479346 485810 492544 493584 497280 498316 501720 504192 506240 517120 523180 525696 530432 533910 535168 538720 542976 543530 547824 551460 553076 559104 564096 568320 569504 574980 578560 582972 585340 588224 593476 597920 607488 613312 615680 616980 618788 620544 622895 627816 630240 639128 646464 652236 657120 658112 663040 668960 672256 678720 680134 684780 691345 694272 698880 700928 702408 705120 711880 717504 723968 728715 730432 735280 738816 741845 747474 752128 759360 760942 766640 773485 775680 777296 784770 795648 798910 802752 808080 809984 815295 822640 829614 837088 840320 844562 854256 861952 867840 869648 876160 878010 882336 890214 896880 904960 913040 919968 923520 928182 931840 936544 940160 956672 958692 967883 971620 985088 987168 994560 996632 1003440 1008384 1012480 1020201 1034240 1038583 1046360 1051392 1067820 1070336 1077440 1082879 1085952 1087060 1095648 1102920 1106152 1128192 1136640 1139008 1141413 1149960 1157120 1165944 1170680 1176448 1186952 1195840 1198365 1214976 1226624 1231360 1233960 1237576 1245790 1255632 1260480 1266843 1278256 1292928 1304472 1314240 1316224 1326080 1337920 1344512 1357440 1360268 1369560 1382690 1397760 1401856 1404816 1410240 1423760 1435008 1447936 1457430 1460864 1470560 1477632 1483690 1494948 1504256 1518720 1521884 1533280 1546970 1551360 1554592 1569540 1591296 1597820 1605504 1616160 1619968 1630590 1645280 1659228 1674176 1680640 1689124 1700335 1708512 1723904 1735680 1739296 1752320 1756020 1764672 1780428 1793760 1797497 1809920 1826080 1839936 1847040 1856364 1868685 1873088 1880320 1902355 1913344 1917384 1935766 1943240 1974336 1989120 1993264 2006880 2011061 2016768 2024960 2040402 2074035 2077166 2092720 2102784 2111405 2135640 2140672 2154880 2165758 2171904 2174120 2191296 2205840 2212304 2225535 2256384 2278016 2282826 2299920 2320455 2331888 2341360 2352896 2373904 2391680 2396730 2429952 2453248 2462720 2467920 2475152 2491580 2511264 2520960 2533686 2556512 2585856 2608944 2628480 2632448 2652160 2675840 2689024 2714880 2720536 2739120 2765380 2795520 2803712 2809632 2820480 2847520 2870016 2903649 2914860 2921728 2941120 2955264 2955967 2967380 2989896 3008512 3037440 3043768 3066560 3093940 3102720 3109184 3115749 3139080 3195640 3211008 3232320 3248637 3261180 3290560 3318456 3348352 3361280 3378248 3400670 3417024 3447808 3471360 3478592 3504640 3512040 3529344 3560856 3587520 3594994 3619840 3652160 3679872 3694080 3712728 3737370 3746176 3760640 3804710 3826688 3834768 3871532 3886480 3948672 3978240 3986528 4013760 4022122 4033536 4049920 4080804 4148070 4154332 4185440 4205568 4222810 4271280 4281344 4309760 4331516 4343808 4348240 4382592 4411680 4424608 4451070 4512768 4556032 4565652 4599840 4640910 4663776 4682720 4705792 4747808 4783360 4793460 4839415 4859904 4906496 4925440 4935840 4950304 4983160 5022528 5041920 5067372 5101005 5113024 5171712 5192915 5217888 5256960 5264896 5351680 5392491 5414395 5429760 5441072 5478240 5489653 5530760 5619264 5640960 5695040 5707065 5740032 5807298 5829720 5843456 5882240 5911934 5934760 5979792 6033183 6074880 6087536 6133120 6187880 6218368 6231498 6278160 6334215 6391280 6422016 6464640 6497274 6522360 6581120 6636912 6696704 6722560 6756496 6801340 6834048 6895616 6957184 7009280 7024080 7058688 7121712 7175040 7189988 7239680 7304320 7359744 7388160 7425456 7474740 7492352 7521280 7609420 7653376 7669536 7743064 7772960 7897344 7956480 7973056 8027520 8044244 8067072 8099840 8161608 8296140 8308664 8370880 8411136 8445620 8542560 8562688 8619520 8663032 8696480 8765184 8823360 8849216 8867901 8902140 8987485 9025536 9112064 9131304 9199680 9281820 9327552 9365440 9411584 9495616 9566720 9586920 9678830 9812992 9871680 9900608 9966320 10045056 10055305 10083840 10134744 10202010 10226048 10343424 10385830 10435776 10513920 10529792 10703360 10784982 10828790 10859520 10882144 10956480 10979306 11061520 11238528 11281920 11390080 11414130 11480064 11614596 11659440 11686912 11764480 11823868 11869520 11959584 12066366 12149760 12175072 12266240 12375760 12436736 12462996 12556320 12582479 12668430 12782560 12844032 12929280 12994548 13044720 13162240 13273824 13393408 13445120 13512992 13602680 13668096 13914368 14018560 14048160 14077427 