3986742219264
3,986,742,219,264 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3986742219264 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
3986742219264 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 3986742219264:
29 × 34 × 7 × 172 × 19 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 17 × 19 × 41 × 61)See below for interesting mathematical facts about the number 3986742219264 from the Numbermatics database.
Names of 3986742219264
- Cardinal: 3986742219264 can be written as Three trillion, nine hundred eighty-six billion, seven hundred forty-two million, two hundred nineteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.986742219264 × 1012
Factors of 3986742219264
Divisors of 3986742219264
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 41 42 48 51 54 56 57 61 63 64 68 72 76 81 82 84 96 102 108 112 114 119 122 123 126 128 133 136 144 152 153 162 164 168 171 183 189 192 204 216 224 228 238 244 246 252 256 266 272 287 288 289 304 306 323 324 328 336 342 357 366 369 378 384 399 408 427 432 448 456 459 476 488 492 504 512 513 532 544 549 567 574 576 578 608 612 646 648 656 672 684 697 714 732 738 756 768 779 798 816 854 861 864 867 896 912 918 952 969 976 984 1008 1026 1037 1064 1071 1088 1098 1107 1134 1148 1152 1156 1159 1197 1216 1224 1281 1292 1296 1312 1344 1368 1377 1394 1428 1464 1476 1512 1536 1539 1558 1596 1632 1647 1708 1722 1728 1734 1792 1824 1836 1904 1938 1952 1968 2016 2023 2052 2074 2091 2128 2142 2176 2196 2214 2261 2268 2296 2304 2312 2318 2337 2394 2432 2448 2501 2562 2583 2584 2592 2601 2624 2688 2736 2754 2788 2856 2907 2928 2952 3024 3078 3111 3116 3192 3213 3264 3294 3321 3416 3444 3456 3468 3477 3584 3591 3648 3672 3808 3843 3876 3904 3936 4032 4046 4104 4148 4182 4256 4284 4352 4392 4428 4522 4536 4592 4608 4624 4636 4674 4788 4864 4879 4896 4941 5002 5124 5166 5168 5184 5202 5248 5376 5453 5472 5491 5508 5576 5712 5814 5856 5904 6048 6069 6156 6222 6232 6273 6384 6426 6528 6588 6642 6783 6832 6888 6912 6936 6954 7011 7182 7259 7296 7344 7503 7616 7686 7749 7752 7803 7808 7872 8064 8092 8113 8208 8296 8364 8512 8568 8704 8721 8784 8856 9044 9072 9184 9248 9272 9333 9348 9576 9639 9728 9758 9792 9882 10004 10248 10332 10336 10368 10404 10431 10496 10752 10773 10906 10944 10982 11016 11152 11424 11529 11628 11712 11808 11849 12096 12138 12312 12444 12464 12546 12768 12852 13056 13176 13243 13284 13566 13664 13776 13824 13872 13908 14022 14364 14518 14592 14637 14688 15006 15232 15372 15498 15504 15606 15616 15744 16128 16184 16226 16359 16416 16473 16592 16728 17024 17136 17442 17507 17568 17629 17712 18088 18144 18207 18368 18496 18544 18666 18696 18819 19152 19278 19516 19584 19703 19764 20008 20349 20496 20664 20672 20736 20808 20862 20992 21033 21546 21777 21812 21888 21964 22032 22304 22509 22848 23058 23247 23256 23409 23424 23616 23698 24192 24276 24339 24624 24888 24928 25092 25536 25704 26112 26163 26352 26486 26568 27132 27328 27552 27744 27816 27999 28044 28728 29036 29184 29274 29376 30012 30464 30744 30996 31008 31212 31232 31293 31488 32256 32368 32452 32718 32832 32946 33184 33456 34048 34272 34587 34884 35014 35136 35258 35424 35547 36176 36288 36414 36736 36992 37088 37332 37392 37638 38304 38437 38556 39032 39168 39406 39528 39729 40016 40698 40992 41328 41344 41472 41616 41724 42066 42517 43092 43554 43624 43776 43911 43928 44064 44608 45018 45696 46116 46494 46512 46818 46848 47232 47396 47519 48384 48552 48678 49077 49248 49419 49776 49856 50184 51072 51408 52326 52521 52704 52887 52972 53136 54264 54621 54656 55104 55488 55632 55998 