932486915310678
932,486,915,310,678 is an even composite number composed of seven prime numbers multiplied together.
What does the number 932486915310678 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
932486915310678 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 932486915310678:
2 × 34 × 73 × 13 × 192 × 312 × 612
(2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 19 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 932486915310678 from the Numbermatics database.
Names of 932486915310678
- Cardinal: 932486915310678 can be written as Nine hundred thirty-two trillion, four hundred eighty-six billion, nine hundred fifteen million, three hundred ten thousand, six hundred seventy-eight.
Scientific notation
- Scientific notation: 9.32486915310678 × 1014
Factors of 932486915310678
Divisors of 932486915310678
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 19 21 26 27 31 38 39 42 49 54 57 61 62 63 78 81 91 93 98 114 117 122 126 133 147 162 171 182 183 186 189 217 234 247 266 273 279 294 342 343 351 361 366 378 399 403 427 434 441 494 513 546 549 558 567 589 637 651 686 702 722 741 793 798 806 819 837 854 882 931 961 1026 1029 1053 1083 1098 1134 1159 1178 1197 1209 1274 1281 1302 1323 1482 1519 1539 1586 1638 1647 1674 1729 1767 1862 1891 1911 1922 1953 2058 2106 2166 2223 2318 2379 2394 2418 2457 2511 2527 2562 2646 2793 2821 2883 2989 3038 3078 3087 3249 3294 3458 3477 3534 3591 3627 3721 3782 3822 3843 3906 3969 4123 4446 4459 4557 4693 4758 4914 4941 5022 5054 5187 5301 5551 5586 5642 5673 5733 5766 5859 5978 6174 6498 6517 6669 6727 6954 7137 7182 7254 7371 7442 7581 7657 7686 7938 8113 8246 8379 8463 8649 8918 8967 9114 9261 9386 9747 9882 10374 10431 10602 10633 10773 10881 11102 11163 11191 11346 11466 11529 11718 12103 12369 12493 13034 13237 13338 13377 13454 13671 14079 14274 14742 15067 15162 15314 15561 15903 16226 16653 16758 16926 17019 17199 17298 17577 17689 17934 18259 18522 19494 19551 19747 20007 20181 20862 20923 21266 21411 21546 21762 22021 22326 22382 22743 22971 23058 24206 24339 24583 24738 24986 25137 25389 25947 26047 26474 26754 26901 27342 27783 28158 28861 29241 30134 31122 31293 31806 31899 32643 32851 33306 33489 33573 34038 34398 34587 35154 35378 35929 36309 36518 37107 37479 38857 39102 39494 39711 40014 40131 40362 41013 41846 42237 42822 44042 45201 45486 45942 46683 47089 47709 48373 48678 49166 49959 50274 50778 51057 51597 51894 52094 53067 53599 53802 54777 55566 56791 57722 58482 58621 58653 59241 60543 62586 62769 63798 64233 65286 65702 66063 66978 67146 68229 68913 69174 70699 71858 72618 73017 73749 74214 74958 75411 76167 77714 77841 78141 78337 79422 80262 80703 82026 84474 84721 86583 87451 90402 92659 93366 93879 94178 95418 95697 96746 98553 99918 100467 100719 102114 103194 105469 106134 107198 107787 108927 109554 111321 112437 113582 115351 116571 117242 117306 118482 119133 120393 121086 123039 123823 125538 126711 127813 128466 132126 135603 136458 137826 138229 140049 141267 141398 145119 145483 146034 147498 149877 150822 152334 153171 154147 155682 156282 156674 159201 160797 161406 164331 169442 170373 172081 173166 174902 175863 175959 177723 181629 182329 185318 187758 188307 191394 197106 198189 200934 201438 202027 204687 206739 210938 212097 215574 217854 219051 221247 222642 224874 228501 229957 230702 233142 234423 235011 237367 238266 240786 242109 246078 247646 251503 253422 254163 255626 259749 262353 271206 271999 276458 277977 280098 282534 286273 287091 290238 290966 295659 299754 301401 302157 306342 308294 316407 318402 321594 323361 326781 328662 329623 333963 337311 338611 340746 344162 346053 346921 349713 351726 351918 355446 357399 361179 363258 364658 371469 375193 