108461913848730624
108,461,913,848,730,624 is an even composite number composed of six prime numbers multiplied together.
108461913848730624 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 108461913848730624:
210 × 3 × 7 × 134 × 972 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 13 × 97 × 97 × 137 × 137)See below for interesting mathematical facts about the number 108461913848730624 from the Numbermatics database.
Names of 108461913848730624
- Cardinal: 108461913848730624 can be written as One hundred eight quadrillion, four hundred sixty-one trillion, nine hundred thirteen billion, eight hundred forty-eight million, seven hundred thirty thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.08461913848730624 × 1017
Factors of 108461913848730624
Divisors of 108461913848730624
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 97 104 112 128 137 156 168 169 182 192 194 208 224 256 273 274 291 312 336 338 364 384 388 411 416 448 507 512 546 548 582 624 672 676 679 728 768 776 822 832 896 959 1014 1024 1092 1096 1164 1183 1248 1261 1344 1352 1358 1456 1536 1552 1644 1664 1781 1792 1918 2028 2037 2184 2192 2197 2328 2366 2496 2522 2688 2704 2716 2877 2912 3072 3104 3288 3328 3549 3562 3584 3783 3836 4056 4074 4368 4384 4394 4656 4732 4992 5044 5343 5376 5408 5432 5754 5824 6208 6576 6591 6656 7098 7124 7168 7566 7672 8112 8148 8736 8768 8788 8827 9312 9409 9464 9984 10088 10686 10752 10816 10864 11508 11648 12416 12467 13152 13182 13289 13312 14196 14248 15132 15344 15379 16224 16296 16393 17472 17536 17576 17654 18624 18769 18818 18928 19968 20176 21372 21504 21632 21728 23016 23153 23296 24832 24934 26304 26364 26481 26578 28227 28392 28496 28561 30264 30688 30758 32448 32592 32786 34944 35072 35152 35308 37248 37401 37538 37636 37856 39867 39936 40352 42744 43264 43456 46032 46137 46306 46592 49179 49664 49868 52608 52728 52962 53156 56307 56454 56784 56992 57122 60528 61376 61516 64896 65184 65572 65863 69459 69888 70144 70304 70616 74496 74802 75076 75272 75712 79734 80704 85488 85683 86528 86912 92064 92274 92612 93023 93184 98358 99328 99736 105216 105456 105924 106312 112614 112908 113568 113984 114244 114751 121056 122317 122752 123032 129792 130368 131144 131383 131726 138918 139776 140288 140608 141232 148992 149604 150152 150544 151424 159468 161408 162071 170976 171366 172757 173056 173824 184128 184548 185224 186046 196716 197589 199472 199927 210432 210912 211848 212624 213109 225228 225816 227136 227968 228488 229502 242112 243997 244634 245504 246064 259584 260736 262288 262766 263452 277836 279069 279552 281216 282464 297984 299208 300304 300989 301088 302848 318936 322816 324142 341952 342732 344253 345514 347648 366951 368256 369096 370448 372092 393432 394149 395178 398944 399854 420864 421824 423696 425248 426218 450456 451632 454272 455936 456976 459004 484224 486213 487994 489268 491008 492128 518271 519168 521472 524576 525532 526904 555672 558138 562432 564928 598416 599781 600608 601978 602176 605696 637872 639327 645632 648284 683904 685464 688506 691028 695296 731991 733902 736512 738192 740896 744184 786864 788298 790356 797888 799708 843648 847392 850496 852436 856219 900912 902967 903264 908544 911872 913952 918008 968448 972426 975988 978536 982016 984256 1036542 1042944 1049152 1051064 1053808 1111344 1116276 1124864 1129856 1196832 1199562 1201216 1203956 1204352 1209299 1211392 1275744 1278654 1289033 1291264 1296568 1367808 1370928 1377012 1382056 1463982 1467804 1473024 1476384 1481792 1488368 1491763 1573728 1576596 1580712 1590121 1595776 1599416 1687296 1694784 1700992 1704872 1707979 1712438 1801824 1805934 1806528 1817088 1820593 1823744 1827904 1836016 1936896 1944852 1951976 1957072 1968512 2073084 2085888 2098304 2102128 2106923 2107616 2222688 2232552 2245841 2249728 2259712 2393664 2399124 