699066986540533248
699,066,986,540,533,248 is an even composite number composed of eight prime numbers multiplied together.
699066986540533248 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 699066986540533248:
29 × 3 × 11 × 292 × 71 × 281 × 521 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 29 × 29 × 71 × 281 × 521 × 4733)See below for interesting mathematical facts about the number 699066986540533248 from the Numbermatics database.
Names of 699066986540533248
- Cardinal: 699066986540533248 can be written as Six hundred ninety-nine quadrillion, sixty-six trillion, nine hundred eighty-six billion, five hundred forty million, five hundred thirty-three thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 6.99066986540533248 × 1017
Factors of 699066986540533248
Divisors of 699066986540533248
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 71 87 88 96 116 128 132 142 174 176 192 213 232 256 264 281 284 319 348 352 384 426 464 512 521 528 562 568 638 696 704 768 781 841 843 852 928 957 1042 1056 1124 1136 1276 1392 1408 1536 1562 1563 1682 1686 1704 1856 1914 2059 2084 2112 2248 2272 2343 2523 2552 2784 2816 3091 3124 3126 3364 3372 3408 3712 3828 4118 4168 4224 4496 4544 4686 4733 5046 5104 5568 5632 5731 6177 6182 6248 6252 6728 6744 6816 7424 7656 8149 8236 8336 8448 8992 9088 9251 9273 9372 9466 10092 10208 11136 11462 12354 12364 12496 12504 13456 13488 13632 14199 14848 15109 15312 16298 16472 16672 16896 17193 17984 18176 18502 18546 18744 18932 19951 20184 20416 22272 22649 22924 24447 24708 24728 24992 25008 26912 26976 27264 27753 28398 30218 30624 32596 32944 33344 34386 35968 36352 36991 37004 37092 37488 37864 39902 40368 40832 44544 45298 45327 45848 48894 49416 49456 49984 50016 52063 53824 53952 54528 55506 56796 59711 59853 60436 61248 65192 65888 66688 67947 68772 71936 73982 74008 74184 74976 75728 79804 80736 81664 89639 90596 90654 91696 97788 98832 98912 99968 100032 104126 107648 107904 109056 110973 111012 113592 119422 119706 120872 122496 130384 131776 133376 135894 137257 137544 143872 146401 147964 148016 148368 149952 151456 156189 159608 161472 163328 166199 179133 179278 181192 181308 183392 195576 197664 197824 199936 200064 208252 215296 215808 219461 221946 222024 227184 236321 238844 239412 241744 244992 260768 263552 266752 268917 271788 274514 275088 292802 295928 296032 296736 299904 302912 312378 319216 322944 332398 336043 358266 358556 362384 362616 366784 391152 395328 395648 399872 400128 406901 411771 416504 430592 431616 438161 438922 439203 443892 444048 454368 472642 477688 478824 483488 489984 498597 521536 527104 537834 543576 549028 550176 578579 585604 591856 592064 593472 599808 605824 624756 638432 645888 656821 658383 664796 672086 708963 716532 717112 724768 725232 733568 782304 790656 791296 800256 813802 823542 833008 876322 877844 878406 887784 888096 908736 945284 955376 957648 966976 997194 1008129 1043072 1054208 1072739 1075668 1087152 1098056 1100352 1157158 1171208 1183712 1184128 1186944 1199616 1211648 1220703 1249512 1276864 1291776 1313642 1314483 1316766 1329592 1329973 1344172 1417926 1433064 1434224 1449536 1450464 1467136 1509827 1564608 1581312 1582592 1610411 1627604 1647084 1666016 1735737 1752644 1755688 1756812 1775568 1776192 1817472 1890568 1910752 1915296 1933952 1970463 1994388 2016258 2086144 2145478 2151336 2174304 2196112 2200704 2314316 2342416 2367424 2368256 2373888 2423296 2441406 2465893 2499024 2553728 2599531 2627284 2628966 2633532 2659184 2659946 2688344 2835852 2866128 2868448 2899072 2900928 2934272 3019654 3129216 3162624 3218217 3220822 3255208 3294168 3332032 3471474 3505288 3511376 3513624 3551136 3552384 3634944 3696473 3781136 3821504 3830592 3867904 3940926 3980453 3988776 3989919 4032516 4172288 4245629 4290956 4302672 4348608 4392224 4401408 4529481 4628632 4684832 