248722235688630222848
248,722,235,688,630,222,848 is an even composite number composed of five prime numbers multiplied together.
248722235688630222848 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 248722235688630222848:
217 × 72 × 19 × 313 × 4093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 31 × 31 × 31 × 409 × 409 × 409)See below for interesting mathematical facts about the number 248722235688630222848 from the Numbermatics database.
Names of 248722235688630222848
- Cardinal: 248722235688630222848 can be written as Two hundred forty-eight quintillion, seven hundred twenty-two quadrillion, two hundred thirty-five trillion, six hundred eighty-eight billion, six hundred thirty million, two hundred twenty-two thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 2.48722235688630222848 × 1020
Factors of 248722235688630222848
Divisors of 248722235688630222848
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 64 76 98 112 124 128 133 152 196 217 224 248 256 266 304 392 409 434 448 496 512 532 589 608 784 818 868 896 931 961 992 1024 1064 1178 1216 1519 1568 1636 1736 1792 1862 1922 1984 2048 2128 2356 2432 2863 3038 3136 3272 3472 3584 3724 3844 3968 4096 4123 4256 4712 4864 5726 6076 6272 6544 6727 6944 7168 7448 7688 7771 7936 8192 8246 8512 9424 9728 11452 12152 12544 12679 13088 13454 13888 14336 14896 15376 15542 15872 16384 16492 17024 18259 18848 19456 20041 22904 24304 25088 25358 26176 26908 27776 28672 28861 29791 29792 30752 31084 31744 32768 32984 34048 36518 37696 38912 40082 45808 47089 48608 50176 50716 52352 53816 54397 55552 57344 57722 59582 59584 61504 62168 63488 65536 65968 68096 73036 75392 77824 80164 88753 91616 94178 97216 100352 101432 104704 107632 108794 111104 114688 115444 119164 119168 123008 124336 126976 127813 131072 131936 136192 146072 150784 155648 160328 167281 177506 183232 188356 194432 200704 202864 208537 209408 215264 217588 222208 229376 230888 238328 238336 240901 246016 248672 253952 255626 263872 272384 292144 301568 311296 320656 334562 355012 366464 376712 380779 388864 393049 401408 405728 417074 418816 430528 435176 444416 458752 461776 476656 476672 481802 492032 497344 507904 511252 527744 544768 566029 584288 603136 621271 622592 641312 669124 710024 732928 753424 761558 777728 786098 802816 811456 834148 837632 861056 870352 888832 894691 917504 923552 953312 953344 963604 984064 994688 1015808 1022504 1055488 1089536 1132058 1168576 1170967 1206272 1242542 1245184 1282624 1338248 1420048 1459759 1465856 1506848 1523116 1555456 1572196 1605632 1622912 1668296 1675264 1686307 1722112 1740704 1777664 1789382 1847104 1906624 1906688 1927208 1968128 1989376 2031616 2045008 2110976 2179072 2264116 2337152 2341934 2412544 2485084 2490368 2565248 2676496 2751343 2840096 2919518 2931712 3013696 3046232 3110912 3144392 3178339 3211264 3245824 3336592 3350528 3372614 3444224 3481408 3555328 3578764 3694208 3813248 3813376 3854416 3936256 3962203 3978752 4063232 4090016 4221952 4358144 4528232 4674304 4683868 4825088 4970168 5130496 5185711 5352992 5502686 5680192 5839036 5863424 6027392 6092464 6221824 6288784 6356678 6422528 6491648 6673184 6701056 6745228 6888448 6962816 7110656 7157528 7388416 7467931 7626496 7626752 7708832 7872512 7924406 7957504 8180032 8196769 8443904 8716288 9056464 9348608 9367736 9650176 9940336 10260992 10371422 10705984 11005372 11360384 11678072 11726848 11804149 12054784 12184519 12184928 12443648 12577568 12713356 12983296 13346368 13402112 13490456 13776896 13925632 14221312 14315056 14776832 14935862 15252992 15253504 15417664 15745024 15848812 15915008 16360064 16393538 16887808 17432576 18112928 18697216 18735472 19259401 19300352 19880672 20521984 20742844 21411968 22010744 22248373 22720768 23356144 23453696 23608298 24109568 24369038 24369856 24887296 25155136 25426712 25966592 26692736 26804224 26980912 27553792 27735421 