41209686141624
41,209,686,141,624 is an even composite number composed of seven prime numbers multiplied together.
41209686141624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 41209686141624:
23 × 35 × 7 × 11 × 133 × 292 × 149
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 13 × 13 × 29 × 29 × 149)See below for interesting mathematical facts about the number 41209686141624 from the Numbermatics database.
Names of 41209686141624
- Cardinal: 41209686141624 can be written as Forty-one trillion, two hundred nine billion, six hundred eighty-six million, one hundred forty-one thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.1209686141624 × 1013
Factors of 41209686141624
Divisors of 41209686141624
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 27 28 29 33 36 39 42 44 52 54 56 58 63 66 72 77 78 81 84 87 88 91 99 104 108 116 117 126 132 143 149 154 156 162 168 169 174 182 189 198 203 216 231 232 234 243 252 261 264 273 286 297 298 308 312 319 324 338 348 351 364 377 378 396 406 429 447 462 468 486 504 507 522 546 567 572 594 596 609 616 638 648 676 693 696 702 728 754 756 783 792 812 819 841 858 891 894 924 936 957 972 1001 1014 1043 1044 1053 1092 1131 1134 1144 1183 1188 1192 1218 1276 1287 1341 1352 1386 1404 1508 1512 1521 1566 1624 1638 1639 1682 1701 1716 1782 1788 1827 1848 1859 1914 1937 1944 2002 2028 2079 2086 2088 2106 2184 2197 2233 2262 2268 2349 2366 2376 2436 2457 2523 2552 2574 2639 2673 2682 2772 2808 2871 3003 3016 3042 3129 3132 3159 3276 3278 3364 3393 3402 3432 3549 3564 3576 3654 3718 3828 3861 3874 4004 4023 4056 4147 4158 4172 4212 4321 4394 4466 4524 4536 4563 4698 4732 4872 4901 4914 4917 5046 5148 5278 5346 5364 5481 5544 5577 5742 5811 5887 6006 6084 6237 6258 6264 6318 6552 6556 6591 6699 6728 6786 6804 7047 7098 7128 7308 7371 7436 7569 7656 7722 7748 7917 8008 8046 8294 8316 8344 8424 8613 8642 8788 8932 9009 9048 9126 9251 9387 9396 9464 9802 9828 9834 10092 10179 10296 10556 10647 10692 10728 10933 10962 11154 11473 11484 11583 11622 11774 12012 12069 12168 12441 12474 12516 12636 12963 13013 13112 13182 13398 13559 13572 13608 13689 14094 14196 14616 14703 14742 14751 14872 15138 15379 15444 15496 15834 16092 16443 16588 16632 16731 17226 17284 17433 17576 17661 17864 18018 18252 18502 18711 18774 18792 19604 19656 19668 19773 20097 20184 20358 21112 21294 21307 21384 21866 21924 22113 22308 22707 22946 22968 23166 23244 23548 23751 24024 24138 24167 24882 24948 25032 25181 25272 25839 25926 26026 26364 26796 27027 27118 27144 27378 27753 28161 28188 28392 29029 29406 29484 29502 30247 30276 30537 30758 30888 31668 31941 32184 32799 32886 33176 33462 34307 34419 34452 34568 34749 34866 35322 36036 36207 36504 37004 37323 37422 37548 38889 39039 39208 39336 39546 40194 40677 40716 41067 42588 42614 43732 43848 44109 44226 44253 44616 45414 45892 46137 46332 46488 47096 47502 47531 48276 48334 49329 49764 49896 50193 50362 51678 51852 52052 52299 52728 52983 53592 53911 54054 54236 54756 55506 56173 56322 56376 58058 58812 58968 59004 59319 60291 60494 60552 61074 61516 63336 63713 63882 63921 64757 65598 65772 66924 68121 68614 68838 68904 69498 69732 70644 71253 72072 72414 72501 74008 74646 74844 75096 75543 76531 77517 77778 78078 79092 80388 81081 81354 81432 82134 83259 84483 85176 85228 87087 87464 88218 88452 88506 90741 90828 91611 91784 92274 92664 95004 95062 95823 96552 96668 98397 98658 99528 100386 100724 102921 103257 103356 103704 104104 104598 105966 107822 108108 108472 109512 111012 111969 112346 112644 116116 116667 117117 117624 118008 118638 120263 120582 120988 122031 122148 123032 125309 127426 127764 127842 129514 131196 