953320216601088
953,320,216,601,088 is an even composite number composed of seven prime numbers multiplied together.
What does the number 953320216601088 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
953320216601088 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 953320216601088:
29 × 32 × 72 × 172 × 31 × 151 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 17 × 31 × 151 × 3121)See below for interesting mathematical facts about the number 953320216601088 from the Numbermatics database.
Names of 953320216601088
- Cardinal: 953320216601088 can be written as Nine hundred fifty-three trillion, three hundred twenty billion, two hundred sixteen million, six hundred one thousand and eighty-eight.
Scientific notation
- Scientific notation: 9.53320216601088 × 1014
Factors of 953320216601088
Divisors of 953320216601088
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 42 48 49 51 56 62 63 64 68 72 84 93 96 98 102 112 119 124 126 128 136 144 147 151 153 168 186 192 196 204 217 224 238 248 252 256 272 279 288 289 294 302 306 336 357 372 384 392 408 434 441 448 453 476 496 504 512 527 544 558 576 578 588 604 612 651 672 714 744 768 784 816 833 867 868 882 896 906 952 992 1008 1054 1057 1071 1088 1116 1152 1156 1176 1208 1224 1302 1344 1359 1428 1488 1519 1536 1568 1581 1632 1666 1734 1736 1764 1792 1812 1904 1953 1984 2016 2023 2108 2114 2142 2176 2232 2304 2312 2352 2416 2448 2499 2567 2601 2604 2688 2718 2856 2976 3038 3121 3136 3162 3171 3264 3332 3468 3472 3528 3584 3624 3689 3808 3906 3968 4032 4046 4216 4228 4284 4352 4464 4557 4608 4624 4681 4704 4743 4832 4896 4998 5134 5202 5208 5376 5436 5712 5952 6069 6076 6242 6272 6324 6342 6528 6664 6936 6944 7056 7248 7378 7399 7497 7616 7701 7812 7936 8064 8092 8432 8456 8568 8704 8928 8959 9114 9248 9362 9363 9408 9486 9513 9664 9792 9996 10268 10404 10416 10752 10872 11067 11424 11904 12138 12152 12484 12544 12648 12684 13056 13328 13671 13872 13888 14043 14112 14161 14496 14756 14798 14994 15232 15402 15624 15872 16128 16184 16864 16912 17136 17856 17918 17969 18207 18228 18496 18724 18726 18816 18972 19026 19328 19584 19992 20536 20808 20832 21744 21847 22134 22197 22848 23103 23808 24276 24304 24968 25088 25296 25368 25823 26112 26656 26877 27342 27744 27776 28086 28089 28224 28322 28992 29512 29596 29988 30464 30804 31248 32256 32368 32767 33201 33728 33824 34272 35712 35836 35938 36414 36456 36992 37448 37452 37632 37944 38052 38656 39168 39984 41072 41616 41664 42129 42483 43488 43639 43694 44268 44394 45696 46206 47616 48552 48608 49936 50592 50736 51646 53057 53312 53754 53907 54684 55488 55552 56172 56178 56448 56644 57984 59024 59192 59976 60928 61608 62496 62713 64736 65534 65541 66402 66591 67456 67648 68544 71424 71672 71876 72828 72912 73984 74896 74904 75264 75888 76104 77312 77469 78336 79577 79968 80631 82144 83232 83328 84258 84966 86976 87278 87388 88536 88788 91392 92412 96751 97104 97216 98301 99872 101184 101472 103292 106114 106624 107508 107814 109368 110976 111104 112344 112356 112896 113288 115968 118048 118384 119952 123216 124992 125426 125783 127449 129472 130917 131068 131082 132804 133182 134912 135296 137088 142848 143344 143752 145656 145824 147968 149792 149808 151776 152208 152929 154938 159154 159171 159936 161262 161721 164288 166464 166656 168516 169932 173952 174556 174776 177072 177576 182784 184824 188139 193502 194208 194432 196602 196623 199744 202368 202944 206584 212228 213248 215016 215628 218736 221952 224688 224712 225792 226576 229369 231936 232407 236096 236768 238731 239904 246432 249984 250852 251566 254898 258944 261834 262136 262164 265608 266364 269824 270592 274176 286688 287504 290253 291312 291648 294903 299584 299616 303552 304416 305473 305858 