27851264 28442624 28630112 29553664 29871724 30505984 30507008 30835328 31490048 31697624 31830016 32720128 32787076 33775616 36225856 36299977 37394432 37470944 38518802 38600704 39761344 41043968 41485688 42823936 44021488 44496746 45441536 46712288 46907392 47216596 48219136 48738076 48739712 49774592 50310272 50853424 51933184 52275517 53385472 53608448 53961824 55107584 55470842 55702528 57260224 59107328 59743448 61011968 61014016 61670656 62980096 63395248 63660032 65440256 65574152 67551232 68417929 72451712 72599954 74788864 74941888 77037604 77201408 79522688 82087936 82971376 85291633 85647872 88042976 88993492 90883072 93424576 93814784 94433192 96438272 97476152 97479424 98528509 99549184 100620544 101706848 103866368 104551034 106770944 107923648 110215168 110941684 111405056 114520448 118214656 119486896 122023936 122028032 123341312 125960192 126790496 127320064 130880512 131148304 135102464 136835858 144903424 145199908 149577728 149883776 154075208 155738611 159045376 160757041 164175872 165942752 170583266 171295744 176085952 177986984 181766144 186849152 187629568 188866384 192876544 194952304 194958848 197057018 199098368 201241088 203413696 207732736 209102068 213541888 215847296 220430336 221883368 222810112 229040896 231505861 236429312 238973792 244047872 246682624 253580992 254099839 254640128 261761024 262296608 270204928 273671716 289806848 290399816 299155456 299767552 308150416 311477222 318090752 321514082 328351744 331885504 341166532 342591488 352171904 355973968 363532288 365928619 373698304 375259136 377732768 385753088 389904608 389917696 394114036 402482176 406827392 415465472 418204136 427083776 431694592 440860672 443766736 445620224 458081792 463011722 472858624 477947584 478925503 488095744 493365248 507161984 508199678 509280256 523522048 524593216 540409856 547343432 579613696 580799632 597041431 598310912 599535104 616300832 622954444 636181504 643028164 656703488 663771008 682333064 685182976 689699563 704343808 711947936 727064576 731857238 747396608 755465536 771506176 779809216 779835392 788228072 804964352 813654784 830930944 836408272 854167552 863389184 881721344 887533472 891240448 916163584 926023444 945717248 955895168 957851006 976191488 986730496 1014323968 1016399356 1018560512 1047044096 1049186432 1094686864 1125299287 1159227392 1161599264 1194082862 1196621824 1199070208 1232601664 1245908888 1272363008 1286056328 1299940651 1313406976 1327542016 1364666128 1370365952 1379399126 1408687616 1423895872 1454129152 1463714476 1494793216 1510931072 1543012352 1559618432 1559670784 1576456144 1609928704 1620541027 1627309568 1661861888 1672816544 1708335104 1726778368 1775066944 1782480896 1832327168 1852046888 1891434496 1911790336 1915702012 1952382976 1973460992 2028647936 2032798712 2094088192 2098372864 2120955799 2189373728 2250598574 2318454784 2323198528 2388165724 2393243648 2398140416 2465203328 2491817776 2544726016 2572112656 2599881302 2626813952 2655084032 2729332256 2740731904 2758798252 2817375232 2847791744 2908258304 2927428952 2989586432 3021862144 3054383779 3086024704 3119236864 3119341568 3152912288 3219857408 3241082054 3254619136 3345633088 3352478521 3416670208 3453556736 3550133888 3564961792 3664654336 3704093776 3782868992 3823580672 3831404024 3904765952 3946921984 4057295872 4065597424 4188176384 4196745728 4241911598 4378747456 4501197148 4636909568 4646397056 4776331448 4796280832 4827896941 4930406656 4983468271 4983635552 5089452032 5144225312 5199762604 5310168064 5458664512 5481463808 5517596504 5634750464 5695583488 5816516608 5854857904 5979172864 6043724288 6108767558 6172049408 6238473728 6238683136 6305824576 6439714816 6482164108 6509238272 6691266176 6704957042 6833340416 6907113472 7100267776 7129923584 7329308672 7408187552 7647161344 7662808048 7877095009 7893843968 8114591744 8131194848 8376352768 8393491456 8483823196 8757494912 