37979997983928
37,979,997,983,928 is an even composite number composed of seven prime numbers multiplied together.
37979997983928 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 37979997983928:
23 × 32 × 73 × 11 × 13 × 192 × 313
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 13 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 37979997983928 from the Numbermatics database.
Names of 37979997983928
- Cardinal: 37979997983928 can be written as Thirty-seven trillion, nine hundred seventy-nine billion, nine hundred ninety-seven million, nine hundred eighty-three thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 3.7979997983928 × 1013
Factors of 37979997983928
Divisors of 37979997983928
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 19 21 22 24 26 28 31 33 36 38 39 42 44 49 52 56 57 62 63 66 72 76 77 78 84 88 91 93 98 99 104 114 117 124 126 132 133 143 147 152 154 156 168 171 182 186 196 198 209 217 228 231 234 247 248 252 264 266 273 279 286 294 308 312 341 342 343 361 364 372 392 396 399 403 418 429 434 441 456 462 468 494 504 532 539 546 558 572 588 589 616 627 637 651 682 684 686 693 722 728 741 744 792 798 806 819 836 858 868 882 924 931 936 961 988 1001 1023 1029 1064 1078 1083 1092 1116 1144 1176 1178 1197 1209 1254 1274 1287 1302 1364 1368 1372 1386 1444 1463 1482 1519 1596 1612 1617 1638 1672 1716 1729 1736 1764 1767 1848 1862 1881 1911 1922 1953 1976 2002 2046 2058 2156 2166 2184 2223 2232 2356 2387 2394 2418 2508 2527 2548 2574 2604 2717 2728 2744 2772 2793 2821 2883 2888 2926 2964 3003 3038 3069 3087 3192 3224 3234 3249 3276 3432 3458 3528 3534 3627 3724 3762 3773 3822 3844 3906 3971 4004 4092 4116 4123 4312 4332 4389 4433 4446 4459 4557 4693 4712 4774 4788 4836 4851 5016 5054 5096 5148 5187 5208 5301 5434 5544 5586 5642 5733 5766 5852 5928 6006 6076 6138 6174 6468 6479 6498 6517 6552 6727 6916 7007 7068 7161 7254 7448 7524 7546 7581 7644 7657 7688 7812 7942 8008 8151 8184 8232 8246 8379 8463 8649 8664 8778 8866 8892 8918 9009 9114 9386 9548 9576 9672 9702 10108 10241 10296 10374 10571 10602 10633 10868 11172 11191 11284 11319 11466 11532 11704 11913 12012 12103 12152 12276 12348 12369 12493 12936 12958 12996 13034 13167 13299 13377 13454 13671 13832 14014 14079 14136 14322 14508 15048 15092 15162 15288 15314 15561 15624 15884 16302 16492 16709 16758 16926 17298 17556 17689 17732 17784 17836 18018 18228 18259 18772 19019 19096 19404 19437 19551 19747 20181 20216 20482 20748 21021 21142 21204 21266 21483 21736 22344 22382 22568 22638 22743 22932 22971 23064 23826 24024 24206 24453 24552 24696 24738 24986 25389 25916 25992 26068 26334 26598 26754 26908 27342 27797 28028 28158 28644 28861 29016 29791 30184 30324 30628 30723 31031 31122 31713 31768 31899 32604 32851 32984 33418 33516 33573 33852 33957 34596 35112 35378 35464 35672 35739 36036 36309 36456 36518 37107 37479 37544 38038 38808 38874 39102 39494 39897 40131 40362 40964 41496 42042 42237 42284 42408 42532 42966 44764 45276 45353 45486 45864 45942 47089 47652 48412 48906 49049 49476 49972 50127 50778 51623 51832 52136 52668 53067 53196 53508 53599 53816 54684 54777 55594 56056 56316 57057 57288 57722 58311 58653 59241 59582 60543 60648 61256 61446 62062 62244 63063 63426 63798 65208 65702 66836 67032 67146 67704 67914 68913 69192 70756 71478 71687 72072 72618 73036 73997 74214 74958 76076 77748 78204 78337 78988 79794 80262 80724 81928 83391 84084 84227 84474 84568 84721 85064 85932 86583 87451 89373 89528 90552 90706 90972 91884 92169 93093 94178 95139 95304 95697 96824 97812 98098 98553 98952 99944 100254 100719 101556 103246 105336 106134 106392 107016 107198 108927 109368 109554 111188 112437 