2402432 2407912 2408704 2418598 2551488 2557308 2568657 2578066 2593136 2735616 2741856 2754024 2764112 2770417 2927964 2935608 2946048 2952768 2963584 2976736 2983526 3147456 3153192 3161424 3171961 3180242 3191552 3198832 3374592 3389568 3401984 3409744 3415958 3424876 3603648 3611868 3613056 3627897 3634176 3641186 3655808 3672032 3867099 3873792 3889704 3903952 3912857 3914144 3937024 4146168 4196608 4204256 4213846 4215232 4445376 4465104 4475289 4491682 4519424 4770363 4787328 4798248 4804864 4815824 4817408 4837196 5102976 5114616 5123937 5137314 5156132 5186272 5461779 5471232 5483712 5508048 5528224 5540834 5855928 5871216 5905536 5927168 5953472 5967052 6294912 6306384 6320769 6322848 6343922 6360484 6383104 6397664 6737523 6749184 6779136 6803968 6819488 6831916 6849752 7207296 7223736 7226112 7255794 7282372 7311616 7344064 7734198 7779408 7807904 7825714 7828288 7874048 8292336 8311251 8393216 8408512 8427692 8430464 8890752 8930208 8950578 8983364 9023231 9038848 9515883 9540726 9574656 9596496 9609728 9631648 9634816 9674392 10205952 10229232 10247874 10274628 10312264 10372544 10923558 10967424 11016096 11056448 11081668 11130847 11711856 11738571 11742432 11811072 11854336 11906944 11934104 12589824 12612768 12641538 12645696 12687844 12720968 12744151 12766208 12795328 13475046 13558272 13607936 13638976 13663832 13699504 14414592 14447472 14452224 14511588 14564744 14623232 14688128 15468396 15558816 15615808 15651428 15656576 15720887 15748096 16584672 16622502 16757429 16786432 16817024 16855384 16860928 17781504 17860416 17901156 17966728 18046462 19031766 19081452 19149312 19192992 19219456 19263296 19348784 19392919 20411904 20458464 20495748 20549256 20624528 20671573 20745088 21847116 21934848 22032192 22112896 22163336 22203727 22261694 23423712 23477142 23484864 23622144 23667709 23708672 23813888 23868208 25179648 25225536 25283076 25291392 25375688 25441936 25488302 25590656 26950092 27069693 27116544 27277952 27327664 27389999 27399008 28829184 28894944 28904448 29023176 29129488 29195933 29246464 29376256 30936792 31117632 31231616 31302856 31313152 31441774 33169344 33245004 33392541 33514858 33634048 33710768 33721856 35563008 35720832 35802312 35933456 36092924 38063532 38162904 38232453 38298624 38385984 38526592 38697568 38785838 40823808 40916928 40991496 41098512 41235493 41249056 41343146 41490176 43694232 43869696 44064384 44225792 44326672 44407454 44523388 46847424 46954284 46969728 47162661 47244288 47335418 47627776 47736416 50272287 50359296 50451072 50566152 50582784 50751376 50883872 50976604 51181312 53900184 54139386 54555904 54655328 54779998 54798016 57658368 57789888 58046352 58178757 58258976 58391866 58752512 61873584 62014719 62235264 62463232 62605712 62626304 62883548 66338688 66490008 66611181 66785082 67029716 67268096 67421536 67443712 71003127 71126016 71441664 71604624 71866912 72185848 76127064 76325808 76464906 76771968 77053184 77395136 77571676 81833856 81982992 82169997 82197024 82470986 82498112 82686292 82980352 87388464 87587799 87739392 88128768 88451584 88653344 88814908 89046776 93694848 93908568 93939456 94325322 94670836 95255552 95472832 100544574 100902144 101132304 101165568 101502752 101767744 101953208 102362624 107800368 108278772 109111808 109310656 109559996 109596032 115579776 116092704 116357514 116517952 116783732 117302003 117505024 123706479 123747168 124029438 124470528 124926464 125211424 125252608 125767096 132677376 132980016 133222362 133570164 134059432 134536192 134843072 142006254 142883328 143209248 143733824 144371696 144701011 152254128 152651616 152929812 153543936 154106368 154790272 155143352 163667712 163965984 164339994 164394048 164941972 164996224 165372584 165673963 165960704 174776928 175175598 176257536 176597521 176903168 177306688 177629816 