870192115892190
870,192,115,892,190 is an even composite number composed of eight prime numbers multiplied together.
What does the number 870192115892190 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
870192115892190 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 870192115892190:
2 × 32 × 5 × 74 × 132 × 172 × 41 × 2011
(2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 41 × 2011)See below for interesting mathematical facts about the number 870192115892190 from the Numbermatics database.
Names of 870192115892190
- Cardinal: 870192115892190 can be written as Eight hundred seventy trillion, one hundred ninety-two billion, one hundred fifteen million, eight hundred ninety-two thousand, one hundred ninety.
Scientific notation
- Scientific notation: 8.7019211589219 × 1014
Factors of 870192115892190
Divisors of 870192115892190
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 17 18 21 26 30 34 35 39 41 42 45 49 51 63 65 70 78 82 85 90 91 98 102 105 117 119 123 126 130 147 153 169 170 182 195 205 210 221 234 238 245 246 255 273 287 289 294 306 315 338 343 357 369 390 410 441 442 455 490 507 510 533 546 574 578 585 595 615 630 637 663 686 697 714 735 738 765 819 833 845 861 867 882 910 1014 1029 1066 1071 1105 1170 1183 1190 1230 1274 1326 1365 1394 1435 1445 1470 1521 1530 1547 1599 1638 1666 1690 1715 1722 1734 1785 1845 1911 1989 2009 2011 2023 2058 2091 2142 2205 2210 2366 2401 2499 2535 2583 2601 2665 2730 2870 2873 2890 3042 3087 3094 3185 3198 3315 3430 3485 3549 3570 3690 3731 3757 3822 3978 4018 4022 4046 4095 4165 4182 4305 4335 4410 4459 4641 4797 4802 4879 4998 5070 5145 5166 5202 5330 5355 5733 5746 5831 5915 6027 6033 6069 6174 6273 6370 6630 6929 6970 7098 7203 7462 7497 7514 7605 7735 7995 8190 8281 8330 8610 8619 8670 8918 9061 9282 9555 9594 9758 9945 10045 10055 10115 10290 10455 10647 10710 10829 11193 11271 11466 11662 11830 11849 12005 12054 12066 12138 12495 12546 12915 13005 13377 13858 13923 14063 14077 14161 14365 14406 14637 14994 15210 15435 15470 15990 16562 17238 17493 17745 18081 18099 18122 18207 18655 18785 19110 19890 20090 20110 20111 20230 20787 20910 21294 21609 21658 22295 22386 22542 23205 23698 23985 24010 24395 24843 24990 25830 25857 26010 26117 26143 26299 26754 27183 27846 28126 28154 28322 28665 28730 29155 29274 30135 30165 30345 30870 31213 31365 32487 33579 33813 34153 34187 34645 34986 35490 35547 36015 36162 36198 36414 37310 37485 37570 40131 40222 40817 41405 41574 42189 42231 42483 43095 43218 43911 44590 45305 46410 47970 48503 48790 48841 49686 51714 52234 52286 52479 52598 53235 54145 54366 55965 56355 57330 57967 58310 59245 60270 60330 60333 60690 62361 62426 62730 63427 64974 66885 67158 67626 68306 68374 69290 69615 70315 70385 70805 71094 72030 73185 74529 74970 75803 78351 78429 78897 80262 81549 81634 82451 82810 82943 84378 84462 84966 86190 87465 87822 90405 90495 90610 91035 93639 97006 97461 97682 98441 98539 99127 100555 102459 102561 103935 104958 106470 106641 108045 108290 111930 112710 115934 117793 118490 120666 122451 124215 124722 126567 126693 126854 127449 129285 130585 130715 131495 133770 135915 139230 140630 140770 140777 141610 145509 146370 146523 149058 151606 154037 156065 156702 156858 157794 162435 163098 164902 165886 167895 169065 170765 170935 173901 174930 177735 180810 180990 180999 182070 182819 183001 184093 187278 190281 194922 196882 197078 198254 200655 201110 204085 204918 205122 207870 210945 211155 212415 213282 216090 219555 227409 235053 235287 235586 236691 239071 239309 242515 244205 244902 247353 248430 248829 253134 253386 254898 258570 261170 261430 262395 262990 271830 280917 281554 289835 291018 293046 295323 295617 297381 301665 307377 307683 