14117376 14243424 14350080 14379976 14518245 14608640 14719488 14776320 14779835 14850912 14949480 14984704 15042560 15218840 15339072 15486128 15545920 15578745 15624397 15794688 15946112 16055040 16088488 16243185 16323216 16468959 16592280 16617328 16741760 16891240 17085120 17239040 17326064 17392960 17530368 17646720 17698432 17735802 17804280 17974970 18224128 18262608 18399360 18563640 18655104 18730880 18823168 18991232 19133440 19173840 19357660 19625984 19743360 19801216 19932640 20090112 20110610 20167680 20269488 20404020 20452096 20686848 20771660 20871552 21027840 21059584 21406720 21569964 21657580 21719040 21764288 21912960 21958612 22123040 22477056 22563840 22780160 22828260 22960128 23229192 23318880 23373824 23528960 23647736 23739040 23919168 24132732 24299520 24350144 24532480 24751520 24873472 24925992 25112640 25164958 25336860 25565120 25688064 25858560 25989096 26089440 26324480 26547648 26786816 26962455 27025984 27205360 27336192 27448265 27828736 28096320 28154854 28234752 28486848 28700160 28759952 29036490 29217280 29438976 29559670 29701824 29898960 29969408 30165915 30437680 30678144 30972256 31091840 31157490 31248794 31589376 31892224 32110080 32176976 32486370 32646432 32937918 33184560 33234656 33483520 33782480 34170240 34478080 34652128 34785920 35060736 35293440 35396864 35471604 35608560 35949940 36448256 36525216 36798720 37127280 37310208 37461760 37747437 37982464 38266880 38347680 38427571 38715320 39486720 39602432 39865280 40180224 40221220 40335360 40538976 40808040 40904192 41543320 41743104 42055680 42232281 42813440 43139928 43315160 43528576 43825920 43917224 44246080 44339505 44954112 45127680 45560320 45656520 46458384 46637760 46873191 47057920 47295472 47478080 47838336 48265464 48700288 49064960 49503040 49746944 49851984 50225280 50329916 50673720 51130240 51717120 51978192 52178880 52648960 53095296 53573632 53924910 54051968 54410720 54672384 54896530 55657472 56192640 56309708 56469504 56973696 57400320 57519904 58072980 58434560 58877952 59119340 59403648 59797920 59938816 60331830 60875360 61356288 61944512 62183680 62314980 62497588 62912395 63178752 63784448 64220160 64353952 64972740 65292864 65875836 66369120 66469312 66967040 67564960 68340480 69304256 69571840 70121472 70387135 70586880 70793728 70943208 71217120 71899880 73050432 73597440 74254560 74620416 74923520 75494874 75964928 76695360 76855142 77430640 78121985 78973440 79204864 79730560 80360448 80442440 81077952 81616080 81808384 82344795 83086640 83486208 84464562 86279856 86630320 87057152 87651840 87834448 88492160 88679010 89908224 91120640 91313040 92916768 93275520 93746382 94115840 94590944 94956160 95676672 96530928 97400576 98129920 99006080 99493888 99703968 100450560 100659832 101347440 102260480 103434240 103956384 104357760 105297920 106190592 107849820 108103936 108821440 109344768 109370779 109793060 111314944 112385280 112619416 113947392 114800640 115039808 115282713 116145960 116869120 118238680 118807296 119595840 120663660 121750720 122712576 123889024 124367360 124629960 124995176 125824790 127568896 128440320 128707904 129945480 130585728 131751672 132738240 132938624 133934080 135129920 136680960 138608512 139143680 140774270 141173760 141587456 141886416 142434240 143799760 146100864 147194880 148509120 149240832 149847040 150989748 151929856 153390720 153710284 154861280 156243970 157946880 158409728 159461120 160720896 160884880 162155904 163232160 163616768 164689590 166173280 166972416 168929124 172559712 173260640 174114304 175303680 175668896 176984320 177358020 179816448 182241280 182626080 185833536 186551040 187492764 188737185 189181888 189912320 191353344 192137855 193061856 194801152 198012160 199407936 200901120 201319664 202694880 203117161 204520960 207912768 208715520 211161405 212381184 215699640 216207872 217642880 218741558 219586120 224770560 225238832 227894784 230079616 230565426 232291920 234365955 236477360 237614592 239191680 241327320 243501440 245425152 247778048 248734720 249259920 249990352 251649580 255137792 257415808 259890960 261171456 263503344 265476480 265877248 267868160 270259840 273361920 277217024 278287360 281548540 282347520 283174912 283772832 284868480 287599520 292201728 294389760 