56088 56457 57456 58072 58548 58752 59109 60024 60928 61047 61488 61992 62016 62424 62586 62976 63099 64736 64904 65331 65436 65664 65892 66368 66912 67527 68096 68544 69174 69768 70028 70272 70516 70848 71094 72352 72576 72828 73017 73472 73984 74176 74664 74784 75276 76608 76874 77112 78064 78336 78812 79056 79458 80032 81396 81984 82656 82688 82943 83232 83448 83997 84132 85034 86184 87108 87248 87552 87822 87856 88128 89216 90036 91392 92232 92701 92988 93024 93636 93696 93879 94464 94792 95038 96768 97104 97356 98154 98496 98838 99552 99712 100368 102144 102816 104652 105042 105408 105774 105944 106272 106641 108528 109242 109312 110208 110976 111264 111996 112176 112914 114912 115311 116144 117096 117504 118218 119187 120048 122094 122976 123403 123984 124032 124848 125172 126198 127551 129472 129808 130662 130872 131328 131733 131784 132736 133824 135054 137088 137921 138348 139536 140056 140544 141032 141696 142188 142557 144704 145152 145656 146034 146944 147231 147968 148257 148352 149328 149568 150552 153216 153748 154224 156128 157563 157624 158112 158661 158916 160064 162792 163863 163968 165312 165376 165886 166464 166896 167994 168264 170068 172368 174216 174496 175644 175712 176256 177327 178432 180072 182784 183141 184464 185402 185976 186048 187272 187758 188928 189584 190076 194208 194712 195993 196308 196992 197676 199104 199424 200736 202581 204288 205632 209304 210084 210816 211548 211888 212544 213282 217056 218484 218624 219051 220416 221952 222528 223992 224352 225131 225828 229824 230622 232288 234192 235008 236436 238374 240096 244188 245952 246806 247968 248064 248829 249696 250344 252396 255102 258944 259616 261324 261744 262656 263466 263568 265472 267648 270108 274176 275842 276696 278103 279072 280112 281088 282064 283392 284376 285114 289408 290304 291312 292068 294462 296514 296704 297619 298656 299136 301104 306432 307496 308448 312256 315126 315248 316224 317322 317832 319923 320128 325584 327726 327936 330624 331772 332633 332928 333792 334951 335988 336528 340136 344736 345933 348432 348992 351288 351424 352512 354654 356864 357561 360144 366282 368928 370209 370804 371952 372096 374544 375516 379168 380152 382653 388416 389424 391986 392616 393984 395199 395352 398208 398848 401472 405162 411264 413763 418608 420168 421632 423096 423776 425088 426564 427671 434112 436968 438102 440832 441693 443904 444771 445056 447984 448704 450262 451656 459648 461244 464576 468384 472689 472872 475983 476748 480192 488376 491904 493612 495936 496128 497658 499392 500688 504792 510204 517888 519232 522648 523488 526932 527136 530944 531981 535296 540216 548352 551684 553392 556206 558144 560224 564128 566784 568752 570228 578816 582624 584136 587979 588924 593028 593408 595238 597312 598272 602208 612864 614992 616896 624512 630252 630496 632448 634644 635664 639846 640256 651168 655452 655872 657153 661248 663544 665266 665856 667584 669902 671976 673056 675393 680272 689472 691866 696864 697984 702576 702848 705024 709308 715122 720288 722789 732564 737856 740418 741608 743904 744192 746487 749088 751032 758336 760304 765306 776832 778848 783972 785232 787968 790398 790704 796416 802944 807823 810324 822528 827526 834309 837216 840336 843264 846192 847552 850176 853128 855342 868224 873936 876204 883386 889542 890112 892857 895968 897408 900524 903312 919296 922488 929152 936768 945378 945744 951966 953496 959769 960384 976752 983808 987224 991872 995316 997899 998784 1001376 1004853 1009584 1020408 1035776 1037799 1038464 1045296 1046976 1053864 1054272 1063962 1070592 1072683 1080432 1103368 