308074 311805 312130 317135 324870 335790 338130 339521 339859 341530 341870 341887 347802 353379 355470 361998 365638 366002 367353 368186 372645 379015 380562 391755 392145 394485 401310 405769 407745 408170 412255 414715 421890 422310 422331 424830 436527 439110 439569 443989 444431 454818 462111 468195 470106 470574 473382 478142 478618 485030 487305 488410 492205 492695 494706 495635 497658 512295 512805 521703 524790 530621 533205 548457 549003 552279 561834 570843 577157 579670 580601 581179 588965 590646 591234 594762 603330 612255 614754 615366 623610 632835 633465 634270 637245 679042 679718 682227 683774 689773 693889 703885 706758 717213 717927 727545 732615 734706 742059 745290 746487 758030 770185 783510 784290 788970 811538 815490 824510 824551 829430 844662 869505 873054 879138 885969 886851 887978 888862 892143 904995 914095 915005 920465 924222 936390 951405 974610 984410 985390 985439 991270 1018563 1019577 1024590 1025610 1025661 1043406 1060137 1061242 1066410 1071863 1078259 1096914 1098006 1104558 1137045 1141686 1154314 1161202 1162358 1175265 1176435 1177930 1183455 1195355 1196545 1217307 1224510 1236765 1244145 1265670 1266930 1266993 1274490 1279733 1281007 1288651 1331967 1333293 1364454 1379546 1386333 1387778 1401667 1404585 1407770 1434426 1435854 1455090 1465230 1476615 1478085 1484118 1486905 1492974 1536885 1538415 1540370 1591863 1645371 1647009 1649102 1656837 1673497 1675163 1697605 1699295 1709435 1731471 1739010 1741803 1743537 1766895 1771938 1773702 1784286 1809990 1828190 1830010 1836765 1840930 1902810 1970878 2002481 2028845 2037126 2039154 2051322 2069319 2081667 2111655 2120274 2143726 2151639 2153781 2156518 2182635 2197845 2219945 2222155 2274090 2310555 2350530 2352870 2366910 2376647 2379013 2390710 2393090 2393209 2434614 2473530 2473653 2488290 2533986 2559466 2562014 2577302 2608515 2653105 2663934 2666586 2742285 2745015 2761395 2772666 2803334 2809170 2854215 2885785 2903005 2905895 2953230 2956170 2956317 2973810 3055689 3058731 3073770 3076830 3076983 3107923 3111017 3183726 3215589 3234777 3290742 3294018 3313674 3346994 3350326 3395210 3398590 3411135 3418870 3448865 3462942 3469445 3483606 3487074 3533790 3586065 3589635 3651921 3673530 3710295 3732435 3839199 3843021 3865953 3995901 3999879 4004962 4040099 4057690 4064207 4068253 4122755 4138638 4163334 4205001 4223310 4303278 4307562 4365270 4395690 4429845 4434255 4439890 4444310 4460715 4621110 4753294 4758026 4775589 4786418 4828411 4927195 4947306 5020491 5025489 5092815 5097885 5128305 5194413 5217030 5225409 5230611 5300685 5306210 5359315 5391295 5484570 5490030 5522790 5708430 5771570 5771857 5777603 5806010 5811790 5912634 6007443 6086535 6111378 6117462 6153966 6207957 6215846 6222034 6245001 6334965 6398665 6405035 6431178 6443255 6469554 6659835 6666465 6822270 6897730 6898073 6931665 6938890 7008335 7129941 7137039 7172130 7179270 7179627 7303842 7420590 7420959 7464870 7503041 7547813 7555327 7678398 7686042 7731906 7959315 7991802 7999758 8080198 8128414 8136506 8226855 8235045 8245510 8284185 8367485 8375815 8410002 8657355 8709015 8717685 8859690 8868510 8868951 8921430 8967049 9020557 9323769 9333051 9551178 9646767 9656822 9704331 9811669 9854390 10012405 10040982 10050978 10185630 10195770 10256610 10346595 10388826 10408335 10450818 10461222 10601370 10718630 10758195 10768905 10782590 11517597 11529063 11543714 11555206 11597859 11726141 11883235 11895065 11966045 12014886 12120297 12173070 12192621 12204759 12368265 12415914 12490002 12615003 12669930 12797330 12810070 12886510 13319670 13332930 13796146 13863330 13934219 14016670 14017367 14259882 14274078 14359254 14485233 14781585 14841918 15006082 15061473 15076467 15095626 