178093552 187389696 187817136 187878912 188650644 189341672 190945664 201089148 201804288 202264608 202331136 203005504 203535488 203906416 204371531 204725248 215600736 216557544 217846577 218223616 218621312 219119992 219192064 231159552 232185408 232715028 233035904 233567464 234604006 247412958 247494336 248058876 248941056 249852928 250422848 251534192 265354752 265960032 266444724 267140328 268118864 268730449 269686144 284012508 285766656 286418496 287467648 288648451 288743392 289402022 304508256 305303232 305859624 307087872 307680217 308212736 309580544 310286704 327335424 327931968 328679988 328788096 329883944 329992448 330745168 331347926 349553856 350351196 351906009 352515072 353195042 354613376 355259632 356187104 374779392 375634272 375757824 377301288 378683344 379547129 381891328 402178296 403608576 404529216 406011008 407070976 407812832 408743062 431201472 433115088 434103033 435693154 437242624 438239984 438384128 462319104 464370816 465430056 466071808 467134928 469208012 494825916 494988672 496117752 497021889 497882112 500845696 503068384 529792563 530709504 531920064 532889448 534280656 536061409 536237728 537460898 539372288 568025016 572836992 574935296 577296902 577486784 578804044 609016512 610606464 611719248 613114593 614175744 615360434 619161088 620573408 653539731 654670848 655863936 657359976 657576192 659767888 659984896 661490336 662695852 699107712 700702392 703812018 706390084 709226752 710519264 712374208 749558784 751268544 754602576 757366688 759094258 763782656 804356592 806191347 809058432 812022016 814141952 815625664 817486124 862402944 865945353 866230176 868206066 871386308 874485248 876479968 876768256 923040651 924638208 928741632 930860112 932143616 934269856 938416024 989651832 989977344 992235504 994043778 1001691392 1006136768 1059585126 1063840128 1065778896 1068561312 1072122818 1072475456 1074921796 1078744576 1136050032 1138641387 1145673984 1149870592 1154593804 1154973568 1157608088 1218033024 1221212928 1223438496 1226229186 1230720868 1236182647 1238322176 1241146816 1307079462 1311727872 1314719952 1315152384 1319535776 1319969792 1322980672 1325391704 1398215424 1401404784 1407624036 1412780168 1418453504 1421038528 1424748416 1502537088 1509205152 1514733376 1518188516 1524926039 1527565312 1608184227 1608713184 1612382694 1618116864 1624044032 1628283904 1631251328 1634972248 1724805888 1731890706 1732460352 1736412132 1742772616 1748970496 1752959936 1846081302 1857483264 1861720224 1864287232 1868539712 1876832048 1881113143 1979303664 1979954688 1984471008 1988087556 2003382784 2012273536 2119170252 2127680256 2131557792 2137122624 2144245636 2144950912 2149843592 2153761519 2157489152 2272100064 2277282774 2291347968 2295767773 2299741184 2309187608 2309947136 2315216176 2436066048 2442425856 2446876992 2452458372 2461441736 2472365294 2482293632 2614158924 2623455744 2629439904 2630304768 2639071552 2645961344 2650783408 2656829903 2796430848 2802809568 2815248072 2825560336 2832005501 2836907008 2842077056 2849496832 3005074176 3018410304 3029466752 3036377032 3049852078 3216368454 3217426368 3224765388 3236233728 3248088064 3262502656 3269944496 3449611776 3463781412 3464920704 3472824264 3485545232 3505919872 3692162604 3708547941 3714966528 3723440448 3737079424 3752429863 3753664096 3762226286 3958607328 3959909376 3968942016 3976175112 3999842821 4006765568 4024547072 4238340504 4255360512 4263115584 4274245248 4288491272 4289901824 4299687184 4307523038 4544200128 4554565548 4574778117 4582695936 4591535546 4618375216 4619894272 4630432352 4872132096 4884851712 4893753984 4904916744 4922883472 4944730588 4964587264 5228317848 5246911488 5258879808 5278143104 5291922688 5301566816 5313659806 5592861696 5605619136 5630496144 5643339429 5651120672 5664011002 5684154112 