1106784 1110627 1112412 1116288 1120448 1128256 1137504 1140456 1147959 1157632 1165248 1168272 1175958 1177848 1186056 1190476 1194624 1196544 1204416 1229984 1233792 1241289 1249024 1260504 1260992 1264896 1269288 1271328 1279692 1280512 1283013 1302336 1310904 1314306 1322496 1327088 1330532 1331712 1335168 1339804 1343952 1346112 1350786 1360544 1378944 1383732 1393728 1395968 1405152 1405696 1418067 1418616 1427949 1430244 1440576 1445578 1465128 1475712 1480836 1483216 1487808 1488384 1492974 1498176 1502064 1516672 1520608 1530612 1553664 1557696 1567944 1570464 1575917 1580796 1581408 1592832 1595943 1605888 1615646 1620648 1645056 1655052 1668618 1674432 1680672 1692384 1695104 1700352 1706256 1710684 1736448 1747872 1752408 1766772 1779084 1780224 1785714 1791936 1794816 1801048 1806624 1838592 1844976 1858304 1873536 1890756 1891488 1903932 1906992 1919538 1920768 1953504 1967616 1974448 1983744 1990632 1995798 1997568 2002752 2009706 2019168 2026179 2040816 2075598 2076928 2090592 2093952 2107728 2108544 2127924 2145366 2160864 2168367 2206736 2213568 2221254 2224824 2232576 2239461 2240896 2256512 2275008 2280912 2295918 2330496 2336544 2344657 2351916 2355696 2372112 2380952 2389248 2408832 2423469 2459968 2467584 2482578 2498048 2502927 2521008 2521984 2529792 2538576 2542656 2559384 2566026 2604672 2621808 2628612 2654176 2661064 2670336 2678571 2679608 2687904 2692224 2701572 2721088 2757888 2767464 2787456 2791936 2810304 2811392 2836134 2837232 2855898 2860488 2881152 2891156 2930256 2951424 2961672 2966432 2975616 2985948 2993697 2996352 3004128 3014559 3033344 3041216 3061224 3107328 3113397 3115392 3135888 3140928 3151834 3161592 3162816 3191886 3211776 3231292 3241296 3310104 3331881 3337236 3348864 3361344 3384768 3390208 3412512 3421368 3443877 3472896 3495744 3504816 3533544 3558168 3571428 3583872 3589632 3602096 3613248 3689952 3716608 3723867 3747072 3781512 3782976 3807864 3813984 3839076 3841536 3849039 3907008 3948896 3967488 3981264 3991596 3995136 4005504 4019412 4038336 4052358 4081632 4151196 4153856 4181184 4187904 4215456 4217088 4255848 4290732 4321728 4336734 4413472 4427136 4442508 4449648 4465152 4478922 4481792 4513024 4550016 4561824 4591836 4660992 4673088 4689314 4703832 4711392 4727751 4744224 4761904 4778496 4817664 4846938 4919936 4935168 4965156 5005854 5042016 5043968 5059523 5077152 5085312 5118768 5132052 5209344 5243616 5257224 5308352 5322128 5340672 5357142 5359216 5375808 5384448 5403144 5442176 5515776 5534928 5574912 5620608 5654761 5672268 5674464 5711796 5720976 5762304 5782312 5860512 5902848 5923344 5932864 5951232 5971896 5987394 5992704 6008256 6029118 6066688 6078537 6082432 6122448 6226794 6230784 6271776 6281856 6303668 6323184 6325632 6383772 6462584 6482592 6505101 6620208 6663762 6674472 6697728 6718383 6722688 6769536 6780416 6825024 6842736 6887754 6991488 7009632 7033971 7067088 7116336 7142856 7167744 7204192 7226496 7270407 7379904 7447734 7494144 7508781 7563024 7565952 7615728 7627968 7678152 7698078 7814016 7897792 7962528 7983192 8011008 8035713 8038824 8076672 8104716 8163264 8302392 8362368 8375808 8430912 8434176 8511696 8581464 8643456 8673468 8826944 8854272 8885016 8899296 8957844 8963584 8981091 9026048 9043677 9100032 9123648 9183672 9321984 9346176 9378628 9407664 9422784 9455502 9488448 9523808 9635328 9693876 9839872 9930312 9995643 10011708 10084032 10087936 10119046 10154304 10170624 10237536 10264104 10418688 10487232 10514448 10616704 10644256 10714284 10718432 10751616 10768896 10806288 10884352 11069856 11149824 