450602871034457934
450,602,871,034,457,934 is an even composite number composed of six prime numbers multiplied together.
What does the number 450602871034457934 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
450602871034457934 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 450602871034457934:
2 × 39 × 133 × 313 × 47 × 612
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 31 × 31 × 31 × 47 × 61 × 61)See below for interesting mathematical facts about the number 450602871034457934 from the Numbermatics database.
Names of 450602871034457934
- Cardinal: 450602871034457934 can be written as Four hundred fifty quadrillion, six hundred two trillion, eight hundred seventy-one billion, thirty-four million, four hundred fifty-seven thousand, nine hundred thirty-four.
Scientific notation
- Scientific notation: 4.50602871034457934 × 1017
Factors of 450602871034457934
Divisors of 450602871034457934
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 6 9 13 18 26 27 31 39 47 54 61 62 78 81 93 94 117 122 141 162 169 183 186 234 243 279 282 338 351 366 403 423 486 507 549 558 611 702 729 793 806 837 846 961 1014 1053 1098 1209 1222 1269 1457 1458 1521 1586 1647 1674 1833 1891 1922 2106 2187 2197 2379 2418 2511 2538 2867 2883 2914 3042 3159 3294 3627 3666 3721 3782 3807 4371 4374 4394 4563 4758 4941 5022 5239 5499 5673 5734 5766 6318 6561 6591 7137 7254 7442 7533 7614 7943 8601 8649 8742 9126 9477 9882 10309 10478 10881 10998 11163 11346 11421 12493 13113 13122 13182 13689 14274 14823 15066 15717 15886 16497 17019 17202 17298 18941 18954 19683 19773 20618 21411 21762 22326 22599 22842 23829 24583 24986 25803 25947 26226 27378 28431 29646 29791 30927 31434 32643 32994 33489 34038 34263 37271 37479 37882 39339 39366 39546 41067 42822 44469 45167 45198 47151 47658 48373 49166 49491 51057 51606 51894 56823 56862 58621 59319 59582 61854 64233 65286 66978 67797 68107 68526 71487 73749 74542 74958 77409 77841 78678 82134 85293 88877 88938 89373 90334 92781 94302 96746 97929 98982 100467 102114 102789 103259 111813 112437 113646 115351 117242 118017 118638 123201 128466 133407 134017 135501 135594 136214 141453 142974 145119 147498 148473 153171 154818 155682 162409 170469 170586 174887 175863 177754 177957 178746 185562 192699 195858 200934 203391 204321 205578 206518 214461 221247 223626 224874 230702 232227 233523 236034 246233 246402 255879 266631 266814 268034 268119 271002 278343 282906 290238 293787 296946 301401 306342 308367 309777 319579 324818 335439 337311 340938 346053 349774 351726 354051 355914 369603 385398 387283 400221 402051 406503 406782 408642 424359 428922 435357 442494 445419 459513 464454 467046 484523 487227 492466 511407 511758 524661 527589 533262 533871 536238 556686 578097 587171 587574 602802 610173 612963 616734 619554 628849 639158 643383 663741 670878 674622 692106 696681 700569 708102 738699 739206 762073 774566 799893 800442 804102 804357 813006 835029 848718 870714 881361 890838 904203 919026 925101 929331 958737 969046 974454 1006317 1011933 1022814 1038159 1049322 1055178 1062153 1067742 1108809 1155401 1156194 1161849 1174342 1200663 1206153 1219509 1220346 1225926 1257698 1273077 1286766 1306071 1327482 1336257 1378539 1393362 1400177 1401138 1453569 1461681 1477398 1499563 1524146 1534221 1573983 1582767 1599786 1601613 1608714 1670058 1734291 1761513 1762722 1808406 1817251 1838889 1850202 1858662 1886547 1917474 1930149 1991223 2012634 2023866 2076318 2090043 2101707 2111317 2124306 2216097 2217618 2273531 2286219 2310802 2323698 2399679 2401326 2412306 2413071 2439018 2505087 2546154 2612142 2644083 2672514 2712609 2755187 2757078 2787993 2800354 2876211 2907138 2923362 2999126 3018951 3035799 3068442 3114477 3147966 3165534 3186459 3201029 3203226 3326427 3466203 3468582 3485547 3523026 3575881 3618459 3634502 3658527 3677778 3773094 3819231 