24477400841260584448
24,477,400,841,260,584,448 is an even composite number composed of five prime numbers multiplied together.
24477400841260584448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 24477400841260584448:
29 × 7 × 118 × 17 × 374
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 24477400841260584448 from the Numbermatics database.
Names of 24477400841260584448
- Cardinal: 24477400841260584448 can be written as Twenty-four quintillion, four hundred seventy-seven quadrillion, four hundred trillion, eight hundred forty-one billion, two hundred sixty million, five hundred eighty-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 2.4477400841260584448 × 1019
Factors of 24477400841260584448
Divisors of 24477400841260584448
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 37 44 56 64 68 74 77 88 112 119 121 128 136 148 154 176 187 224 238 242 256 259 272 296 308 352 374 407 448 476 484 512 518 544 592 616 629 704 748 814 847 896 952 968 1036 1088 1184 1232 1258 1309 1331 1369 1408 1496 1628 1694 1792 1904 1936 2057 2072 2176 2368 2464 2516 2618 2662 2738 2816 2849 2992 3256 3388 3584 3808 3872 4114 4144 4352 4403 4477 4736 4928 5032 5236 5324 5476 5632 5698 5984 6512 6776 6919 7616 7744 8228 8288 8704 8806 8954 9317 9472 9583 9856 10064 10472 10648 10952 11396 11968 13024 13552 13838 14399 14641 15059 15232 15488 16456 16576 17612 17908 18634 18944 19166 19712 20128 20944 21296 21904 22627 22792 23273 23936 26048 27104 27676 28798 29282 30118 30464 30976 31339 32912 33152 35224 35816 37268 38332 39424 40256 41888 42592 43808 45254 45584 46546 47872 48433 49247 50653 52096 54208 55352 57596 58564 60236 60928 61952 62678 65824 66304 70448 71632 74536 76109 76664 80512 83776 85184 87616 90508 91168 93092 95744 96866 98494 101306 102487 104192 105413 108416 110704 115192 117128 120472 125356 131648 132608 140896 143264 149072 152218 153328 158389 161024 161051 162911 165649 167552 170368 175232 181016 182336 186184 193732 196988 202612 204974 208384 210826 216832 221408 230384 234256 240944 248897 250712 256003 263296 281792 286528 298144 304436 306656 316778 322048 322102 325822 331298 335104 340736 344729 350464 354571 362032 364672 372368 387464 393976 405224 409948 421652 433664 442816 460768 468512 481888 497794 501424 512006 526592 532763 541717 557183 563584 573056 596288 608872 613312 633556 644204 651644 662596 670208 681472 689458 700928 709142 724064 729344 744736 774928 787952 810448 819896 837199 843304 861101 885632 921536 937024 963776 995588 1002848 1024012 1053184 1065526 1083434 1114366 1127168 1127357 1146112 1159543 1192576 1217744 1226624 1267112 1288408 1303288 1325192 1378916 1418284 1448128 1458688 1489472 1549856 1575904 1620896 1639792 1674398 1686608 1722202 1742279 1771264 1771561 1792021 1822139 1843072 1874048 1874161 1927552 1991176 2005696 2048024 2131052 2166868 2228732 2254336 2254714 2292224 2319086 2385152 2435488 2453248 2534224 2576816 2606576 2650384 2737867 2757832 2816033 2836568 2896256 2978944 3099712 3151808 3241792 3279584 3348796 3373216 3444404 3484558 3542528 3543122 3584042 3644278 3686144 3748096 3748322 3792019 3855104 3900281 3982352 4011392 4096048 4262104 4333736 4457464 4509428 4638172 4770304 4870976 4906496 5068448 5153632 5213152 5300768 5475734 5515664 5632066 5673136 5792512 5860393 5957888 5958887 6027707 6129013 6199424 6303616 6483584 6559168 6697592 6746432 6888808 6969116 7086244 7168084 7288556 7372288 7496192 7496644 7584038 7710208 7800562 7964704 8022784 8192096 8524208 8667472 8914928 9018856 9209189 9276344 9472111 9741952 10136896 10307264 10426304 10601536 10951468 11031328 11264132 11346272 11585024 11720786 11915776 11917774 12055414 12258026 12398848 12400927 12607232 12754973 12967168 13118336 13119127 13395184 13492864 13777616 13938232 14172488 14336168 14577112 14993288 15168076 15601124 