18256425120267048
18,256,425,120,267,048 is an even composite number composed of six prime numbers multiplied together.
18256425120267048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 18256425120267048:
23 × 33 × 113 × 133 × 41 × 893
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 41 × 89 × 89 × 89)See below for interesting mathematical facts about the number 18256425120267048 from the Numbermatics database.
Names of 18256425120267048
- Cardinal: 18256425120267048 can be written as Eighteen quadrillion, two hundred fifty-six trillion, four hundred twenty-five billion, one hundred twenty million, two hundred sixty-seven thousand and forty-eight.
Scientific notation
- Scientific notation: 1.8256425120267048 × 1016
Factors of 18256425120267048
Divisors of 18256425120267048
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 41 44 52 54 66 72 78 82 88 89 99 104 108 117 121 123 132 143 156 164 169 178 198 216 234 242 246 264 267 286 297 312 328 338 351 356 363 369 396 429 451 468 484 492 507 533 534 572 594 676 702 712 726 738 792 801 858 902 936 968 979 984 1014 1066 1068 1089 1107 1144 1157 1188 1287 1331 1352 1353 1404 1452 1476 1521 1573 1599 1602 1716 1804 1859 1958 2028 2132 2136 2178 2197 2214 2314 2376 2403 2574 2662 2706 2808 2904 2937 2952 3042 3146 3198 3204 3267 3432 3471 3608 3649 3718 3861 3916 3993 4056 4059 4264 4356 4394 4428 4563 4628 4719 4797 4806 4961 5148 5324 5412 5577 5863 5874 6084 6292 6396 6408 6534 6591 6929 6942 7298 7436 7722 7832 7921 7986 8118 8712 8788 8811 8856 9126 9256 9438 9594 9612 9922 10296 10413 10648 10769 10824 10947 11154 11726 11748 11979 12168 12177 12584 12727 12792 13068 13182 13858 13884 14157 14391 14596 14872 14883 15041 15444 15842 15972 16236 16731 17303 17576 17589 17622 18252 18876 19188 19224 19773 19844 20449 20787 20826 21538 21894 22308 23452 23496 23763 23958 24167 24354 25454 26136 26364 26433 27716 27768 28314 28782 29192 29766 30082 30888 31239 31684 31944 32307 32472 32841 33462 34606 35178 35244 35937 36504 37752 38181 38376 39546 39688 40139 40898 41574 41652 42471 43076 43788 44616 44649 45123 46904 47437 47526 47916 48334 48708 50193 50908 51909 52728 52767 52866 54571 55432 56628 57564 59319 59532 60164 61347 62361 62478 63368 64493 64614 65682 66924 69212 70356 70488 71289 71874 72501 76219 76362 79092 80278 81796 83148 83304 84942 86152 87131 87576 89298 90077 90246 94874 95052 95832 96668 96921 97416 98523 100386 101816 102973 103818 105534 105732 109142 113256 114543 115128 118459 118638 119064 120328 120417 122694 124722 124956 128986 129228 131364 133848 133947 135369 138424 139997 140712 142311 142578 143748 145002 152438 152724 155727 158184 158301 160556 163592 163713 165451 166296 169884 174262 178596 180154 180492 184041 187083 189748 190104 193336 193479 193842 195533 197046 200772 205946 207636 211068 211464 213867 217503 218284 224939 228657 229086 236918 237276 240834 245388 249444 249912 257972 258456 261393 262728 265837 267894 270231 270738 279994 284622 285156 287496 290004 290763 304876 305448 308919 311454 316602 321112 324761 327426 330902 339768 343629 348524 355377 357192 360308 360984 361251 368082 374166 379496 386958 387684 391066 394092 401544 406107 411892 415272 419991 422136 426933 427734 435006 436568 441529 449878 457314 458172 467181 473836 474552 481668 490776 491139 496353 498888 515944 521807 522786 531674 535788 540462 541476 552123 559988 569244 570312 580008 580437 581526 586599 609752 616681 617838 622908 633204 649522 652509 654852 661804 674817 685971 687258 697048 704969 709423 710754 720616 722502 736164 748332 773916 775368 782132 784179 788184 797511 810693 812214 823784 838409 839982 853866 855468 870012 883058 899756 914628 916344 926757 934362 947672 958441 963336 974283 982278 990847 992706 1043614 