3860298 3918213 3982446 4008771 4135617 4154527 4180086 4200531 4203414 4222634 4360707 4385043 4432194 4498689 4547062 4572438 4602663 4721949 4748301 4799358 4804839 4826142 5010174 5034679 5202873 5284539 5288166 5421497 5425218 5451753 5510374 5516667 5575986 5659641 5752422 5790447 5973669 6037902 6071598 6228954 6270129 6298799 6305121 6333951 6372918 6402058 6648291 6652854 6820593 6858657 6932406 6971094 7151762 7199037 7236918 7239213 7317054 7515261 7633223 7638462 7836426 7932249 8017542 8137827 8175037 8265561 8271234 8309054 8363979 8401062 8628633 8721414 8770086 8997378 9056853 9107397 9205326 9343431 9443898 9496602 9559377 9603087 9609678 9906949 10069358 10398609 10405746 10456641 10569078 10727643 10842994 10855377 10903506 10975581 11033334 11319282 11457693 11580894 11754639 11947338 12026313 12406851 12463581 12540258 12597598 12601593 12610242 12667902 13082121 13155129 13296582 13496067 13641186 13717314 13807989 14165847 14244903 14398074 14414517 14478426 15020213 15030522 15104037 15266446 15608619 15853617 15864498 16264491 16275654 16350074 16355259 16531122 16550001 16727958 16978923 17257266 17371341 17921007 18113706 18202301 18214794 18686862 18810387 18896397 18915363 19001853 19118754 19206174 19494319 19813898 19944873 20461779 20575971 20797218 20913282 21455286 21597111 21710754 21717639 21951162 22545783 22899669 22915386 23509278 23624263 24052626 24413481 24525111 24796683 24813702 24927162 25091937 25203186 25885899 26164242 26310258 26992134 27170559 27322191 27615978 28030293 28331694 28489806 28678131 28809261 28829034 29555903 29720847 30040426 30208074 31195827 31217238 31369923 31707234 32182929 32528982 32566131 32710518 32926743 33100002 33957846 34373079 34742682 35263917 35817431 35842014 36404602 37220553 37390743 37620774 37792794 37804779 37830726 38003706 38988638 39246363 39465387 39889746 40488201 40923558 41151942 41423967 42497541 42734709 43194222 43243551 43435278 45060639 45091566 45312111 45799338 46486453 47248526 47560851 48793473 48826962 49050222 49065777 49593366 49650003 50183874 50936769 51771798 52114023 53763021 54341118 54606903 54644382 56060586 56431161 56689191 57005559 57356262 57618522 58482957 59111806 59441694 59834619 61385337 61727913 62391654 62739846 64365858 64791333 65132262 65152917 65450827 65853486 67637349 68699007 68746158 70479461 70527834 70872789 71634862 73240443 73575333 74390049 74441106 74781486 75275811 75609558 77657697 78492726 78930774 80976402 81511677 81966573 82847934 84090879 84995082 85410797 85469418 86427783 86487102 88667709 89162541 90121278 90624222 92972906 93587481 94109769 95121702 96548787 97586946 97698393 98131554 98780229 99231899 99300006 101873538 103119237 104228046 105791751 107452293 107526042 109213806 110852311 112172229 112862322 113378382 113414337 114011118 116965914 117739089 118396161 119669238 121464603 122770674 123455826 124271901 127492623 128204127 128790337 129582666 130305834 130901654 135181917 135274698 135936333 137398014 139459359 140958922 141745578 142682553 146380419 146480886 147150666 147197331 148780098 148950009 150551622 152810307 155315394 156342069 161289063 163023354 163820709 163933146 168066407 168181758 170067573 170821594 171016677 172855566 175448871 177335418 178325082 179503857 184156011 185183739 187174962 188219538 193097574 194373999 195262769 195396786 195458751 196352481 197560458 198463798 202912047 206097021 206238474 211438383 211583502 212618367 214904586 220725999 221704622 223170147 224344458 225827433 226828674 232973091 235478178 236629913 236792322 242929206 244535031 245899719 248543802 252272637 253426147 254985246 256232391 256408254 257580674 259283349 266003127 267487623 270363834 271872666 278918718 280762443 282329307 285365106 289646361 292760838 293095179 294394662 296340687 297695697 297900018 305620614 