15929408 16045568 16384192 17048416 17334944 17829856 18037712 18418378 18552688 18944222 19165069 19483904 19487171 19712231 20043529 20273792 20614528 20615771 20852608 21203072 21902936 22062656 22528264 22692544 23441572 23835548 24110828 24516052 24797696 24801854 25214464 25509946 25934336 26236672 26238254 26790368 26985728 27555232 27876464 28344976 28672336 29154224 29986576 30116537 30336152 30976363 31202248 31858816 31860737 32768384 34096832 34669888 35659712 36075424 36836756 37105376 37888444 38330138 38967808 38974342 39424462 40087058 40547584 41229056 41231542 41705216 41712209 42406144 42903091 43805872 44125312 45056528 45385088 46883144 47671096 48221656 49032104 49603708 51019892 52473344 52476508 53580736 53971456 55110464 55752928 56689952 57344672 58308448 59973152 60233074 60672304 61952726 62404496 63717632 63721474 64464323 65536768 65547757 66304777 67419143 68193664 69339776 71319424 72150848 73673512 74210752 75776888 76660276 77948684 78848924 80174116 81095168 82458112 82463084 83410432 83424418 84812288 85806182 87611744 88250624 90113056 90770176 93766288 95342192 96443312 98064208 99207416 101301079 102039784 104193221 104953016 107161472 110220928 111505856 113379904 114689344 116616896 119946304 120466148 121344608 123905452 124808992 127435264 127442948 128928646 131073536 131095514 132609554 134838286 136387328 136410197 138679552 140304703 142638848 144301696 144310397 147347024 148421504 151553776 153320552 155897368 157697848 160348232 164926168 166848836 171612364 175223488 176501248 180226112 181540352 187532576 190684384 192886624 196128416 198414832 202602158 204079568 208386442 209906032 210815759 214322944 214358881 216834541 220441856 220478819 223011712 223025159 226759808 226773481 229378688 233233792 239892608 240932296 242689216 247810904 249617984 254885896 257857292 262191028 265219108 269676572 272774656 272820394 277359104 280609406 285277696 288603392 288620794 294694048 296843008 303107552 306641104 311794736 315395696 320696464 329852336 331281907 333697672 340739993 343224728 350446976 350468107 360452224 375065152 381368768 385773248 392256832 396829664 405204316 408159136 416772884 419812064 421631518 428645888 428717762 433669082 440883712 440957638 446023424 446050318 453519616 453546962 458757376 458834299 466467584 471934001 479785216 481864592 485378432 495621808 499235968 509771792 515714584 524382056 530438216 539353144 545640788 561218812 577206784 577241588 589388096 593686016 606215104 613282208 623589472 630791392 641392928 659704672 662563814 667395344 681479986 686449456 700893952 700936214 709107553 720904448 721025327 729352547 741610573 750130304 762737536 771546496 784513664 793659328 810408632 816318272 833545768 839624128 843263036 857435524 867338164 881915276 892046848 892100636 907039232 907093924 917514752 917668598 932935168 943868002 959570432 963729184 970756864 991243616 998471936 1019543584 1031429168 1048764112 1060876432 1078706288 1091281576 1114311869 1122437624 1146125431 1154483176 1178776192 1212430208 1226564416 1247178944 1261582784 1282785856 1319409344 1325127628 1334790688 1362959972 1372898912 1401787904 1401872428 1418215106 1441808896 1442050654 1458705094 1483221146 1500260608 1500512167 1525475072 1543092992 1543351733 1569027328 1587318656 1587414367 1620817264 1632636544 1667091536 1679248256 1686526072 1714871048 1734676328 1763830552 1784201272 1814187848 1835337196 1887736004 1927458368 1941513728 1982487232 1996943872 2039087168 2062858336 2097528224 2121752864 2157412576 2182563152 2228623738 2244875248 2292250862 2308966352 2318973349 2357552384 2385179951 2424860416 2425267009 2453128832 2453276749 2494357888 2494508291 2523165568 2565571712 2638818688 2650255256 2669581376 2725919944 2745797824 2803744856 2836430212 2884101308 2917410188 2966442292 3000521216 3001024334 3050950144 