112632 114114 115444 116622 116963 117306 118482 119164 121086 122892 123101 123823 124124 124488 126126 126852 127596 127813 131404 133133 133672 134292 135828 136059 137423 137826 138229 141267 141512 142956 143374 145236 145483 146072 147147 147994 148428 149916 150381 152152 154869 155496 156408 156674 157976 159201 159588 160524 160797 161448 164331 166782 168168 168454 168948 169442 171171 171864 173166 174902 177723 178746 181412 181944 183768 184338 186186 188356 190278 191394 194579 195624 196196 197106 200508 200849 201438 202027 203112 206492 208537 212268 214396 215061 217217 217854 219108 221991 222376 224874 228228 229957 230888 233244 233926 234612 235011 236964 237367 238328 242172 245784 246202 247646 248248 250173 252252 252681 253704 254163 255192 255626 259749 262353 262808 266266 268119 268584 271656 272118 274846 275652 276458 279279 282534 285912 286748 290472 290966 294294 295659 295988 296856 299832 300762 309738 313348 317471 318402 319176 321048 321594 327701 328662 329623 333564 336908 337896 338884 342342 346332 346921 349804 350889 355446 357492 361361 362824 368676 369303 371469 372372 375193 376712 380556 382788 383439 387283 389158 392392 394212 399399 401016 401698 402876 404054 408177 412269 412984 414687 417074 423801 424536 428792 430122 434434 435708 436449 438216 441441 443982 449748 456456 459914 464607 466488 467852 469224 470022 473928 474734 482391 484344 492404 495292 500346 504504 505362 508326 511252 517979 519498 524706 532532 536238 544236 548359 549692 551304 552916 558558 565068 566029 573496 581932 583737 588588 589589 591318 591976 601524 602547 606081 612157 619476 625611 626696 634942 636804 643188 645183 651651 655402 657324 659246 665973 667128 673816 677768 684684 689871 692664 693842 699608 701778 705033 710892 712101 714984 722722 737352 738606 742938 744744 750386 758043 761112 762489 765576 766878 774566 778316 787059 788424 798798 803396 805752 808108 816354 824538 829374 834148 847602 860244 861707 868868 871416 872898 882882 887964 894691 899496 919828 929214 931931 935704 940044 949468 952413 961961 964782 983103 984808 988869 990584 1000692 1010724 1016652 1018381 1022504 1035958 1038996 1040763 1049412 1052667 1065064 1072476 1084083 1088472 1096718 1099384 1105832 1107909 1114407 1117116 1125579 1130136 1132058 1150317 1161849 1163864 1167474 1177176 1179178 1182636 1198197 1203048 1205094 1212162 1224314 1236807 1238952 1244061 1251222 1269884 1273608 1286376 1290366 1303302 1309347 1310804 1314648 1318492 1331946 1362053 1369368 1379742 1387684 1403556 1405943 1410066 1421784 1424202 1445444 1459759 1477212 1485876 1500772 1516086 1520519 1524978 1533756 1549132 1553937 1556632 1574118 1597596 1600313 1606792 1609699 1616216 1632708 1645077 1649076 1658748 1661569 1668296 1695204 1698087 1720488 1723414 1737736 1745796 1751211 1765764 1768767 1775928 1789382 1807641 1818243 1836471 1839656 1858428 1863862 1876833 1880088 1898936 1904826 1923922 1929564 1954953 1966206 1977738 2001384 2021448 2033304 2036762 2069613 2071916 2077992 2081526 2098824 2105334 2136303 2144952 2168166 2193436 2215818 2222297 2228814 2234232 2251158 2264116 2293907 2300634 2323698 2334948 2358356 2365272 2396394 2410188 2424324 2428447 2448628 2473614 2488122 2502444 2529527 2539768 2580732 2585121 2606604 2611037 2618694 2621608 2626351 2636984 2663892 2684073 2710981 2724106 2759484 2775368 2795793 2807112 2811886 2820132 2848404 2857239 2885883 2890888 2919518 2949309 2954424 2966607 2971752 3001544 3032172 3041038 3049956 3055143 3067512 3098264 3107874 3122289 3148236 3195192 3200626 3219398 3252249 3265416 3290154 3298152 3317496 3323138 