307115419 312684138 317375253 322356879 322578126 327641418 332556933 336132814 336516687 340135146 340243011 342033354 350897742 353217267 355188483 359007714 364393809 368312022 370367478 372815703 382477869 384226739 384612381 386371011 388747998 390525538 390917502 392704962 405545751 405824094 407808999 412194042 418378077 422876766 425236734 428047659 439141257 441451998 441591993 446340294 446850027 451654866 458430921 465626603 465946182 473259826 483867189 489070062 491462127 491799438 504199221 504545274 506852294 510202719 512464782 513050031 518566698 526346613 532006254 534975246 538511571 552468033 555551217 561524886 564658614 579292722 583121997 585788307 586190358 586376253 589057443 592681374 595391394 604323889 614230838 618291063 634315149 634750506 637855101 644713758 662177997 665113866 669510441 673033374 677482299 680486022 698919273 706434534 709889739 710376966 728787618 733605093 745631406 756817911 760278441 764955738 768453478 768697173 769224762 772742022 777850047 798009381 802462869 811091502 815617998 836756154 842287329 846987921 856095318 868939083 878282514 879285537 883183986 889022061 893087091 893700054 916232993 916861842 921346257 931253206 952125759 967070637 967734378 982924254 997670799 1008398442 1009550061 1020405438 1020729033 1026100062 1052693226 1059651801 1065565449 1077023142 1093181427 1104936066 1110340361 1111102434 1147433607 1152680217 1153837143 1159113033 1166243994 1171576614 1172752506 1178114886 1208647778 1216637253 1223426997 1236582126 1255134231 1268630298 1275710202 1284142977 1317423771 1324355994 1324775979 1339020882 1340550081 1354964598 1375292763 1396879809 1397838546 1419779478 1441080043 1467210186 1474386381 1512597663 1513635822 1520556882 1530608157 1537394346 1539150093 1555700094 1579039839 1596018762 1604925738 1615534713 1657404099 1666653651 1684574658 1693975842 1737878166 1749365991 1757364921 1758571074 1767172329 1778044122 1786174182 1812971667 1832465986 1842692514 1854873189 1902945447 1904251518 1913565303 1934141274 1986533991 1995341598 2008531323 2019100122 2032446897 2041458066 2096757819 2119303602 2129669217 2131130898 2184863291 2186362854 2220680722 2270453733 2280835323 2294867214 2305360434 2306091519 2307674286 2318226066 2333550141 2394028143 2407388607 2433274506 2446853994 2510268462 2526861987 2540963763 2568285954 2606817249 2634847542 2637856611 2649551958 2679261273 2681100162 2748698979 2750585526 2764038771 2793759618 2882160086 2901211911 2948772762 2993012397 3025195326 3028650183 3061216314 3062187099 3076188869 3078300186 3158079678 3178955403 3196696347 3231069426 3279544281 3314808198 3331021083 3333307302 3442300821 3458040651 3477339099 3498731982 3514729842 3534344658 3625943334 3649911759 3670280991 3709746378 3765402693 3805890894 3827130606 3852428931 3952271313 3973067982 3974327937 3992500447 4017062646 4064893794 4125878289 4190639427 4193515638 4259338434 4323240129 4369726582 4423159143 4537792989 4540907466 4561670646 4591824471 4612183038 4617450279 4667100282 4737119517 4788056286 4814777214 4846604139 4972212297 4999960953 5053723974 5081927526 5210058617 5213634498 5272094763 5275713222 5301516987 5358522546 5438915001 5497397958 5528077542 5564619567 5708836341 5740695909 5802423822 5959601973 5986024794 6025593969 6053145839 6057300366 6124374198 6152377738 6290273457 6357910806 6389007651 6393392694 6554589873 6559088562 6662042166 6842505969 6884601642 6916081302 6918274557 6954678198 7000650423 7182084429 7222165821 7299823518 7340561982 7530805386 7580585961 7622891289 7704857862 7820451747 7856210557 7904542626 7948655874 7985000894 8037783819 8246096937 8251756578 8292116313 8381278854 8646480258 8703635733 8846318286 8979037191 9075585978 9085950549 9183648942 9186561297 9228566607 9234900558 9474239034 9536866209 9693208278 9838632843 