3086185984 3086703466 3138054656 3174637312 3174828734 3241634528 3265273088 3334183072 3358496512 3373052144 3429742096 3469352656 3527661104 3568402544 3628375696 3644100977 3670674392 3748139923 3775472008 3854916736 3855149177 3964974464 4078174336 4125716672 4195056448 4243505728 4314825152 4365126304 4457247476 4489750496 4584501724 4617932704 4637946698 4715104768 4770359902 4849720832 4850534018 4906257664 4906553498 4988715776 4989016582 5046331136 5047177289 5131143424 5191274011 5277637376 5300510512 5339162752 5451839888 5491595648 5607489712 5672860424 5768202616 5834820376 5932884584 6002048668 6173406932 6349274624 6349657468 6483269056 6530546176 6668366144 6716993024 6746104288 6859484192 6938705312 7055322208 7136805088 7256751392 7288201954 7341348784 7496279846 7550944016 7709833472 7710298354 7800183083 7929948928 7931278597 8022878017 8156348672 8157716303 8251433344 8390112896 8487011456 8629650304 8730252608 8914494952 8979500992 9169003448 9235865408 9275893396 9540719804 9701068036 9812515328 9813106996 9977431552 9978033164 10092662272 10094354578 10262286848 10382548022 10555274752 10601021024 10678325504 10903679776 10983191296 11214979424 11345720848 11536405232 11669640752 11865769168 12004097336 12257430559 12346813864 12607379741 12699314936 12966538112 13336732288 13492208576 13718968384 13877410624 14110644416 14273610176 14513502784 14576403908 14682697568 14992559692 15101888032 15419666944 15420596708 15600366166 15859897856 15862557194 16045756034 16312697344 16315432606 16502866688 16780225792 16974022912 16976869063 17259300608 17460505216 17461558037 17828989904 17959001984 18338006896 18471730816 18551786792 19081439608 19402136072 19626213992 19956066328 20188709156 20765096044 21202042048 21356651008 21807359552 21966382592 22429958848 22691441696 23072810464 23339281504 23731538336 24008194672 24514861118 24693627728 25214759482 25398629872 25508706839 25933076224 26236979461 26673464576 26677937099 26984417152 26986044239 27437936768 27439591201 27754821248 28221288832 28547220352 29027005568 29152807816 29365395136 29985119384 30203776064 30841193416 31200732332 31725114388 32091512068 32630865212 33005733376 33560451584 33948045824 33953738126 34518601216 34921010432 34923116074 35657979808 35918003968 36676013792 36943461632 37103573584 38162879216 38804272144 39252427984 39912132656 40377418312 41229539153 41530192088 42404084096 42406640947 43614719104 44859917696 45382883392 46145620928 46678563008 47463076672 48016389344 49029722236 49387255456 50429518964 50797259744 51017413678 51866152448 52473958922 53346929152 53355874198 53968834304 53972088478 54875873536 54879182402 55509642496 55518950179 56442577664 57094440704 57104014121 58054011136 58305615632 58730790272 59970238768 60407552128 61682386832 62401464664 63450228776 64183024136 65261730424 67907476252 69842020864 69846232148 71315959616 71836007936 73352027584 73886923264 74207147168 76325758432 77608544288 78504855968 79824265312 80754836624 82459078306 83060384176 84808168192 84813281894 85802013913 87229438208 88251658187 89719835392 89734879333 90765766784 92291241856 93357126016 94926153344 96032778688 98059444472 98774510912 100859037928 101594519488 102034827356 104947917844 106711748396 107937668608 107944176956 109751747072 109758364804 111019284992 111037900358 112885155328 114188881408 114208028242 116108022272 116611231264 117461580544 119940477536 120815104256 123364773664 124802929328 126900457552 128366048272 130523460848 134831736149 135814952504 138681177151 139692464296 142631919232 146704055168 148414294336 152651516864 155217088576 157009711936 159648530624 161509673248 164918156612 166120768352 169616336384 169626563788 171604027826 174458876416 176503316374 179439670784 179469758666 181531533568 184582483712 186714252032 186745559693 189852306688 