30977794207360
30,977,794,207,360 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30977794207360 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
30977794207360 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 30977794207360:
27 × 5 × 7 × 112 × 133 × 19 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 13 × 13 × 19 × 37 × 37)See below for interesting mathematical facts about the number 30977794207360 from the Numbermatics database.
Names of 30977794207360
- Cardinal: 30977794207360 can be written as Thirty trillion, nine hundred seventy-seven billion, seven hundred ninety-four million, two hundred seven thousand, three hundred sixty.
Scientific notation
- Scientific notation: 3.097779420736 × 1013
Factors of 30977794207360
Divisors of 30977794207360
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 26 28 32 35 37 38 40 44 52 55 56 64 65 70 74 76 77 80 88 91 95 104 110 112 121 128 130 133 140 143 148 152 154 160 169 176 182 185 190 208 209 220 224 242 247 259 260 266 280 286 296 304 308 320 338 352 364 370 380 385 407 416 418 440 448 455 481 484 494 518 520 532 560 572 592 605 608 616 640 665 676 703 704 715 728 740 760 770 814 832 836 845 847 880 896 910 962 968 988 1001 1036 1040 1045 1064 1120 1144 1183 1184 1210 1216 1232 1235 1295 1330 1352 1369 1406 1408 1430 1456 1463 1480 1520 1540 1573 1628 1664 1672 1690 1694 1729 1760 1820 1859 1924 1936 1976 2002 2035 2072 2080 2090 2128 2197 2240 2288 2299 2366 2368 2405 2420 2432 2464 2470 2590 2660 2704 2717 2738 2812 2849 2860 2912 2926 2960 3040 3080 3146 3211 3256 3344 3367 3380 3388 3458 3515 3520 3640 3718 3848 3872 3952 4004 4070 4144 4160 4180 4235 4256 4394 4477 4480 4576 4598 4732 4736 4810 4840 4921 4928 4940 5005 5180 5291 5320 5408 5434 5476 5624 5698 5720 5824 5852 5915 5920 6080 6160 6253 6292 6422 6512 6688 6734 6760 6776 6845 6916 7030 7040 7280 7315 7436 7696 7733 7744 7865 7904 8008 8140 8288 8320 8360 8470 8512 8645 8788 8954 9139 9152 9196 9295 9464 9583 9620 9680 9842 9856 9880 10010 10360 10582 10640 10816 10868 10952 10985 11011 11248 11396 11440 11495 11648 11704 11830 11840 12160 12320 12506 12584 12844 13013 13024 13376 13468 13520 13552 13585 13690 13832 14060 14245 14560 14630 14872 15059 15379 15392 15466 15488 15730 15808 16016 16055 16093 16280 16576 16720 16835 16940 17024 17290 17576 17797 17908 18278 18304 18392 18590 18928 19019 19166 19240 19360 19684 19760 20020 20449 20720 21164 21280 21632 21736 21904 21970 22022 22385 22477 22496 22792 22880 22990 23408 23660 23680 24167 24605 24640 25012 25168 25688 26011 26026 26048 26455 26752 26936 27040 27104 27170 27380 27664 28120 28490 29120 29260 29744 29887 30118 30758 30784 30932 31265 31339 31460 31616 32032 32110 32186 32560 33152 33440 33670 33880 34580 35152 35321 35594 35816 36556 36784 37037 37180 37856 38038 38332 38480 38665 38720 39368 39520 40040 40898 41440 41743 42328 42560 43472 43771 43808 43940 44044 44770 44954 44992 45584 45695 45760 45980 46816 47320 47915 48334 49210 49280 50024 50336 51376 52022 52052 52096 52910 53872 54080 54131 54208 54340 54760 55055 55328 56240 56980 58201 58240 58520 59488 59774 60236 61516 61568 61864 62530 62678 62920 63973 64064 64220 64372 65065 65120 66880 67340 67760 68783 69160 70304 70642 71188 71632 73112 73568 74074 74360 75295 75712 76076 76664 76895 76960 77330 77440 78736 79040 80080 80465 81289 81796 82880 83486 84656 85063 85120 86944 87542 87616 87880 88088 88985 89540 89908 89984 91168 91390 91520 91960 93632 94640 95095 95830 96668 98420 100048 100529 100672 102245 102752 104044 104104 105413 105820 107744 108160 108262 108416 108680 109520 110110 110656 112385 112480 