9002394296 9099584557 9273819136 9292794112 9552662896 9592561664 9655793882 9860813312 9966936542 9967271104 10178904064 10288450624 10399525208 10620336128 10917329024 10962927616 11035193008 11269500928 11343787189 11391166976 11633033216 11709715808 11958345728 12087448576 12217535116 12476947456 12477366272 12611649152 12879429632 12964328216 13018476544 13382532352 13409914084 13666680832 13814226944 14200535552 14658617344 14816375104 14846690593 15294322688 15325616096 15754190018 15787687936 16229183488 16262389696 16752705536 16786982912 16967646392 17514989824 18004788592 18199169114 18547638272 18585588224 19105325792 19185123328 19311587764 19721626624 19933873084 19934542208 20357808128 20576901248 20799050416 21240672256 21380686453 21834658048 21925855232 22070386016 22539001856 22687574378 22782333952 23419431616 23916691456 24174897152 24435070232 24953894912 24954732544 25223298304 25758859264 25928656432 26036953088 26765064704 26819828168 27333361664 27628453888 28401071104 29317234688 29632750208 29693381186 30588645376 30651232192 31508380036 31575375872 32458366976 32524779392 33573965824 33935292784 34884277897 35029979648 36009577184 36398338228 37095276544 37171176448 38210651584 38370246656 38623175528 39443253248 39867746168 39869084416 40298160181 40715616256 41153802496 41598100832 42481344512 42761372906 43669316096 44140772032 45078003712 45375148756 45564667904 46838863232 47833382912 48349794304 48870140464 49907789824 49909465088 50446596608 51517718528 51857312864 52073906176 53530129408 53639656336 55256907776 56802142208 58634469376 59265500416 59386762372 61177290752 61302464384 63016760072 63697091899 64916733952 65049558784 65749629769 67147931648 67870585568 69768555794 70059959296 72019154368 72796676456 74190553088 74342352896 76421303168 76740493312 77246351056 78886506496 79735492336 79738168832 80596320362 81431232512 82307604992 83196201664 84962689024 85522745812 87338632192 88281544064 90156007424 90750297512 91129335808 93677726464 94685897149 95666765824 96699588608 97740280928 99815579648 100893193216 103714625728 103926834151 104147812352 107060258816 107279312672 110513815552 113604284416 117268938752 118531000832 118773524744 122354581504 122604928768 126033520144 127394183798 129833467904 130099117568 131499259538 134295863296 135741171136 139537111588 140119918592 144038308736 145593352912 148684705792 149664805171 152842606336 153480986624 154492702112 157773012992 159470984672 159476337664 161192640724 164615209984 166392403328 169925378048 171045491624 174677264384 176563088128 180312014848 181500595024 182258671616 187355452928 189371794298 191333531648 193399177216 195480561856 199631159296 201786386432 207429251456 207853668302 208295624704 214120517632 214558625344 221027631104 227208568832 237062001664 237547049488 244189945279 244709163008 245209857536 252067040288 254788367596 259666935808 260198235136 262998519076 268591726592 271482342272 279074223176 280239837184 282087121267 288076617472 291186705824 297369411584 299329610342 305685212672 308985404224 315546025984 318941969344 318952675328 322385281448 329230419968 332784806656 339850756096 342090983248 349354528768 353126176256 360624029696 363001190048 364517343232 374710905856 378743588596 386798354432 390961123712 399262318592 403572772864 414858502912 415707336604 416591249408 428241035264 429117250688 454417137664 460247408383 474124003328 475094098976 488379890558 489418326016 490419715072 504134080576 509576735192 519333871616 520396470272 525997038152 537183453184 542964684544 558148446352 560479674368 564174242534 576153234944 582373411648 594738823168 598659220684 611370425344 617970808448 631092051968 637883938688 637905350656 644770562896 658460839936 662801280043 665569613312 679701512192 684181966496 698709057536 706252352512 726002380096 729034686464 749421811712 757487177192 773596708864 