1045572 1063348 1066131 1071576 1080924 1082952 1083753 1104246 1119976 1132703 1138488 1160874 1163052 1173198 1233362 1235676 1245816 1259973 1266408 1280799 1299044 1305018 1309704 1323608 1324587 1338649 1349634 1371942 1374516 1409938 1418846 1421508 1445004 1472328 1473417 1489059 1496664 1539967 1547832 1564264 1565421 1568358 1595022 1621386 1624428 1676818 1679964 1707732 1710936 1740024 1741311 1759797 1766116 1799512 1819961 1829256 1850043 1853514 1868724 1916882 1948566 1964556 1981694 1985412 2024451 2057913 2087228 2091144 2114907 2126696 2128269 2132262 2150863 2161848 2167506 2208492 2265406 2321748 2326104 2346396 2352537 2392533 2432079 2466724 2471352 2515227 2519946 2561598 2598088 2610036 2649174 2677298 2699268 2743884 2749032 2780271 2819876 2837692 2843016 2875323 2890008 2922849 2924207 2946834 2972541 2978118 3079934 3130842 3136716 3190044 3198393 3242772 3248856 3353636 3359928 3398109 3415464 3482622 3519594 3532232 3572371 3639922 3700086 3707028 3737448 3779919 3833764 3897132 3929112 3963388 3970824 3973761 4015947 4048902 4115826 4174456 4221893 4229814 4256538 4264524 4301726 4335012 4416984 4467177 4530812 4619901 4643496 4692792 4696263 4705074 4785066 4856819 4864158 4933448 5030454 5039892 5123196 5220072 5279391 5298348 5354596 5398536 5459883 5487768 5550129 5560542 5639752 5675384 5739877 5750646 5845698 5848414 5893668 5945082 5956236 6073353 6159868 6261684 6273432 6344721 6380088 6384807 6396786 6452589 6485544 6707272 6783491 6796218 6965244 7039188 7144742 7177599 7279844 7400172 7414056 7545681 7559838 7667528 7754659 7794264 7926776 7947522 8016853 8031894 8097804 8231652 8443786 8459628 8513076 8529048 8603452 8625969 8670024 8768547 8772621 8917623 8934354 9061624 9164597 9222499 9239802 9392526 9410148 9570132 9713638 9728316 10060908 10079784 10194327 10246392 10542851 10558782 10596696 10709192 10717113 10899317 10919766 11100258 11121084 11479754 11501292 11691396 11696828 11787336 11890164 11912472 11921283 12047841 12146706 12319736 12459733 12523368 12665679 12689442 12769614 12793572 12905178 13566982 13592436 13859703 13930488 14078376 14088789 14289484 14355198 14559688 14570457 14725139 14800344 15091362 15119676 15509318 15895044 16033706 16063788 16195608 16379649 16463304 16650387 16887572 16919256 17026152 17206904 17219631 17251938 17402437 17537094 17545242 17835246 17868708 18329194 18444998 18479604 18785052 18820296 19034163 19140264 19154421 19357767 19427276 19456632 20019571 20121816 20350473 20388654 21085702 21117564 21434226 21798634 21839532 22200516 22242168 22637043 22959508 23002584 23263977 23382792 23393656 23659493 23780328 23842566 24050559 24095682 24293412 24919466 25331358 25378884 25539228 25587144 25810356 25877907 26317863 26752869 27133964 27184872 27493791 27667497 27719406 28177578 28578968 28710396 28903729 29140914 29450278 30182724 30239352 30582981 31018636 31628553 31790088 32067412 32127576 32151339 32697951 32759298 33300774 33775144 34439262 34503876 34804874 35074188 35090484 35670492 35737416 36143523 36658388 36889996 36959208 37379199 37570104 37997037 38068326 38308842 38715534 38854552 39296081 40039142 40700946 40777308 41579109 42171404 42235128 42868452 43597268 43679064 43711371 44175417 44401032 45274086 45919016 46440823 46527954 47318986 47685132 48101118 48191364 48586824 49138947 49838932 50662716 50757768 51078456 51620712 51658893 51755814 52207311 52635726 53505738 54267928 54884609 54987582 55334994 55438812 56355156 57420792 57807458 58073301 58281828 58900556 60058713 60365448 61051419 61165962 62037272 63138647 63257106 64134824 64302678 65395902 65518596 66601548 68878524 69007752 69609748 69791931 70148376 70180968 70978479 71340984 72151677 72287046 73316776 73779992 74618401 74758398 75994074 76136652 