875345052873720
875,345,052,873,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 875345052873720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
875345052873720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 875345052873720:
23 × 3 × 5 × 114 × 132 × 172 × 1012
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 17 × 17 × 101 × 101)See below for interesting mathematical facts about the number 875345052873720 from the Numbermatics database.
Names of 875345052873720
- Cardinal: 875345052873720 can be written as Eight hundred seventy-five trillion, three hundred forty-five billion, fifty-two million, eight hundred seventy-three thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 8.7534505287372 × 1014
Factors of 875345052873720
Divisors of 875345052873720
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 17 20 22 24 26 30 33 34 39 40 44 51 52 55 60 65 66 68 78 85 88 101 102 104 110 120 121 130 132 136 143 156 165 169 170 187 195 202 204 220 221 242 255 260 264 286 289 303 312 330 338 340 363 374 390 404 408 429 440 442 484 505 507 510 520 561 572 578 605 606 660 663 676 680 715 726 748 780 808 845 858 867 884 935 968 1010 1014 1020 1105 1111 1122 1144 1156 1210 1212 1313 1320 1326 1331 1352 1430 1445 1452 1496 1515 1560 1573 1690 1716 1717 1734 1768 1815 1859 1870 2020 2028 2040 2057 2145 2210 2222 2244 2312 2420 2424 2431 2535 2626 2652 2662 2805 2860 2873 2890 2904 3030 3146 3179 3315 3333 3380 3432 3434 3468 3630 3718 3740 3757 3939 3993 4040 4056 4114 4290 4335 4420 4444 4488 4719 4840 4862 5070 5151 5252 5304 5324 5555 5577 5610 5720 5746 5780 6060 6171 6292 6358 6565 6630 6655 6666 6760 6868 6936 7260 7293 7436 7480 7514 7865 7878 7986 8228 8580 8585 8619 8670 8840 8888 9295 9438 9537 9724 10140 10201 10285 10302 10504 10648 11110 11154 11220 11271 11492 11560 12120 12155 12221 12342 12584 12716 13130 13260 13310 13332 13736 14365 14443 14520 14586 14641 14872 15028 15730 15756 15895 15972 16456 16665 17069 17160 17170 17238 17303 17340 18590 18785 18876 18887 19074 19448 19695 19965 20280 20402 20449 20570 20604 22220 22308 22321 22440 22542 22627 22984 23595 24310 24442 24684 25432 25755 26260 26520 26620 26664 26741 27885 28730 28886 29172 29189 29282 30056 30603 30855 31460 31512 31603 31790 31944 33330 34138 34340 34476 34606 34680 34969 36465 36663 37180 37570 37752 37774 38148 39390 39930 40804 40898 41140 41208 41327 43095 43329 43923 44440 44616 44642 45084 45254 47190 47685 48620 48841 48884 49368 51005 51207 51510 51909 52520 53240 53482 55770 56355 56661 57460 57772 58344 58378 58564 61105 61206 61347 61710 62920 63206 63580 66660 66963 67881 68276 68680 68952 69212 69938 72215 72930 73205 73326 74360 75140 75548 76296 78780 79860 80223 81608 81796 82280 82654 85345 86190 86515 86658 87567 87846 89284 90168 90508 94380 94435 94809 95370 97240 97682 97768 102010 102245 102414 103020 103818 104907 106964 111540 111605 112211 112710 113135 113322 114920 115544 116756 117128 122210 122412 122694 123420 123981 126412 127160 132613 133320 133705 133926 134431 135762 136552 138424 139876 144430 145860 145945 146410 146523 146652 150280 151096 153015 157560 158015 158873 159720 160446 163592 165308 170690 172380 173030 173316 173417 174845 175134 175692 178568 181016 183315 187759 188760 188870 189618 190333 190740 195364 204020 204490 204828 206040 206635 207636 207757 209814 213928 216645 219615 223080 223210 224422 224939 225420 226270 226644 233512 244205 244420 244824 245388 245531 246840 247962 248897 252824 256035 259545 265226 267410 267852 268862 271524 279752 283305 288860 290173 291720 291890 292820 293046 293304 294151 306030 306735 316030 317746 320892 321079 330616 334815 336633 339405 341380 344760 346060 