15110654 15278445 15293655 15384915 15539615 15555085 15918630 16077945 16173885 16453710 16470090 16568370 16636529 16653091 16734970 16751630 16752463 17314710 17315571 17332809 17418030 17435370 17737902 17934098 18022329 18041114 18221671 18259605 18647538 18666102 19195995 19215105 19293534 19329765 19408662 19623338 19979505 19999395 20024810 20200495 20321035 20341265 20693190 20694219 20816670 21025005 21389823 21411117 21516390 21537810 21538881 21755461 21777119 22509123 22643439 22665981 23035194 23058126 23195718 23452282 23766470 23790130 23828339 23877945 23932090 24142055 24240594 24385242 24409518 24736530 25102455 25127445 25230006 25972065 26127045 26153055 26901147 27061671 27868438 27971307 27999153 28034734 28280693 28449449 28477771 28859285 28888015 28970466 29435007 29563170 30037215 30122946 30152934 30556890 30587310 30769830 31039785 31079230 31110170 31225005 32155890 32347770 33273058 33306182 33504926 34490365 34631142 34665618 35178423 35649705 35685195 35898135 36044658 36360891 36443342 36519210 36577863 36614277 37104795 37515205 37739065 37776635 38391990 38430210 38659530 39959010 39998790 40400990 40402999 40443221 40642070 40682530 41388438 41802657 42050010 42052101 42779646 42822234 43077762 43455699 43510922 43554238 44344755 44835245 45018246 45102785 45286878 45331962 46618845 46665255 47656678 47755890 48233835 48284110 48521655 49058345 49909587 49959273 50204910 50254890 50257389 51944130 51946713 51998427 52254090 52306110 52521287 52834691 52887289 53802294 54123342 54665013 55942614 55998306 56561386 56898898 56955542 57587985 57645315 57718570 57776030 57989295 58630705 58870014 60074430 60601485 60963105 61023795 62079570 62082657 62450010 62769343 63075015 65266383 65331357 67527369 67930317 67997943 68681683 68980730 69671095 70086835 70356846 71299410 71370390 71485017 71796270 72426165 72721782 73155726 73228554 74209590 75030410 75307365 75382335 75478130 75553270 80703441 80805998 80886442 81185013 82082987 83182645 83265455 83605314 83762315 84104202 84842079 85348347 85433313 86577855 86664045 86911398 88305021 88689510 89670490 90111645 90205570 91108355 93237690 93330510 96467670 97043310 97539533 98116690 98121569 98219251 99819174 99918546 100514778 103471095 103893426 103996854 105042574 105535269 105669382 105774578 106949115 107055585 107694405 108777305 108885595 109330026 112545615 113217195 113329905 115175970 115290630 115978590 116571637 117261410 117267241 119141695 121202970 121208997 121329663 121926210 122047590 124165314 125407971 125538686 126150030 126156303 127551697 130532766 130662714 134505735 135054738 135308355 135860634 135995886 137363366 139342190 139856535 139995765 140173670 141403465 142247245 142388855 142970034 144852330 147175035 149728761 149877819 150614730 150764670 150772167 152439833 157563861 158504073 158661867 161406882 162370026 163995039 164165974 166365290 166530910 166798373 167524630 169684158 170696694 170866626 173155710 173328090 175892115 176610042 180223290 181804455 182216710 182889315 183071385 188308029 195079066 195799149 195994071 196243138 196438502 197964851 199344397 202014995 202216105 206045049 206942190 209013285 210260505 211070538 213898230 214111170 214455051 215388810 217278495 217554610 217771190 225091230 226434390 226659810 233143274 234534482 236881723 238283390 242417994 242659326 246248961 249547935 249796365 250815942 251286945 252312606 254526237 255103394 256045041 256299939 259733565 259992135 262606435 264173455 264436445 269011470 270616710 273325065 279713070 279991530 282806930 282820993 283102547 284494490 284777710 292618599 294350070 294364707 294657753 299457522 299755638 301544334 304879666 309768407 310413285 313846715 