11171601 11241216 11309522 11344536 11348928 11423592 11441952 11524608 11564624 11721024 11846688 11865728 11902464 11943792 11974788 11985408 12016512 12058236 12157074 12164864 12244896 12453588 12461568 12543552 12563712 12607336 12646368 12651264 12767544 12925168 12965184 13010202 13240416 13327524 13348944 13395456 13436766 13445376 13539072 13650048 13685472 13732991 13775508 13982976 14019264 14067942 14134176 14183253 14232672 14285712 14335488 14408384 14452992 14540814 14759808 14895468 15017562 15126048 15131904 15178569 15231456 15255936 15356304 15396156 15628032 15795584 15925056 15966384 16022016 16071426 16077648 16153344 16209432 16326528 16604784 16724736 16861824 16964283 17023392 17162928 17286912 17346936 17653888 17708544 17770032 17798592 17915688 17962182 18087354 18200064 18235611 18247296 18367344 18692352 18757256 18815328 18845568 18911004 18976896 19047616 19387752 19515303 19679744 19860624 19991286 20023416 20168064 20238092 20308608 20341248 20475072 20528208 20974464 21028896 21101913 21233408 21288512 21428568 21436864 21503232 21612576 21768704 21811221 22139712 22343202 22482432 22619044 22689072 22697856 22847184 22883904 23129248 23442048 23693376 23731456 23887584 23949576 24033024 24107139 24116472 24314148 24329728 24489792 24907176 25087104 25127424 25214672 25292736 25302528 25535088 25850336 25930368 26020404 26480832 26655048 26697888 26873532 26890752 26943273 27078144 27131031 27300096 27370944 27465982 27551016 27965952 28038528 28135884 28268352 28366506 28465344 28571424 28816768 28905984 29081628 29519616 29790936 30035124 30252096 30263808 30357138 30462912 30511872 30712608 30792312 31256064 31591168 31850112 31932768 32142852 32155296 32306688 32418864 32653056 33209568 33449472 33723648 33928566 34046784 34325856 34573824 34693872 35307776 35540064 35597184 35831376 35924364 36174708 36471222 36494592 36734688 37384704 37514512 37630656 37691136 37822008 37953792 38095232 38775504 39030606 39721248 39982572 40046832 40336128 40476184 40617216 40950144 41056416 41198973 41948928 42057792 42203826 42466816 42549759 42577024 42857136 42873728 43006464 43225152 43622442 44279424 44686404 45238088 45378144 45395712 45535707 45694368 45767808 46258496 46884096 47386752 47462912 47775168 47899152 48066048 48214278 48232944 48628296 48979584 49814352 50174208 50429344 50585472 50892849 51070176 51700672 51860736 52040808 52961664 53310096 53395776 53747064 53886546 54262062 54600192 54741888 54931964 55102032 56077056 56271768 56536704 56733012 56930688 57142848 57633536 58163256 58545909 59039232 59581872 60070248 60504192 60714276 60925824 61023744 61425216 61584624 63182336 63305739 63700224 63865536 64285704 64310592 64837728 65306112 65433663 66419136 67447296 67857132 68093568 68651712 69387744 70615552 71080128 71194368 71662752 71848728 72349416 72942444 72989184 73469376 75029024 75261312 75382272 75644016 75907584 76190464 77551008 78061212 79442496 79965144 80093664 80672256 80952368 81234432 81900288 82112832 82397946 83897856 84115584 84407652 85099518 85154048 85714272 85747456 86450304 87244884 88558848 89372808 90476176 90756288 90791424 91071414 91388736 91535616 92516992 93768192 94773504 95550336 95798304 96130937 96428556 96465888 97256592 97959168 99628704 100348416 100858688 101170944 101785698 102140352 103401344 103721472 104081616 105923328 106620192 106791552 107494128 107773092 108524124 109483776 109863928 110204064 112154112 112543536 113073408 113466024 113861376 114285696 115267072 116326512 117091818 119163744 120140496 121008384 121428552 