1054082925016368
1,054,082,925,016,368 is an even composite number composed of eight prime numbers multiplied together.
1054082925016368 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 1054082925016368:
24 × 3 × 13 × 19 × 232 × 312 × 47 × 612
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 23 × 23 × 31 × 31 × 47 × 61 × 61)See below for interesting mathematical facts about the number 1054082925016368 from the Numbermatics database.
Names of 1054082925016368
- Cardinal: 1054082925016368 can be written as One quadrillion, fifty-four trillion, eighty-two billion, nine hundred twenty-five million, sixteen thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.054082925016368 × 1015
Factors of 1054082925016368
Divisors of 1054082925016368
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 23 24 26 31 38 39 46 47 48 52 57 61 62 69 76 78 92 93 94 104 114 122 124 138 141 152 156 183 184 186 188 208 228 244 247 248 276 282 299 304 312 366 368 372 376 403 437 456 488 494 496 529 552 564 589 598 611 624 713 732 741 744 752 793 806 874 893 897 912 961 976 988 1058 1081 1104 1128 1159 1178 1196 1209 1222 1311 1403 1426 1457 1464 1482 1488 1586 1587 1612 1748 1767 1786 1794 1833 1891 1922 1976 2116 2139 2162 2256 2318 2356 2379 2392 2418 2444 2622 2679 2806 2852 2867 2883 2914 2928 2964 3172 3174 3224 3243 3477 3496 3534 3572 3588 3666 3721 3782 3844 3952 4209 4232 4278 4324 4371 4636 4712 4758 4784 4836 4888 5244 5358 5612 5673 5681 5704 5734 5766 5828 5928 6344 6348 6448 6486 6877 6954 6992 7068 7144 7176 7332 7442 7564 7657 7688 8418 8464 8556 8601 8648 8742 9269 9272 9424 9516 9672 9776 10051 10488 10716 11163 11224 11346 11362 11408 11468 11532 11609 11656 11856 12493 12688 12696 12972 13547 13754 13908 14053 14136 14288 14352 14664 14884 15067 15128 15314 15376 16399 16836 17043 17112 17202 17296 17484 18239 18259 18538 18544 18941 19032 19344 20102 20539 20631 20976 21432 22103 22326 22448 22692 22724 22936 22971 23064 23218 23312 24583 24863 24986 25392 25944 26657 27094 27508 27683 27807 27816 28106 28272 29328 29768 30134 30153 30256 30628 32269 32798 33511 33672 34086 34224 34404 34827 34968 35929 36478 36518 37076 37271 37479 37882 38064 40204 40641 41078 41262 42159 42864 43493 44206 44652 45167 45201 45384 45448 45872 45942 46128 46436 48373 49166 49197 49726 49972 51888 53314 54188 54473 54717 54777 55016 55366 55614 55632 56212 56823 58621 59536 60268 60306 61256 61617 64538 65596 65941 66309 67022 67344 68172 68808 69654 69936 70699 71858 72956 73036 73749 74152 74542 74589 74958 75764 79971 80408 81282 82156 82524 83049 84318 85583 86986 88412 88877 89304 90334 90402 90768 90896 91884 92872 96746 96807 98332 98394 99452 99944 100533 106628 107787 108376 108946 109434 109554 110032 110732 111228 111813 112424 113646 115351 117242 120536 120612 122512 123234 129076 130479 130663 131192 131882 132618 134044 135501 136344 137616 139308 141398 143716 145119 145912 146072 147498 148304 149084 149178 149916 151528 159942 160816 162564 163419 164312 165048 166098 168636 171166 173972 174887 175863 176111 176824 177754 178608 180668 180804 183768 185744 193492 193614 196664 196788 197823 198904 199888 201066 212097 213187 213256 215574 216752 217892 218868 219108 221464 222456 223626 224848 227292 230702 234484 237367 241072 241224 246468 256749 258152 260958 261326 262384 263764 265236 266631 267007 268088 271002 272688 278616 282796 287339 287432 290238 291824 292144 294996 298168 298356 299832 303056 311581 319884 323219 325128 326838 328624 330096 332196 337272 342332 346053 346541 347944 349774 351726 352222 353648 355508 359879 361336 361608 367536 386984 387228 391989 393328 393576 395646 397808 402132 419497 419957 424194 426374 426512 431148 