315127722 317008146 317323734 326331915 326656785 327990078 333596746 337636845 339651585 339989715 343408415 349714911 351784230 351801723 357425085 363608910 363626991 363988989 365778630 366142770 367649009 369842837 370211023 376616058 382655091 391598298 391988142 395929702 398688794 403517205 404029990 404432210 405925065 410414935 412090098 418026570 420521010 424210395 426741735 427166565 428910102 434556990 441525105 457319499 472691583 473763446 475512219 475985601 480771781 487697665 490607845 491096255 492497922 499095870 499592730 500395119 502573890 509052474 512090082 512599878 519467130 519984270 525212870 527676345 528346910 528872890 546650130 564924087 565641986 566205094 582858185 585237198 586336205 588729414 589315506 593894553 598033191 606044985 606648315 618135147 619536814 620826570 627039855 627693430 630781515 637758485 652663830 653313570 675273690 679303170 679979430 682776731 686816830 686850983 687534757 699429822 703603446 710645169 714850170 727253982 727977978 735298018 738746883 739685674 740422046 748643805 749389095 753860835 762199165 765310182 787819305 792520365 793309335 807034410 811850130 816001459 819975195 820829870 833991865 848420790 848462979 849307641 853483470 854333130 877855797 883050210 883094121 883973259 892861879 914638998 929305221 941540145 945383166 951024438 951971202 961543562 975395330 978995745 979970355 981215690 982192510 989824255 996721985 1000790238 1030225245 1049144733 1055352690 1055405169 1067078831 1072275255 1102947027 1109528511 1110633069 1129848174 1147965273 1165716370 1167588611 1172672410 1184408615 1187789106 1196066382 1212089970 1213296630 1231244805 1236270294 1254079710 1261563030 1272631185 1275516970 1280225205 1281499695 1365553462 1371958497 1373701966 1375069514 1395410779 1414104965 1415512735 1421290338 1442315343 1463092995 1471823535 1473288765 1477493766 1497287610 1498778190 1501185357 1507721670 1524398330 1548842035 1575638610 1585040730 1586618670 1632002918 1639950390 1658172061 1667983730 1696925958 1698615282 1748574555 1755711594 1759008615 1766188242 1767946518 1781683659 1785723758 1794099573 1818134955 1819944945 1838245045 1849214185 1851055115 1858610442 1883080290 1913275455 1957991490 1959940710 1979648510 1981717829 1993443970 2048330193 2060450490 2060552949 2062604271 2098289466 2110810338 2131935507 2134157662 2144550510 2168378849 2205894054 2219057022 2221266138 2286597495 2295930546 2335177222 2363457915 2368817230 2377561095 2379928005 2403858905 2448004377 2462489610 2501975595 2545262370 2545388937 2547922923 2560450410 2562999390 2573543063 2591477161 2678585637 2743916994 2787915663 2790821558 2824620435 2828209930 2831025470 2884630686 2926185990 2943647070 2946577530 2969472765 2990165955 3002370714 3090675735 3097684070 3201236493 3308841081 3316344122 3328585533 3331899207 3365402467 3413883655 3434254915 3437673785 3497149110 3502765833 3518017230 3553225845 3563367318 3588199146 3636269910 3639889890 3676490090 3693734415 3698428370 3702110230 3826550910 3963435658 4026989291 4080007295 4096660386 4121105898 4125208542 4186232337 4242314895 4246538205 4263871014 4326946029 4336757698 4389278985 4415470605 4419866295 4464309395 4573194990 4646526105 4726915830 4755122190 4759856010 4779437117 4807717810 4807956881 4812743299 4896008754 4974516183 5003951190 5090777874 5095845846 5147086126 5182954322 5245723665 5277025845 5335394155 5357171274 5514735135 5547642555 5553165345 5575831326 5649240870 5739826365 5837943055 5938945530 5945153487 5980331910 6144990579 6181351470 6181658847 6187812813 6250033153 6402472986 6505136547 6617682162 6657171066 6663798414 6730804934 6827767310 6859792485 6868509830 6875347570 6977053895 7005531666 7106451690 