781922247424 798524637184 807145545728 829717005824 831414673208 856482070528 858234501376 908834275328 920494816766 948248006656 950188197952 976759781116 978836652032 980839430144 1008268161152 1019153470384 1040792940544 1051994076304 1074366906368 1085929369088 1116296892704 1120959348736 1128348485068 1152306469888 1164746823296 1189477646336 1197318441368 1222740850688 1235941616896 1249242965611 1262184103936 1275767877376 1275810701312 1289541125792 1316921679872 1325602560086 1331139226624 1368363932992 1397418115072 1412504705024 1452004760192 1458069372928 1498843623424 1514974354384 1547193417728 1563844494848 1597049274368 1614291091456 1659434011648 1662829346416 1712964141056 1716469002752 1817668550656 1840989633532 1896496013312 1900376395904 1953519562232 1961678860288 1974609848869 2016536322304 2038238522839 2038306940768 2081585881088 2103988152608 2171858738176 2232593785408 2241918697472 2256696970136 2304612939776 2329493646592 2378955292672 2394636882736 2445481701376 2471883233792 2498485931222 2524368207872 2551535754752 2551621402624 2579082251584 2633843359744 2651205120172 2662278453248 2736727865984 2794836230144 2825009410048 2904009520384 2916138745856 2997687246848 3029948708768 3127688989696 3221731858681 3228582182912 3318868023296 3325658692832 3425928282112 3432938005504 3635337101312 3681979267064 3792992026624 3800752791808 3907039124464 3923357720576 3949219697738 4033072644608 4076477045678 4076613881536 4163171762176 4207976305216 4343717476352 4465187570816 4483837394944 4513393940272 4609225879552 4639608960301 4658987293184 4757910585344 4789273765472 4890963402752 4943766467584 4996971862444 5103071509504 5103242805248 5158164503168 5267686719488 5302410240344 5324556906496 5473455731968 5589672460288 5650018820096 5808019040768 5995374493696 6059897417536 6255377979392 6443463717362 6457164365824 6637736046592 6651317385664 6851856564224 6865876011008 7363958534128 7585984053248 7601505583616 7814078248928 7846715441152 7898439395476 8066145289216 8152954091356 8153227763072 8326343524352 8415952610432 8687434952704 8744700759277 8930375141632 8967674789888 9026787880544 9218451759104 9279217920602 9317974586368 9578547530944 9781926805504 9887532935168 9993943724888 10206143019008 10206485610496 10316329006336 10535373438976 10604820480688 10649113812992 10946911463936 11179344920576 11300037640192 11616038081536 11990748987392 12119794835072 12510755958784 12886927434724 12914328731648 13275472093184 13302634771328 13731752022016 14267669659873 14727917068256 15171968106496 15203011167232 15628156497856 15693430882304 15796878790952 16132290578432 16305908182712 16306455526144 16652687048704 16831905220864 17374869905408 17489401518554 17860750283264 18053575761088 18436903518208 18558435841204 18635949172736 19157095061888 19563853611008 19775065870336 19987887449776 20412286038016 20412971220992 20632658012672 21070746877952 21209640961376 21298227625984 21893822927872 22600075280384 23232076163072 23981497974784 24239589670144 25021511917568 25773854869448 26550944186368 26605269542656 27463504044032 28535339319746 29455834136512 30343936212992 30406022334464 31256312995712 31386861764608 31593757581904 32264581156864 32611816365424 32612911052288 33305374097408 33663810441728 34749739810816 34978803037108 35721500566528 36107151522176 36873807036416 37116871682408 37271898345472 38314190123776 38726531933941 39127707222016 39550131740672 39975774899552 40824572076032 41265316025344 42419281922752 42596455251968 43787645855744 45200150560768 46464152326144 47962995949568 48479179340288 50043023835136 51547709738896 53101888372736 53210539085312 54927008088064 57070678639492 58911668273024 60812044668928 61212905314939 62512625991424 62773723529216 63187515163808 64529162313728 65223632730848 65225822104576 67327620883456 69499479621632 69957606074216 71443001133056 