5698993664 6010148352 6036820608 6058933504 6072754064 6099704156 6432736908 6434852736 6449530776 6461284557 6472467456 6525005312 6539888992 6887303319 6899223552 6927562824 6929841408 6945648528 6971090464 7011839744 7384325208 7417095882 7446880896 7474158848 7504859726 7507328192 7524452572 7917214656 7937884032 7952350224 7970489709 7999685642 8049094144 8476681008 8496016503 8510721024 8526231168 8548490496 8576982544 8579803648 8599374368 8615046076 9088400256 9109131096 9149556234 9183071092 9236750432 9239788544 9260864704 9744264192 9787507968 9809833488 9845766944 9889461176 9929174528 10456635696 10517759616 10556286208 10583845376 10603133632 10627319612 11211238272 11257289589 11260992288 11286678858 11302241344 11328022004 11368308224 11397987328 11999528463 12020296704 12073641216 12117867008 12145508128 12199408312 12865473816 12869705472 12899061552 12922569114 13050010624 13079777984 13774606638 13855125648 13859682816 13891297056 13942180928 14023679488 14768650416 14834191764 14893761792 14948317696 15009719452 15014656384 15048905144 15834429312 15875768064 15904700448 15940979418 15999371284 16070374411 16098188288 16953362016 16992033006 17052462336 17096980992 17153965088 17159607296 17198748736 17230092152 18176800512 18218262192 18299112468 18366142184 18473500864 18521729408 19575015936 19619666976 19691533888 19778922352 19824038507 19858349056 20913271392 21035519232 21112572416 21167690752 21206267264 21254639224 22422476544 22514579178 22521984576 22573357716 22604482688 22656044008 22736616448 23999056926 24147282432 24235734016 24291016256 24398816624 25730947632 25739410944 25798123104 25845138228 26159555968 27549213276 27710251296 27719365632 27782594112 27884361856 27998899747 28047358976 29537300832 29668383528 29787523584 29844981049 29896635392 30019438904 30029312768 30097810288 31668858624 31751536128 31809400896 31881958836 31998742568 32140748822 33906724032 33984066012 34104924672 34193961984 34307930176 34397497472 34460184304 36353601024 36436524384 36598224936 36732284368 36816071513 36947001728 37043458816 39150031872 39239333952 39383067776 39557844704 39648077014 41826542784 42071038464 42225144832 42412534528 42509278448 44844953088 45029158356 45043969152 45146715432 45208965376 45312088016 47998113852 48211123233 48294564864 48582032512 48797633248 51461895264 51478821888 51596246208 51690276456 51997956673 52319111936 55098426552 55420502592 55565188224 55768723712 55997799494 59074601664 59336767056 59472115521 59575047168 59689962098 60038877808 60058625536 60195620576 63337717248 63503072256 63618801792 63763917672 63997485136 64281497644 67813448064 67968132024 68209849344 68615860352 68794994944 68920368608 72707202048 72873048768 73196449872 73464568736 73632143026 73894003456 74086917632 78478667904 78766135552 79115689408 79296154028 83653085568 83996699241 84142076928 84825069056 85018556896 89534943147 89689906176 90058316712 90087938304 90293430864 90417930752 90624176032 95996227704 96422246466 97164065024 97595266496 102923790528 103192492416 103380552912 103995913346 104638223872 110196853104 110448214539 110841005184 111130376448 111537447424 111995598988 118149203328 118673534112 118944231042 119379924196 120077755616 120117251072 120391241152 126675434496 127237603584 127527835344 127994970272 128562995288 135626896128 135936264048 137231720704 137589989888 137840737216 145746097536 146392899744 146929137472 147264286052 147788006912 148173835264 155993870019 156957335808 157532271104 158231378816 158592308056 167306171136 167993398482 169650138112 170037113792 179069886294 180116633424 180175876608 180586861728 180835861504 181248352064 191992455408 192844492932 194328130048 195190532992 205847581056 206384984832 206761105824 207991826692 208914867343 209276447744 220393706208 