76617684 77431068 78592162 78953589 80078284 81401892 81554616 82481373 83002491 83158218 84342808 85301249 85736904 86711187 87194536 87422742 88185383 88350834 90548172 92881646 93055908 94637972 94885659 95370264 96202236 96382728 96454017 98093853 98277894 99677864 100810567 101325432 103317786 103511628 104414622 105271452 107011476 109769218 109975164 110669988 110877624 112137597 112710312 113991111 115614916 116146602 116563656 117801112 117888243 119139761 119892487 120117426 122102838 122331924 126277294 126514212 128605356 130791804 131037192 131134113 132526251 133203096 137057063 137757048 139219496 139322469 139583862 141956958 144303354 144574092 149236802 149516796 151988148 152273304 153235368 154862136 154976679 156621933 157184324 157907178 160156568 161976529 162803784 164653827 164962746 166004982 166316436 170602498 173422374 174845484 176370766 176701668 180176139 181096344 183154257 185763292 186111816 189275944 189415941 189771318 191426807 192404472 192908034 196187706 196555788 201621134 206635572 207023256 208829244 209375793 210542904 212935437 214022952 216455031 219538436 219950328 221339976 223855203 224275194 227982222 231229832 232293204 235776486 238279522 239784974 240234852 244205676 244663848 247444119 249007473 252554588 253028424 255903747 257210712 260133561 260254423 261583608 262268226 264556149 265052502 274114126 278644938 279167724 283913916 284656977 288606708 289148184 294281559 298473604 299033592 302431701 303976296 309953358 313243866 314368648 315814356 317941019 323953058 329307654 329925492 332009964 332632872 336412791 341204996 346844748 349690968 352741532 353403336 353664729 357419283 359677461 360352278 366308514 371526584 375748477 378831882 379542636 382853614 385816068 392375412 393111576 397578753 403242268 411171189 413271144 417658488 417967407 418751586 425870874 432256891 432910062 439076872 447710406 448550388 455964444 464586408 469865799 471552972 476559044 479569948 480469704 485929587 488411352 493961481 494888238 498014946 505109176 510849053 511807494 520267122 520508846 524536452 529112298 530105004 540528417 548228252 557289876 558335448 567827832 568247823 569313954 574280421 577213416 588563118 596947208 603730699 604863402 619906716 626487732 631628712 635882038 638806311 647906116 658615308 659850984 664019928 671565609 672825582 682409992 693689496 705483064 707329458 713499917 714838566 719354922 720704556 732617028 751496954 757663764 759085272 765707228 767711241 771632136 780400683 780763269 784750824 793668447 795157506 806484536 820802411 822342378 835934814 837503172 851741748 864513782 865820124 895420812 897100776 907295103 911928888 938313739 939731598 943105944 953118088 953823057 959139896 970039213 971859174 987922962 989776476 996029892 1021698106 1023614988 1040534244 1041017692 1049072904 1058224596 1060210008 1060994187 1072257849 1079032383 1081056834 1096456504 1108916237 1114579752 1127245431 1136495646 1138627908 1148560842 1177126236 1207461398 1209726804 1233513567 1239813432 1252975464 1253902221 1271764076 1277612622 1295812232 1296770673 1310537371 1317230616 1343131218 1345651164 1414658916 1426999834 1429677132 1438709844 1441409112 1457788761 1465234056 1481884443 1502993908 1515327528 1531414456 1532547159 1535422482 1548816893 1560801366 1561526538 1587336894 1590315012 1641604822 1644684756 1671869628 1675006344 1703483496 1704743469 1722841263 1729027564 1731640248 1781741819 1790841624 1811192097 1814590206 1876627478 1879463196 1907646114 1940078426 1943718348 1975845924 1979552952 1992059784 2014696827 2043396212 2047229976 2081068488 2082035384 2105694877 2116449192 2121988374 2140499751 2144515698 2158064766 2162113668 2217832474 2254490862 2272991292 2277255816 2297121684 2303133723 2342289807 2354252472 2381005341 