4734848 4736512 4747776 4819771 4831233 4882812 4931786 4998048 5107456 5199062 5254568 5257932 5267064 5318368 5319892 5376688 5671704 5732256 5736896 5798144 5801856 6039308 6258432 6364369 6436434 6441644 6510416 6588336 6664064 6942948 7010576 7022752 7027248 7102272 7104768 7269888 7392946 7397679 7562272 7643008 7661184 7735808 7798593 7881852 7960906 7977552 7979838 8065032 8491258 8581912 8605344 8697216 8784448 8802816 9058962 9257264 9369664 9469696 9639542 9662466 9745247 9765624 9863572 9996096 10214912 10394471 10398124 10509136 10515864 10534128 10636736 10639784 10753376 11089419 11343408 11464512 11473792 11596288 11603712 11800129 11941359 12078616 12516864 12728738 12736887 12872868 12883288 13020832 13176672 13328128 13885896 14021152 14045504 14054496 14204544 14209536 14459313 14629703 14785892 14795358 15124544 15286016 15322368 15597186 15763704 15921812 15955104 15959676 16130064 16778791 16982516 17163824 17210688 17394432 17568896 18117924 18514528 18739328 18939392 19093107 19279084 19324932 19490494 19531248 19727144 19992192 20788942 20796248 21018272 21031728 21068256 21273472 21279568 21506752 22178838 22686816 22929024 22947584 23207424 23600258 23882718 24157232 25457476 25473774 25745736 25766576 26041664 26353344 26656256 27124823 27771792 28042304 28091008 28108992 28409088 28918626 29235741 29259406 29571784 29590716 30249088 30572032 30644736 31109431 31183413 31194372 31527408 31843624 31910208 31919352 32260128 33557582 33965032 34327648 34421376 34788864 35137792 35400387 36235848 37029056 37478656 38186214 38558168 38569217 38649864 38980988 39062496 39454288 39984384 41577884 41592496 42036544 42063456 42136512 42546944 42559136 43013504 43784983 43889109 44357676 45373632 45858048 45895168 46701919 47200516 47765436 48314464 50336373 50914952 50947548 51491472 51533152 52083328 52706688 54249646 55543584 56084608 56182016 56217984 56818176 57837252 58471482 58518812 59143568 59181432 60498176 62218862 62366826 62388744 63054816 63687248 63820416 63838704 64520256 67115164 67930064 68655296 68842752 70275584 70800774 71510897 72471696 74058112 74957312 76372428 77116336 77138434 77299728 77961976 78124992 78908576 79968768 81374469 83155768 83184992 84073088 84126912 84273024 85093888 85118272 86027008 87569966 87778218 88715352 90747264 91716096 93328293 93403838 94401032 94428083 95530872 96628928 100672746 101829904 101895096 102982944 103066304 104166656 105413376 107197717 108499292 111087168 112169216 112364032 112435968 114339181 115674504 115707651 116942964 117037624 118287136 118362864 120996352 123123241 124437724 124733652 124777488 126109632 127374496 127640832 127677408 129040512 131354949 134230328 135860128 137310592 137685504 140105757 141601548 143021794 144943392 148116224 152744856 154232672 154276868 154599456 155923952 156249984 157817152 162748938 166311536 166369984 168146176 168253824 168546048 170236544 172054016 175078403 175139932 175556436 177430704 181494528 184566701 186656586 186807676 188802064 188856166 191061744 193257856 201345492 203659808 203790192 205965888 206132608 208333312 210826752 214395434 214532691 216998584 222174336 224338432 224871936 228678362 231349008 231415302 233885928 234075248 236574272 236725728 246246482 248875448 249467304 249554976 252219264 254748992 255281664 255354816 258081024 262709898 268460656 271720256 274621184 280211514 282612163 283203096 283284249 286043588 289886784 296232448 301439659 305489712 308465344 308553736 309198912 311847904 312499968 315634304 321593151 325497876 332623072 332739968 336292352 336507648 337092096 340473088 342203741 343017543 350156806 350279864 351112872 354861408 362989056 369133402 369369723 373313172 373615352 377604128 377712332 382123488 386515712 402690984 407319616 407580384 411931776 412265216 424261387 428790868 429065382 433997168 