72214303044352 73747614072832 74233743364816 74543796690944 76628380247552 77453063867882 78255414444032 79100263481344 79951549799104 81649144152064 82530632050688 84838563845504 85192910503936 87575291711488 90400301121536 92928304652288 96958358680576 99873687619111 100086047670272 103095419477792 106203776745472 106421078170624 109854016176128 114141357278984 117823336546048 121624089337856 122425810629878 125025251982848 126375030327616 129058324627456 130447265461696 130451644209152 134655241766912 138998959243264 139915212148432 142886002266112 144428606088704 147495228145664 148467486729632 149087593381888 153256760495104 154906127735764 158200526962688 159903099598208 163298288304128 165061264101376 169677127691008 170385821007872 175150583422976 185856609304576 193916717361152 199747375238222 200172095340544 206190838955584 212407553490944 212842156341248 219708032352256 228282714557968 235646673092096 243248178675712 244851621259756 250050503965696 252750060655232 258116649254912 260894530923392 260903288418304 269310483533824 271085723537587 277997918486528 279830424296864 285772004532224 288857212177408 296934973459264 298175186763776 306513520990208 309812255471528 316401053925376 319806199196416 326596576608256 330122528202752 339354255382016 350301166845952 371713218609152 387833434722304 399494750476444 400344190681088 412381677911168 425684312682496 439416064704512 456565429115936 471293346184192 486496357351424 489703242519512 500101007931392 505500121310464 516233298509824 521789061846784 521806576836608 538620967067648 542171447075174 559660848593728 571544009064448 577714424354816 593869946918528 596350373527552 613027041980416 619624510943056 632802107850752 639612398392832 653193153216512 660245056405504 678708510764032 700602333691904 743426437218304 775666869444608 798989500952888 824763355822336 851368625364992 913130858231872 942586692368384 972992714702848 979406485039024 1000202015862784 1011000242620928 1032466597019648 1043578123693568 1043613153673216 1077241934135296 1084342894150348 1119321697187456 1143088018128896 1155428848709632 1187739893837056 1192700747055104 1226054083960832 1239249021886112 1279224796785664 1320490112811008 1357417021528064 1401204667383808 1486852874436608 1551333738889216 1597979001905776 1649526711644672 1702737250729984 1826261716463744 1885173384736768 1897600064763109 1945985429405696 1958812970078048 2000404031725568 2022000485241856 2087156247387136 2087226307346432 2154483868270592 2168685788300696 2238643394374912 2286176036257792 2310857697419264 2375479787674112 2452108167921664 2478498043772224 2558449593571328 2640980225622016 2714834043056128 2802409334767616 3102667477778432 3195958003811552 3299053423289344 3405474501459968 3652523432927488 3770346769473536 3795200129526218 3917625940156096 4000808063451136 4044000970483712 4174312494774272 4174452614692864 4308967736541184 4337371576601392 4477286788749824 4572352072515584 4621715394838528 4750959575348224 4904216335843328 4956996087544448 5116899187142656 5281960451244032 5429668086112256 6205334955556864 6391916007623104 6598106846578688 6810949002919936 7305046865854976 7540693538947072 7590400259052436 7835251880312192 8001616126902272 8088001940967424 8348624989548544 8348905229385728 8617935473082368 8674743153202784 8954573577499648 9243430789677056 9501919150696448 9808432671686656 9913992175088896 10233798374285312 10859336172224512 12410669911113728 12783832015246208 13196213693157376 13621898005839872 14610093731709952 15081387077894144 15180800518104872 15670503760624384 16003232253804544 16176003881934848 16697249979097088 17349486306405568 17909147154999296 18486861579354112 19003838301392896 19616865343373312 19827984350177792 20467596748570624 21718672344449024 25567664030492416 26392427386314752 29220187463419904 30162774155788288 30361601036209744 31341007521248768 32006464507609088 