376614 380133 383439 396378 397537 404054 406809 409374 410347 413478 414687 423801 424194 435357 436449 438102 442494 449631 457002 459914 462441 467077 468846 470022 474734 477603 482391 484218 492993 494893 503006 508326 511119 516243 519498 524706 527589 527877 533169 543998 544887 546987 548359 555954 564921 572546 574182 591318 594567 602802 604314 606081 612157 620217 632814 636291 646722 648613 653562 657153 659246 663741 667926 674622 677222 682651 689871 692106 693842 699426 703269 705033 712101 714798 722358 738283 742938 750386 754509 760266 762073 762489 766878 779247 787059 795074 807457 813618 815997 820694 829374 833931 847602 858819 861273 870714 872898 886977 894691 899262 906471 919087 924882 934154 949221 955206 964782 970083 980343 985986 988869 989786 1011933 1015833 1018381 1022238 1032486 1038159 1040763 1049139 1055178 1055754 1066338 1072197 1079029 1089774 1093974 1096718 1113799 1114407 1125579 1129842 1150317 1189134 1192611 1204567 1212162 1220427 1224314 1231041 1240434 1244061 1271403 1272582 1276303 1297226 1306071 1309347 1314306 1327482 1343281 1365302 1379742 1387323 1401231 1406538 1410066 1424202 1432809 1447173 1476566 1478979 1484679 1499563 1509018 1524146 1524978 1533357 1548729 1558494 1574118 1582767 1599507 1609699 1614914 1631994 1640961 1645077 1661569 1667862 1694763 1717638 1722546 1760521 1773954 1783701 1789382 1812942 1818243 1836471 1838174 1898442 1908873 1940166 1945839 1960686 1977738 1991223 2003911 2023866 2031666 2036762 2047953 2069613 2076318 2081526 2098278 2109807 2115099 2136303 2144394 2158058 2191669 2214849 2227598 2228814 2251158 2263527 2286219 2287467 2300634 2337741 2361177 2370277 2385222 2409134 2422371 2428447 2440854 2447991 2462082 2488122 2501793 2542806 2552606 2576457 2612142 2618694 2626351 2660931 2684073 2686562 2757261 2774646 2802462 2847663 2865618 2872429 2894346 2910249 2957958 2966607 2969358 2999126 3047499 3055143 3066714 3097458 3114477 3122289 3147417 3165534 3199014 3219398 3237087 3269539 3281922 3290154 3323138 3341397 3343221 3376737 3389526 3450951 3464251 3521042 3567402 3575881 3577833 3613701 3636486 3672942 3693123 3732183 3814209 3817746 3828909 3838513 3891678 3918213 3928041 3982446 4007822 4029843 4095906 4139226 4161969 4203693 4219614 4230198 4272606 4285099 4341519 4383338 4429698 4454037 4498689 4509973 4527054 4572438 4574934 4600071 4646187 4675482 4722354 4740554 4748301 4778557 4829097 4844742 4856894 4895982 4922883 4935231 4984707 5003586 5152914 5167981 5252702 5281563 5321862 5334511 5368146 5454729 5509413 5514522 5652199 5695326 5726619 5744858 5820498 5837517 5933214 6011733 6094998 6110286 6143859 6208839 6228954 6244578 6262837 6294834 6345297 6408909 6433609 6474174 6539078 6575007 6644547 6682794 6686442 6753474 6790581 6858657 6862401 6901902 6928502 7083531 7110831 7128667 7151762 7155666 7227402 7267113 7285341 7343973 7386246 7464366 7505379 7553203 7628418 7657818 7677026 7729371 7796593 7836426 7856082 7879053 8052219 8059686 8271783 8323938 8407386 8431969 8542989 8570198 8617287 8683038 8874463 8899821 8908074 8997378 9019946 9142497 9165429 9200142 9292374 9343431 9366867 9402967 9496602 9557114 9658194 9711261 9808617 9845766 9870462 9969414 10024191 10029663 10130211 10335962 10352853 10392753 10496941 10563126 10669022 10727643 10733499 10841103 10909458 11018826 11079369 11196549 11304398 11453238 11486727 11515539 11630983 11675034 11784123 12023466 12089529 12287718 12323647 12417678 12485907 12525674 12611079 12690594 12817818 12855297 12867218 13150014 13289094 13362111 13496067 13529919 13581162 13717314 13724802 13938561 14027377 14167062 14221662 14257334 14335671 14479387 14487291 14534226 14570682 14687946 14768649 14805693 