435643 435784 437736 438216 442928 444912 447252 454584 461404 467077 468968 472397 474734 482448 492936 508369 513498 516304 521916 522652 524661 527528 528333 530472 533262 534014 536176 542004 557232 565409 565592 574678 574864 580476 587171 589992 596336 596712 599664 613111 623162 636709 639561 639768 646438 650256 653676 664392 674544 684664 692106 693082 695888 699548 703452 704444 708149 711016 712101 719758 722672 723216 762073 770753 773968 774456 783978 787152 791292 801021 804264 826367 838994 839914 848388 852748 857233 858173 862017 862296 871286 871568 875472 876432 894504 909168 919087 922808 934154 934743 937936 944794 949468 969657 985872 1000339 1016738 1026996 1038841 1039623 1043832 1045304 1049322 1055056 1056666 1060944 1066524 1068028 1079637 1084008 1112579 1113799 1130818 1131184 1149356 1155401 1160952 1174342 1179984 1193424 1226222 1246324 1252879 1258491 1259871 1273418 1279122 1279536 1292876 1306929 1307352 1328784 1348283 1369328 1384212 1386164 1399096 1401231 1406904 1408888 1416298 1417191 1422032 1424202 1439516 1499563 1516643 1524146 1525107 1541506 1548912 1567956 1582584 1602042 1608528 1626077 1652734 1677988 1679828 1688663 1696227 1696776 1705496 1714466 1716346 1724034 1724592 1742572 1761513 1789008 1838174 1839333 1845616 1868308 1869486 1889588 1898936 1910127 1939314 1968409 2000678 2033476 2044171 2053992 2077682 2079246 2087664 2090608 2098644 2113332 2124447 2133048 2136056 2159274 2168016 2191669 2225158 2227598 2261636 2273531 2286219 2298712 2310802 2312259 2321904 2348684 2452444 2479101 2492648 2505758 2516982 2519742 2546836 2558244 2571699 2574519 2585752 2613858 2614704 2653073 2696566 2755187 2757261 2768424 2772328 2798192 2802462 2813808 2817776 2832596 2834382 2848404 2879032 2999126 3001017 3033286 3048292 3050214 3083012 3116523 3135912 3165168 3204084 3252154 3305468 3322853 3337737 3341397 3355976 3359656 3377326 3392454 3393552 3410992 3428932 3432692 3448068 3466203 3485144 3523026 3575881 3676348 3678666 3736616 3738972 3758637 3779176 3797872 3820254 3878628 3936818 4001356 4022401 4044849 4050553 4066952 4088342 4107984 4155364 4158492 4197288 4226664 4248894 4266096 4272112 4318548 4383338 4450316 4455196 4498689 4523272 4547062 4549929 4572438 4597424 4621604 4624518 4697368 4878231 4904888 4958202 4985296 5011516 5033964 5039484 5065989 5093672 5116488 5143398 5149038 5171504 5227716 5306146 5393132 5421497 5459441 5510374 5514522 5536848 5544656 5604924 5665192 5668764 5696808 5758064 5905227 5998252 6002034 6066572 6096584 6100428 6132513 6141161 6166024 6233046 6271824 6408168 6504308 6575007 6608797 6610936 6645706 6675474 6682794 6711952 6719312 6754652 6784908 6820593 6857864 6865384 6896136 6932406 6970288 7046052 7151762 7352696 7357332 7473232 7477944 7517274 7558352 7640508 7757256 7873636 7959219 7970443 8002712 8044802 8089698 8101106 8133904 8176684 8265561 8277217 8310728 8316984 8394576 8453328 8497788 8637096 8766676 8900632 8910392 8997378 9046544 9094124 9099858 9144876 9243208 9249036 9394736 9659011 9756462 9809776 9916404 9968559 10019789 10023032 10067928 10078968 10131978 10187344 10232976 10286796 10298076 10455432 10612292 10727643 10742771 10786264 10842994 10918882 11020748 11029044 11156249 11209848 11330384 11337528 11393616 11810454 11996504 12004068 12067203 12133144 12151659 12193168 12200856 12265026 12282322 12332048 12466092 12816336 13004407 13008616 13150014 13217594 13221872 13291412 13350948 13365588 13504933 13509304 13569816 13641186 13715728 13730768 13792272 13864812 14092104 14303524 14479387 14644307 14705392 14714664 14955888 15034548 15281016 15514512 15747272 15918438 15940886 16005424 16089604 16179396 16202212 16264491 16287427 16353368 