121851648 122850432 123169248 123596919 126611478 127400448 127649277 127731072 128571408 128621184 129675456 130867326 132838272 135714264 136187136 136607121 137303424 138775488 142160256 142388736 143325504 143697456 144698832 145884888 146938752 150058048 150522624 151288032 152380928 152678547 155102016 156122424 158884992 159930288 160187328 161904736 163800576 164225664 164795892 168231168 168815304 170199036 170308096 171428544 171494912 172900608 174489768 177117696 178745616 180952352 181512576 182142828 182777472 183071232 185033984 189547008 189917217 191100672 191596608 192261874 192857112 192931776 194513184 195918336 199257408 201717376 202341888 203571396 204280704 206802688 208163232 211846656 213240384 213583104 214988256 215546184 217048248 218967552 219727856 220408128 225087072 226146816 226932048 227722752 228571392 232653024 234183636 238327488 240280992 242016768 242857104 243703296 245700864 246338496 247193838 253222956 255298554 255462144 257142816 257242368 259350912 261734652 265676544 271428528 272374272 273214242 274606848 277550976 284320512 286651008 287394912 288392811 289397664 291769776 293877504 300116096 301045248 302576064 305357094 310204032 312244848 317769984 319860576 320374656 323809472 328451328 329591784 336462336 337630608 340398072 342857088 345801216 348979536 357491232 361904704 363025152 364285656 365554944 370067968 370790757 379834434 382201344 383193216 384523748 385714224 385863552 389026368 398514816 403434752 407142792 408561408 409821363 413605376 416326464 426480768 427166208 429976512 431092368 434096496 439455712 440816256 450174144 453864096 457142784 458035641 465306048 468367272 476654976 480561984 485714208 491401728 492676992 494387676 506445912 510597108 510924288 514285632 514484736 518701824 523469304 531353088 542857056 546428484 549213696 555101952 568641024 573302016 574789824 576785622 578795328 583539552 587755008 600232192 605152128 610714188 620408064 624489696 635539968 639721152 640749312 647618944 656902656 659183568 675261216 680796144 685714176 697959072 714982464 723809408 726050304 728571312 731109888 741581514 759668868 766386432 769047496 771428448 771727104 778052736 797029632 806869504 814285584 817122816 819642726 832652928 852961536 859953024 862184736 865178433 868192992 878911424 881632512 900348288 907728192 916071282 930612096 936734544 953309952 961123968 971428416 985353984 988775352 1012891824 1021194216 1028571264 1037403648 1046938608 1085714112 1092856968 1110203904 1112372271 1146604032 1149579648 1153571244 1157590656 1167079104 1200464384 1210304256 1221428376 1240816128 1248979392 1279442304 1281498624 1295237888 1318367136 1350522432 1361592288 1371428352 1395918144 1429964928 1447618816 1457142624 1483163028 1519337736 1532772864 1538094992 1542856896 1543454208 1556105472 1594059264 1628571168 1639285452 1665305856 1705923072 1719906048 1724369472 1730356866 1736385984 1757822848 1763265024 1800696576 1815456384 1832142564 1861224192 1873469088 1906619904 1922247936 1942856832 1970707968 1977550704 2025783648 2042388432 2057142528 2093877216 2171428224 2185713936 2224744542 2299159296 2307142488 2315181312 2334158208 2420608512 2442856752 2497958784 2558884608 2590475776 2595535299 2636734272 2701044864 2723184576 2791836288 2859929856 2895237632 2914285248 2966326056 3038675472 3076189984 3085713792 3112210944 3257142336 3278570904 3330611712 3439812096 3448738944 3460713732 3472771968 3515645696 3601393152 3630912768 3664285128 3722448384 3746938176 3844495872 3885713664 3955101408 4051567296 4084776864 