113960 116402 117040 118807 118976 119548 120472 120835 123032 123728 124579 125060 125356 125840 127946 128128 128440 128744 130055 130130 130240 133760 134680 135520 137566 138320 140608 141284 142376 143143 143264 146224 147136 148148 148720 149435 150590 151424 152152 153328 153790 153920 154660 156695 157472 158080 160160 160930 162578 163592 165649 165760 166972 169169 169312 170126 173888 175084 175232 175760 176176 176605 177970 179080 179816 182077 182336 182780 183920 185185 187264 189280 190190 191660 193336 195767 196840 200096 201058 201344 204490 205504 208088 208208 208715 209209 210826 211640 215488 216524 217360 218855 219040 220220 221312 224770 224960 227920 231361 232804 234080 237614 237952 239096 240944 241670 246064 247247 247456 249158 250120 250712 251680 255892 256880 257488 260110 260260 260480 265837 269360 270655 271040 275132 276640 281216 282568 284752 286121 286286 286528 291005 292201 292448 294272 296296 297440 298870 301180 304304 306656 307580 307840 309320 313390 314944 319865 320320 321860 325156 327184 331298 333944 338143 338338 338624 340252 343915 347776 350168 351520 352352 353210 355940 358160 359632 364154 364672 365560 367840 370370 378560 380380 383320 386672 388531 391534 393680 400192 402116 406445 407407 408980 411008 416176 416416 417430 418418 421652 423280 425315 430976 433048 434720 437710 438080 440440 449540 449920 455840 459173 462722 465608 468160 475228 478192 481481 481888 483340 492128 494494 494912 498316 500240 501424 502645 503360 511784 513760 514976 520220 520520 527065 531674 538720 541310 542080 550264 553280 565136 569023 569504 572242 572572 573056 582010 584402 584896 592592 594035 594880 595441 597740 602360 608608 613312 615160 618640 622895 626780 629888 639730 640640 643720 650312 654368 662596 667888 676286 676676 677248 680504 687830 700336 703040 703703 704704 706420 711880 715715 716320 719264 728308 731120 735680 740740 756613 757120 760760 766640 773344 777062 783068 787360 800384 804232 812890 814814 817960 828245 831649 832352 832832 834860 836836 843304 845845 846560 850630 866096 869440 875420 876160 880880 894179 899080 910385 911680 918346 925444 931216 936320 950456 956384 962962 963776 966680 978835 984256 988988 989824 996632 1000480 1002848 1005290 1006720 1023568 1027520 1029952 1040440 1041040 1046045 1054130 1063348 1077440 1082620 1100528 1105819 1106560 1130272 1138046 1139008 1144484 1145144 1156805 1159543 1164020 1168804 1169792 1185184 1188070 1189760 1190882 1195480 1204720 1217216 1226624 1230320 1236235 1237280 1245790 1253560 1279460 1287440 1300624 1306877 1308736 1325192 1329185 1335776 1352572 1353352 1361008 1370369 1375660 1400672 1406080 1407406 1409408 1412840 1423760 1430605 1431430 1432640 1438528 1456616 1461005 1462240 1471360 1481480 1513226 1521520 1533280 1544491 1546688 1554124 1566136 1574720 1608464 1619527 1625780 1629628 1635920 1656490 1663298 1664704 1665664 1669720 1673672 1686608 1690715 1691690 1693120 1701260 1732192 1738880 1750840 1761760 1788358 1798160 1820770 1823360 1836692 1850888 1860859 1862432 1900912 1912768 1925924 1927552 1933360 1942655 1957670 1968512 1977976 1993264 2000960 2002847 2005696 2010580 2037035 2047136 2055040 2059904 2080880 2082080 2092090 2108260 2126696 2153437 2154880 2165240 2201056 2211638 2260544 2276092 2278016 2288968 2290288 2295865 2313610 2319086 2328040 2337608 2367001 2370368 2376140 2381764 2390960 2407405 2409440 2434432 2460640 2472470 2474560 2491580 2507120 2544971 2558920 2574880 2601248 2613754 2617472 2650384 2658370 2671552 2705144 2706704 2719717 2722016 2740738 2751320 2801344 2814812 2825680 2845115 