32352007763869696 33394499958194176 34698972612811136 35818294309998592 36973723158708224 38007676602785792 39655968700355584 40935193497141248 43437344688898048 51135328060984832 52784854772629504 58440374926839808 60325548311576576 60723202072419488 62682015042497536 64704015527739392 66788999916388352 69397945225622272 71636588619997184 76015353205571584 79311937400711168 81870386994282496 86874689377796096 102270656121969664 105569709545259008 116880749853679616 121446404144838976 125364030084995072 129408031055478784 133577999832776704 138795890451244544 143273177239994368 152030706411143168 158623874801422336 163740773988564992 204541312243939328 211139419090518016 233761499707359232 242892808289677952 250728060169990144 258816062110957568 267155999665553408 277591780902489088 286546354479988736 304061412822286336 317247749602844672 409082624487878656 422278838181036032 467522999414718464 485785616579355904 501456120339980288 555183561804978176 573092708959977472 608122825644572672 634495499205689344 818165248975757312 935045998829436928 971571233158711808 1002912240679960576 1110367123609956352 1146185417919954944 1268990998411378688 1636330497951514624 1870091997658873856 1943142466317423616 2005824481359921152 2220734247219912704 2537981996822757376 3272660995903029248 3886284932634847232 4011648962719842304 4441468494439825408 5075963993645514752 6545321991806058496 7772569865269694464 8023297925439684608 8882936988879650816 13090643983612116992 15545139730539388928 17765873977759301632 31090279461078777856 35531747955518603264 62180558922157555712 124361117844315111424 248722235688630222848
- Sum of all divisors σ(n): 630959139987719961600
- Sum of proper divisors (its aliquot sum) s(n): 382236904299089738752
- 248722235688630222848 is an abundant number, because the sum of its proper divisors (382236904299089738752) is greater than itself. Its abundance is 133514668610459515904
Bases of 248722235688630222848
- Binary: 110101111011101101101110001110010010011010011100101000000000000000002
- Hexadecimal: 0xD7BB6E39269CA0000
- Base-36: 1GHOAQ4UDX49VK
Squares and roots of 248722235688630222848
- 248722235688630222848 squared (2487222356886302228482) is 61862750525950521704816834379686141231104
- 248722235688630222848 cubed (2487222356886302228483) is 15386641616662398938513590281150253179431013677712348589064192
-
The
square root of 248722235688630222848 is 15770930083.1824824515 -
The
cube root of 248722235688630222848 is 6288854.3648040875
Scales and comparisons
How big is 248722235688630222848?- 248,722,235,688,630,222,848 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 248,722,235,688,630,222,848 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 248722235688630222848 cubic inches would be around 524071.2 feet tall.
Recreational maths with 248722235688630222848
- 248722235688630222848 backwards is 848222036886532227842
- The number of decimal digits it has is: 21
- The sum of 248722235688630222848's digits is 92
- 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 248722235688630222848 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 248722235688630222848 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/248722235688630222848/
Chicago style:
Numbermatics. 2024. "Number 248722235688630222848 - Facts about the integer". https://numbermatics.com/n/248722235688630222848/
The information we have on file for 248722235688630222848 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 248722235688630222848, math, Factors of 248722235688630222848, curriculum, school, college, exams, university, Prime factorization of 248722235688630222848, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-eight quintillion, seven hundred twenty-two quadrillion, two hundred thirty-five trillion, six hundred eighty-eight billion, six hundred thirty million, two hundred twenty-two thousand, eight hundred forty-eight.