3376737 3390408 3396174 3446828 3485547 3491592 3502422 3531528 3537534 3578764 3615282 3625853 3636486 3672942 3716856 3727724 3753666 3809652 3816131 3838513 3847844 3859128 3909906 3932412 3955476 3962203 4073524 4086159 4127123 4139226 4143832 4163052 4210668 4217829 4260113 4272606 4285099 4336332 4379277 4386872 4431636 4444594 4457628 4502316 4509973 4528232 4561557 4587814 4601268 4647396 4661811 4669896 4716712 4792788 4800939 4820376 4829097 4848648 4856894 4897256 4935231 4947228 4976244 4984707 5004888 5059054 5094261 5161464 5170242 5213208 5222074 5237388 5252702 5306301 5327784 5368146 5421962 5448212 5509413 5518968 5591586 5623772 5640264 5696808 5714478 5771766 5839036 5898618 5933214 6031949 6064344 6082076 6099912 6110286 6215748 6226319 6244578 6262837 6296472 6401252 6438796 6504498 6580308 6646276 6666891 6733727 6753474 6792348 6881721 6893656 6971094 7004844 7075068 7128667 7157528 7230564 7251706 7272972 7285341 7345884 7358377 7455448 7507332 7588581 7619304 7632262 7677026 7695688 7755363 7819812 7833111 7864824 7879053 7910952 7924406 8052219 8132943 8147048 8172318 8254246 8278452 8326104 8387379 8421336 8435658 8520226 8545212 8570198 8657649 8672664 8758554 8863272 8889188 8915256 9004632 9019946 9123114 9165429 9175628 9202536 9294792 9323622 9585576 9601878 9658194 9713788 9841601 9870462 9894456 9952488 9969414 10118108 10188522 10218313 10340484 10444148 10474776 10505404 10612602 10736292 10754551 10843924 10877559 10896424 11018826 11183172 11202191 11247544 11428956 11448393 11515539 11543532 11630983 11678072 11797236 11866428 11886609 12063898 12164152 12220572 12258477 12381369 12431496 12452638 12489156 12525674 12653487 12780339 12802504 12855297 12877592 13008996 13137831 13160616 13292552 13333782 13467454 13506948 13529919 13584696 13684671 13763442 13942188 14009688 14150136 14257334 14402817 14461128 14487291 14503412 14545944 14570682 14691768 14716754 14954121 15014664 15177162 15264524 15354052 15510726 15639624 15666222 15758106 15848812 16057349 16104438 16265886 16344636 16508492 16556904 16774758 16871316 16999129 17040452 17090424 17140396 17315298 17517108 17706689 17778376 18039892 18095847 18246228 18277259 18330858 18351256 18647244 18678957 18788511 18976867 19203756 19316388 19427576 19683202 19740924 19938828 20000673 20201181 20236216 20377044 20436626 20645163 20680968 20888296 21010808 21225204 21386001 21472584 21509102 21687848 21755118 21856023 22037652 22075131 22366344 22404382 22765743 22857912 22896786 23031078 23087064 23261966 23499333 23594472 23637159 23732856 23773218 24127796 24398829 24441144 24516954 24762738 24905276 24978312 25051348 25306974 25560678 25710594 26017992 26275662 26667564 26712917 26934908 27013896 27059838 27369342 27526884 27735421 27884376 28514668 28805634 28889861 28974582 29006824 29141364 29433508 29524803 29820791 29908242 30354324 30529048 30654939 30708104 31021452 31332444 31516212 31569811 31697624 32114698 32208876 32263653 32531772 32632677 32689272 33016984 33549516 33606573 33742632 33998258 34080904 34280792 34345179 34546617 34630596 34892949 35034216 35413378 35659827 36079784 36191694 36492456 36554518 36661716 37144107 37294488 37357914 37577022 37953734 38341017 38407512 38565891 38632776 39366404 39481848 39877656 40001346 40402362 40589757 40754088 40873252 41290326 42223643 42450408 42772002 43018204 43510236 43584233 43712046 44075304 44150262 44808764 45531486 45793572 46062156 46523932 46998666 47136089 47274318 47546436 48172047 48255592 48797658 49033908 49525476 49609703 49810552 49900669 50102696 50613948 50997387 51121356 51421188 51508639 52551324 53120067 