2847520 2861210 2862860 2865280 2877056 2913232 2922010 2924480 2962960 2977205 3007693 3026452 3043040 3066560 3088982 3093376 3108248 3132272 3147331 3149440 3214211 3216928 3239054 3251560 3259256 3271840 3312980 3326596 3329408 3339440 3347344 3373216 3381430 3383380 3386240 3402520 3464384 3501680 3518515 3523520 3576716 3596320 3641540 3673384 3701776 3719573 3721718 3724864 3783065 3801824 3825536 3851848 3866720 3885310 3915340 3955952 3986528 4001920 4005694 4011392 4021160 4074070 4094272 4158245 4161760 4164160 4184180 4216520 4253392 4306874 4330480 4395859 4402112 4423276 4470895 4521088 4552184 4577936 4580576 4591730 4627220 4638172 4656080 4675216 4734002 4740736 4752280 4763528 4781920 4814810 4818880 4921280 4944940 4949120 4983160 5014240 5050903 5089942 5117840 5149760 5202496 5227508 5296291 5300768 5316740 5343104 5410288 5413408 5439434 5444032 5481476 5502640 5529095 5602688 5629624 5651360 5690230 5695040 5722420 5725720 5797715 5826464 5844020 5848960 5925920 5954410 6015386 6052904 6086080 6133120 6177964 6216496 6259253 6264544 6294662 6428422 6433856 6478108 6503120 6518512 6534385 6543680 6625960 6653192 6678880 6694688 6746432 6762860 6766760 6805040 6851845 6928768 7003360 7037030 7047040 7153432 7192640 7283080 7346768 7403552 7439146 7443436 7449728 7566130 7603648 7703696 7722455 7733440 7740733 7770620 7830680 7911904 7973056 8011388 8042320 8097635 8148140 8188544 8316490 8323520 8328320 8368360 8433040 8506784 8613748 8660960 8791718 8804224 8846552 8941790 9104368 9148139 9155872 9161152 9183460 9254440 9276344 9304295 9312160 9350432 9468004 9504560 9527056 9563840 9629620 9637760 9835969 9842560 9889880 9966320 10014235 10028480 10101806 10179884 10235680 10299520 10404992 10455016 10592582 10601536 10633480 10767185 10811437 10820576 10826816 10878868 10888064 10962952 11005280 11058190 11259248 11302720 11380460 11390080 11444840 11451440 11595430 11652928 11688040 11835005 11851840 11908820 12030772 12105808 12172160 12355928 12432992 12518506 12529088 12589324 12724855 12856844 12867712 12956216 13006240 13037024 13068770 13087360 13251920 13306384 13357760 13389376 13492864 13525720 13533520 13598585 13610080 13703690 14006720 14074060 14306864 14375647 14385280 14566160 14693536 14807104 14878292 14886872 15038465 15074059 15132260 15207296 15407392 15444910 15466880 15481466 15541240 15661360 15736655 15823808 15946112 16022776 16071055 16084640 16195270 16296280 16632980 16647040 16736720 16866080 16989401 17013568 17227496 17321920 17583436 17693104 17814797 17883580 18208736 18296278 18311744 18322304 18366920 18508880 18552688 18597865 18608590 18624320 18700864 18936008 19009120 19054112 19127680 19259240 19671938 19779760 19932640 20028470 20056960 20203612 20359768 20471360 20910032 21053851 21185164 21203072 21266960 21534370 21622874 21641152 21653632 21757736 21925904 21979295 22010560 22031317 22116380 22518496 22605440 22760920 22889680 22902880 23190860 23305856 23376080 23670010 23703680 23817640 24061544 24211616 24711856 24865984 25037012 25058176 25178648 25254515 25449710 25713688 25912432 26012480 26037011 26074048 26137540 26481455 26503840 26612768 26715520 26778752 27051440 27067040 27197170 27220160 27407380 27994681 28013440 28148120 28613728 28751294 29132320 29387072 29614208 29756584 29773744 30076930 30148118 30264520 30771013 30814784 30889820 30962932 31082480 31296265 31322720 31473310 31647616 32045552 32142110 32169280 32390540 32592560 33084623 33265960 33473440 33732160 33978802 34027136 34454992 34643840 35166872 35356321 35386208 35629594 35767160 36417472 36592556 36623488 36733840 37017760 37105376 