220896429078 221682010368 222260752896 223074894848 223991197976 236298406656 237347068224 237888462084 238759848392 240155511232 240782482304 254475207168 255055670688 255989940544 257125990576 257712500591 271253792256 271872528096 274463441408 275179979776 275681474432 291492195072 292785799488 293858274944 294528572104 295576013824 311987740038 313914671616 315064542208 316462757632 317184616112 334612342272 335986796964 340074227584 358139772588 360233266848 360351753216 361173723456 362496704128 363985696711 383984910816 385688985864 387984753637 388656260096 390381065984 411695162112 412769969664 413522211648 415983653384 417829734686 440787412416 441792858156 443364020736 444521505792 447982395952 472596813312 474694136448 475776924168 477519696784 480311022464 481564964608 508950414336 510111341376 511979881088 514251981152 515425001182 542507584512 543745056192 548926882816 551362948864 582984390144 585571598976 587716549888 589057144208 623975480076 626744602029 627829343232 632925515264 634369232224 669224684544 671973593928 680148455168 716279545176 720466533696 722347446912 724993408256 727971393422 767969821632 771377971728 773137501773 775969507274 780762131968 823390324224 825539939328 827044423296 831967306768 835659469372 881574824832 883585716312 886728041472 895964791904 945193626624 949388272896 951553848336 955039393568 960622044928 963129929216 1020222682752 1023959762176 1028503962304 1030850002364 1087490112384 1091957090133 1102725897728 1163954260911 1165968780288 1171143197952 1175433099776 1178114288416 1247950960152 1253489204058 1265851030528 1268738464448 1343947187856 1360296910336 1432559090352 1440933067392 1444694893824 1449986816512 1455942786844 1535939643264 1542755943456 1546275003546 1551939014548 1561524263936 1646780648448 1654088846592 1663934613536 1671318938744 1763149649664 1767171432624 1791929583808 1898776545792 1903107696672 1910078787136 1921244089856 1926259858432 2040445365504 2047919524352 2057007924608 2061700004728 2174980224768 2183914180266 2205451795456 2327908521822 2342286395904 2350866199552 2356228576832 2495901920304 2506978408116 2537476928896 2687894375712 2715893275459 2720593820672 2865118180704 2881866134784 2889389787648 2899973633024 2911885573688 3071879286528 3085511886912 3092550007092 3103878029096 3308177693184 3327869227072 3342637877488 3526299299328 3534342865248 3583859167616 3797553091584 3806215393344 3820157574272 3842488179712 4080890731008 4095839048704 4114015849216 4123400009456 4349960449536 4367828360532 4655817043644 4684572791808 4712457153664 4991803840608 5013956816232 5043801797281 5074953857792 5375788751424 5431786550918 5730236361408 5763732269568 5778779575296 5823771147376 6143758573056 6171023773824 6185100014184 6207756058192 6616355386368 6655738454144 6685275754976 7052598598656 7068685730496 7167718335232 7612430786688 7640315148544 8147679826377 8161781462016 8228031698432 8246800018912 8699920899072 8735656721064 9311634087288 9424914307328 9983607681216 10027913632464 10087603594562 10149907715584 10751577502848 10863573101836 11460472722816 11527464539136 11647542294752 12287517146112 12342047547648 12370200028368 12415512116384 13311476908288 13370551509952 14137371460992 14335436670464 15131405391843 15224861573376 15280630297088 16295359652754 16456063396864 16493600037824 17471313442128 18623268174576 18849828614656 19967215362432 20055827264928 20175207189124 20299815431168 21503155005696 21727146203672 22920945445632 23295084589504 24684095095296 24740400056736 24831024232768 26622953816576 26741103019904 28274742921984 28670873340928 30262810783686 30449723146752 30561260594176 32590719305508 32987200075648 34942626884256 35306612580967 37246536349152 37699657229312 39934430724864 40111654529856 40350414378248 43006310011392 43454292407344 