14954121 15010758 15106406 15341683 15458742 15503943 15593186 15758106 15844689 16003533 16104438 16364187 16528239 16543566 16591939 16863938 16956597 16999129 17085978 17234574 17462653 17512551 17748926 17799642 18035199 18284994 18330858 18431577 18626517 18686862 18733734 18788511 18805934 19226727 19300827 19422522 19617234 19725021 19933641 20048382 20059326 20107003 20260422 20371743 20575971 20705706 20785506 20993882 21162181 21332493 21386001 21455286 21466998 21682206 21801339 21856023 22031919 22158738 22393098 22659609 22886773 22973454 23031078 23188113 23261966 23389779 23568246 23637159 24156657 24179058 24249757 24647294 24815349 24971814 25031167 25222158 25295907 25710594 25851861 26623389 26699463 26724222 26992134 27059838 27427491 27496287 27877122 28054754 28100601 28208901 28491697 28671342 28958774 28974582 29133783 29425851 29537298 29611386 29908242 30072573 30390633 30683366 31007886 31178259 31490823 31569811 31689378 32007066 32182929 32200497 32523309 32728374 33056478 33183878 33238107 33449899 33913194 33998258 34460181 34546617 34892949 34925306 35025102 36070398 36268587 36863154 36970941 37253034 37341577 37577022 37833237 38453454 38565891 38601654 39450042 39565393 39867282 40086333 40214006 40488201 40589757 40743486 41151942 41641711 42082131 42324362 42664986 42772002 43007013 43438161 43461873 43602678 43712046 44063838 44417079 44862363 45035263 45319218 45773546 46025049 46376226 46486453 46511829 46779558 47274318 47534067 48010599 48313314 48499514 49584717 49630698 49775817 49900669 50062334 50591814 50869791 50997387 51703722 52387959 52537653 53246778 53398926 54105597 54576151 54854982 54992574 55294731 56201202 56365533 56417802 56983394 57902481 58267566 58851702 59175063 59800923 60145146 60321009 60781266 61727913 62121241 62356518 62981646 63139622 63486543 63997479 64158003 64365858 64400994 65046618 65404017 65568069 65820769 66476214 66899798 67941739 67978827 68660319 68920362 69093234 69785898 70169337 70911477 72469971 72537174 72749271 73478587 73941882 74446047 74683154 75093501 75666474 75887721 77131782 77555583 79130786 79870167 80172666 80976402 81179514 81416881 82488861 83283422 84164262 84626703 85475091 86014026 86876322 86923746 87401349 88277553 88834158 89724726 90070526 90217719 92050098 92972906 93023658 93534777 94472469 94709433 95068134 96021198 96548787 97569927 98191639 99169434 99551634 99801338 100349697 101355709 101739582 101994774 103380543 103639851 104678847 104775918 105075306 107391781 108211194 108805761 109152302 110589462 110912823 112024731 112731066 115697673 115804962 118350126 118696179 118993903 119601846 120642018 121464603 121769271 122238571 123455826 124242482 124925133 126246393 126973086 127994958 128316006 129021039 130314483 130385619 130808034 131136138 131641538 134587089 135105789 135883478 135957654 137320638 138075147 139459359 139535487 140338674 141822954 142602201 144031797 144939942 145498542 146957174 148135267 148892094 149327451 149702007 150187002 151775442 152609373 152992161 155111166 157163877 159740334 160207411 162316791 162833762 163728453 164977722 169096599 169253406 170950182 173707443 174802698 175218169 176555106 177525189 180435438 180963027 186363723 187069554 188944938 189418866 190459629 191992437 192474009 193097574 195139854 196383278 196704207 197462307 199441879 200699394 202711418 203825217 203936481 205980957 206761086 207279702 209357694 210508011 212734431 214783562 217611522 218247813 220435761 220988677 221825646 224049462 225280503 227663163 231395346 232666749 234149293 237392358 237987806 239610501 242929206 243538542 244250643 244477142 249850266 252492786 253880109 256425273 258042078 260628966 260771238 261391039 264832659 