37195730 37217180 37248640 37401728 37872016 38018240 38108224 38518480 38703665 39343876 39559520 39865280 40056940 40407224 40719536 40915303 40942720 41820064 42107702 42370328 42533920 43068740 43245748 43282304 43515472 43851808 43958590 44021120 44062634 44232760 45036992 45521840 45740695 45779360 45805760 46381720 46752160 47340020 47635280 48123088 48354449 48423232 49179845 49423712 49731968 50074024 50357296 50509030 50899420 51427376 51824864 52024960 52074022 52148096 52275080 52962910 53007680 53225536 54057185 54102880 54134080 54394340 54440320 54814760 55989362 56296240 57146167 57227456 57502588 58264640 58774144 59513168 59547488 60153860 60296236 60529040 61542026 61629568 61779640 61925864 62164960 62592530 62645440 62946620 64091104 64284220 64338560 64781080 65185120 66169246 66531920 66946880 67464320 67957604 68851783 68909984 70333744 70712642 70772416 71259188 71534320 71878235 72834944 73185112 73467680 74035520 74210752 74391460 74434360 75370295 75744032 76036480 76216448 77036960 77407330 78687752 79119040 79730560 80113880 80814448 81439072 81830606 83640128 84215404 84740656 84947005 85067840 86137480 86491496 87030944 87703616 87917180 88125268 88465520 89073985 90073984 91043680 91481390 91558720 91611520 92763440 93504320 94680040 95270560 96246176 96708898 96846464 98359690 98847424 100148048 100629529 100714592 101018060 101798840 102854752 103649728 104148044 104550160 105269255 105925820 106015360 106451072 108114370 108205760 108268160 108788680 109629520 110156585 111978724 112592480 114292334 114454912 115005176 116529280 118925807 119026336 119094976 120307720 120592472 121058080 123084052 123559280 123851728 124329920 125185060 125290880 125893240 128182208 128568440 129562160 130185055 130370240 132338492 133063840 133893760 135915208 137703566 137819968 139973405 140667488 141425284 141544832 142518376 143068640 143756470 146370224 146935360 148071040 148421504 148782920 148868720 150740590 151488064 153855065 154073920 154814660 157375504 158238080 160227760 161628896 162878144 163661212 165423115 167280256 168430808 169481312 169894010 170135680 172274960 172982992 174061888 175407232 175834360 176250536 176781605 176931040 178147970 182087360 182962780 183117440 185526880 186883411 187008640 189360080 190541120 192492352 193417796 195962767 196719380 197694848 200296096 201259058 201429184 202036120 203597680 204576515 205709504 207299456 208296088 209100320 210538510 211851640 216228740 216411520 217577360 219259040 220313170 223957448 225184960 228584668 230010352 231592361 237851614 238052672 238189952 240615440 241184944 241772245 242116160 246168104 247118560 247703456 248659840 250370120 251786480 256364416 257136880 259124320 260370110 260740480 264676984 266127680 271830416 275407132 275639936 279946810 281334976 282850568 285036752 285730835 286137280 286407121 287512940 292740448 293870720 297565840 297737440 301481180 302976128 307710130 308147840 309629320 314751008 320455520 323257792 325756288 327322424 330846230 336861616 338481143 338962624 339788020 344258915 344549920 345965984 348123776 351668720 352501072 353563210 353862080 356295940 363930853 364174720 365925560 371053760 373766822 378720160 381082240 384984704 386835592 391925534 393438760 400023169 400592192 402518116 402858368 404072240 407195360 409153030 411419008 416592176 418200640 421077020 423703280 432457480 435154720 438518080 440626340 447914896 450369920 457169336 460020704 463184722 475703228 476105344 481230880 482369888 483544490 484232320 492336208 494237120 495406912 500740240 503147645 503572960 514273760 518248640 520740220 529353968 