2414922796 2419453608 2462407233 2467027134 2507804442 2543528152 2555225244 2593541346 2621074742 2686262436 2691302328 2721885309 2814941217 2829317832 2853999668 2859354264 2861469171 2877419688 2910117639 2915577522 2963768886 3005987816 3065094318 3070844964 3097633786 3121602732 3123053076 3174673788 3180630024 3216773547 3237097149 3283209644 3289369512 3326748711 3343739256 3381736293 3409486938 3445682526 3458055128 3497351209 3563483638 3622384194 3629180412 3700540701 3753254956 3758926392 3815292228 3880156852 3887436696 3890312019 3931612113 3951691848 4029393654 4086792424 4133233247 4211389754 4243976748 4280999502 4289031396 4316129532 4324227336 4373366283 4435664948 4508981724 4545982584 4594243368 4597641477 4606267446 4646450679 4684579614 4762010682 4829845592 4884730201 4924814466 4934054268 5015608884 5110450488 5168523789 5187082692 5242149484 5345225457 5372524872 5433576291 5443770618 5619339583 5629882434 5707999336 5722938342 5820235278 5831155044 5927537772 6130188636 6141689928 6195267572 6243205464 6246106152 6317084631 6349347576 6421499253 6433547094 6474194298 6566419288 6641037689 6653497422 6763472586 6818973876 6891365052 6994702418 7026869421 7126967276 7244768388 7258360824 7387221699 7401081402 7506509912 7630584456 7760313704 7780624038 7848499087 7863224226 8058787308 8266466494 8422779508 8444823651 8487953496 8561999004 8578062792 8584407513 8632259064 8730352917 8746732566 8871329896 9017963448 9195282954 9212534892 9292901358 9369159228 9524021364 9769460402 9849628932 9868108536 9980246133 10031217768 10145208879 10337047578 10374165384 10484298968 10492053627 10670431343 10690450914 10867152582 10887541236 11238679166 11259764868 11445876684 11640470556 11662310088 11670936057 11794836339 11855075544 12198078607 12260377272 12390535144 12399699741 12634169262 12842998506 12867094188 12948388596 13282075378 13306994844 13526945172 13637947752 13782730104 13792924431 13939352037 13989404836 14053738842 14253934552 14415911081 14489536776 14654190603 14774443398 14802162804 15561248076 15696998174 15726448452 16035676371 16117574616 16300728873 16532932988 16845559016 16858018749 16889647302 17036985823 17123998008 17168815026 17460705834 17493465132 18390565908 18425069784 18585802716 18738318456 18951253893 19048042728 19264497759 19538920804 19699257864 19923113067 19960492266 20290417758 20674095156 20984107254 21340862686 21380901828 21734305164 21775082472 22161665097 22477358332 22519529736 22891753368 23162643647 23280941112 23341872114 23545497261 23589672678 24396157214 24799399482 25268338524 25334470953 25685997012 25734188376 25896777192 26191058751 26564150756 26613989688 27053890344 27585848862 27878704074 27978809672 28107477684 28831822162 29308381206 29548886796 29604325608 29940738399 31122496152 31393996348 31452896904 31476160881 32011294029 32071352742 32601457746 33065865976 33716037498 33779294604 34073971646 34337630052 34921411668 34986930264 35384509017 36594235821 36781131816 37171605432 37199099223 37902507786 38470863299 38528995518 39077841608 39846226134 39920984532 40580835516 41348190312 41818056111 41968214508 42681725372 42761803656 43247733243 43468610328 43962571809 44323330194 44954716664 45465565717 46325287294 46683744228 47090994522 47179345356 48107029113 48792314428 49598798964 50536677048 50574056247 50668941906 51110957469 51371994024 52382117502 53128301512 53732032211 55171697724 55757408148 56214955368 56853761679 57663644324 58616762412 59097773592 59769339201 59881476798 62787992696 62952321762 63501492613 64022588058 64142705484 65202915492 67432074996 67558589208 68147943292 68675260104 69487930941 69842823336 70636491783 70769018034 73051414579 73188471642 74398198446 75805015572 76941726598 77057991036 79692452268 79841969064 