131544 132327 132759 133848 136242 137228 137676 138411 138996 139464 141288 142129 142506 142593 144828 145002 149149 149292 149688 150579 151086 153062 155034 155556 156156 156897 158184 158949 160776 161733 162162 162708 164268 166518 168519 168966 169169 170456 174174 176267 176436 176904 177012 177957 180873 181482 181656 183222 184548 190008 190124 191139 191646 191763 193336 194271 196794 197316 200772 201448 204363 205842 206514 206712 209196 211932 213759 215644 216216 217503 222024 223938 224692 225288 226629 229593 232232 233334 234234 237276 240526 241164 241976 243243 244062 244296 249777 250618 253449 254852 255528 255684 259028 261261 262392 264654 265518 272223 272484 274456 275352 276822 276991 277992 284258 285012 285186 287469 289656 290004 295191 298298 298584 301158 302172 306124 308763 309771 310068 311112 312312 313794 317898 323466 324324 325416 327353 328536 332717 333036 335907 337038 337932 338338 348348 350001 351351 352534 352872 354024 355914 360789 361746 362964 366093 366444 369096 375927 377377 380248 382278 383292 383526 388542 393211 393588 394632 396981 398277 401544 408726 411684 413028 415233 418392 423864 426387 427518 427779 431288 435006 445991 447447 447876 449384 451737 453258 459186 466668 468468 470691 474552 476847 481052 482328 485199 486486 488124 499554 501236 505557 506898 507507 509704 511368 518056 522522 528801 529308 531036 533871 542619 544446 544968 553644 553982 568516 570024 570372 573417 574938 575289 580008 582813 590382 596596 602316 604344 612248 617526 617903 619542 620136 627588 635796 641277 646932 648648 652509 654706 665434 666072 671814 674076 675864 676676 679887 688779 696696 700002 700843 702702 705068 711828 721578 723492 725928 730249 732186 732888 749331 751854 754754 764556 766584 767052 777084 783783 786422 787176 793962 796554 816669 817452 823368 826056 830466 830973 841841 852774 855036 855558 870012 877163 885573 891982 894894 895752 903474 906516 918372 926289 929313 933336 936936 941382 953694 962104 970398 972972 976248 982059 994903 998151 999108 1002472 1007721 1011114 1013796 1015014 1045044 1050003 1054053 1057602 1058616 1062072 1067742 1082367 1085238 1088892 1098279 1107288 1107964 1127781 1132131 1137032 1140744 1146834 1149876 1150578 1165626 1179633 1180764 1190943 1193192 1204632 1235052 1235806 1239084 1245699 1255176 1271592 1279161 1282554 1283337 1293864 1305018 1309412 1330868 1337973 1342341 1343628 1348152 1353352 1359774 1377558 1378399 1400004 1401686 1405404 1410136 1423656 1430541 1443156 1446984 1455597 1460498 1464372 1498662 1503708 1509508 1516671 1522521 1529112 1534104 1554168 1563419 1567566 1572844 1586403 1587924 1593108 1629017 1633338 1634904 1660932 1661946 1683682 1705548 1710072 1711116 1720251 1725867 1740024 1748439 1754326 1771146 1783964 1789788 1806948 1813032 1836744 1847677 1852578 1853709 1858626 1882764 1907388 1938937 1940796 1945944 1957527 1964118 1989806 1996302 1998216 2015442 2022228 2027592 2030028 2039661 2066337 2090088 2100006 2102529 2108106 2115204 2135484 2164734 2170476 2177784 2190747 2196558 2215928 2247993 2255562 2264262 2291471 2293668 2299752 2301156 2331252 2351349 2359266 2361528 2381886 2450007 2470104 2471612 2478168 2491398 2492919 2525523 2558322 2565108 2566674 2610036 2618824 2631489 2656719 2661736 2675946 2684682 2687256 2719548 2755116 2756798 2778867 2787939 2800008 2803372 2810808 2861082 2886312 2911194 2920996 2928744 2946177 2984709 2994453 2997324 3007416 3019016 3033342 3045042 3126838 3135132 3145688 3162159 3172806 3175848 3186216 3247101 3258034 3266676 3294837 3321864 3323892 3367364 3383343 3396393 3411096 3422232 3440502 