9944424594 9993063249 9999921906 10374121953 10420117234 10432017297 10544189526 10603033974 10877830002 10949735277 11010842973 11129239134 11296208079 11417672682 11481391818 11557286793 11856813939 11911028909 11919203946 11922983811 11977501341 12051187938 12106291678 12377634867 12571918281 12580546914 12778015302 12969720387 13109179746 13269477429 13613378967 13685011938 13775473413 13836549114 13852350837 14001300846 14211358551 14364168858 14434424693 14444331642 14916636891 14999882859 15161171922 15245782578 15630175851 15640903494 15712421114 15816284289 15904550961 16075567638 16316745003 16492193874 16584232626 16693858701 17126509023 17222087727 17407271466 17878805919 17958074382 18076781907 18159437517 18171901098 18373122594 18457133214 18734040559 19073732418 19167022953 19663769619 19677265686 19986126498 20527517907 20748243906 20754823671 20864034594 21001951269 21546253287 21666497463 21899470554 22021685946 22592416158 22741757883 23114573586 23461355241 23568631671 23713627878 23822057818 23845967622 23955002682 24113351457 24738290811 24755269734 24876348939 25143836562 25939440774 26110907199 26538954858 26937111573 27226757934 27257851647 27550946826 27559683891 27685699821 27704701674 28403222783 28422717102 28868849386 29515898529 29833273782 29979189747 29999765718 31122365859 31260351702 31296051891 31632568578 31809101922 32633490006 32849205831 33032528919 33387717402 33888624237 34253018046 34444175454 35570441817 35733086727 35757611838 35768951433 35932504023 36153563814 36318875034 37468081118 37715754843 38334045906 38909161161 39327539238 39808432287 40840136901 41055035814 41326420239 41509647342 41557052511 42003902538 42634075653 43092506574 43303274079 43332994926 44749910673 45483515766 46890527553 46922710482 47137263342 47448852867 47713652883 48226702914 48950235009 49476581622 49752697878 50081576103 51379527069 51666263181 52221814398 53636417757 53874223146 54230345721 54478312551 54515703294 55119367782 55371399642 56202121677 56806445566 57501068859 58991308857 59031797058 59958379494 61582553721 62244731718 62264471013 62592103782 63005853807 64638759861 64999492389 65698411662 66065057838 67730762021 67777248474 70384065723 70705895013 71140883634 71466173454 71537902866 71865008046 72340054371 74214872433 74629046817 75431509686 77818322322 78332721597 79616864574 80811334719 81680273802 81773554941 82652840478 83057099463 83114105022 85209668349 85268151306 86606548158 89499821346 89937569241 93367097577 93781055106 93888155673 94897705734 95427305766 97900470018 98547617493 99097586757 100163152206 101665872711 102759054138 103332526362 106711325451 107199260181 107272835514 107797512069 108460691442 108956625102 112404243354 113147264529 115002137718 116727483483 117982617714 119425296861 122520410703 123165107442 123979260717 124528942026 126011707614 127902226959 129277519722 129909822237 129998984778 135461524042 140671582659 140768131446 141411790026 142346558601 143140958649 144680108742 146850705027 148429744866 149258093634 150244728309 154138581207 154998789543 156665443194 160909253271 161622669438 163434937653 163547109882 166114198926 168606365031 170419336698 172503206577 176973926571 179875138482 184747661163 186734195154 186793413039 187647521009 187776311346 193916279583 194998477167 197095234986 198195173514 203192286063 203331745422 212117685039 213422650902 214398520362 215595024138 217020163113 222644617299 223887140451 226294529058 233454966966 234998164791 238850593722 242434004157 243542527267 245040821406 247958521434 249171298389 255629005047 255804453918 259819644474 269812707723 280101292731 281343165318 281664467019 284693117202 286281917298 293701410054 295642852479 300489456618 304997618133 308277162414 309997579086 321597780543 321818506542 323392536207 326869875306 337212730062 339441793587 