4114285056 4187754432 4342856448 4371427872 4449489084 4598318592 4614284976 4630362624 4668316416 4885713504 4995917568 5117769216 5191070598 5273468544 5402089728 5446369152 5583672576 5719859712 5828570496 5932652112 6077350944 6152379968 6171427584 6514284672 6557141808 6897477888 6921427464 6945543936 7031291392 7261825536 7328570256 7493876352 7771427328 7786605897 7910202816 8103134592 8169553728 8375508864 8685712896 8742855744 8898978168 9228569952 9336632832 9771427008 9991835136 10382141196 10546937088 10804179456 10892738304 11167345152 11657140992 11865304224 12154701888 12304759936 12342855168 13028569344 13114283616 13794955776 13842854928 13891087872 14657140512 14987752704 15573211794 15820405632 16206269184 16339107456 16751017728 17485711488 17797956336 18457139904 19542854016 20764282392 21093874176 21785476608 23314281984 23730608448 24309403776 24609519872 26057138688 26228567232 27685709856 29314281024 29975505408 31146423588 31640811264 32412538368 32678214912 33502035456 34971422976 35595912672 36914279808 39085708032 41528564784 47461216896 48618807552 49219039744 52457134464 55371419712 58628562048 62292847176 63281622528 65356429824 69942845952 71191825344 73828559616 78171416064 83057129568 94922433792 97237615104 104914268928 110742839424 117257124096 124585694352 142383650688 147657119232 166114259136 189844867584 209828537856 221485678848 234514248192 249171388704 284767301376 332228518272 442971357696 498342777408 569534602752 664457036544 996685554816 1328914073088 1993371109632 3986742219264
- Sum of all divisors σ(n): 15832895379840
- Sum of proper divisors (its aliquot sum) s(n): 11846153160576
- 3986742219264 is an abundant number, because the sum of its proper divisors (11846153160576) is greater than itself. Its abundance is 7859410941312
Bases of 3986742219264
- Binary: 1110100000001111000101101010010010000000002
- Hexadecimal: 0x3A03C5A9200
- Base-36: 1EVHFDS00
Squares and roots of 3986742219264
- 3986742219264 squared (39867422192642) is 15894113522862043852701696
- 3986742219264 cubed (39867422192643) is 63365733419368977910230848233216671744
-
The
square root of 3986742219264 is 1996682.8038684563 -
The
cube root of 3986742219264 is 15856.4532619425
Scales and comparisons
How big is 3986742219264?- 3,986,742,219,264 seconds is equal to 126,766 years, 3 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 3,986,742,219,264 would take you about three hundred sixteen thousand, nine hundred fifteen 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 3986742219264 cubic inches would be around 1321.4 feet tall.
Recreational maths with 3986742219264
- 3986742219264 backwards is 4629122476893
- 3986742219264 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3986742219264'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 3986742219264 - Facts about the integer". Numbermatics.com. 2024. Web. 30 June 2024.
APA style:
Numbermatics. (2024). Number 3986742219264 - Facts about the integer. Retrieved 30 June 2024, from https://numbermatics.com/n/3986742219264/
Chicago style:
Numbermatics. 2024. "Number 3986742219264 - Facts about the integer". https://numbermatics.com/n/3986742219264/
The information we have on file for 3986742219264 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 3986742219264, math, Factors of 3986742219264, curriculum, school, college, exams, university, Prime factorization of 3986742219264, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred eighty-six billion, seven hundred forty-two million, two hundred nineteen thousand, two hundred sixty-four.