269174178 270211578 275108353 276150294 278918718 279070974 280604331 283417407 284128299 285204402 288063594 289646361 291491977 294574917 296270534 298654902 299404014 301049091 304067127 305218746 305984322 310919553 314036541 314327754 315246841 320414822 322175343 324633582 325405171 327456906 332738469 336074193 338193198 347093019 347414886 350436338 355050378 356088537 356981709 361926054 365307813 366715713 372727446 374775399 378739179 380919258 382033057 383984874 384948018 387063117 390943449 393408414 394924614 398883758 405317367 407650434 407872962 411961914 414225441 418378077 418606461 421016022 425468862 432095391 434848687 436495626 440871522 441977354 444405801 447982353 449106021 450561006 455326326 457828119 458976483 460745383 465333498 468298586 471491631 475592173 479221002 480622233 488501286 491185359 507289797 507760218 512850546 514350109 521122329 522782078 525654507 529665318 541342243 542889081 550216706 559091169 561208662 566834814 568256598 571378887 577422027 579292722 582983954 589149834 592386921 598325637 602098182 608134254 611475651 611809443 617942871 621839106 628073082 630493682 631524033 644350686 650810342 654743439 661307283 662966031 665476938 672148386 675841509 682989489 694186038 702447879 709489963 712177074 713963418 718831503 730615626 732751929 733431426 749550798 751742467 757478358 761640327 764066114 769275819 774126234 781886898 784173117 810634734 825325059 828450882 836756154 837212922 850252221 852384897 855669997 864190782 869697374 874475931 883242607 883724751 888811602 895964706 898212042 903147273 912201381 915656238 917952966 921490766 942109623 942983262 945740523 951184346 961244466 966526029 976215513 982370718 998215407 1008222579 1014579594 1028700218 1036946869 1042244658 1051309014 1068265611 1070945127 1082684486 1085778162 1100147139 1118182338 1124326197 1136217537 1142757774 1146099171 1154844054 1172830347 1184773842 1196651274 1215952101 1222951302 1223618886 1226527183 1235885742 1242676323 1255134231 1263048066 1290893041 1304546061 1309486878 1322614566 1325932062 1333217403 1343947059 1347318063 1351683018 1365978978 1376929449 1382236149 1396093153 1404895758 1414474893 1418979926 1426776519 1437663006 1441866699 1465503858 1473556077 1503484934 1523280654 1538551638 1543050327 1546920739 1568346234 1576963521 1624026729 1628667243 1650650118 1677273507 1700504442 1704769794 1711339994 1714136661 1748951862 1766485214 1767449502 1777160763 1794976911 1806294546 1824402762 1834426953 1853828613 1884219246 1891481046 1925758471 1933052058 1952431026 1964230317 1983921849 1988898093 1996430814 2016445158 2027524527 2040443839 2073893738 2107343637 2128469889 2136531222 2141890254 2198255787 2200294278 2248652394 2255227401 2272435074 2277836197 2292198342 2307827457 2345660694 2352519351 2431904202 2453054366 2475975177 2485352646 2510268462 2557154691 2567009991 2581786082 2609092122 2623427793 2649727821 2651174253 2666434806 2687894118 2694636126 2709441819 2736604143 2753858898 2764472298 2792186306 2828949786 2837221569 2853553038 2883733398 2899578087 2928646539 2947112154 3024667737 3043940809 3086100654 3093841478 3110840607 3153927042 3204796833 3212835381 3248053458 3257334486 3300441417 3329145211 3354547014 3372978591 3428273322 3438297513 3554321526 3589953822 3647856303 3668853906 3679581549 3707657226 3765402693 3789395701 3851516942 3872679123 3913638183 3928460634 3967843698 3977796186 3999652209 4041954189 4055049054 4080887678 4146708447 4188279459 4214687274 4256939778 4280329557 4325600097 4396511574 4420668231 4510454802 4555672394 4615654914 4629150981 4640762217 4705038702 4730890563 4872080187 4951950354 4966429741 5031820521 5114309382 5134019982 5246855586 