7211576715 7344013131 7387468830 7505926785 7720629189 7774431483 8035756911 8053978582 8160014590 8173120277 8290860305 8372464674 8484629790 8493076410 8653892058 8778557970 8830941210 8839732590 8908418295 8928618790 8970497865 9293052210 9558874234 9603709479 9615913762 9625486598 9908589145 9949032366 10096207401 10241650965 10302764745 10313021355 10491447330 10508297499 10554051690 10659677535 10670788310 10841894245 11029470270 11095285110 11106330690 11479652730 11607204427 11675886110 11890306974 12080967873 12240021885 12289981158 12363317694 12375625626 12500066306 12558697011 12726944685 12739614615 12867715315 12957385805 13010273094 13392928185 13719584970 13872024803 13939578315 13954107790 14338311351 14423153430 14423870643 14438229897 14688026262 14923548549 15011853570 15178651943 15441258378 15548862966 16006182465 16071513822 16346240554 16544205405 16581720610 16642927665 16659496035 16827012335 17513829165 17816836590 17835460461 17940995730 18140340127 18750099459 19207418958 19515409641 19817178290 20134946455 20192414802 20483301930 20605529490 20626042710 20931161685 21016594998 21319355070 21634730145 21683788490 23161887567 23214408854 23323294449 23897185585 24039784405 24063716495 24161935746 24480043770 24519360831 24872580915 25117394022 25453889370 25479229230 25735430630 25914771610 26785856370 27744049606 27879156630 28188925037 28676622702 28847741286 28876459794 29725767435 29847097098 30288622203 30357303886 30724952895 30908294235 30939064065 31250165765 32012364930 32525682735 33088410810 33285855330 33318992070 33456059819 33654024670 33689203093 34821613281 35027658330 35670920922 36242903619 36280680254 36720065655 37500198918 38603145945 38872157415 39030819282 40178784555 40269892910 40865601385 41616074409 41862323370 43014934053 43269460290 43271611929 43314689691 43750232071 45535955829 46323775134 46646588898 47794371170 48018547395 48079568810 48127432990 49038721662 49745161830 50481037005 52541487495 54421020381 56250298377 56377850074 57211841939 58036022135 59451534870 60404839365 60577244406 61449905790 61816588470 61878128130 62500331530 62793485055 65051365470 66912119638 67378406186 69360124015 69643226562 71691556755 72119353215 72191149485 72485807238 73440131310 73558082493 74617742745 75893259715 77206291890 77744314830 80357569110 81250430989 81731202770 83232148818 84566775111 86029868106 86543223858 86629379382 87500464142 89177302305 90701700635 91071911658 93750497295 96037094790 97577048205 100368179457 100962074010 101067609279 104464839843 105082974990 106250563601 108842040762 112500596754 114423683878 115809437835 116072044270 116616472245 120809678730 122596804155 124848223227 125586970110 131250696213 136607867487 138720248030 140944625185 143383113510 144238706430 144382298970 147116164986 149235485490 151443111015 151786519430 162500861978 163263061143 167280299095 168446015465 169133550222 171635525817 174108066405 178354604610 181214518095 181403401270 187500994590 195154096410 197322475259 200736358914 202135218558 208080372045 208929679686 212501127202 215074670265 216358059645 216573448455 218751160355 227679779145 231618875670 233232944490 235824421651 243751292967 245193608310 249696446454 253700325333 262501392426 272105101905 273215734974 281251491885 281889250370 286059209695 301104538371 302886222030 303202827837 318751690803 326526122286 334560598190 336892030930 343271051634 348216132810 362429036190 367790412465 393752088639 394644950518 406252154945 416160744090 422833875555 430149340530 432716119290 433146896910 437502320710 455359558290 471648843302 487502585934 501840897285 505338046395 507400650666 514906577451 522324199215 531252818005 544210203810 562502983770 