3451734 3496878 3508652 3538899 3542292 3567928 3579576 3600883 3613896 3695354 3705156 3707418 3717252 3737097 3765528 3814776 3837483 3850011 3877874 3881592 3915054 3928236 3979612 3992604 4013919 4027023 4030884 4044456 4060056 4079322 4132674 4135197 4200012 4205058 4216212 4230408 4270968 4325321 4329468 4340952 4366791 4381494 4393116 4495986 4511124 4528524 4550013 4567563 4582942 4587336 4602312 4662504 4690257 4702698 4718532 4759209 4763772 4887051 4900014 4905901 4943224 4982796 4985838 5051046 5111743 5116644 5130216 5133348 5160753 5177601 5220072 5245317 5262978 5313438 5351892 5369364 5439096 5510232 5513596 5543031 5557734 5561127 5575878 5606744 5722164 5816811 5822388 5841992 5872581 5892354 5969418 5988906 5994648 6066684 6090084 6118983 6199011 6253676 6270264 6307587 6324318 6345612 6494202 6516068 6533352 6572241 6589674 6647784 6734728 6766686 6792786 6874413 6881004 6903468 6993756 7017304 7054047 7077798 7084584 7201766 7350021 7390708 7410312 7414836 7434504 7474194 7478757 7576569 7674966 7700022 7755748 7830108 7856472 7894467 7959224 7985208 8027838 8032739 8054046 8061768 8158644 8265348 8270394 8336601 8400024 8410116 8432424 8650642 8658936 8733582 8762988 8786232 8838531 8954127 8983359 8991972 9022248 9057048 9100026 9135126 9165884 9380514 9405396 9437064 9493237 9518418 9527544 9648793 9741303 9774102 9800028 9811802 9965592 9971676 10102092 10150029 10189179 10223486 10233288 10266696 10321506 10355202 10490634 10525956 10616697 10626876 10703784 10738728 10802649 10943933 11027192 11086062 11115468 11122254 11151756 11403119 11444328 11512449 11550033 11633622 11644776 11745162 11784708 11938836 11977812 12041757 12081069 12133368 12180168 12237966 12398022 12405591 12507352 12615174 12648636 12691224 12933739 12975963 12988404 13032136 13100373 13144482 13179348 13533372 13585572 13650039 13702689 13748826 13762008 13806936 13987512 14070771 14108094 14155596 14277627 14403532 14661153 14700042 14717703 14781416 14829672 14948388 14957514 15153138 15335229 15349932 15400044 15482259 15511496 15660216 15735951 15788934 16055676 16065478 16108092 16317288 16530696 16540788 16629093 16673202 16683381 16820232 17301284 17450433 17467164 17525976 17677062 17908254 17919187 17966718 17983944 18200052 18270252 18331768 18597033 18761028 18810792 18922761 18986474 19036836 19297586 19482606 19548204 19600056 19623604 19716723 19943352 20204184 20300058 20324447 20378358 20446972 20623239 20643012 20710404 20981268 21051912 21177221 21233394 21253752 21605298 21887866 22172124 22230936 22244508 22303512 22436271 22729707 22806238 23024898 23100066 23267244 23490324 23569416 23683401 23877672 23955624 24083514 24098217 24162138 24475932 24796044 24811182 25206181 25230348 25297272 25867478 25951926 25976808 26200746 26288964 26358696 26515593 26862381 26950077 27066744 27171144 27300078 27405378 27497652 28141542 28216188 28311192 28479711 28555254 28807064 28946379 29223909 29322306 29400084 29435406 29896776 29915028 30306276 30450087 30567537 30670458 30699864 30800088 30964518 31471902 31577868 31850091 32111352 32130956 32216184 32407947 32831799 33081576 33258186 33346404 33366762 34209357 34537347 34602568 34900866 34934328 35354124 35816508 35838374 35933436 36125271 36243207 36400104 36540504 37194066 37216773 37522056 37845522 37972948 38073672 38595172 38801217 38927889 38965212 39096408 39247208 39433446 40600116 40648894 40756716 40893944 41108067 41246478 41286024 41420808 41962536 42212313 42354442 42466788 42832881 43210596 43775732 43983459 44153109 44344248 44489016 44872542 45459414 45612476 46005687 46049796 46200132 46534488 46980648 47366802 