5299455642 5302348506 5331482289 5384930733 5418883638 5473208286 5503280859 5674443138 5777275413 5799156174 5857293078 5951765547 5966694279 5989689979 6049335474 6087881618 6121331517 6182698249 6221681214 6322030911 6385409667 6409593666 6425670762 6594767361 6600882834 6658290422 6745957182 6765682203 6833508591 6876595026 7057558053 7258628083 7295712606 7359163098 7427925531 7530805386 7578791402 7701029973 7745358246 7827276366 7870283379 7949183463 7953522759 7999304418 8083908378 8209812429 8293416894 8376558918 8511664707 8560659114 8651200194 8698734261 8785939617 8841336462 9036251287 9131822427 9258301962 9281524434 9332521821 9461781126 9638506143 9744160374 9772652071 9901324251 9932859482 9987435633 10063641042 10314892539 10662964578 10769861466 11006561718 11038744647 11368187103 11554550826 11618037369 11740914549 11903531094 11933388558 11979379958 11998956627 12242663034 12365396498 12440125341 12564838377 12644061822 12770819334 12840988671 12976800291 13189534722 13480309297 13531364406 13667017182 13887452943 13922286651 14115116106 14192671689 14283106873 14517256166 14616240561 14855851062 14899289223 15402059946 15740566758 15898366926 15907045518 15944853379 16154792199 16419624858 16781609533 17023329414 17331826239 17397468522 17571879234 17900082837 17969069937 18072502574 18263644854 18363994551 18548094747 18665043642 18966092733 19156229001 19277012286 19545304142 19802648502 19974871266 20297046609 20500525773 20629785078 21172674159 21775884249 22077489294 22283776593 22736374206 23103089919 23236074738 23304016477 23481829098 23610850137 23847550389 23997913254 24880250682 25129676754 25534994121 25681977342 25953600582 26357818851 26525769907 26960618594 27108753861 27395467281 27774905886 27844573302 27997565463 28385343378 28566213746 29232481122 29317956213 29798578446 29962306899 30944677617 31889706758 32309584398 33116233941 33563219066 34104561309 34663652478 34854112107 35222743647 35800165674 35938139874 36727989102 37096189494 37320376023 37694515131 37932185466 38312458002 38522966013 40440927891 40594093218 41001051546 41662358829 41766859953 42345348318 42849320619 43278887743 43551768498 43848721683 44567553186 44697867669 46206179838 46608032954 47221700274 47695100778 47834560137 50344828599 51069988242 51995478717 52715637702 53051539814 53907209811 54217507722 54790934562 55091983653 55644284241 55995130926 57468687003 58635912426 59924613798 60891139827 61501577319 61889355234 63253759009 65327652747 66232467882 68209122618 69309269757 69708224214 69912049431 70445487294 71542651167 74640752046 75389030262 77045932026 79577309721 80881855782 81326261583 82186401843 83324717658 83533719906 83992696389 85698641238 86557775486 87697443366 87953868639 89395735338 89886920697 94362165079 95669120274 99348701823 100689657198 102313683927 103990957434 104562336321 107814419622 110183967306 111288568482 113083545393 114937374006 117471266731 121322783673 121782279654 123003154638 125300579859 126507518018 128547961857 129836663229 130655305494 134093603007 138618539514 139824098862 143085302334 143503680411 151034485797 155986436151 159154619442 161721629433 162652523166 164372803686 165275950959 166932852723 167985392778 175907737278 179773841394 184504731957 185680389349 188724330158 189761277027 195982958241 198697403646 204627367854 209124672642 209736148293 226167090786 234942533462 238731929163 242645567346 243978784749 246559205529 250601159718 257095923714 259673326458 263861605917 268187206014 269660762091 283086495237 287007360822 302068971594 302952214201 306941051781 311972872302 323443258866 330551901918 333865705446 352413800193 363968351019 369009463914 371360778698 379522554054 385643885571 389509989687 