531898939 532255360 543660832 550814264 559893620 562669952 565701136 570073504 571461670 572274560 572814242 575025880 585480896 594629035 595131680 595474880 602962360 615420260 619258640 628607837 629502016 640911040 646515584 654644848 661692460 673723232 676962286 677925248 679576040 688517830 689099840 691931968 703337440 705002144 707126420 707724160 712591880 727861706 731851120 742107520 747533644 757440320 773671184 783851068 786877520 800046338 801184384 805036232 808144480 814390720 818306060 833184352 836401280 842154040 847406560 864914960 870309440 877036160 881252680 895829792 914338672 920041408 926369444 934417055 951406456 962461760 964739776 967088980 979813835 984672416 988474240 990813824 1001480480 1006295290 1007145920 1028547520 1036497280 1041480440 1058707936 1063797878 1087321664 1101628528 1119787240 1131402272 1140147008 1142923340 1145628484 1150051760 1157961805 1170961792 1189258070 1190263360 1190949760 1205924720 1230840520 1238517280 1257215674 1259004032 1281822080 1308183877 1309289696 1323384920 1347446464 1353924572 1359152080 1377035660 1378199680 1383863936 1406674880 1410004288 1414252840 1425183760 1432035605 1455723412 1463702240 1495067288 1514880640 1547342368 1567702136 1573755040 1600092676 1610072464 1616288960 1628781440 1636612120 1666368704 1684308080 1692405715 1694813120 1729829920 1740618880 1762505360 1791659584 1819654265 1828677344 1840082816 1852738888 1868834110 1902812912 1924923520 1929479552 1934177960 1959627670 1969344832 2000115845 2002960960 2012590580 2014291840 2057095040 2082960880 2117415872 2127595756 2174643328 2203257056 2239574480 2262804544 2280294016 2285846680 2291256968 2300103520 2315923610 2378516140 2380526720 2411849440 2461681040 2477034560 2514431348 2547515971 2616367754 2618579392 2646769840 2659494695 2694892928 2707849144 2718304160 2754071320 2813349760 2820008576 2828505680 2850367520 2864071210 2911446824 2927404480 2990134576 3094684736 3135404272 3143039185 3147510080 3200185352 3220144928 3232577920 3273224240 3332737408 3368616160 3384811430 3389626240 3459659840 3525010720 3583319168 3639308530 3657354688 3705477776 3723292573 3737668220 3805625824 3868355920 3919255340 3938689664 4000231690 4005921920 4025181160 4165921760 4234831744 4255191512 4400254859 4406514112 4479148960 4525609088 4571693360 4582513936 4600207040 4631847220 4757032280 4823698880 4923362080 4954069120 5028862696 5095031942 5232735508 5237158784 5293539680 5318989390 5415698288 5436608320 5508142640 5657011360 5700735040 5728142420 5822893648 5854808960 5980269152 6189369472 6270808544 6286078370 6295020160 6400370704 6440289856 6540919385 6546448480 6737232320 6769622860 6914686207 6919319680 7050021440 7278617060 7314709376 7410955552 7446585146 7475336440 7611251648 7736711840 7838510680 8000463380 8050362320 8331843520 8510383024 8800509718 8813028224 8958297920 9143386720 9165027872 9200414080 9263694440 9514064560 9647397760 9846724160 10057725392 10190063884 10465471016 10587079360 10637978780 10831396576 10873216640 11016285280 11314022720 11401470080 11456284840 11645787296 11960538304 12541617088 12572156740 12737579855 12800741408 12880579712 13081838770 13092896960 13474464640 13539245720 13829372414 14100042880 14557234120 14821911104 14893170292 14950672880 15222503296 15473423680 15677021360 16000926760 16100724640 16663687040 17020766048 17601019436 17916595840 18286773440 18330055744 18527388880 18616462865 19028129120 19693448320 20115450784 20380127768 20930942032 21174158720 21275957560 21662793152 22001274295 22032570560 22628045440 22912569680 23291574592 23921076608 25083234176 25144313480 