81161671032 83636112222 83936429016 85363450744 86333489957 86495466486 87925143618 88646660388 90931131434 92650574588 93367488456 94181989044 94358690712 94428482643 96033882087 96214058226 97584628856 99197597928 101148112494 101337883812 102221914938 104764235004 107464064422 109782707463 110343395448 111514816296 111597297669 113707523358 115327288648 115412589897 117233524824 119538678402 119762953596 125904643524 127002985226 128045176116 128285410968 129743199729 130405830984 131887715427 134864149992 136295886584 136396697151 138975861882 141272983566 141538036068 146102829158 146376943284 148796396892 151610031144 151722168741 153332872407 153883453196 154115982072 158575021891 159384904536 161196096633 167272224444 172666979914 172990932972 175850287236 177293320776 179308017603 181862262868 185301149176 187406844053 188363978088 188856965286 190504477839 192067764174 192428116452 202296224988 202675767624 204443829876 208463792823 209528470008 211909475349 214928128844 219154243737 219565414926 223194595338 227415046716 230825179794 239077356804 239525907192 251809287048 254005970452 256090352232 259000469871 259486399458 263775430854 272793394302 277951723764 282545967132 283076072136 288101646261 292205658316 292753886568 297592793784 303444337482 306665744814 307766906392 317150043782 322392193266 329348122389 334544448888 345333959828 345981865944 346237769691 351700574472 358616035206 363724525736 374813688106 377713930572 381008955678 384135528348 384856232904 389229599187 404592449976 408887659752 409190091453 416927585646 423818950698 429856257688 438308487474 439130829852 446389190676 454830093432 459998617221 461650359588 475725065673 478154713608 483588289899 500121222887 508011940904 518000939742 518972798916 527550861708 545586788604 555903447528 562220532159 565091934264 571513433517 576203292522 584411316632 591052354321 606888674964 613331489628 625391378469 634300087564 644784386532 657462731211 658696244778 690667919656 692475539382 698516418743 717232070412 749627376212 755427861144 762017911356 768271056696 777001409613 778459198374 818380182906 833855171292 847637901396 876616974948 878261659704 892778381352 919997234442 923300719176 949668389527 951450131346 967176579798 1000242445774 1036001879484 1037945597832 1038713309073 1055101723416 1091173577208 1124441064318 1143026867034 1152406585044 1182104708642 1213777349928 1226662979256 1227570274359 1250782756938 1268600175128 1289568773064 1314925462422 1317392489556 1384951078764 1397032837486 1427175197019 1434464140824 1450764869697 1499254752424 1500363668661 1524035822712 1554002819226 1556918396748 1636760365812 1667710342584 1686661596477 1695275802792 1714540300551 1753233949896 1773157062963 1839994468884 1899336779054 1902900262692 1934353159596 1972388193633 2000484891548 2061475284583 2072003758968 2077426618146 2095549256229 2248882128636 2286053734068 2304813170088 2331004228839 2364209417284 2455140548718 2501565513876 2629850924844 2634784979112 2769902157528 2794065674972 2849005168581 2854350394038 2901529739394 3000727337322 3108005638452 3113836793496 3273520731624 3373323192954 3429080601102 3546314125926 3679988937768 3798673558108 3805800525384 3868706319192 3944776387266 4000969783096 4122950569166 4154853236292 4191098512458 4281525591057 4497764257272 4501091005983 4572107468136 4662008457678 4728418834568 4910281097436 5003131027752 5059984789431 5259701849688 5319471188889 5588131349944 5698010337162 5708700788076 5803059478788 6001454674644 6184425853749 6216011276904 6286647768687 6501575897531 6746646385908 6858161202204 7092628251852 7597347116216 7683680606173 7889552774532 8245901138332 8309706472584 8382197024916 8547015505743 8563051182114 9002182011966 9324016915356 9820562194872 10119969578862 10638942377778 