309876 318308 318342 319872 322524 323442 328576 332928 333312 337032 339864 347904 349112 349552 354144 355152 369648 371399 376278 377349 387004 388416 388864 392751 393204 393246 399488 404736 405888 413168 424456 426496 430032 431256 437472 438991 443904 449376 449424 453152 458738 458787 464814 471271 472192 473536 477462 477513 479808 492864 499968 501704 503132 509796 517888 523668 524272 524328 531216 532728 541184 548352 557039 564417 573376 575008 580506 582624 583296 589806 599168 599232 607104 608832 610946 611716 619752 636616 636684 639744 645048 646884 657152 665856 674064 677257 679728 688107 695808 698224 699104 708288 710304 716193 739296 742798 752556 754698 774008 776832 777728 785502 786408 786492 798976 809472 811776 826336 848912 860064 862512 870759 874944 877982 898752 898848 901969 906304 916419 917476 917574 929628 942542 944384 947072 954924 955026 959616 985728 999936 1003408 1006264 1019592 1035776 1047336 1048544 1048656 1062432 1065456 1114078 1114197 1128834 1132047 1146752 1150016 1161012 1165248 1166592 1179612 1198336 1198464 1214208 1217664 1221892 1223432 1239504 1273232 1273368 1279488 1290096 1293768 1314304 1316973 1331712 1348128 1352809 1354514 1359456 1376214 1376361 1396448 1398208 1413813 1416576 1420608 1432386 1478592 1485596 1505112 1509396 1548016 1553664 1571004 1572816 1572984 1597952 1623552 1644767 1652672 1671117 1697824 1720128 1725024 1741518 1749888 1755964 1797504 1797696 1803938 1812608 1832838 1834952 1835148 1859256 1885084 1888768 1894144 1909848 1910052 1919232 1971456 2006816 2012528 2031771 2039184 2064321 2094672 2097088 2097312 2124864 2130912 2138311 2228156 2228394 2257668 2264094 2293504 2300032 2322024 2330496 2333184 2359224 2396672 2396928 2428416 2435328 2443784 2446864 2479008 2546464 2546736 2580192 2587536 2599793 2633946 2696256 2705618 2705907 2709028 2718912 2749257 2752428 2752722 2792896 2796416 2827626 2833152 2841216 2864772 2957184 2971192 3010224 3018792 3096032 3107328 3142008 3145632 3145968 3289534 3298897 3305344 3342234 3342591 3395648 3440256 3450048 3483036 3499776 3511928 3595008 3595392 3607876 3625216 3665676 3669904 3670296 3718512 3770168 3788288 3819696 3820104 3838464 3899273 3942912 3950919 4013632 4025056 4058427 4063542 4078368 4128642 4189344 4194176 4194624 4241439 4249728 4261824 4276622 4456312 4456788 4515336 4528188 4587008 4600064 4644048 4660992 4718448 4740799 4793856 4870656 4887568 4893728 4934301 4958016 5013351 5092928 5093472 5160384 5175072 5199586 5267892 5392512 5411236 5411814 5418056 5437824 5498514 5504856 5505444 5585792 5592832 5655252 5666304 5682432 5729544 5914368 5942384 6020448 6037584 6095313 6192064 6284016 6291264 6291936 6313783 6414933 6579068 6597794 6610688 6684468 6685182 6791296 6880512 6900096 6966072 6999552 7023856 7190016 7190784 7215752 7250432 7331352 7339808 7340592 7437024 7540336 7639392 7640208 7798546 7799379 7901838 8011607 8027264 8050112 8116854 8117721 8127084 8156736 8257284 8378688 8388352 8389248 8482878 8499456 8523648 8553244 8912624 8913576 9030672 9056376 9200128 9288096 9321984 9436896 9469663 9481598 9775136 9787456 9868602 9896691 9916032 10026702 10185856 10186944 10320768 10350144 10399172 10535784 10785024 10822472 10823628 10836112 10875648 10997028 11009712 11010888 11171584 11185664 11310504 11364864 11459088 11513369 11697819 11828736 11884768 12040896 12075168 12175281 12190626 12384128 12568032 12582528 12583872 12627566 12829866 13158136 13195588 13221376 13368936 13370364 13582592 13761024 13800192 13932144 14047712 14222397 14381568 14431504 14609401 14662704 14679616 14681184 14802903 14874048 15080672 15278784 15280416 15597092 15598758 15803676 16023214 16054528 16100224 16233708 