48167028 48196434 48324276 48951864 49592088 49622364 49887279 50050143 50412362 50460696 51734956 51903852 52351299 52401492 52577928 53031186 53724762 53757561 53900154 54600156 54810756 54995304 56229173 56283084 56432376 56768283 56959422 57110508 57892758 58447818 58644612 58800168 58870812 59150169 59830056 60612552 60900174 60973341 61135074 61340916 61869717 61929036 62943804 63155736 63531663 63700182 64261912 64815894 65663598 66452659 66516372 66692808 66733524 67308813 68189121 68418714 69074694 69801732 70708248 71050203 71633016 71676748 71866872 72250542 72294651 72486414 74388132 74433546 75618543 75691044 75945896 77190344 77602434 77855778 77930424 78866892 79546779 80587143 80850231 81200232 81297788 81513432 82216134 82492956 84424626 84708884 84933576 85439133 85665762 86421192 86839137 87551464 87966918 88306218 89745084 90918828 91224952 91702611 92011374 92099592 92400264 94733604 95550273 96334056 96392868 96648552 97223841 98495397 99244728 99774558 100100286 100824724 102628071 103469912 103807704 104425607 104702598 104802984 106062372 107449524 107515122 107800308 108375813 109200312 109621512 111650319 112458346 112566168 113536566 113918844 114221016 115785516 116403651 116783667 116895636 117289224 117741624 118300338 121800348 121946682 122270148 122681832 123739434 123858072 125434309 125887608 126636939 127063326 127400364 129631788 131327196 131950377 132459327 132905318 133032744 133467048 134617626 136378242 136837428 138017061 138149388 139603464 142100406 142271129 143353496 144501084 144589302 144972828 148240547 148776264 148867092 149661837 150150429 151237086 151382088 155204868 155711556 157053897 157733784 159093558 161174286 161272683 161700462 162595576 164432268 164985912 168687519 168849252 169417768 170304849 170878266 171331524 173678274 175933836 176612436 177450507 179490168 181837656 182920023 183405222 184022748 185609151 189467208 190594989 191100546 192785736 194447682 196990794 199357977 199549116 200200572 201649448 204567363 205256142 208851214 209405196 212124744 213150609 214899048 215030244 215600616 216751626 216883953 223300638 224916692 226855629 227073132 227837688 231571032 232807302 232949431 233567334 233791272 236600676 241761429 243600696 243893364 244540296 247478868 250868618 253273878 254126652 254800728 256317399 259263576 260517411 262654392 263900754 264918654 265810636 269235252 272756484 273674856 275303873 276034122 276298776 284200812 284542258 289002168 289178604 289945656 291671523 295486191 296481094 297734184 299323674 300300858 302474172 307884213 310409736 311423112 313276821 314107794 318187116 322348572 322545366 323400924 328864536 334950957 337375038 337698504 340609698 341756532 342663048 347356548 349210953 350351001 351867672 353224872 354901014 365840046 366810444 368045496 371218302 376302927 379910817 381189978 382201092 388895364 393981588 395851131 397377981 398715954 399098232 400401144 409134726 410512284 414051183 417702428 418810392 426301218 426813387 430060488 433503252 433767906 444721641 446601276 448985511 449833384 453711258 454146264 465614604 465898862 467134668 471161691 473201352 483522858 483818049 487786728 494957736 501737236 506062557 506547756 508253304 512634798 521034822 527801508 529837308 531621272 538470504 545512968 548760069 550607746 552068244 556827453 568401624 569084516 571784967 578357208 583343046 590972382 592962188 598073931 598647348 600601716 604948344 615768426 626553642 628215588 636374232 644697144 645090732 646801848 650651859 669901914 674750076 680566887 681219396 683513064 694713096 698421906 698848293 700702002 709802028 730979249 731680092 733620888 