444348672 457356724 462698016 462830604 467771856 468150496 473148544 473451456 492492964 497750896 498934608 499109952 504438528 509497984 510709632 516162048 525235209 525419796 536921312 543440512 549242368 553700103 560423028 565224326 566406192 566568498 572087176 579773568 602879318 610979424 616930688 617107472 618397824 623695808 624999936 631268608 643186302 650995752 665246144 665479936 673015296 680946176 684407482 686035086 692915933 700313612 700559728 702225744 709722816 738266804 738739446 746626344 747230704 755208256 755424664 764246976 773031424 786619867 805381968 814639232 815160768 823863552 824530432 847836489 848522774 857581736 858130764 867994336 888697344 904318977 914713448 925396032 925661208 935543712 936300992 946297088 946902912 984985928 995501792 997869216 998219904 1008877056 1018995968 1021419264 1026611223 1038708913 1050470418 1050839592 1073842624 1086881024 1107400206 1118507293 1120846056 1130448652 1132812384 1133136996 1144174352 1159547136 1205758636 1221958848 1233861376 1234214944 1236795648 1247391616 1262537216 1272784161 1286372604 1301991504 1330492288 1330959872 1354355651 1368814964 1372070172 1385831866 1400627224 1401119456 1404451488 1419445632 1476533608 1477478892 1493252688 1494461408 1510416512 1510849328 1528493952 1573239734 1610763936 1629278464 1630321536 1647727104 1695672978 1697045548 1715163472 1716261528 1735988672 1808637954 1829426896 1850792064 1851322416 1871087424 1872601984 1892594176 1893805824 1925862433 1969971856 1991003584 1995738432 1996439808 2037991936 2042838528 2053222446 2073816013 2077417826 2078747799 2100940836 2101679184 2147685248 2173762048 2214800412 2237014586 2241692112 2260897304 2265624768 2266273992 2288348704 2319094272 2359859601 2411517272 2443917696 2467722752 2468429888 2473591296 2494783232 2545568322 2572745208 2603983008 2660984576 2708711302 2737629928 2738414407 2744140344 2771663732 2801254448 2802238912 2808902976 2838891264 2953067216 2954957784 2986505376 2988922816 3020833024 3021698656 3056987904 3108733793 3116126739 3146479468 3221527872 3258556928 3260643072 3315836249 3355521879 3391345956 3394091096 3430326944 3432523056 3471977344 3617275908 3658853792 3701584128 3702644832 3742174848 3745203968 3787611648 3851724866 3939943712 3982007168 3991476864 3992879616 4063066953 4106444892 4147632026 4154835652 4157495598 4201881672 4203358368 4295370496 4429600824 4474029172 4483384224 4521794608 4531249536 4532547984 4576697408 4719719202 4823034544 4887835392 4936859776 4989566464 5077273687 5091136644 5145490416 5207966016 5321969152 5417422604 5475259856 5476828814 5488280688 5543327464 5602508896 5604477824 5617805952 5677782528 5777587299 5906134432 5909915568 5973010752 5977845632 6041666048 6043397312 6113975808 6217467586 6221448039 6232253478 6292958936 6443055744 6521286144 6631672498 6711043758 6782691912 6788182192 6860653888 6865046112 6943954688 7234551816 7317707584 7403168256 7405289664 7484349696 7490407936 7622075263 7703449732 7879887424 7964014336 7982953728 8126133906 8212889784 8215243221 8295264052 8309671304 8314991196 8403763344 8406716736 8590740992 8741750111 8859201648 8948058344 8966768448 9043589216 9062499072 9065095968 9153394816 9326201379 9439438404 9646069088 9775670784 9873719552 9947508747 10154547374 10182273288 10290980832 10415932032 10834845208 10950519712 10953657628 10976561376 11086654928 11205017792 11208955648 11235611904 11555174598 11812268864 11819831136 11946021504 11955691264 12086794624 12303580223 12434935172 12442896078 12464506956 12585917872 12886111488 13263344996 13422087516 13565383824 13576364384 13721307776 13730092224 13887909376 14469103632 14635415168 14810579328 14968699392 15231821061 15244150526 15406899464 15759774848 15928028672 15965907456 16252267812 16425779568 16430486442 16590528104 16619342608 16629982392 