16378323 16531122 16554434 16621456 16633968 16995576 17274192 17527679 17533352 17801264 17820784 17994756 18188248 18199716 18289752 18423483 18486416 18498072 19006441 19318022 19512924 19716359 19737979 19826391 19832808 19937118 20039578 20046064 20135856 20157936 20263956 20573592 20596152 20910864 21139001 21224584 21455286 21485542 21572528 21685988 21837764 21952619 22041496 22058088 22312498 22419696 22675056 23620908 23893343 23911329 23993008 24008136 24134406 24266288 24303318 24401712 24530052 24564644 24831651 24932184 25589317 25617377 26008814 26017232 26300028 26435188 26574223 26582824 26701896 26731176 27009866 27018608 27139632 27282372 27729624 28184208 28491697 28607048 28816217 28958774 28977033 29288614 29429328 30059367 30069096 30562032 31010509 31494544 31836876 31881772 32179208 32228313 32358792 32404424 32528982 32574854 32706736 32756646 33062244 33108868 33468747 33991152 34489949 35055358 35066704 35817431 35989512 36376496 36399432 36579504 36846966 36996144 37399771 38012882 38636044 38839249 39013221 39025848 39432718 39475958 39652782 39665616 39874236 40079156 40514799 40527912 41147184 41192304 42278002 42449168 42910572 42971084 43197089 43371976 43438161 43675528 43905238 43932921 44082992 44116176 44624996 46486453 47015933 47241816 47786686 47822658 48016272 48268812 48606636 48862281 49060104 49129288 49663302 49864368 50408387 51178634 51234754 52017628 52291213 52348553 52583037 52600056 52870376 53148446 53165648 53403792 53462352 54019732 54564744 55459248 56983394 57019323 57214096 57632434 57917548 57954066 58577228 59149077 59213937 60118734 60138192 61020679 62021018 63369301 63417003 63673752 63763544 64358416 64456626 64717584 64808848 65057964 65149708 65513292 65857857 66124488 66217736 66937494 67941739 68979898 70110716 70479461 71634862 71680029 71979024 72798864 73693932 74799542 76025764 76425619 76767951 76852131 77272088 77678498 78026442 78051696 78865436 78951916 79305564 79722669 79748472 80158312 81029598 81055824 82245263 84556004 85475091 85821144 85942168 86394178 86448651 86743952 86876322 87351056 87810476 87865842 89249992 92515223 92972906 93031527 94031866 94483632 95573372 95645316 96537624 97213272 97724562 98120208 98258576 99326604 100816774 102357268 102469508 103008443 103469847 104035256 104582426 104697106 105166074 105200112 105740752 106296892 107452293 108039464 109129488 112199313 113966788 114038646 115264868 115835096 115908132 116517747 117154456 118298154 118427874 120237468 122041358 124042036 124694431 125567143 126738602 126834006 127347504 127527088 128913252 129591267 130115928 130299416 131026584 131715714 132248976 132435472 133874988 135883478 137959796 139459359 140221432 140958922 141047799 143269724 143360058 147387864 149599084 151225161 152051528 152851238 153535902 153704262 154544176 155356996 156052884 156873639 157045659 157730872 157903832 158611128 159445338 159496944 160316624 162059196 164490526 168066407 169112008 170950182 171642288 171884336 172788356 172897302 173752644 175620952 175731684 178499984 183062037 185030446 185945812 186063054 188063732 190107903 190375991 191146744 191290632 193075248 194426544 195449124 198653208 201633548 203825217 204714536 204939016 206016886 206939694 208070512 209164852 209394212 210332148 211438383 212593784 214904586 216078928 224398626 227933576 228077292 229276857 230529736 231670192 231816264 233035494 234308912 236596308 236855748 240474936 244082716 246735789 247083733 248084072 249388862 251134286 253477204 253668012 256593727 257826504 259182534 260231856 260598832 262053168 263431428 267749976 271766956 275919592 277545669 278918718 280442864 281917844 282095598 286539448 286720116 294775728 299198168 