346632 346834 347633 349690 350268 351384 366630 375518 377740 379236 379457 380666 381480 384659 390728 397839 401115 403293 408040 408980 409656 413270 415272 415514 419628 433290 437835 439230 446420 448844 449878 450840 452540 453288 454597 474045 476619 488410 488840 490776 491062 495924 497794 512070 519090 520251 524535 530452 534820 535704 537251 537724 543048 561055 563277 566610 570999 577720 580346 583780 585640 586092 588302 612060 613470 619905 623271 632060 635492 641784 642158 663065 669630 672155 673266 674817 678810 682760 692120 693668 695266 699380 700536 732615 733260 736593 746691 751036 755480 758472 758914 761332 769318 794365 795678 802230 806586 817960 826540 831028 839256 866580 867085 870519 875670 878460 882453 892840 897688 899756 905080 909194 938795 948090 951665 953238 963237 976820 982124 991848 995588 1024140 1038180 1038785 1040502 1042899 1049070 1060904 1069640 1074502 1075448 1122110 1124695 1126554 1133220 1138371 1141998 1153977 1160692 1167560 1172184 1176604 1224120 1226940 1227655 1234321 1239810 1244485 1246542 1264120 1270984 1284316 1326130 1339260 1344310 1346532 1349634 1357620 1363791 1387336 1390532 1398760 1450865 1458743 1465230 1466520 1470755 1473186 1478741 1493382 1502072 1517828 1522664 1538636 1588730 1591356 1604460 1605395 1611753 1613172 1653080 1662056 1683165 1723969 1733160 1734170 1738165 1741038 1747603 1751340 1756920 1764906 1799512 1818388 1877590 1896180 1897285 1903330 1906476 1907587 1923295 1926474 1953640 1964248 1989195 1991176 2016465 2048280 2065349 2076360 2077570 2081004 2085798 2098140 2149004 2244220 2249390 2253108 2254421 2266440 2272985 2276742 2283996 2285327 2307954 2321384 2353208 2383095 2453880 2455310 2468642 2474329 2479620 2488970 2493084 2568632 2601255 2652260 2678520 2686255 2688620 2693064 2699268 2700841 2715240 2727582 2781064 2816385 2854995 2901730 2917486 2930460 2941510 2946372 2948089 2957482 2986764 3035656 3077272 3116355 3177460 3182712 3191903 3208920 3210790 3223506 3226344 3235661 3366330 3374085 3447938 3468340 3476330 3482076 3495206 3502680 3529812 3531869 3636776 3682965 3702963 3733455 3755180 3792360 3794570 3806660 3812952 3815174 3823963 3846590 3852948 3978390 4032930 4130698 4155140 4162008 4171596 4174027 4196280 4231249 4298008 4352595 4376229 4412265 4436223 4488440 4498780 4506216 4508842 4545970 4553484 4567992 4570654 4615908 4766190 4816185 4910620 4932941 4937284 4948658 4959240 4977940 4986168 5000567 5171907 5202510 5214495 5242809 5304520 5372510 5377240 5398536 5401682 5455164 5632770 5691855 5709990 5722761 5769885 5803460 5834972 5860920 5883020 5892744 5896178 5909761 5914964 5973528 6171605 6196047 6232710 6354920 6383806 6421580 6447012 6471322 6732660 6748170 6763263 6818955 6855981 6895876 6936680 6952660 6964152 6990412 7059624 7063738 7293715 7365930 7393705 7405926 7422987 7466910 7510360 7589140 7613320 7630348 7647926 7693180 7705896 7956780 8058765 8065860 8102523 8261396 8310280 8343192 8348054 8462498 8619845 8705190 8738015 8752458 8824530 8844267 8872446 8997560 9017684 9091940 9106968 9141308 9231816 9532380 9537935 9575709 9632370 9706983 9821240 9865882 9874568 9897316 9955880 10001134 10326745 10343814 10405020 10428990 10485618 10595607 10745020 10803364 10910328 11265540 11272105 11383710 11419980 11426635 11445522 11471889 11539770 11606920 11669944 11766040 11792356 11819522 11829928 12343210 12371645 12392094 12465420 12522081 12693747 12767612 12843160 12894024 12942644 13465320 13496340 13504205 13526526 13577531 13637910 13711962 13791752 13905320 13980824 14127476 14587430 14731860 14740445 14787410 14798823 14811852 14845974 14933820 15001701 15178280 15260696 15295852 15386360 15913560 15959515 