568753016923 572118419390 591967425777 602209076742 606405655674 624241116135 637503381606 656253481065 683039337435 707473264953 731253878901 735580824930 743753945207 787504177278 812504309890 816315305715 845667751110 858177629085 956255072409 986612376295 1003681794570 1010676092790 1029813154902 1044648398430 1062505636010 1137506033846 1179122108255 1183934851554 1218756464835 1248482232270 1268501626665 1312506962130 1366078674870 1381257326813 1414946529906 1462507757802 1487507890414 1505522691855 1516014139185 1593758454015 1632630611430 1706259050769 1716355258170 1775902277331 1912510144818 1968760443195 1973224752590 2122419794859 2231261835621 2358244216510 2437512929670 2537003253330 2574532887255 2762514653626 2843765084615 2959837128885 3011045383710 3032028278370 3187516908030 3412518101538 3537366324765 3551804554662 3656269394505 3718769726035 3937520886390 4143771980439 4244839589718 4462523671242 4781275362045 5118777152307 5149065774510 5687530169230 5919674257770 6693785506863 6906286634065 7074732649530 7312538789010 7437539452070 8287543960878 8531295253845 8879511386655 9562550724090 9668801287691 10237554304614 10612098974295 11156309178105 12431315941317 13387571013726 13812573268130 17062590507690 17759022773310 19337602575382 20718859902195 21224197948590 22312618356210 24862631882634 25593885761535 29006403863073 33468927534315 41437719804390 48344006438455 51187771523070 58012807726146 62156579706585 66937855068630 87019211589219 96688012876910 124313159413170 145032019315365 174038423178438 290064038630730 435096057946095 870192115892190
- Sum of all divisors σ(n): 3111685515063216
- Sum of proper divisors (its aliquot sum) s(n): 2241493399171026
- 870192115892190 is an abundant number, because the sum of its proper divisors (2241493399171026) is greater than itself. Its abundance is 1371301283278836
Bases of 870192115892190
- Binary: 110001011101101111011000111111010000111111110111102
- Hexadecimal: 0x3176F63F43FDE
- Base-36: 8KGGQM3VFI
Squares and roots of 870192115892190
- 870192115892190 squared (8701921158921902) is 757234318560926631959702996100
- 870192115892190 cubed (8701921158921903) is 658939333894713388901713676716223167590459000
-
The
square root of 870192115892190 is 29499018.8971123241 -
The
cube root of 870192115892190 is 95471.0534564079
Scales and comparisons
How big is 870192115892190?- 870,192,115,892,190 seconds is equal to 27,669,417 years, 31 weeks, 3 days, 16 minutes, 30 seconds.
-
To count from 1 to 870,192,115,892,190 would take you about sixty-nine million, one hundred seventy-three thousand, five hundred forty-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 870192115892190 cubic inches would be around 7955.9 feet tall.
Recreational maths with 870192115892190
- 870192115892190 backwards is 091298511291078
- 870192115892190 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 870192115892190's digits is 63
- 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 870192115892190 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 870192115892190 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/870192115892190/
Chicago style:
Numbermatics. 2024. "Number 870192115892190 - Facts about the integer". https://numbermatics.com/n/870192115892190/
The information we have on file for 870192115892190 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 870192115892190, math, Factors of 870192115892190, curriculum, school, college, exams, university, Prime factorization of 870192115892190, STEM, science, technology, engineering, physics, economics, calculator, eight hundred seventy trillion, one hundred ninety-two billion, one hundred fifteen million, eight hundred ninety-two thousand, one hundred ninety.