302450322 304103056 305702476 307071804 307408524 309025329 310613459 310713992 312105768 313747278 314091318 315461744 315807664 317222256 318890676 324118392 328981052 333025901 336132814 338224016 341900364 345576712 345794604 347505288 351241904 351463368 366124074 370060892 371891624 372126108 374083293 374610821 376127464 376701429 380215806 380751982 382293488 382581264 390898248 397306416 403136617 403267096 407650434 409429072 409878032 412033772 413879388 418329704 418788424 420664296 422876766 425187568 429809172 448797252 453973517 455867152 456154584 458553714 461059472 463632528 466070988 473192616 473711496 480949872 486197023 488165432 493471578 494167466 496168144 498777724 502268572 504199221 504910237 506954408 507336024 513187454 515653008 518365068 526862856 535499952 543533912 551839184 555091338 557837436 563835688 564191196 571127973 573078896 573440232 589199671 598396336 604900644 611207129 611404952 614143608 614817048 618050658 621226918 621427984 624211536 627494556 628182636 637781352 648236784 655309031 657962104 666051802 672265628 680531189 683800728 691153424 691589208 695010576 702926736 732248148 740121784 741251199 743783248 744252216 748166586 749221642 752254928 753402858 760431612 761503964 769781181 781796496 793268827 806273234 806534192 815300868 823800913 824067544 827758776 836659408 837576848 841328592 845753532 859618344 883242607 893302727 897594504 907947034 912309168 917107428 931840377 932141976 946385232 947422992 972394046 976330864 986943156 988334932 993533047 997555448 999077703 1004537144 1008398442 1009820474 1013908816 1014672048 1026374908 1036730136 1053725712 1069188419 1087067824 1110182676 1115674872 1123832463 1127671376 1128382392 1142255946 1146880464 1159392901 1178399342 1202697899 1204016719 1209409851 1209801288 1222414258 1222809904 1228287216 1229634096 1236101316 1242453836 1254989112 1256365272 1275562704 1310618062 1315924208 1332103604 1339109759 1344531256 1361062378 1361920551 1367601456 1383178416 1457493923 1458591069 1464496296 1480243568 1482502398 1488504432 1496333172 1498443284 1506805716 1514730711 1520863224 1523007928 1539562362 1562659997 1586537654 1612546468 1621027603 1630601736 1647601826 1648135088 1655517552 1691507064 1719236688 1757789237 1766485214 1767599013 1786605454 1795189008 1815894068 1833621387 1834214856 1863680754 1864283952 1891641049 1944788092 1965927093 1973886312 1976669864 1987066094 1995110896 1998155406 2009074288 2016796884 2019640948 2041593567 2052749816 2073460272 2138376838 2184863291 2220365352 2231349744 2247664926 2256764784 2284511892 2318785802 2356798684 2369194189 2379806481 2405395798 2408033438 2418819702 2419602576 2444828516 2471402739 2472202632 2484907672 2509978224 2512730544 2621236124 2649727821 2664207208 2678219518 2679908181 2689062512 2722124756 2723841102 2867971913 2914987846 2917182138 2928992592 2965004796 2980599141 2992666344 2996886568 3013611432 3029461422 3041726448 3046015856 3079124724 3125319994 3173075308 3193261733 3207565257 3225092936 3242055206 3261203472 3295203652 3383014128 3478178703 3515578474 3532970428 3535198026 3573210908 3608093697 3612050157 3631788136 3667242774 3668429712 3727361508 3783282098 3865527361 3889576184 3931854186 3947772624 3953339728 3974132188 3996310812 4017329277 4033593768 4039281896 4083187134 4105499632 4276753676 4369726582 4372481769 4440730704 4495329852 4569023784 4637571604 4687979991 4713597368 4738388378 4759612962 4810791596 4816066876 4837639404 4863082809 4889657032 4942805478 4944405264 4969815344 5242472248 5273367711 5299455642 5328414416 5356439036 5359816362 5444249512 5447682204 5674923147 5735943826 5829975692 5834364276 5901655721 5930009592 5961198282 