25475159710 25601482816 26163677540 26185793920 27078491440 27658744828 29114468240 29643822208 29786340584 29901345760 30946847360 31354042720 32001853520 32201449280 34041532096 34573431035 35202038872 36573546880 36660111488 37054777760 37232925730 38056258240 40230901568 40760255536 41861884064 42551915120 43325586304 44002548590 44065141120 45825139360 46583149184 48402803449 50288626960 50950319420 51202965632 52327355080 54156982880 55317489656 58228936480 59572681168 59802691520 62708085440 64003707040 64402898560 68083064192 69146862070 70404077744 74109555520 74465851460 76112516480 80461803136 81520511072 83723768128 85103830240 88005097180 91650278720 96805606898 100577253920 101900638840 104654710160 108313965760 110634979312 116457872960 119145362336 119605383040 125416170880 128007414080 138293724140 140808155488 148219111040 148931702920 163041022144 167447536256 170207660480 176010194360 183300557440 193611213796 201154507840 203801277680 209309420320 216627931520 221269958624 232915745920 238290724672 242014017245 256014828160 276587448280 281616310976 297863405840 326082044288 340415320960 352020388720 387222427592 402309015680 407602555360 418618840640 442539917248 476581449344 484028034490 553174896560 563232621952 595726811680 704040777440 774444855184 815205110720 837237681280 885079834496 968056068980 1106349793120 1191453623360 1408081554880 1548889710368 1630410221440 1936112137960 2212699586240 2382907246720 2816163109760 3097779420736 3872224275920 4425399172480 6195558841472 7744448551840 15488897103680 30977794207360
- Sum of all divisors σ(n): 109027011744000
- Sum of proper divisors (its aliquot sum) s(n): 78049217536640
- 30977794207360 is an abundant number, because the sum of its proper divisors (78049217536640) is greater than itself. Its abundance is 47071423329280
Bases of 30977794207360
- Binary: 1110000101100100101000110101101101110100000002
- Hexadecimal: 0x1C2C946B6E80
- Base-36: AZB02UJ5S
Squares and roots of 30977794207360
- 30977794207360 squared (309777942073602) is 959623733953546770678169600
- 30977794207360 cubed (309777942073603) is 29727026546911354904041036533687648256000
-
The
square root of 30977794207360 is 5565769.8665467655 -
The
cube root of 30977794207360 is 31406.3039959589
Scales and comparisons
How big is 30977794207360?- 30,977,794,207,360 seconds is equal to 984,998 years, 1 week, 5 days, 19 hours, 22 minutes, 40 seconds.
-
To count from 1 to 30,977,794,207,360 would take you about two million, four hundred sixty-two thousand, four hundred ninety-five 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 30977794207360 cubic inches would be around 2617.2 feet tall.
Recreational maths with 30977794207360
- 30977794207360 backwards is 06370249777903
- 30977794207360 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 30977794207360's digits is 64
- 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 30977794207360 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 30977794207360 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/30977794207360/
Chicago style:
Numbermatics. 2024. "Number 30977794207360 - Facts about the integer". https://numbermatics.com/n/30977794207360/
The information we have on file for 30977794207360 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 30977794207360, math, Factors of 30977794207360, curriculum, school, college, exams, university, Prime factorization of 30977794207360, STEM, science, technology, engineering, physics, economics, calculator, thirty trillion, nine hundred seventy-seven billion, seven hundred ninety-four million, two hundred seven thousand, three hundred sixty.