391965916482 402280809021 419472296586 430511041233 442776313063 453103457391 477463858326 485164888299 487957569498 493118411058 500798558169 527723211834 539321524182 557041168047 566172990474 569283831081 587948874723 605904428402 613882103562 629208444879 704827600386 716195787489 727936702038 731936354247 771287771142 779019979374 791584817751 804561618042 822298867117 849259485711 861022082466 885552626126 906206914782 908856642603 970329776598 1001597116338 1057241400579 1091905053057 1114082336094 1138567662162 1156931656713 1168529969061 1175897749446 1258416889758 1291533123699 1328328939189 1359310372173 1432391574978 1463872708494 1583169635502 1644597734234 1671123504141 1698518971422 1707851493243 1817713285206 1887625334637 2114482801158 2148587362467 2183810106114 2313863313426 2337059938122 2466896601351 2547778457133 2583066247398 2656657878378 2718620744346 2726569927809 3171724201737 3342247008282 3415702986486 3505589907183 3775250669274 3984986817567 4297174724934 4933793202702 5013370512423 5095556914266 5123554479729 5453139855618 5756092069819 6343448403474 7011179814366 7400689804053 7643335371399 7969973635134 8179709783427 9515172605211 10026741024846 10247108959458 11512184139638 11954960452701 14801379608106 15040111537269 15286670742798 16359419566854 17268276209457 19030345210422 22202069412159 23909920905402 24539129350281 30080223074538 34536552418914 35864881358103 44404138824318 49078258700562 51804828628371 66606208236477 71729762716206 103609657256742 133212416472954 155414485885113 310828971770226 466243457655339 932486915310678
- Sum of all divisors σ(n): 2909411944639200
- Sum of proper divisors (its aliquot sum) s(n): 1976925029328522
- 932486915310678 is an abundant number, because the sum of its proper divisors (1976925029328522) is greater than itself. Its abundance is 1044438114017844
Bases of 932486915310678
- Binary: 110101000000010111100001110101100001000100010101102
- Hexadecimal: 0x3501787584456
- Base-36: 96JEKP9ZDI
Squares and roots of 932486915310678
- 932486915310678 squared (9324869153106782) is 869531847225623564653260819684
- 932486915310678 cubed (9324869153106783) is 810827069983817441987184504256850199797785752
-
The
square root of 932486915310678 is 30536648.7242899331 -
The
cube root of 932486915310678 is 97696.9297090587
Scales and comparisons
How big is 932486915310678?- 932,486,915,310,678 seconds is equal to 29,650,199 years, 27 weeks, 5 days, 21 hours, 51 minutes, 18 seconds.
-
To count from 1 to 932,486,915,310,678 would take you about seventy-four million, one hundred twenty-five thousand, four hundred ninety-eight 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 932486915310678 cubic inches would be around 8141.4 feet tall.
Recreational maths with 932486915310678
- 932486915310678 backwards is 876013519684239
- The number of decimal digits it has is: 15
- The sum of 932486915310678's digits is 72
- 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 932486915310678 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 932486915310678 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/932486915310678/
Chicago style:
Numbermatics. 2024. "Number 932486915310678 - Facts about the integer". https://numbermatics.com/n/932486915310678/
The information we have on file for 932486915310678 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 932486915310678, math, Factors of 932486915310678, curriculum, school, college, exams, university, Prime factorization of 932486915310678, STEM, science, technology, engineering, physics, economics, calculator, nine hundred thirty-two trillion, four hundred eighty-six billion, nine hundred fifteen million, three hundred ten thousand, six hundred seventy-eight.