297018240 298481664 299694080 301979496 303859712 306781440 307420568 309722560 312487940 315893760 316819456 318922240 321769760 324311808 326464320 328112337 329379180 332346560 333944832 337858248 345119424 346521280 348228608 350607360 351337792 353968640 354716040 365252160 371667072 373102080 374985528 377474370 378363776 379824640 382706688 384275710 386123712 389602304 396024320 398815872 401802240 402639328 405389760 406234322 409041920 415825536 417431040 422322810 424762368 431399280 432415744 435285760 437483116 439172240 449541120 450477664 455789568 460159232 461130852 464583840 468731910 472954720 475229184 478383360 482654640 487002880 490850304 495556096 497469440 498519840 499980704 503299160 514831616 519781920 522342912 527006688 530952960 531754496 540519680 546723840 546853895 554434048 556574720 563097080 567545664 569736960 575199040 576413565 584403456 594036480 603958992 609351483 613562880 614841136 619445120 624975880 637844480 643539520 648623616 652928640 656224674 658758360 664693120 675716496 690238848 693042560 696457216 702675584 707937280 709432080 730504320 743334144 746204160 749971056 754948740 756727552 759649280 765413376 768551420 772247424 779204608 792048640 797631744 803604480 805278656 810779520 812468644 818083840 831651072 834862080 844645620 849524736 862798560 864831488 870571520 874966232 878344480 899082240 900955328 911579136 920318464 922261704 929167680 937463820 945909440 950458368 956766720 965309280 974005760 991112192 997039680 999961408 1006598320 1015585805 1029663232 1039563840 1044685824 1054013376 1061905920 1063508992 1081039360 1093707790 1108868096 1126194160 1135091328 1139473920 1150398080 1152827130 1168806912 1188072960 1207917984 1218702966 1227125760 1229682272 1238890240 1249951760 1275688960 1287079040 1297247232 1305857280 1312449348 1317516720 1329386240 1351432992 1380477696 1386085120 1405351168 1415874560 1418864160 1421820127 1461008640 1486668288 1492408320 1499942112 1509897480 1513455104 1519298560 1537102840 1544494848 1584097280 1595263488 1610557312 1621559040 1624937288 1640561685 1663302144 1669724160 1689291240 1725597120 1741143040 1749932464 1756688960 1801910656 1840636928 1844523408 1858335360 1874927640 1891818880 1913533440 1930618560 1948011520 1982224384 1994079360 1999922816 2013196640 2031171610 2059326464 2079127680 2089371648 2108026752 2123811840 2127017984 2162078720 2187415580 2217736192 2252388320 2270182656 2278947840 2300796160 2305654260 2337613824 2376145920 2415835968 2437405932 2454251520 2459364544 2477780480 2499903520 2574158080 2594494464 2611714560 2624898696 2635033440 2658772480 2702865984 2760955392 2772170240 2810702336 2837728320 2843640254 2922017280 2973336576 2999884224 3019794960 3026910208 3046757415 3074205680 3088989696 3190526976 3221114624 3243118080 3249874576 3281123370 3326604288 3378582480 3451194240 3482286080 3499864928 3513377920 3603821312 3681273856 3689046816 3716670720 3749855280 3783637760 3827066880 3861237120 3896023040 3988158720 3999845632 4026393280 4062343220 4118652928 4158255360 4216053504 4247623680 4265460381 4324157440 4374831160 4504776640 4540365312 4557895680 4601592320 4611308520 4752291840 4831671936 4874811864 4918729088 4955560960 4999807040 5148316160 5223429120 5249797392 5270066880 5317544960 5405731968 5521910784 5544340480 5621404672 5675456640 5687280508 5844034560 5946673152 5999768448 6039589920 6053820416 6093514830 6148411360 6177979392 6381053952 6442229248 6486236160 6499749152 6562246740 6653208576 6757164960 6902388480 6999729856 7026755840 7109100635 7207642624 7378093632 7433341440 7499710560 7567275520 7722474240 7976317440 7999691264 8052786560 8124686440 8316510720 8432107008 8530920762 8749662320 9009553280 9080730624 9203184640 9222617040 9663343872 9749623728 9837458176 9911121920 9999614080 10296632320 10446858240 10499594784 10540133760 10635089920 10811463936 11043821568 11088680960 11242809344 11350913280 11374561016 11688069120 11999536896 12079179840 12187029660 12296822720 12355958784 12884458496 12972472320 12999498304 13124493480 13514329920 13804776960 13999459712 14053511680 14218201270 14415285248 14756187264 14866682880 14999421120 15134551040 15444948480 15952634880 15999382528 16105573120 