16046173 16117530 16131720 16178305 16205046 16522792 16696108 16924996 17239690 17410380 17476030 17504916 17649060 17659345 17688534 17729283 17744892 18035368 18183880 18282616 18514815 18963659 19064760 19075870 19119815 19151418 19223633 19264740 19413966 19731764 19794632 20002268 20653490 20687628 20810040 20857980 20870135 20971236 20983457 21156245 21191214 21490040 21606728 21881145 22181115 22531080 22544210 22718839 22767420 22839960 22853270 22891044 22943778 23079540 23584712 23639044 24664705 24686420 24743290 24784188 24798631 24930840 25002835 25044162 25138597 25387494 25535224 25859535 25885288 26214045 26992680 27008410 27053052 27155062 27275820 27423924 28254952 28613805 29174860 29307473 29463720 29480890 29548805 29574820 29597646 29623704 29691948 29709251 29867640 30003402 30591704 30980235 31919030 32092346 32235060 32356610 32410092 32428979 33392216 33816315 33849992 34279905 34479380 34820760 34952060 35009832 35110933 35298120 35318690 35377068 35458566 35489784 37029630 37114935 37927318 38151740 38239630 38302836 38325157 38447266 38529480 38827932 38850559 39463528 40004536 40512615 40732593 41306980 41375256 41715960 41740270 41942472 41966914 42063593 42312490 42382428 43762290 44221335 44362230 45088420 45437678 45534840 45706540 45782088 45887556 45914297 46159080 47278088 47878545 48138519 48534915 49329410 49372840 49486580 49568376 49597262 50005670 50088324 50277194 50774988 51719070 52428090 52978035 54016820 54106104 54262351 54310124 54551640 54847848 55006237 56890977 57227610 57359445 57670899 58349720 58614946 58961780 59097610 59149640 59195292 59383896 59418502 60006804 61960470 62610405 62950371 63468735 63838060 64184692 64470120 64713220 64820184 64857958 65007371 67632630 67887655 68156517 68559810 68958760 69904120 70221866 70637380 70754136 70917132 73994115 74059260 74229870 74395893 75008505 75415791 75854636 76303480 76479260 76605672 76650314 76894532 77655864 77701118 80230865 81025230 81465186 82613960 83480540 83933828 84127186 84624980 84764856 87524580 87922419 88442670 88646415 88724460 89127753 90176840 90875356 91413080 91775112 91828594 94818295 95757090 96118165 96277038 97069830 97286937 98658820 98973160 99194524 100011340 100176648 100554388 101549976 103438140 104856180 104917285 105332799 105956070 108033640 108524702 108620248 110012474 113594195 113781954 114455220 114718890 114975471 115341798 116551677 117229892 117923560 118195220 118390584 118837004 120013608 123920940 123993155 125220810 125692985 125900742 126190779 126937470 127676120 128369384 129426440 129715916 130014742 135265260 135775310 136313034 137119620 137742891 140443732 141274760 141834264 146537365 147988230 148118520 148459740 148546255 148791786 149352841 150017010 150831582 151709272 152958520 153300628 153789064 155402236 160461730 162050460 162144895 162787053 162930372 165018711 166961080 167867656 168254372 169249960 175049160 175554665 175844838 176507903 176885340 177292830 177448920 178255506 181750712 183657188 189636590 191514180 191625785 192236330 192554076 194139660 194252795 194573874 195022113 197317640 198389048 200022680 201108776 203662965 206876280 208600249 209712360 209834570 210317965 210665598 211912140 217049404 220024948 227188390 227563908 228910440 229437780 229571485 229950942 230683596 230818027 233103354 234459784 236390440 237674008 240692595 247841880 247986310 249907229 250441620 251385970 251801484 252381558 253874940 259431832 260029484 270530520 271311755 271550620 272626068 272784941 274239240 275031185 275485782 280887464 284454885 288354495 293074730 295976460 296919480 297092510 297583572 298705682 300034020 301663164 306601256 310804472 314751855 320923460 322382203 