11396020674324 11417401576152 11606118957576 12002909349288 12368851707498 12573295537374 13003151795062 13493292771816 13503273017949 13716322404408 14185256503704 15367361212346 15779105549064 15958413566667 16491802276664 16764394049832 17094031011486 17126102364228 18004364023932 18553277561247 18648033830712 18859943306061 19504727692593 20239939157724 21277884755556 22792041348648 23051041818519 24737703414996 25146591074748 25641046517229 26006303590124 27006546035898 30734722424692 31916827133334 34188062022972 34252204728456 36008728047864 37106555122494 37719886612122 39009455385186 40479878315448 42555769511112 46102083637038 49475406829992 50293182149496 51282093034458 52012607180248 54013092071796 55659832683741 58514183077779 61469444849384 63833654266668 68376124045944 69153125455557 74213110244988 75439773224244 78018910770372 84520486667903 92204167274076 102564186068916 108026184143592 111319665367482 117028366155558 127667308533336 138306250911114 148426220489976 150879546448488 156037821540744 169040973335806 175542549233337 184408334548152 205128372137832 207459376366671 222639330734964 234056732311116 253561460003709 276612501822228 338081946671612 351085098466674 414918752733342 445278661469928 468113464622232 507122920007418 553225003644456 676163893343224 702170196933348 760684380011127 829837505466684 1014245840014836 1404340393866696 1521368760022254 1659675010933368 2028491680029672 2282053140033381 3042737520044508 4564106280066762 6085475040089016 9128212560133524 18256425120267048
- Sum of all divisors σ(n): 62603111934720000
- Sum of proper divisors (its aliquot sum) s(n): 44346686814452952
- 18256425120267048 is an abundant number, because the sum of its proper divisors (44346686814452952) is greater than itself. Its abundance is 26090261694185904
Bases of 18256425120267048
- Binary: 10000001101110000011111001101100010100101111011001010002
- Hexadecimal: 0x40DC1F36297B28
- Base-36: 4ZRD1X1OFU0
Squares and roots of 18256425120267048
- 18256425120267048 squared (182564251202670482) is 333297058171917698030962834634304
- 18256425120267048 cubed (182564251202670483) is 6084812785320905853695738709427886122379901614592
-
The
square root of 18256425120267048 is 135116339.2053938383 -
The
cube root of 18256425120267048 is 263312.7649101061
Scales and comparisons
How big is 18256425120267048?- 18,256,425,120,267,048 seconds is equal to 580,497,847 years, 51 weeks, 4 days, 18 hours, 10 minutes, 48 seconds.
-
To count from 1 to 18,256,425,120,267,048 would take you about one billion, seven hundred forty-one million, four hundred ninety-three thousand, five hundred forty-three 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 18256425120267048 cubic inches would be around 21942.7 feet tall.
Recreational maths with 18256425120267048
- 18256425120267048 backwards is 84076202152465281
- The number of decimal digits it has is: 17
- The sum of 18256425120267048's digits is 63
- 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 18256425120267048 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 18256425120267048 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/18256425120267048/
Chicago style:
Numbermatics. 2024. "Number 18256425120267048 - Facts about the integer". https://numbermatics.com/n/18256425120267048/
The information we have on file for 18256425120267048 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 18256425120267048, math, Factors of 18256425120267048, curriculum, school, college, exams, university, Prime factorization of 18256425120267048, STEM, science, technology, engineering, physics, economics, calculator, eighteen quadrillion, two hundred fifty-six trillion, four hundred twenty-five billion, one hundred twenty million, two hundred sixty-seven thousand and forty-eight.