45841890891264 46590169179008 49368190190592 49480800113472 49662048465536 53245907633152 53482206039808 56549485843968 60525621567372 60899446293504 65181438611016 65974400151296 69885253768512 70613225161934 74493072698304 79868861449728 80223309059712 80700828756496 86012620022784 86908584814688 91683781782528 93180338358016 98961600226944 99324096931072 105919837742901 106964412079616 113098971687936 121051243134744 130362877222032 131948800302592 139770507537024 141226450323868 148986145396608 159737722899456 160446618119424 161401657512992 173817169629376 186360676716032 197923200453888 198648193862144 211839675485802 213928824159232 242102486269488 260725754444064 263897600605184 279541015074048 282452900647736 297972290793216 320893236238848 322803315025984 347634339258752 372721353432064 395846400907776 397296387724288 423679350971604 484204972538976 521451508888128 559082030148096 564905801295472 595944581586432 641786472477696 645606630051968 695268678517504 791692801815552 847358701943208 968409945077952 1042903017776256 1118164060296192 1129811602590944 1191889163172864 1291213260103936 1390537357035008 1694717403886416 1936819890155904 2085806035552512 2259623205181888 2582426520207872 2781074714070016 3389434807772832 3873639780311808 4171612071105024 4519246410363776 5164853040415744 6778869615545664 7747279560623616 8343224142210048 9038492820727552 13557739231091328 15494559121247232 18076985641455104 27115478462182656 36153971282910208 54230956924365312 108461913848730624
- Sum of all divisors σ(n): 364307644904087136
- Sum of proper divisors (its aliquot sum) s(n): 255845731055356512
- 108461913848730624 is an abundant number, because the sum of its proper divisors (255845731055356512) is greater than itself. Its abundance is 147383817206625888
Bases of 108461913848730624
- Binary: 1100000010101010110001001001101101001110011010100000000002
- Hexadecimal: 0x1815589369CD400
- Base-36: TNYJFCTWLXC
Squares and roots of 108461913848730624
- 108461913848730624 squared (1084619138487306242) is 11763986755729463921791096115429376
- 108461913848730624 cubed (1084619138487306243) is 1275944518017537187339948160573583141048638320410624
-
The
square root of 108461913848730624 is 329335564.2027301977 -
The
cube root of 108461913848730624 is 476898.2782308639
Scales and comparisons
How big is 108461913848730624?- 108,461,913,848,730,624 seconds is equal to 3,448,753,365 years, 34 weeks, 3 days, 1 hour, 10 minutes, 24 seconds.
-
To count from 1 to 108,461,913,848,730,624 would take you about ten billion, three hundred forty-six million, two hundred sixty thousand and ninety-six 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 108461913848730624 cubic inches would be around 39741.5 feet tall.
Recreational maths with 108461913848730624
- 108461913848730624 backwards is 426037848319164801
- The number of decimal digits it has is: 18
- The sum of 108461913848730624's digits is 75
- 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 108461913848730624 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 108461913848730624 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/108461913848730624/
Chicago style:
Numbermatics. 2024. "Number 108461913848730624 - Facts about the integer". https://numbermatics.com/n/108461913848730624/
The information we have on file for 108461913848730624 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 108461913848730624, math, Factors of 108461913848730624, curriculum, school, college, exams, university, Prime factorization of 108461913848730624, STEM, science, technology, engineering, physics, economics, calculator, one hundred eight quadrillion, four hundred sixty-one trillion, nine hundred thirteen billion, eight hundred forty-eight million, seven hundred thirty thousand, six hundred twenty-four.