192065557376 192077138407 196118888944 197549021824 201718075856 203189038976 204069654712 209895835688 213423496792 215888353912 219516729608 222075800716 228416056484 233222462528 234923161088 239880955072 241630208512 246729547328 249605858656 253800915104 256732096544 261046921696 269663472298 271629905008 277362354302 279384928592 285263838464 288606774071 293408110336 293457308089 296828588672 296846486629 301835503211 305303033728 310434177152 314019423872 319297061248 323019346496 329836313224 332241536704 339253127576 343208055652 353006632748 358939517332 363063067136 369164967424 373428504064 373491119386 379704613376 384131114752 384154276814 392237777888 395098043648 403436151712 406378077952 408139309424 419791671376 426846993584 431776707824 439033459216 444151601432 453524930683 456832112968 466444925056 466473050417 479761910144 493459094656 499211717312 507601830208 513464193088 522093843392 539326944596 543259810016 554724708604 558769857184 570527676928 577213548142 586816220672 586914616178 593657177344 593692973258 603671006422 610606067456 620868354304 628038847744 628144155331 638594122496 646038692992 659672626448 664483073408 678506255152 686416111304 706013265496 717879034664 746982238772 768262229504 768308553628 784475555776 790196087296 806872303424 812756155904 816278618848 839583342752 853693987168 863553415648 878066918432 888303202864 907049861366 913664225936 932889850112 932946100834 943822153043 959523820288 970768240057 986918189312 987083672663 998423434624 1015203660416 1026928386176 1044187686784 1078653889192 1086519620032 1109449417208 1117539714368 1154427096284 1173829232356 1187314354688 1187385946516 1207342012844 1221212134912 1241736708608 1256077695488 1256288310662 1277188244992 1292077385984 1319345252896 1328966146816 1357012510304 1372832222608 1412026530992 1435758069328 1493964477544 1525492948661 1536617107256 1568951111552 1613744606848 1632557237696 1679166685504 1707387974336 1727106831296 1756133836864 1776606405728 1814099722732 1827328451872 1865779700224 1865892201668 1887644306086 1919047640576 1941536480114 1973836378624 1974167345326 1996846869248 2030407320832 2053856772352 2054201156623 2088375373568 2112848522477 2157307778384 2173039240064 2218898834416 2235079428736 2308854192568 2347658464712 2374771893032 2414684025688 2512576621324 2584154771968 2638690505792 2657932293632 2714025020608 2745664445216 2824053061984 2871516138656 2987928955088 3050985897322 3073234214512 3137902223104 3174674514781 3227489213696 3265114475392 3265311352919 3320190535321 3358333371008 3414775948672 3454213662592 3512267673728 3553212811456 3628199445464 3654656903744 3731784403336 3775288612172 3883072960228 3948334690652 3993693738496 4060814641664 4107713544704 4108402313246 4176750747136 4225697044954 4314615556768 4346078480128 4437797668832 4470158857472 4617708385136 4695316929424 4749543786064 4829368051376 4988774237513 5025153242648 5131203554587 5277381011584 5428050041216 5491328890432 5648106123968 5743032277312 5975857910176 6101971794644 6146468429024 6275804446208 6349349029562 6454978427392 6530228950784 6530622705838 6640381070642 6716666742016 6829551897344 6908427325184 6909585708641 7024535347456 7106425622912 7256398890928 7309313807488 7463568806672 7550577224344 7766145920456 7896669381304 8216804626492 8451394089908 8629231113536 8692156960256 8875595337664 8940317714944 9235416770272 9390633858848 9499087572128 9658736102752 9977548475026 10050306485296 10262407109174 10554762023168 10678450640627 10856100082432 10857920399293 10982657780864 11296212247936 11486064554624 11951715820352 12203943589288 12292936858048 12698698059124 13060457901568 13061245411676 13280762141284 13433333484032 13659103794688 13816854650368 13819171417282 14049070694912 14212851245824 14512797781856 14618627614976 14927137613344 