16807526688 16813433472 17483500222 17718403296 17896116688 17933536896 18087178432 18124998144 18130191936 18306789632 18652402758 18878876808 19292138176 19747439104 19895017494 20094562057 20309094748 20364546576 20581961664 20831864064 21669690416 21901039424 21907315256 21953122752 22173309856 22410035584 22417911296 22471223808 22811976143 22866225789 23110349196 23624537728 23639662272 23892043008 23911382528 24173589248 24607160446 24869870344 24885792156 24929013912 25171835744 25772222976 26225250333 26526689992 26844175032 27130767648 27152728768 27442615552 27460184448 28938207264 29270830336 29621158656 30122558477 30463642122 30488301052 30813798928 31519549696 32504535624 32851559136 32860972884 33181056208 33238685216 33259964784 33615053376 33626866944 34967000444 35436806592 35792233376 35867073792 36174356864 36260383872 36613579264 36910740669 37304805516 37757753616 38584276352 39790034988 40189124114 40618189496 40729093152 41163923328 41663728128 43339380832 43802078848 43814630512 43906245504 44346619712 44820071168 45623952286 45732451578 46220698392 47249075456 47279324544 47784086016 48347178496 49197031243 49214320892 49739740688 49771584312 49858027824 50343671488 52450500666 53053379984 53688350064 54261535296 54305457536 54885231104 54920368896 55850010557 57876414528 58541660672 59242317312 60245116954 60283686171 60927284244 60976602104 61627597856 63039099392 65009071248 65703118272 65721945768 66362112416 66477370432 66519929568 67230106752 67253733888 68435928429 69934000888 70873613184 71584466752 71734147584 72348713728 72520767744 73821481338 74609611032 75515507232 77168552704 79414017803 79580069976 80378248228 81236378992 81458186304 82327846656 86678761664 87604157696 87629261024 87812491008 88693239424 89640142336 90367675431 91247904572 91464903156 92441396784 94498150912 94558649088 96159251221 98394062486 98428641784 99479481376 99543168624 99716055648 100687342976 104901001332 106106759968 107376700128 108523070592 108610915072 109840737792 111700021114 115752829056 120490233908 120567372342 121854568488 121953204208 123255195712 130018142496 131406236544 131443891536 132724224832 132954740864 133039859136 134460213504 136871856858 139868001776 141747226368 143168933504 144697427456 145041535488 147240936923 147591093729 147642962676 149219222064 151031014464 154337105408 158828035606 159160139952 160756496456 162472757984 162916372608 164655693312 167550031671 173357523328 175208315392 175258522048 175624982016 177386478848 180735350862 182495809144 182929806312 184882793568 189117298176 192318502442 196788124972 196857283568 198958962752 199086337248 199432111296 201374685952 209802002664 212213519936 214753400256 217046141184 217221830144 221040182627 223400042228 231505658112 238242053409 240980467816 241134744684 243709136976 243906408416 246510391424 260036284992 262812473088 262887783072 265448449664 265909481728 266079718272 268920427008 273743713716 279736003552 283494452736 286337867008 288477753663 294481873846 295182187458 295285925352 298438444128 302062028928 317656071212 318320279904 321512992912 324945515968 325832745216 335100063342 346715046656 350517044096 354772957696 361470701724 364991618288 365859612624 369765587136 384637004884 393576249944 393714567136 397917925504 398172674496 398864222592 402749371904 419604005328 424427039872 429506800512 434092282368 441722810769 442080365254 446800084456 463011316224 476484106818 481960935632 482269489368 487418273952 487812816832 493020782848 520072569984 525624946176 525775566144 530896899328 531818963456 532159436544 541167343673 547487427432 559472007104 572675734016 576955507326 582742299653 588963747692 590364374916 590571850704 596876888256 604124057856 635312142424 636640559808 643025985824 649891031936 651665490432 663120547881 670200126684 693430093312 701034088192 