16235442 16254168 16313472 16514568 16757376 16776704 16778496 16965756 16998912 17047296 17106488 17825248 17827152 18061344 18112752 18576192 18873792 18939326 18941349 18963196 19244799 19550272 19574912 19737204 19793382 19832064 20053404 20371712 20373888 20641536 20700288 20798344 21071568 21570048 21644944 21647256 21672224 21751296 21994056 22019424 22021776 22343168 22621008 22918176 23026738 23092279 23395638 23398137 23769536 24034821 24081792 24150336 24350562 24381252 24768256 25136064 25165056 25167744 25255132 25659732 26316272 26391176 26737872 26740728 27165184 27600384 27864288 27961039 28095424 28408989 28444794 28863008 29218802 29325408 29359232 29362368 29605806 29690073 29748096 30161344 30557568 30560832 31194184 31197516 31607352 32046428 32109056 32200448 32467416 32470884 32508336 32626944 33029136 33514752 33556992 33931512 34094592 34212976 34540107 35093457 35650496 35654304 36122688 36225504 37152384 37747584 37878652 37882698 37926392 38489598 39100544 39149824 39474408 39586764 39664128 40106808 40743424 40747776 41283072 41400576 41596688 42143136 42667191 43289888 43294512 43344448 43828203 43988112 44038848 44043552 44196481 45242016 45836352 46053476 46184558 46791276 46796274 47539072 48069642 48163584 48300672 48701124 48762504 49536512 50272128 50330112 50335488 50510264 51319464 52632544 52782352 53475744 53481456 55728576 55922078 56081249 56190848 56817978 56824047 56889588 57726016 58437604 58650816 58718464 58724736 59211612 59380146 59496192 60322688 61115136 61121664 62388368 62395032 63214704 64092856 64400896 64934832 64941768 65016672 65253888 66058272 66287641 67029504 67863024 68425952 69080214 69276837 70186914 71300992 71308608 72104463 72245376 72451008 74304768 75495168 75757304 75765396 75852784 76979196 78201088 78299648 78948816 79173528 80213616 80593583 81495552 82801152 83193376 83883117 84286272 85226967 85334382 86579776 86589024 86688896 87656406 87976224 88077696 88087104 88392962 90484032 91672704 92106952 92369116 93582552 93592548 95078144 96139284 96327168 96601344 97402248 97525008 100544256 100670976 101020528 102265807 102638928 103620321 105265088 105564704 106951488 106962912 111457152 111844156 112162498 112381696 113635956 113648094 113779176 115452032 116875208 117301632 117436928 117449472 118423224 118760292 118992384 120645376 122230272 122243328 124776736 124790064 126429408 128185712 129869664 129883536 130033344 131484609 132116544 132575282 132589443 135726048 136197319 136851904 138160428 138553674 140373828 142601984 142617216 144208926 144490752 144902016 148609536 150990336 151514608 151530792 151705568 153958392 156402176 157897632 158347056 160427232 161187166 166386752 167766234 168243747 168572544 170453934 170668764 173159552 173178048 173377792 175312812 175952448 176155392 176174208 176785924 180968064 183345408 184213904 184738232 187165104 187185096 190156288 192278568 193202688 194804496 195050016 195727273 198862923 201088512 202041056 204531614 205277856 207240642 207830511 210530176 211129408 213902976 213925824 222914304 223688312 224324996 224763392 227271912 227296188 227558352 230904064 233750416 234603264 234898944 236846448 237520584 241290752 241780749 244486656 248359817 249553472 249580128 251649351 252858816 256371424 259739328 259767072 260066688 262969218 264233088 265150564 265178886 271452096 272394638 273703808 276320856 277107348 280747656 285203968 285234432 288417852 288981504 289804032 303029216 303061584 303411136 306797421 307916784 315795264 316694112 320854464 322374332 332773504 335532468 336487494 337145088 340907868 341337528 346319104 346356096 346755584 350625624 351904896 352310784 352348416 353571848 361936128 366690816 368427808 