742436604 752605854 759821634 762379956 764402184 768952197 777790728 781552233 787963176 791702262 794755962 797431908 818269452 821024568 825911619 828102366 835404856 852602436 853626774 867006504 867535812 875014569 886458573 889443282 893202552 897971022 907422516 923652639 931229208 931797724 934269336 939830463 942323382 967045716 967636098 1003474472 1012125114 1013095512 1025269596 1042069644 1047632859 1051053003 1055603016 1059674616 1097520138 1101215492 1104136488 1113654906 1128908781 1138169032 1143569934 1166686092 1181944764 1185924376 1192133943 1196147862 1197294696 1201203432 1231536852 1242153549 1253107284 1256431176 1280440161 1290181464 1301303718 1334164923 1339803828 1349500152 1361133774 1362438792 1396843812 1397696586 1401404004 1419604056 1451454147 1461958498 1463360184 1484873208 1505211708 1518187671 1519643268 1524759912 1537904394 1563104466 1583404524 1589511924 1594863816 1630646017 1636538904 1646280207 1651823238 1656204732 1705204872 1707253548 1715354901 1735071624 1750029138 1772917146 1778886564 1794221793 1795942044 1814845032 1847305278 1863595448 1879660926 1884646764 1927127111 1934091432 1935272196 1951955577 2024250228 2041700661 2050539192 2084139288 2095265718 2096544879 2102106006 2192937747 2195040276 2202430984 2227309812 2257817562 2287139868 2306856591 2333372184 2344656699 2363889528 2384267886 2392295724 2463073704 2477734857 2484307098 2506214568 2560880322 2602607436 2659375719 2668329846 2679607656 2722267548 2770957917 2793687624 2795393172 2802808008 2819491389 2902908294 2923916996 3010423416 3028342603 3036375342 3039286536 3075808788 3126208932 3142898577 3166809048 3179023848 3261292034 3292560414 3303646476 3312409464 3386726343 3414507096 3430709802 3500058276 3545834292 3557773128 3588443586 3591884088 3694610556 3759321852 3769293528 3841320483 3854254222 3870544392 3903911154 4002494769 4048500456 4083401322 4190531436 4193089758 4204212012 4354362441 4385875494 4390080552 4454619624 4515635124 4554563013 4574279736 4613713182 4689313398 4768535772 4784591448 4891938051 4938840621 4955469714 4968614196 5121760644 5146064703 5205214872 5318751438 5336659692 5382665379 5444535096 5541915834 5590786344 5638982778 5781381333 5805816588 5847833992 6056685206 6072750684 6125101983 6151617576 6252417864 6285797154 6289634637 6522584068 6578813241 6585120828 6607292952 6773452686 6861419604 7000116552 7091668584 7176887172 7389221112 7433204571 7518643704 7682640966 7708508444 7807822308 8004989538 8166802644 8381062872 8386179516 8408424024 8458474167 8708724882 8771750988 9031270248 9085027809 9109126026 9227426364 9378626796 9537071544 9783876102 9877681242 9910939428 9937228392 10160179029 10243521288 10292129406 10637502876 10673319384 10765330758 11083831668 11277965556 11523961449 11562762666 11611633176 12007484307 12113370412 12145501368 12250203966 12571594308 12579269274 13045168136 13157626482 13170241656 13546905372 13663689039 13722839208 14353774344 14675814153 14866409142 15365281932 15417016888 15615644616 16009979076 16147996137 16333605288 16772359032 16916948334 17344143999 17417449764 17543501976 18170055618 18218252052 18454852728 18757253592 18868903911 19567752204 19736439723 19755362484 19821878856 20320358058 20584258812 21198398221 21275005752 21530661516 22167663336 22299613713 22555931112 23047922898 23125525332 24014968614 24226740824 24500407932 25143188616 25158538548 25375422501 26315252964 27093810744 27255083427 27327378078 29351628306 29732818284 30480537087 30730563864 32019958152 32295992274 33833896668 34571884347 34688287998 34834899528 36022452921 36340111236 36436504104 37737807822 39135504408 