345006413154 350182450449 353947853142 358275890583 367561232109 369241896179 369495322326 373586826078 375295042018 383706680877 387832559166 389729466711 389996954334 406384572126 422014747977 424235370078 427039675803 429422875947 434040326226 440552115081 445289234598 447774280902 462415743621 464996368629 469996329582 484868008314 487085054534 490304812959 498342596778 505819095093 511258010094 517509619731 530921779713 539625415446 554242983489 560202585462 560380239117 562942563027 563328934038 581748838749 591285704958 609576858189 609995236266 636353055117 643195561086 646785072414 651060489339 667933851897 671661421353 678883587174 700364900898 704994494373 716551781166 727302012471 730627581801 735122464218 738483792358 747513895167 766887015141 767413361754 779458933422 809438123169 840303878193 844029495954 844993401057 854079351606 858845751894 880499906273 881104230162 914992854399 924831487242 929992737258 964793341629 970177608621 980609625918 1011638190186 1018325380761 1035019239462 1050547351347 1061843559426 1102683696327 1107725688537 1108485966978 1120760478234 1125885126054 1163497677498 1169188400133 1219153716378 1266044243931 1272706110234 1281119027409 1288268627841 1302120978678 1321656345243 1335867703794 1343322842706 1387247230863 1409988988746 1454604024942 1461255163602 1470914438877 1495027790334 1517457285279 1533774030282 1552528859193 1592765339139 1618876246338 1662728950467 1680607756386 1681140717351 1688827689081 1689986802114 1760999812546 1828730574567 1829985708798 1909059165351 1929586683258 1940355217242 1953181468017 2003801555691 2014984264059 2036650761522 2101094702694 2181906037413 2191882745403 2205367392654 2215451377074 2242541685501 2300661045423 2338376800266 2428314369507 2520911634579 2532088487862 2534980203171 2562238054818 2576537255682 2641499718819 2643312690486 2774494461726 2894380024887 2910532825863 2941828877754 3034914570558 3054976142283 3105057718386 3151642054041 3185530678278 3308051088981 3323177065611 3325457900934 3362281434702 3377655378162 3507565200399 3657461149134 3798132731793 3818118330702 3843357082227 3906362936034 3964969035729 4007603111382 4029968528118 4363812074826 4383765490806 4412743316631 4485083371002 4552371855837 4601322090846 4657586577579 4778296017417 4856628739014 4988186851401 5041823269158 5066483067243 5069960406342 5282999437638 5486191723701 5727177496053 5788760049774 5821065651726 6011404667073 6044952792177 6109952284566 6303284108082 6575648236209 6616102177962 6646354131222 6727625056503 6901983136269 7015130400798 7284943108521 7562734903737 7596265463586 7686714164454 7924499156457 7929938071458 8683140074661 8731598477589 8825486633262 9104743711674 9164928426849 9315173155158 9454926162123 9556592034834 9969531196833 9976373702802 10132966134486 10522695601197 10972383447402 11394398195379 11446498781549 11454354992106 11894907107187 12022809334146 12089905584354 13151296472418 13238229949893 13455250113006 13657115567511 13803966272538 14334888052251 14569886217042 15125469807474 15199449201729 15848998312914 16458575171103 17181532488159 17366280149322 17463196955178 18034214001219 18329856853698 18909852324246 19726944708627 19939062393666 20182875169509 20705949408807 21045391202394 21854829325563 22788796390758 22892997563098 23773497469371 23789814214374 26049420223983 26194795432767 26476459899786 27314231135022 28364778486369 28669776104502 29908593590499 30398898403458 31568086803591 32917150342206 34183194586137 34339496344647 34363064976318 36068428002438 39453889417254 39714689849679 40365750339018 40971346702533 41411898817614 43004664156753 43709658651126 45598347605187 47546994938742 49375725513309 51544597464477 52098840447966 52389590865534 56729556972738 59180834125881 59817187180998 60548625508527 62117848226421 63136173607182 68366389172274 68678992689294 