15101154448688 15532291840912 15793338762608 16433609252984 16780422435271 16902788179816 17258462227072 17751190675328 18470833540544 18781267717696 18998175144256 19317472205504 19955096950052 20100612970592 20524814218348 21109524046336 21356901281254 21712200164864 21715840798586 21965315561728 22592424495872 22972129109248 23241333747247 23903431640704 24407887178576 24585873716096 25397396118248 26122490823352 26561524282568 27638342834564 28425702491648 29025595563712 29237255229952 29854275226688 30202308897376 31064583681824 31586677525216 32867218505968 33560844870542 33805576359632 34516924454144 34921419662591 35502381350656 35918424882109 36522095888531 36941667081088 37562535435392 37996350288512 38634944411008 39910193900104 40201225941184 41049628436696 42713802562508 43431681597172 43930631123456 45184848991744 45944258218496 46482667494494 47806863281408 48815774357152 49171747432192 50794792236496 52244981646704 53123048565136 55276685669128 56443239100457 58051191127424 59708550453376 60404617794752 62129167363648 63173355050432 65734437011936 67121689741084 67611152719264 69033848908288 69842839325182 71004762701312 71836849764218 73044191777062 73883334162176 75125070870784 75992700577024 76005442795051 77269888822016 79820387800208 80402451882368 82099256873392 85427605125016 86863363194344 92965334988988 95613726562816 97631548714304 98343494864384 101589584472992 104489963293408 106246097130272 110553371338256 112886478200914 116102382254848 117462957046897 119417100906752 120809235589504 124258334727296 126346710100864 131468874023872 134243379482168 135222305438528 139685678650364 143673699528436 146088383554124 147766668324352 150250141741568 151985401154048 152010885590102 154539777644032 159640775600416 160804903764736 164198513746784 170855210250032 173726726388688 184584646787981 185930669977976 195263097428608 203179168945984 208979926586816 212492194260544 221106742676512 225772956401828 232204764509696 234925914093794 238834201813504 241618471179008 248516669454592 252693420201728 255654671219717 262937748047744 268486758964336 270444610877056 279371357300728 287347399056872 292176767108248 304021771180204 319281551200832 321609807529472 328397027493568 341710420500064 347453452777376 369169293575962 371861339955952 390526194857216 395102673703199 401743054773841 406358337891968 417959853173632 424984388521088 442213485353024 451545912803656 469851828187588 483236942358016 497033338909184 505386840403456 511309342439434 525875496095488 536973517928672 540889221754112 558742714601456 574694798113744 584353534216496 608043542360408 620875630105027 638563102401664 656794054987136 683420841000128 694906905554752 738338587151924 743722679911904 781052389714432 790205347406398 803486109547682 812716675783936 835919706347264 849968777042176 884426970706048 903091825607312 939703656375176 1022618684878868 1051750992190976 1073947035857344 1081778443508224 1117485429202912 1149389596227488 1168707068432992 1216087084720816 1241751260210054 1277126204803328 1292092527515867 1313588109974272 1366841682000256 1389813811109504 1476677174303848 1487445359823808 1580410694812796 1606972219095364 1625433351567872 1671839412694528 1699937554084352 1768853941412096 1806183651214624 1879407312750352 2045237369757736 2147894071714688 2234970858405824 2298779192454976 2337414136865984 2432174169441632 2483502520420108 2554252409606656 2584185055031734 2627176219948544 2733683364000512 2779627622219008 2812201383416887 2953354348607696 2974890719647616 3160821389625592 3213944438190728 3537707882824192 3612367302429248 3758814625500704 4090474739515472 4295788143429376 4346129410735189 4469941716811648 4597558384909952 4674828273731968 4864348338883264 4967005040840216 5168370110063468 5467366728001024 5559255244438016 5624402766833774 5906708697215392 5949781439295232 6321642779251184 