369476464 374330208 374370192 384557136 389608992 390100032 391454546 392568743 397725846 397768329 404082112 408591957 409063228 410555712 414481284 415661022 421060352 422258816 427805952 427851648 445828608 447376624 448649992 454543824 454592376 455116704 461808128 467500832 469206528 473692896 475041168 483561498 496719634 499106944 499160256 503298702 504731241 505717632 512742848 519478656 519534144 520133376 525938436 528466176 530301128 530357772 542904192 544789276 547407616 552641712 554214696 561495312 570468864 576835704 579608064 587181819 596588769 606058432 606123168 606822272 613594842 615833568 631590528 633388224 641708928 644748664 665547008 671064936 672974988 674290176 681815736 682675056 692638208 692712192 701251248 703809792 704696832 707143696 715860649 723872256 725342247 736855616 738952928 745079451 748660416 748740384 769114272 779217984 780200064 782909092 785137486 795451692 795536658 808164224 817183914 818126456 821111424 828962568 831322044 842120704 844517632 855611904 855703296 894753248 897299984 909087648 909184752 910233408 920392263 935001664 947385792 950082336 953381233 967122996 993439268 998213888 998320512 1006597404 1009462482 1011435264 1025485696 1038957312 1039068288 1040266752 1051876872 1056932352 1060602256 1060715544 1085808384 1089578552 1094815232 1105283424 1108429392 1122990624 1153671408 1174363638 1177706229 1193177538 1212116864 1212246336 1213644544 1225775871 1227189684 1231667136 1263181056 1266776448 1283417856 1289497328 1331094016 1342129872 1345949976 1363631472 1365350112 1370090911 1385424384 1402502496 1407619584 1414287392 1431721298 1450684494 1473711232 1477905856 1490158902 1497320832 1497480768 1538228544 1558435968 1560400128 1565818184 1570274972 1590903384 1591073316 1616328448 1634367828 1636252912 1642222848 1657925136 1662644088 1689035264 1711406592 1738518719 1761545457 1789506496 1794599968 1818175296 1818369504 1820466816 1840784526 1870003328 1894771584 1900164672 1906762466 1934245992 1986878536 1996427776 1996641024 2013194808 2018924964 2022870528 2050971392 2077914624 2078136576 2103753744 2121204512 2121431088 2147581947 2171616768 2179157104 2210566848 2216858784 2235238353 2245981248 2307342816 2348727276 2355412458 2386355076 2424233728 2424492672 2427289088 2451551742 2454379368 2463334272 2526362112 2533552896 2566835712 2578994656 2684259744 2691899952 2727262944 2730700224 2740181822 2805004992 2828574784 2860143699 2863442596 2901368988 2947422464 2955811712 2980317804 2994641664 2994961536 3076457088 3116871936 3120800256 3131636368 3140549944 3181806768 3182146632 3232656896 3268735656 3272505824 3284445696 3315850272 3325288176 3477037438 3523090914 3533118687 3579012992 3589199936 3636350592 3636739008 3640933632 3681569052 3740006656 3789543168 3800329344 3813524932 3868491984 3973757072 3993282048 4026389616 4037849928 4101942784 4110272733 4156273152 4207507488 4222116889 4242409024 4242862176 4295163894 4358314208 4421133696 4433717568 4470476706 4491962496 4614685632 4697454552 4710824916 4772710152 4848467456 4848985344 4903103484 4908758736 4926668544 5067105792 5157989312 5215556157 5368519488 5383799904 5454525888 5461400448 5480363644 5610009984 5657149568 5720287398 5726885192 5802737976 5894844928 5911623424 5960635608 5989283328 5989923072 6152914176 6233743872 6263272736 6281099888 6363613536 6364293264 6442745841 6537471312 6545011648 6631700544 6650576352 6673668631 6954074876 7046181828 7066237374 7158025984 7178399872 7272701184 7273478016 7281867264 7363138104 7480013312 7579086336 7600658688 7627049864 7736983968 7947514144 8052779232 8075699856 8220545466 8415014976 8444233778 8484818048 8485724352 8580431097 8590327788 8716628416 8842267392 