324100920 324289790 325036855 325574106 325860744 326801761 330037422 336508744 340782585 351109330 351689676 353015806 353770680 354585660 356511012 356718769 367314376 371979465 377078955 379273180 383028360 383251570 384472660 385108152 386220263 388279320 388505590 389147748 390044226 407325930 417200498 419669140 420635930 421331196 421576727 423824280 427356149 434098808 439612095 440049896 445638765 448058523 454376780 455127816 458875560 459142970 459901884 461367192 461636054 466206708 481385190 486434685 495972620 498227041 499814458 500883240 502771940 503602968 504763116 505057267 507749880 520058968 526663995 529523709 542623510 543101240 545252136 545569882 550062370 550971564 568909770 574877355 576708990 582758385 586149460 591952920 594185020 595167144 596885861 597411364 600068040 603326328 625800747 629503710 630953895 641846920 644764406 648579580 650073710 651148212 653603522 660074844 681565170 688714455 692454081 702218660 703379352 706031612 709171320 713022024 713437538 715081081 743958930 746764205 749721687 754157910 758546360 766503140 768945320 772440526 777011180 778295496 780088452 813935265 814651860 818354823 825093555 834400996 839338280 841271860 842662392 843153454 854712298 879224190 882539515 891277530 896117046 908753560 918285940 919803768 923272108 932413416 962770380 967146609 972869370 975110565 980405283 991945240 996454082 999628916 1005543880 1009526232 1010114534 1043001245 1053327990 1059047418 1070156307 1085247020 1091139764 1100124740 1101943128 1137819540 1149754710 1153417980 1154090135 1158660789 1165516770 1172298920 1188370040 1193771722 1194822728 1249536145 1251601494 1259007420 1261907790 1264730181 1282068447 1289528812 1297159160 1300147420 1302296424 1307207044 1320149688 1363130340 1363924705 1377428910 1384908162 1404437320 1412063224 1426875076 1430162162 1487917860 1493528410 1494681123 1499443374 1508315820 1515171801 1533006280 1544881052 1554022360 1560176904 1611911015 1627870530 1629303720 1634008805 1636709646 1650187110 1668801992 1682543720 1686306908 1709424596 1758448380 1765079030 1782555060 1783593845 1790657583 1792234092 1836571880 1846544216 1925540760 1931101315 1934293218 1941586933 1945738740 1950221130 1960810566 1992908164 1999257832 2020229068 2086002490 2106655980 2107883635 2118094836 2136780745 2140312614 2145243243 2170494040 2182279528 2200249480 2240292615 2275639080 2294602739 2299509420 2306835960 2308180270 2317321578 2331033540 2387543444 2491135205 2499072290 2503202988 2518014840 2523815580 2525286335 2529460362 2538998297 2564136894 2579057624 2600294840 2614414088 2647618545 2726260680 2727849410 2754857820 2769816324 2853750152 2860324324 2975835720 2984429305 2987056820 2989362246 2998886748 3000634351 3016631640 3030343602 3089762104 3129003735 3223822030 3255741060 3268017610 3273419292 3300374220 3372613816 3418849192 3462270405 3516896760 3530158060 3546204233 3565110120 3567187690 3575405405 3581315166 3584468184 3748608435 3862202630 3868586436 3883173866 3891477480 3900442260 3921621132 3923906459 3985816328 4040458136 4091774115 4172004980 4213311960 4215767270 4236189672 4248422893 4273561490 4280625228 4290486486 4480585230 4589205478 4599018840 4616360540 4634643156 4637343997 4662067080 4775086888 4835733045 4902026415 4982270410 4998144580 5006405976 5047631160 5050572670 5058920724 5077996594 5128273788 5295237090 5350781535 5455698820 5480497451 5509715640 5539632648 5555629937 5720648648 5793303945 5824760799 5968858610 5974113640 5978724492 5997773496 6001268702 6060687204 6258007470 6323650905 6410342235 6447644060 6511482120 6536035220 6546838584 6565744471 6600748440 6883808217 6924540810 7060316120 7092408466 7134375380 7150810810 