16249372880 16633021440 16864214016 17061841524 17499324640 18019106560 18161461248 18406369280 18445234080 19326687744 19499247456 19674916352 19999228160 20593264640 20999189568 21080267520 21327301905 21622927872 22701826560 22749122032 23999073792 24158359680 24374059320 24593645440 25768916992 25998996608 26248986960 27028659840 27609553920 27998919424 28107023360 28436402540 28830570496 29512374528 29733365760 29998842240 30269102080 30889896960 31905269760 31998765056 32211146240 32498745760 33266042880 33728428032 34123683048 34998649280 36038213120 36890468160 38653375488 38998494912 39349832704 39998456320 41998379136 42160535040 42654603810 43245855744 45403653120 45498244064 47998147584 48316719360 48748118640 49187290880 51997993216 52497973920 54057319680 55219107840 55997838848 56214046720 56872805080 59024749056 59997684480 61779793920 64422292480 64997491520 68247366096 69997298560 72076426240 73780936320 77306750976 77996989824 78699665408 79996912640 83996758272 84321070080 85309207620 86491711488 90807306240 90996488128 95996295168 96633438720 97496237280 98374581760 103995986432 104995947840 108114639360 111995677696 113745610160 118049498112 119995368960 128844584960 129994983040 136494732192 139994597120 144152852480 147561872640 155993979648 159993825280 167993516544 168642140160 170618415240 181992976256 193266877440 194992474560 196749163520 207991972864 209991895680 216229278720 223991355392 227491220320 236098996224 239990737920 259989966080 272989464384 279989194240 295123745280 311987959296 335987033088 341236830480 363985952512 386533754880 389984949120 393498327040 415983945728 419983791360 432458557440 454982440640 479981475840 519979932160 545978928768 559978388480 590247490560 623975918592 671974066176 682473660960 727971905024 779969898240 839967582720 909964881280 1039959864320 1091957857536 1119956776960 1180494981120 1247951837184 1364947321920 1455943810048 1559939796480 1679935165440 1819929762560 2079919728640 2183915715072 2729894643840 2911887620096 3119879592960 3359870330880 3639859525120 4367831430144 5459789287680 6239759185920 7279719050240 8735662860288 10919578575360 14559438100480 21839157150720 43678314301440
- Sum of all divisors σ(n): 180086969986560
- Sum of proper divisors (its aliquot sum) s(n): 136408655685120
- 43678314301440 is an abundant number, because the sum of its proper divisors (136408655685120) is greater than itself. Its abundance is 92730341383680
Bases of 43678314301440
- Binary: 10011110111001101001100110100010001000000000002
- Hexadecimal: 0x27B9A6688800
- Base-36: FHDJGLEDC
Squares and roots of 43678314301440
- 43678314301440 squared (436783143014402) is 1907795140215378035186073600
- 43678314301440 cubed (436783143014403) is 83329275757087076516083926054400425984000
-
The
square root of 43678314301440 is 6608957.1266153633 -
The
cube root of 43678314301440 is 35217.2377857591
Scales and comparisons
How big is 43678314301440?- 43,678,314,301,440 seconds is equal to 1,388,835 years, 15 weeks, 3 hours, 44 minutes.
-
To count from 1 to 43,678,314,301,440 would take you about three million, four hundred seventy-two thousand and eighty-eight 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 43678314301440 cubic inches would be around 2934.8 feet tall.
Recreational maths with 43678314301440
- 43678314301440 backwards is 04410341387634
- 43678314301440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 43678314301440's digits is 48
- 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 43678314301440 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 43678314301440 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/43678314301440/
Chicago style:
Numbermatics. 2024. "Number 43678314301440 - Facts about the integer". https://numbermatics.com/n/43678314301440/
The information we have on file for 43678314301440 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 43678314301440, math, Factors of 43678314301440, curriculum, school, college, exams, university, Prime factorization of 43678314301440, STEM, science, technology, engineering, physics, economics, calculator, forty-three trillion, six hundred seventy-eight billion, three hundred fourteen million, three hundred one thousand, four hundred forty.