722941403448 729983236576 731719225248 739531174272 769274009768 787152499888 787429134272 795835851008 796345348992 797728445184 839208010656 848854079744 859013601024 873554195833 883445621538 884160730508 893600168912 952968213636 963921871264 964538978736 974836547904 975625633664 986041565696 1040145139968 1051551132288 1061793798656 1064318873088 1082334687346 1094974854864 1118944014208 1153911014652 1165484599306 1177927495384 1180728749832 1181143701408 1193753776512 1208248115712 1270624284848 1273281119616 1286051971648 1299782063872 1326241095762 1340400253368 1402068176384 1426713906047 1445882806896 1459966473152 1463438450496 1479062348544 1538548019536 1574304999776 1574858268544 1591671702016 1592690697984 1595456890368 1619650306153 1623502031019 1678416021312 1697708159488 1718027202048 1747108391666 1748226898959 1766891243076 1768321461016 1787200337824 1905936427272 1927843742528 1929077957472 1949673095808 1951251267328 2080290279936 2103102264576 2164669374692 2189949709728 2237888028416 2307822029304 2330969198612 2355854990768 2361457499664 2362287402816 2387507553024 2541248569696 2546562239232 2572103943296 2599564127744 2620662587499 2652482191524 2680800506736 2853427812094 2891765613792 2919932946304 2926876900992 2958124697088 3077096039072 3148609999552 3149716537088 3185381395968 3239300612306 3247004062038 3356832042624 3494216783332 3496453797918 3533782486152 3536642922032 3574400675648 3811872854544 3855687485056 3858155914944 3899346191616 3902502534656 4206204529152 4280141718141 4329338749384 4379899419456 4475776056832 4615644058608 4661938397224 4711709981536 4722914999328 4724574805632 4775015106048 4858950918459 5082497139392 5093124478464 5144207886592 5241325174998 5304964383048 5361601013472 5706855624188 5783531227584 5839865892608 5853753801984 6154192078144 6297219999104 6299433074176 6410165296183 6478601224612 6494008124076 6713664085248 6988433566664 6992907595836 7067564972304 7073285844064 7148801351296 7623745709088 7711374970112 7716311829888 7798692383232 8560283436282 8658677498768 8759798838912 9231288117216 9323876794448 9423419963072 9445829998656 9449149611264 9717901836918 10164994278784 10288415773184 10482650349996 10609928766096 10723202026944 11413711248376 11567062455168 11679731785216 11707507603968 12308384156288 12594439998208 12820330592366 12957202449224 12988016248152 13427328170496 13976867133328 13985815191672 14135129944608 14146571688128 14297602702592 15247491418176 15422749940224 15432623659776 15693852966517 17120566872564 17317354997536 17519597677824 18462576234432 18647753588896 18846839926144 18891659997312 18898299222528 19230495888549 19435803673836 20329988557568 20965300699992 21219857532192 21446404053888 22827422496752 23134124910336 24616768312576 25188879996416 25640661184732 25914404898448 25976032496304 27953734266656 27971630383344 28270259889216 28293143376256 28595205405184 30494982836352 30865247319552 31387705933034 34241133745128 34634709995072 35039195355648 36925152468864 37295507177792 37693679852288 37783319994624 38460991777098 38871607347672 40659977115136 41374703275363 41930601399984 42439715064384 42892808107776 45654844993504 46268249820672 47081558899551 49233536625152 51281322369464 51828809796896 51952064992608 55907468533312 55943260766688 56540519778432 56586286752512 60989965672704 62775411866068 68482267490256 69269419990144 73850304937728 74591014355584 75387359704576 75566639989248 76921983554196 77743214695344 82749406550726 83861202799968 84879430128768 85785616215552 91309689987008 94163117799102 102562644738928 103657619593792 103904129985216 111814937066624 111886521533376 113081039556864 113172573505024 121979931345408 124124109826089 125550823732136 136964534980512 138538839980288 147700609875456 149182028711168 153843967108392 155486429390688 165498813101452 