7162630332 7473405615 7497216870 7575859005 7616994891 7724405260 7737172872 7766347732 7800884520 7843242264 7847812918 8183548230 8344009960 8431534540 8496845786 8547122980 8561250456 8580972972 8953287915 8961170460 9001903053 9178410956 9232721080 9269286312 9274687994 9671466090 9707934665 9804052830 9964540820 9996289160 10101145340 10117841448 10155993188 10256547576 10590474180 10638612699 10701563070 10726216215 10911397640 10960994902 11111259874 11473013695 11586607890 11649521598 11771719377 11937717220 11957448984 12002537404 12121374408 12516014940 12647301810 12694991485 12745268679 12820684470 12895288120 13072070440 13131488942 13767616434 13849081620 13912031991 14184816932 14268750760 14301621620 14325260664 14946811230 14994433740 15003171755 15151718010 15233989782 15448810520 15532695464 15695625836 16367096460 16441492353 16666889811 16863069080 16993691572 17094245960 17161945944 17731021165 17906575830 17922340920 18003806106 18356821912 18549375988 19342932180 19415869330 19608105660 19619532295 19697233413 19929081640 20202290680 20311986376 21180948360 21242114465 21277225398 21403126140 21452432430 21921989804 22222519748 22946027390 23173215780 23186719985 23299043196 23543438754 23875434440 24005074808 25032029880 25240630129 25294603620 25389982970 25490537358 25641368940 26262977884 27402487255 27535232868 27698163240 27778149685 27824063982 28369633864 28603243240 29123803995 29893622460 29988867480 30006343510 30303436020 30467979564 31391251672 32734192920 32828722355 32882984706 33006977861 33333779622 33987383144 34419041085 35462042330 35813151660 36007612212 37098751976 38084974455 38685864360 38831738660 39008246563 39216211320 39239064590 39394466826 42484228930 42554450796 42806252280 42904864860 43162971049 43843979608 44445039496 45009515265 45892054780 46346431560 46373439970 46598086392 47086877508 50481260258 50589207240 50779965940 50981074716 51010783967 51282737880 52525955768 53193063495 54804974510 55070465736 55556299370 55648127964 58247607990 58858596885 59787244920 60012687020 60285471961 60606872040 60935959128 63726343395 65657444710 65765969412 66013955722 66667559244 68838082170 69560159955 70924084660 71626303320 72015224424 72223189181 75721890387 76169948910 77663477320 78016493126 78478129180 78788933652 82207461765 83334449055 84968457860 85108901592 85809729720 86325942098 90019030530 91784109560 92746879940 94173755016 98486167065 99020933583 100962520516 101559931880 101962149432 102021567934 106386126990 109609949020 111112598740 111296255928 116495215980 117024739689 117717193770 120025374040 120570943922 126203150645 127452686790 129488913147 131314889420 131531938824 132027911444 133335118488 137676164340 139120319910 141848169320 144446378362 151443780774 152339897820 153032351901 156032986252 156956258360 157577867304 164414923530 165034889305 166668898110 169936915720 172651884196 180038061060 180856415883 185493759880 195041232815 196972334130 198041867166 201925041032 204043135868 212772253980 215814855245 216669567543 219219898040 222225197480 232990431960 234049479378 235434387540 241141887844 252406301290 254905373580 255053919835 258977826294 262629778840 264055822888 275352328680 278240639820 288892756724 301427359805 302887561548 304679795640 306064703802 312065972504 328829847060 330069778610 333337796220 345303768392 360076122120 361115945905 361712831766 378609451935 390082465630 393944668260 396083734332 408086271736 425544507960 429090712193 431629710490 433339135086 468098958756 470868775080 482283775688 495104667915 504812602580 509810747160 510107839670 517955652588 556481279640 561118623637 577785513448 585123698445 602854719610 605775123096 612129407604 