8867435136 8940953412 8983924992 9229371264 9394909104 9421649832 9545420304 9697970688 9806206968 9817517472 9853337088 10315978624 10431112314 10737038976 10767599808 10909051776 10922800896 10960727288 11220019968 11314299136 11440574796 11453770384 11605475952 11823246848 11921271216 11979846144 12169631033 12305828352 12330818199 12526545472 12562199776 12666350667 12727227072 12728586528 12885491682 13074942624 13090023296 13263401088 13301152704 13347337262 13908149752 14092363656 14132474748 14316051968 14356799744 14545402368 14546956032 14726276208 15201317376 15254099728 15473967936 15646668471 15895028288 16105558464 16151399712 16441090932 16830029952 16888467556 16969636096 16971448704 17160862194 17180655576 17433256832 17684534784 17734870272 17881906824 17967849984 18458742528 18789818208 18843299664 19090840608 19612413936 19635034944 20021005893 20631957248 20862224628 21474077952 21535199616 21818103552 21845601792 21921454576 22440039936 22628598272 22881149592 22907540768 23210951904 23842542432 24339262066 24661636398 25053090944 25124399552 25332701334 25454454144 25457173056 25770983364 26149885248 26180046592 26526802176 26602305408 26694674524 27816299504 28184727312 28264949496 28713599488 29093912064 29452552416 29554818223 30508199456 30947935872 31293336942 31790056576 32211116928 32302799424 32882181864 33660059904 33776935112 33939272192 33942897408 34321724388 34361311152 34866513664 35469740544 35763813648 36508893099 36917485056 37579636416 37686599328 37999052001 38181681216 39224827872 39270069888 40042011786 41263914496 41724449256 42948155904 43070399232 43636207104 43842909152 45762299184 45815081536 46421903808 47685084864 48678524132 49323272796 50106181888 50248799104 50665402668 50908908288 50914346112 51541966728 52299770496 52360093184 53053604352 53204610816 53389349048 55632599008 56369454624 56529898992 58905104832 59109636446 60063017679 61016398912 61895871744 62586673884 63580113152 64422233856 64605598848 65764363728 67320119808 67553870224 67885794816 68643448776 68722622304 69733027328 71527627296 73017786198 75159272832 75373198656 75998104002 76363362432 78449655744 78540139776 80084023572 83448898512 86140798464 87685818304 88664454669 91524598368 91630163072 92843807616 95370169728 97357048264 98646545592 100212363776 100497598208 101330805336 101817816576 101828692224 103083933456 104599540992 106409221632 106778698096 109526679297 111265198016 112738909248 113059797984 117810209664 118219272892 120126035358 122032797824 123791743488 125173347768 127160226304 128844467712 129211197696 131528727456 135107740448 137286897552 137445244608 143055254592 146035572396 150318545664 150746397312 151996208004 152726724864 156899311488 157080279552 160168047144 166897797024 175371636608 177328909338 183049196736 183260326144 185687615232 190740339456 194714096528 197293091184 200995196416 202661610672 203657384448 206167866912 206883727561 209199081984 213557396192 219053358594 222530396032 225477818496 226119595968 235620419328 236438545784 240252070716 244065595648 250346695536 258422395392 263057454912 265993364007 270215480896 274573795104 274890489216 286110509184 292071144792 300637091328 301492794624 303992416008 305453449728 313798622976 320336094288 333795594048 350743273216 354657818676 366098393472 366520652288 371375230464 381480678912 389428193056 394586182368 405323221344 412335733824 413767455122 427114792384 438106717188 445060792064 450955636992 452239191936 471240838656 472877091568 480504141432 488131191296 500693391072 526114909824 531986728014 540430961792 549147590208 549780978432 572221018368 584142289584 602985589248 607984832016 620651182683 627597245952 640672188576 667591188096 701486546432 