167722405599936 169758860257536 182619379974016 188326235598204 205125289477856 207315239187584 207808259970432 223629874133248 223773043066752 226162079113728 248248219652178 251101647464272 273929069961024 277077679960576 298364057422336 307687934216784 310972858781376 330997626202904 335444811199872 339517720515072 365238759948032 376652471196408 410250578955712 414630478375168 415616519940864 447259748266496 447546086133504 455121736028993 496496439304356 502203294928544 547858139922048 615375868433568 621945717562752 661995252405808 670889622399744 730477519896064 753304942392816 820501157911424 829260956750336 831233039881728 895092172267008 910243472057986 992992878608712 1004406589857088 1095716279844096 1230751736867136 1243891435125504 1323990504811616 1341779244799488 1365365208086979 1506609884785632 1641002315822848 1820486944115972 1985985757217424 2008813179714176 2191432559688192 2461503473734272 2487782870251008 2647981009623232 2730730416173958 3013219769571264 3282004631645696 3640973888231944 3971971514434848 4017626359428352 4923006947468544 5295962019246464 5461460832347916 6026439539142528 7281947776463888 7943943028869696 8035252718856704 9846013894937088 10591924038492928 10922921664695832 12052879078285056 14563895552927776 15887886057739392 21183848076985856 21845843329391664 24105758156570112 29127791105855552 31775772115478784 43691686658783328 58255582211711104 63551544230957568 87383373317566656 116511164423422208 174766746635133312 233022328846844416 349533493270266624 699066986540533248
- Sum of all divisors σ(n): 2145929190725219328
- Sum of proper divisors (its aliquot sum) s(n): 1446862204184686080
- 699066986540533248 is an abundant number, because the sum of its proper divisors (1446862204184686080) is greater than itself. Its abundance is 747795217644152832
Bases of 699066986540533248
- Binary: 1001101100111001010110111000011011101111001110000110000000002
- Hexadecimal: 0x9B395B86EF38600
- Base-36: 5B7AKC4RIL1C
Squares and roots of 699066986540533248
- 699066986540533248 squared (6990669865405332482) is 488694651670862093316477248193429504
- 699066986540533248 cubed (6990669865405332483) is 341630297482025134944280208292589247248851526056148992
-
The
square root of 699066986540533248 is 836102258.4232943261 -
The
cube root of 699066986540533248 is 887509.3375900073
Scales and comparisons
How big is 699066986540533248?- 699,066,986,540,533,248 seconds is equal to 22,228,167,815 years, 42 weeks, 5 days, 21 hours, 48 seconds.
-
To count from 1 to 699,066,986,540,533,248 would take you about sixty-six billion, six hundred eighty-four million, five hundred three thousand, four hundred forty-seven 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 699066986540533248 cubic inches would be around 73959.1 feet tall.
Recreational maths with 699066986540533248
- 699066986540533248 backwards is 842335045689660996
- The number of decimal digits it has is: 18
- The sum of 699066986540533248's digits is 93
- 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 699066986540533248 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 699066986540533248 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/699066986540533248/
Chicago style:
Numbermatics. 2024. "Number 699066986540533248 - Facts about the integer". https://numbermatics.com/n/699066986540533248/
The information we have on file for 699066986540533248 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 699066986540533248, math, Factors of 699066986540533248, curriculum, school, college, exams, university, Prime factorization of 699066986540533248, STEM, science, technology, engineering, physics, economics, calculator, six hundred ninety-nine quadrillion, sixty-six trillion, nine hundred eighty-six billion, five hundred forty million, five hundred thirty-three thousand, two hundred forty-eight.