5985332688 5993773136 6027222864 6058922844 6158249448 6250639988 6346150616 6386523466 6415130514 6450185872 6484110412 6554589873 6590407304 6956357406 7031156948 7065940856 7070396052 7107582567 7146421816 7216187394 7224100314 7263576272 7334485548 7454723016 7566564196 7659595723 7731054722 7779152368 7863708372 7948264376 7992621624 8034658554 8067187536 8078563792 8166374268 8553507352 8603915739 8739453164 8744963538 8990659704 9138047568 9275143208 9375959982 9427194736 9476776756 9519225924 9579785199 9621583192 9632133752 9675278808 9726165618 9779314064 9885610956 10484944496 10546735422 10598911284 10712878072 10719632724 10888499024 10895364408 11349846294 11471887652 11596582083 11612935451 11659951384 11668728552 11803311442 11860019184 11922396564 12117845688 12316498896 12501279976 12692301232 12773046932 12830261028 12968220824 13109179746 13180814608 13912714812 14062313896 14131881712 14140792104 14215165134 14292843632 14432374788 14448200628 14668971096 14909446032 15072107713 15133128392 15319191446 15462109444 15652217347 15727416744 15896528752 15985243248 16069317108 16332748536 17107014704 17207831478 17478906328 17489927076 17704967163 17981319408 18550286416 18751919964 18947420999 18953553512 19038451848 19159570398 19243166384 19264267504 19350557616 19452331236 19771221912 20314579961 21093470844 21197822568 21425756144 21439265448 21790728816 22699692588 22851260081 22943775304 22978787169 23193164166 23225870902 23319902768 23337457104 23606622884 23844793128 24235691376 24591333637 25002559952 25546093864 25660522056 25936441648 26218359492 27692384537 27825429624 28124627792 28281584208 28430330268 28864749576 28896401256 29337942192 30144215426 30266256784 30638382892 30799524457 30924218888 31304434694 31454833488 32138634216 32665497072 34415662956 34838806353 34957812656 34979854152 35409934326 35941179931 37283634869 37503839928 37894841998 37907107024 38076903696 38319140796 38904662472 39542443824 40629159922 41512402529 42186941688 42395645136 42878530896 45216323139 45399385176 45702520162 45887550608 45957574338 46386328332 46451741804 46956652041 47213245768 47689586256 49182667274 50251855693 51092187728 51321044112 52436718984 54491466347 55384769074 55650859248 56842262997 56860660536 57729499152 57792802512 60288430852 60943739883 61276765784 61599048914 61848437776 62608869388 64277268432 68553780243 68831325912 69677612706 69959708304 70819868652 71882359862 73445019859 73774000911 74567269738 75007679856 75789683996 76638281592 77809324944 81258319844 83024805058 83077153611 84373883376 88907129303 90432646278 90798770352 91405040324 91915148676 92398573371 92772656664 92903483608 93913304082 94426491536 98365334548 100503711386 104873437968 107823539793 108982932694 110769538148 111850904607 113684525994 113721321072 120576861704 121887479766 122553531568 123198097828 124537207587 125217738776 137107560486 137662651824 139355225412 141639737304 143764719724 146890039718 147548001822 149134539476 150755567079 151579367992 153276563184 162516639688 163474399041 166049610116 166154307222 177814258606 180865292556 182810080648 183830297352 184797146742 185545313328 185806967216 187826608164 196730669096 201007422772 215647079586 217965865388 220335059577 221539076296 223701809214 227369051988 241153723408 243774959532 246396195656 249074415174 250435477552 266721387909 274215120972 278710450824 283279474608 287529439448 293780079436 295096003644 298269078952 301511134158 303158735984 325033279376 326948798082 332099220232 332308614444 355628517212 360000998981 361730585112 365620161296 367660594704 369594293484 375653216328 393461338192 402014845544 431294159172 435931730776 440670119154 443078152592 