709315637352 732196786944 778856386112 789172364736 810646442688 824671467648 827534910244 854229584768 876213434376 890121584128 901911273984 904478383872 945754183136 961008282864 1001386782144 1052229819648 1063973456028 1080861923584 1098295180416 1099561956864 1144442036736 1168284579168 1215969664032 1241302365366 1281344377152 1335182376192 1418631274704 1464393573888 1557712772224 1578344729472 1621292885376 1649342935296 1655069820488 1708459169536 1752426868752 1808956767744 1861953548049 1891508366272 1922016565728 2002773564288 2104459639296 2127946912056 2161723847168 2196590360832 2336569158336 2431939328064 2482604730732 2562688754304 2670364752384 2837262549408 3115425544448 3156689458944 3242585770752 3298685870592 3310139640976 3416918339072 3504853737504 3723907096098 3783016732544 3844033131456 4005547128576 4255893824112 4393180721664 4673138316672 4863878656128 4965209461464 5125377508608 5674525098816 6230851088896 6313378917888 6485171541504 6620279281952 7009707475008 7447814192196 7566033465088 7688066262912 8011094257152 8511787648224 9346276633344 9727757312256 9930418922928 10250755017216 11349050197632 13240558563904 14019414950016 14895628384392 15132066930176 15376132525824 17023575296448 18692553266688 19455514624512 19860837845856 22698100395264 26481117127808 28038829900032 29791256768784 30752265051648 34047150592896 39721675691712 45396200790528 52962234255616 56077659800064 59582513537568 68094301185792 79443351383424 105924468511232 119165027075136 136188602371584 158886702766848 238330054150272 317773405533696 476660108300544 953320216601088
- Sum of all divisors σ(n): 3533936016619008
- Sum of proper divisors (its aliquot sum) s(n): 2580615800017920
- 953320216601088 is an abundant number, because the sum of its proper divisors (2580615800017920) is greater than itself. Its abundance is 1627295583416832
Bases of 953320216601088
- Binary: 110110001100001010001010001101111000100010000000002
- Hexadecimal: 0x3630A28DE2200
- Base-36: 9DX99EYRK0
Squares and roots of 953320216601088
- 953320216601088 squared (9533202166010882) is 908819435380345340351322783744
- 953320216601088 cubed (9533202166010883) is 866395940988069318792217572025647278139113472
-
The
square root of 953320216601088 is 30875884.0618546177 -
The
cube root of 953320216601088 is 98419.1479787865
Scales and comparisons
How big is 953320216601088?- 953,320,216,601,088 seconds is equal to 30,312,634 years, 3 weeks, 6 days, 6 hours, 4 minutes, 48 seconds.
-
To count from 1 to 953,320,216,601,088 would take you about seventy-five million, seven hundred eighty-one thousand, five hundred eighty-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 953320216601088 cubic inches would be around 8201.6 feet tall.
Recreational maths with 953320216601088
- 953320216601088 backwards is 880106612023359
- The number of decimal digits it has is: 15
- The sum of 953320216601088's digits is 54
- 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 953320216601088 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 953320216601088 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/953320216601088/
Chicago style:
Numbermatics. 2024. "Number 953320216601088 - Facts about the integer". https://numbermatics.com/n/953320216601088/
The information we have on file for 953320216601088 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 953320216601088, math, Factors of 953320216601088, curriculum, school, college, exams, university, Prime factorization of 953320216601088, STEM, science, technology, engineering, physics, economics, calculator, nine hundred fifty-three trillion, three hundred twenty billion, two hundred sixteen million, six hundred one thousand and eighty-eight.