6427888876381456 6829631931155297 7224734604858496 7517629251001408 8180949479030944 8591576286858752 8692258821470378 8939883433623296 9195116769819904 9349656547463936 9728696677766528 9934010081680432 10336740220126936 11248805533667548 11813417394430784 11899562878590464 12643285558502368 12855777752762912 13659263862310594 14449469209716992 15035258502002816 16361898958061888 17384517642940756 17879766867246592 18390233539639808 18699313094927872 19457393355533056 19868020163360864 20673480440253872 22497611067335096 23626834788861568 25286571117004736 25711555505525824 27318527724621188 28898938419433984 30070517004005632 32723797916123776 34769035285881512 38914786711066112 39736040326721728 41346960880507744 44995222134670192 47253669577723136 47807423518087079 50573142234009472 51423111011051648 54637055449242376 60141034008011264 65447595832247552 69538070571763024 79472080653443456 82693921761015488 89990444269340384 94507339155446272 95614847036174158 101146284468018944 102846222022103296 109274110898484752 130895191664495104 139076141143526048 158944161306886912 165387843522030976 179980888538680768 191229694072348316 202292568936037888 205692444044206592 218548221796969504 278152282287052096 317888322613773824 330775687044061952 359961777077361536 382459388144696632 437096443593939008 556304564574104192 661551374088123904 719923554154723072 764918776289393264 874192887187878016 1112609129148208384 1439847108309446144 1529837552578786528 1748385774375756032 2225218258296416768 3059675105157573056 3496771548751512064 6119350210315146112 12238700420630292224 24477400841260584448
- Sum of all divisors σ(n): 66908055018228743088
- Sum of proper divisors (its aliquot sum) s(n): 42430654176968158640
- 24477400841260584448 is an abundant number, because the sum of its proper divisors (42430654176968158640) is greater than itself. Its abundance is 17953253335707574192
Bases of 24477400841260584448
- Binary: 101010011101100010011001001100000110110000010111101001110000000002
- Hexadecimal: 0x153B13260D82F4E00
- Base-36: 55YUAFQQT5O1S
Squares and roots of 24477400841260584448
- 24477400841260584448 squared (244774008412605844482) is 599143151943744367254321345790539464704
- 24477400841260584448 cubed (244774008412605844483) is 14665467091423326547242178923331679106696824266096107323392
-
The
square root of 24477400841260584448 is 4947464081.8565408205 -
The
cube root of 24477400841260584448 is 2903499.5738941543
Scales and comparisons
How big is 24477400841260584448?- 24,477,400,841,260,584,448 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 24,477,400,841,260,584,448 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 24477400841260584448 cubic inches would be around 241958.3 feet tall.
Recreational maths with 24477400841260584448
- 24477400841260584448 backwards is 84448506214800477442
- The number of decimal digits it has is: 20
- The sum of 24477400841260584448's digits is 82
- 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 24477400841260584448 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 24477400841260584448 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/24477400841260584448/
Chicago style:
Numbermatics. 2024. "Number 24477400841260584448 - Facts about the integer". https://numbermatics.com/n/24477400841260584448/
The information we have on file for 24477400841260584448 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 24477400841260584448, math, Factors of 24477400841260584448, curriculum, school, college, exams, university, Prime factorization of 24477400841260584448, STEM, science, technology, engineering, physics, economics, calculator, twenty-four quintillion, four hundred seventy-seven quadrillion, four hundred trillion, eight hundred forty-one billion, two hundred sixty million, five hundred eighty-four thousand, four hundred forty-eight.