71320492408113 78148260671949 78584386298301 79429379699358 81942693405066 86009328313506 89725780771497 91196695210374 94704260410773 98751451026618 102549583758411 103018489033941 103089194928954 118361668251762 119144069549037 121097251017054 122914040107599 124235696452842 136795042815561 142640984816226 148127176539927 154633792393431 156296521343898 157168772596602 177542502377643 179451561542994 186353544679263 189408520821546 205099167516822 206036978067882 213961477224339 234444782015847 238288139098074 245828080215198 269177342314491 273590085631122 284112781232319 296254353079854 309055467101823 309267584786862 355085004755286 368742120322797 372707089358526 410385128446683 427922954448678 444381529619781 468889564031694 532627507132929 538354684628982 559060634037789 568225562464638 618110934203646 641884431673017 737484240645594 807532026943473 820770256893366 888763059239562 927166401305469 1065255014265858 1118121268075578 1231155385340049 1283768863346034 1333144588859343 1597882521398787 1615064053886946 1854332802610938 1925653295019051 2422596080830419 2462310770680098 2666289177718686 2781499203916407 3195765042797574 3693466156020147 3851306590038102 4793647564196361 4845192161660838 5562998407832814 5776959885057153 7267788242491257 7386932312040294 8344497611749221 9587295128392722 11553919770114306 14535576484982514 16688995223498442 17330879655171459 25033492835247663 34661759310342918 50066985670495326 75100478505742989 150200957011485978 225301435517228967 450602871034457934
- Sum of all divisors σ(n): 1178354697484124160
- Sum of proper divisors (its aliquot sum) s(n): 727751826449666226
- 450602871034457934 is an abundant number, because the sum of its proper divisors (727751826449666226) is greater than itself. Its abundance is 277148955415208292
Bases of 450602871034457934
- Binary: 110010000001101110011101100011111101100011110101111010011102
- Hexadecimal: 0x640DCEC7EC7AF4E
- Base-36: 3F8TDX88JYVI
Squares and roots of 450602871034457934
- 450602871034457934 squared (4506028710344579342) is 203042947384496328979444377215548356
- 450602871034457934 cubed (4506028710344579343) is 91491735034752427207238583485349056759694545024856504
-
The
square root of 450602871034457934 is 671269596.3876644503 -
The
cube root of 450602871034457934 is 766651.4913595769
Scales and comparisons
How big is 450602871034457934?- 450,602,871,034,457,934 seconds is equal to 14,327,777,492 years, 36 weeks, 3 days, 6 hours, 18 minutes, 54 seconds.
-
To count from 1 to 450,602,871,034,457,934 would take you about forty-two billion, nine hundred eighty-three million, three hundred thirty-two thousand, four hundred seventy-eight 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 450602871034457934 cubic inches would be around 63887.6 feet tall.
Recreational maths with 450602871034457934
- 450602871034457934 backwards is 439754430178206054
- The number of decimal digits it has is: 18
- The sum of 450602871034457934's digits is 72
- 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 450602871034457934 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 450602871034457934 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/450602871034457934/
Chicago style:
Numbermatics. 2024. "Number 450602871034457934 - Facts about the integer". https://numbermatics.com/n/450602871034457934/
The information we have on file for 450602871034457934 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 450602871034457934, math, Factors of 450602871034457934, curriculum, school, college, exams, university, Prime factorization of 450602871034457934, STEM, science, technology, engineering, physics, economics, calculator, four hundred fifty quadrillion, six hundred two trillion, eight hundred seventy-one billion, thirty-four million, four hundred fifty-seven thousand, nine hundred thirty-four.