53335128 53425834 53869816 54119676 54287541 54738684 54831777 55053768 55470842 56036871 56365533 56930601 57029336 57611268 57779722 57949164 58282728 58867016 59049606 59641582 59816484 60603543 60708648 61309878 62042904 62664888 63032424 63139622 64158003 64229396 64417752 64527306 65063544 65265354 66225393 67099032 67213146 67996516 68690358 68891207 69093234 69261192 69785898 70826756 71319654 72383388 73109036 73323432 74288214 74715828 75154044 75281857 75907468 76682034 77131782 78415337 78732808 80002692 80138751 80804724 80942147 81179514 81416881 81746504 82580652 83206263 84447286 85544004 86036408 86669583 87020472 87168466 87424092 88300524 88574409 89462373 89617528 91062972 91587144 91964817 92124312 93047864 93997332 94272178 94548636 94709433 95092872 96344094 96790959 97595316 98067816 99050952 99219406 99801338 100819719 101227896 101994774 102242712 102842376 103017278 104678847 105102648 106240134 106851668 108239352 108575082 109477368 109663554 110941684 112073742 112401443 112731066 113861202 115222536 115559444 115898328 118099212 118300061 118993903 119283164 119632968 121207086 122619756 126279244 126670929 127940813 128316006 128458792 129054612 130530708 130752699 132450786 132838069 134426292 135993032 137380716 137782414 138186468 139571796 139809163 141408267 141653512 142639308 144516141 144766776 146218072 148576428 148829109 149431656 149702007 150308088 150563714 151814936 152992161 153364068 154263564 154525917 156830674 159360201 160005384 160277502 161609448 161884294 162359028 162833762 164495331 165161304 166412526 168894572 170791803 171088008 173339166 174336932 174848184 176601048 177148818 178924746 182125944 183929634 186990419 187994664 188544356 189097272 189418866 192688188 193581918 194147947 195190632 198438812 199602676 201639438 203989548 206034556 206673621 208745537 209357694 212480268 213703336 217150164 219327108 220988677 221883368 224147484 224802886 225462132 225845571 227722404 231118888 235246011 236198424 236600122 237987806 238566328 240416253 242414172 242826441 244250643 245239512 249618789 252558488 253341858 255881626 256632012 258109224 260008749 261061416 261505398 264901572 265676138 268387119 268852584 274761432 275564828 276372936 279143592 279618326 282816534 284128299 285278616 289032282 297152856 297658218 299404014 301127428 305089631 305984322 306728136 308527128 309051834 313661348 318720402 320555004 323768588 324718056 325667524 328990662 332825052 337204329 337789144 341583606 346678332 347267921 348673864 354297636 354900183 356981709 357849492 360560473 367859268 373980838 377088712 378837732 380012787 383822439 385376376 387163836 388295894 392258097 396877624 398514207 399205352 403278876 407979096 412069112 413347242 417491074 418715388 419427489 424224801 424960536 434300328 438654216 441977354 446487327 448294968 449106021 449605772 450924264 451691142 455444808 463577751 470492022 473200244 475975612 480832506 484828344 485652882 488501286 499237578 506683716 511763252 513264024 520017498 523010796 526972999 529803144 531352276 536774238 548907359 551129656 559236652 560971257 565633068 566595029 568256598 578064564 582443841 595316436 598808028 602254856 610179262 611968644 618103668 620020863 626236611 627322696 637440804 641110008 647537176 651335048 657981324 662966031 665650104 674408658 677536713 683167212 693356664 694535842 705738033 708595272 709800366 713963418 715698984 721120946 728479323 732751929 735718536 747961676 757675464 760025574 767644878 774327672 776591788 784516194 797028414 806557752 826694484 828100427 834982148 837430776 838854978 848449602 883954708 892974654 