647444565735 657659694120 660139557220 663140191571 666675592440 722231891810 723425663532 757218903870 765161759505 780164931260 787889336520 792167468664 858181424386 863259420980 866678270172 904282079415 936197917512 990209335830 1009625205160 1020215679340 1035911305176 1083347837715 1122237247274 1170247396890 1205709439220 1224258815208 1287272136579 1294889131470 1320279114440 1326280383142 1444463783620 1446851327064 1514437807740 1530323519010 1560329862520 1683355870911 1716362848772 1726518841960 1733356540344 1808564158830 1980418671660 1989420574713 2040431358680 2145453560965 2166695675430 2244474494548 2340494793780 2411418878440 2574544273158 2589778262940 2652560766284 2805593118185 2888927567240 3028875615480 3060647038020 3315700957855 3366711741822 3432725697544 3617128317660 3960837343320 3978841149426 4290907121930 4333391350860 4488948989096 4680989587560 5149088546316 5179556525880 5305121532568 5611186236370 6121294076040 6436360682895 6631401915710 6733423483644 7234256635320 7294542107281 7957682298852 8416779354555 8581814243860 8666782701720 9947102873565 10298177092632 11222372472740 12872721365790 13262803831420 13466846967288 14589084214562 15915364597704 16833558709110 17163628487720 19894205747130 21883626321843 22444744945480 25745442731580 26525607662840 29178168429124 33667117418220 36472710536405 39788411494260 43767252643686 51490885463160 58356336858248 67334234836440 72945421072810 79576822988520 87534505287372 109418131609215 145890842145620 175069010574744 218836263218430 291781684291240 437672526436860 875345052873720
- Sum of all divisors σ(n): 3355957057145400
- Sum of proper divisors (its aliquot sum) s(n): 2480612004271680
- 875345052873720 is an abundant number, because the sum of its proper divisors (2480612004271680) is greater than itself. Its abundance is 1605266951397960
Bases of 875345052873720
- Binary: 110001110000011111001001101110111010110011111110002
- Hexadecimal: 0x31C1F26EEB3F8
- Base-36: 8MA7YRQOZC
Squares and roots of 875345052873720
- 875345052873720 squared (8753450528737202) is 766228961590495662430266638400
- 875345052873720 cubed (8753450528737203) is 670714730896807996656644067142685764102848000
-
The
square root of 875345052873720 is 29586230.7986962071 -
The
cube root of 875345052873720 is 95659.1301035051
Scales and comparisons
How big is 875345052873720?- 875,345,052,873,720 seconds is equal to 27,833,265 years, 3 weeks, 1 day, 8 hours, 2 minutes.
-
To count from 1 to 875,345,052,873,720 would take you about sixty-nine million, five hundred eighty-three thousand, one hundred sixty-two 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 875345052873720 cubic inches would be around 7971.6 feet tall.
Recreational maths with 875345052873720
- 875345052873720 backwards is 027378250543578
- 875345052873720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 875345052873720's digits is 66
- 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 875345052873720 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 875345052873720 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/875345052873720/
Chicago style:
Numbermatics. 2024. "Number 875345052873720 - Facts about the integer". https://numbermatics.com/n/875345052873720/
The information we have on file for 875345052873720 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 875345052873720, math, Factors of 875345052873720, curriculum, school, college, exams, university, Prime factorization of 875345052873720, STEM, science, technology, engineering, physics, economics, calculator, eight hundred seventy-five trillion, three hundred forty-five billion, fifty-two million, eight hundred seventy-three thousand, seven hundred twenty.