39472879446 39510724968 40640716116 41168517624 42396796442 43061323032 44027442459 44599227426 46095845796 46251050664 48029937228 49000815864 50317077096 50750845002 52032431997 52630505928 54510166854 54654756156 56606711733 58703256612 59209319169 59465636568 60961074174 63595194663 64591984548 66898841139 67667793336 69143768694 69376575996 72044905842 72680222472 75475615644 78945758892 81281432232 81765250281 84793592884 88054884918 89198454852 92191691592 96059874456 101501690004 104064863994 109020333708 109309512312 113213423466 117406513224 118418638338 121922148348 127190389326 129183969096 132082327377 133797682278 138287537388 138753151992 144089811684 150951231288 156097295991 157891517784 163530500562 169587185768 176109769836 177627957507 178396909704 190785583989 203003380008 208129727988 218040667416 226426846932 236837276676 243844296696 245295750843 254380778652 264164654754 267595364556 276575074776 288179623368 312194591982 327061001124 352219539672 355255915014 381571167978 396246982131 416259455976 452853693864 468291887973 473674553352 490591501686 508761557304 528329309508 535190729112 572356751967 624389183964 654122002248 710511830028 735887252529 763142335956 792493964262 936583775946 981183003372 1056658619016 1144713503934 1248778367928 1421023660056 1471774505058 1526284671912 1584987928524 1717070255901 1873167551892 1962366006744 2289427007868 2943549010116 3169975857048 3434140511802 3746335103784 4578854015736 5151210767703 5887098020232 6868281023604 10302421535406 13736562047208 20604843070812 41209686141624
- Sum of all divisors σ(n): 162985979520000
- Sum of proper divisors (its aliquot sum) s(n): 121776293378376
- 41209686141624 is an abundant number, because the sum of its proper divisors (121776293378376) is greater than itself. Its abundance is 80566607236752
Bases of 41209686141624
- Binary: 10010101111010111000001011010000101010101110002
- Hexadecimal: 0x257AE0B42AB8
- Base-36: ELVGV4JI0
Squares and roots of 41209686141624
- 41209686141624 squared (412096861416242) is 1698238231891157160185357376
- 41209686141624 cubed (412096861416243) is 69983864529941064101243520916834989018624
-
The
square root of 41209686141624 is 6419477.0925383011 -
The
cube root of 41209686141624 is 34540.8564883501
Scales and comparisons
How big is 41209686141624?- 41,209,686,141,624 seconds is equal to 1,310,340 years, 28 weeks, 3 days, 23 hours, 20 minutes, 24 seconds.
-
To count from 1 to 41,209,686,141,624 would take you about three million, two hundred seventy-five thousand, eight hundred fifty-one 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 41209686141624 cubic inches would be around 2878.4 feet tall.
Recreational maths with 41209686141624
- 41209686141624 backwards is 42614168690214
- 41209686141624 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 41209686141624's digits is 54
- 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 41209686141624 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 41209686141624 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/41209686141624/
Chicago style:
Numbermatics. 2024. "Number 41209686141624 - Facts about the integer". https://numbermatics.com/n/41209686141624/
The information we have on file for 41209686141624 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 41209686141624, math, Factors of 41209686141624, curriculum, school, college, exams, university, Prime factorization of 41209686141624, STEM, science, technology, engineering, physics, economics, calculator, forty-one trillion, two hundred nine billion, six hundred eighty-six million, one hundred forty-one thousand, six hundred twenty-four.