447403618428 454738103976 467235339103 487549919064 492792391312 498148830348 533442775818 548430241944 557420901648 575058878896 587560158872 590192007288 596538157904 603022268316 653897596164 664198440464 664617228888 708389062511 711257034424 720001997962 723461170224 739188586968 751306432656 804029691088 862588318344 871863461552 881340238308 894807236856 909476207952 934470678206 954785258167 975099838128 996297660696 1066885551636 1080002996943 1096860483888 1155792680939 1175120317744 1180384014576 1206044536632 1307795192328 1329234457776 1401706017309 1416778125022 1422514068848 1440003995924 1478377173936 1689235456757 1725176636688 1762680476616 1789614473712 1868941356412 1909570516334 1992595321392 2125167187533 2133771103272 2160005993886 2311585361878 2412089073264 2615590384656 2803412034618 2833556250044 2864355774501 2880007991848 3378470913514 3467378042817 3525360953232 3737882712824 3819141032668 4250334375066 4267542206544 4320011987772 4623170723756 5067706370271 5606824069236 5667112500088 5728711549002 5760015983696 6756941827028 6934756085634 7475765425648 7638282065336 8500668750132 8640023975544 9246341447512 10135412740542 11213648138472 11334225000176 11457423098004 13513883654056 13869512171268 15276564130672 17001337500264 17280047951088 18492682895024 20270825481084 21960060937841 22427296276944 22914846196008 27027767308112 27739024342536 34002675000528 40541650962168 43920121875682 45829692392016 55478048685072 65880182813523 81083301924336 87840243751364 131760365627046 175680487502728 263520731254092 351360975005456 527041462508184 1054082925016368
- Sum of all divisors σ(n): 3462036760465920
- Sum of proper divisors (its aliquot sum) s(n): 2407953835449552
- 1054082925016368 is an abundant number, because the sum of its proper divisors (2407953835449552) is greater than itself. Its abundance is 1353870910433184
Bases of 1054082925016368
- Binary: 111011111010101110110011100100111100110101001100002
- Hexadecimal: 0x3BEAECE4F3530
- Base-36: ADN30DXUEO
Squares and roots of 1054082925016368
- 1054082925016368 squared (10540829250163682) is 1111090812811062083633067911424
- 1054082925016368 cubed (10540829250163683) is 1171181853926698127896630314982356890774188032
-
The
square root of 1054082925016368 is 32466643.2668418617 -
The
cube root of 1054082925016368 is 101771.2071982595
Scales and comparisons
How big is 1054082925016368?- 1,054,082,925,016,368 seconds is equal to 33,516,576 years, 27 weeks, 1 day, 8 hours, 32 minutes, 48 seconds.
-
To count from 1 to 1,054,082,925,016,368 would take you about one hundred million, five hundred forty-nine thousand, seven hundred twenty-nine 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 1054082925016368 cubic inches would be around 8480.9 feet tall.
Recreational maths with 1054082925016368
- 1054082925016368 backwards is 8636105292804501
- The number of decimal digits it has is: 16
- The sum of 1054082925016368's digits is 60
- 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 1054082925016368 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 1054082925016368 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/1054082925016368/
Chicago style:
Numbermatics. 2024. "Number 1054082925016368 - Facts about the integer". https://numbermatics.com/n/1054082925016368/
The information we have on file for 1054082925016368 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 1054082925016368, math, Factors of 1054082925016368, curriculum, school, college, exams, university, Prime factorization of 1054082925016368, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, fifty-four trillion, eighty-two billion, nine hundred twenty-five million, sixteen thousand, three hundred sixty-eight.