895585691 898212042 899211544 903382284 915268893 927155502 940984044 946400488 951951224 961665012 971305764 977002572 978664141 998475156 1011612987 1013367432 1023526504 1040034996 1041803763 1046021592 1053945998 1062704552 1064700549 1070945127 1073548476 1081681419 1097814718 1118473304 1121942514 1131266136 1133190058 1136513196 1151467317 1156129128 1164887682 1190632872 1195542621 1197616056 1220358524 1223937288 1236207336 1240041726 1252473222 1258282467 1274881608 1308932933 1315962648 1325932062 1348817316 1355073426 1366334424 1389071684 1411476066 1419600732 1427926836 1442241892 1456958646 1461218759 1465503858 1495923352 1520051148 1535289756 1537900793 1546920739 1553183576 1569032388 1580918997 1594056828 1646722077 1653388968 1656200854 1669964296 1677709956 1682913771 1696899204 1699785087 1747331523 1767909416 1785949308 1791171382 1796424084 1806764568 1830537786 1854311004 1878709833 1881968088 1923330024 1942611528 1954005144 1957328282 1988898093 1996950312 2023225974 2080069992 2083607526 2107891996 2129401098 2135627417 2141890254 2147096952 2163362838 2195629436 2243885028 2266380116 2273026392 2302934634 2329775364 2391085242 2430875447 2440717048 2480083452 2484301281 2504946444 2516564934 2523923311 2617865866 2651864124 2686757073 2697634632 2710146852 2745806679 2778143368 2822952132 2839201464 2855853672 2884483784 2913917292 2922437518 2931007716 2935992423 3040102296 3070579512 3075801586 3093841478 3125411289 3138064776 3161837994 3188113656 3245044257 3293444154 3312401708 3355419912 3365827542 3393798408 3399570174 3494663046 3571898616 3582342764 3592848168 3661075572 3688810993 3708622008 3757419666 3914656564 3926798799 3966165203 3977796186 4046451948 4167215052 4215783992 4258802196 4271254834 4283780508 4326725676 4383656277 4391258872 4487770056 4532760232 4605869268 4613702379 4640762217 4659550728 4742756991 4782170484 4861750894 4940166231 4960166904 4968602562 5009892888 5033129868 5047846622 5099355261 5235731732 5303728248 5373514146 5420293704 5491613358 5645904264 5796702989 5827834584 5844875036 5862015432 5871984846 6151603172 6187682956 6250822578 6323675988 6406882251 6490088514 6586888308 6624803416 6731655084 6799140348 6850648987 6989326092 7164685528 7292626341 7322151144 7377621986 7452903843 7514839332 7571769933 7829313128 7853597598 7932330406 7955592372 8060271219 8092903896 8334430104 8517604392 8542509668 8567561016 8653451352 8767312554 8807977269 9211738536 9227404758 9281524434 9485513982 9564340968 9723501788 9880332462 9937205124 10066259736 10095693244 10198710522 10471463464 10747028292 10765305551 10983226716 11066432979 11593405978 11689750072 11743969692 11780396397 11898495609 12303206344 12375365912 12501645156 12647351976 12813764502 12980177028 13150968831 13173776616 13463310168 13598280696 13701297974 13841107137 13922286651 13978652184 14585252682 14755243972 14905807686 15029678664 15143539866 15707195196 15864660812 15911184744 16120542438 17016128129 17085019336 17390108967 17534625108 17615954538 18454809516 18563048868 18971027964 19220646753 19447003576 19760664924 19874410248 20191386488 20397421044 20551946961 21494056584 21530611102 21877879023 21966453432 22132865958 22715309799 23186811956 23487939384 23560792794 23796991218 25003290312 25627529004 25960354056 26301937662 27402595948 27682214274 27763156421 27844573302 29170505364 29510487944 29811615372 30287079732 31414390392 31729321624 32241084876 32295916653 33199298937 34032256258 34780217934 35069250216 35231909076 35695486827 36909619032 37126097736 37942055928 38441293506 39521329848 40576920923 40794842088 41103893922 43061222204 43755758046 44265731916 45430619598 46373623912 47121585588 47593982436 47954542909 51048384387 51255058008 52170326901 52603875324 54805191896 55364428548 55526312842 55689146604 58341010728 59623230744 60574159464 61655840883 64482169752 64591833306 66398597874 68064512516 69560435868 70463818152 71390973654 75357138857 76882587012 81153841846 82207787844 83289469263 86122444408 87511516092 88531463832 90861239196 94243171176 95187964872 95909085818 96887749959 102096768774 104340653802 105207750648 110728857096 111052625684 111378293208 121730762769 123311681766 129183666612 132797195748 136129025032 139120871736 142781947308 143863628727 150714277714 153145153161 153765174024 162307683692 164415575688 166578938526 175023032184 181722478392 191818171636 193775499918 204193537548 208681307604 222105251368 226071416571 243461525538 246623363532 249868407789 258367333224 265594391496 285563894616 287727257454 301428555428 306290306322 324615367384 333157877052 365192288307 383636343272 387550999836 408387075096 417362615208 431590886181 452142833142 486923051076 493246727064 499736815578 527499971999 575454514908 602857110856 612580612644 666315754104 678214249713 730384576614 775101999672 863181772362 904285666284 973846102152 999473631156 1054999943998 1150909029816 1225161225288 1356428499426 1460769153228 1582499915997 1726363544724 1808571332568 1998947262312 2109999887996 2712856998852 2921538306456 3164999831994 3452727089448 4219999775992 4747499747991 5425713997704 6329999663988 9494999495982 12659999327976 18989998991964 37979997983928
- Sum of all divisors σ(n): 153692937216000
- Sum of proper divisors (its aliquot sum) s(n): 115712939232072
- 37979997983928 is an abundant number, because the sum of its proper divisors (115712939232072) is greater than itself. Its abundance is 77732941248144
Bases of 37979997983928
- Binary: 10001010001010111010000100100111010100101110002
- Hexadecimal: 0x228AE849D4B8
- Base-36: DGNRQ6NY0
Squares and roots of 37979997983928
- 37979997983928 squared (379799979839282) is 1442480246859174944546309184
- 37979997983928 cubed (379799979839283) is 54785396867567428147998274006953350794752
-
The
square root of 37979997983928 is 6162791.4116841567 -
The
cube root of 37979997983928 is 33613.8542356777
Scales and comparisons
How big is 37979997983928?- 37,979,997,983,928 seconds is equal to 1,207,646 years, 23 weeks, 4 days, 23 hours, 58 minutes, 48 seconds.
-
To count from 1 to 37,979,997,983,928 would take you about three million, nineteen thousand, one hundred sixteen 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 37979997983928 cubic inches would be around 2801.2 feet tall.
Recreational maths with 37979997983928
- 37979997983928 backwards is 82938979997973
- 37979997983928 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 37979997983928's digits is 99
- 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 37979997983928 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 37979997983928 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/37979997983928/
Chicago style:
Numbermatics. 2024. "Number 37979997983928 - Facts about the integer". https://numbermatics.com/n/37979997983928/
The information we have on file for 37979997983928 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 37979997983928, math, Factors of 37979997983928, curriculum, school, college, exams, university, Prime factorization of 37979997983928, STEM, science, technology, engineering, physics, economics, calculator, thirty-seven trillion, nine hundred seventy-nine billion, nine hundred ninety-seven million, nine hundred eighty-three thousand, nine hundred twenty-eight.