486409868026206432
486,409,868,026,206,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 486409868026206432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
486409868026206432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 486409868026206432:
25 × 3 × 7 × 113 × 413 × 534
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 41 × 41 × 41 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 486409868026206432 from the Numbermatics database.
Names of 486409868026206432
- Cardinal: 486409868026206432 can be written as Four hundred eighty-six quadrillion, four hundred nine trillion, eight hundred sixty-eight billion, twenty-six million, two hundred six thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.86409868026206432 × 1017
Factors of 486409868026206432
Divisors of 486409868026206432
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 41 42 44 48 53 56 66 77 82 84 88 96 106 112 121 123 132 154 159 164 168 176 212 224 231 242 246 264 287 308 318 328 336 352 363 371 424 451 462 484 492 528 574 583 616 636 656 672 726 742 847 848 861 902 924 968 984 1056 1113 1148 1166 1232 1272 1312 1331 1353 1452 1484 1681 1694 1696 1722 1749 1804 1848 1936 1968 2173 2226 2296 2332 2464 2541 2544 2662 2706 2809 2904 2968 3157 3362 3388 3444 3498 3608 3696 3872 3936 3993 4081 4346 4452 4592 4664 4961 5043 5082 5088 5324 5412 5618 5808 5936 6314 6413 6519 6724 6776 6888 6996 7216 7392 7986 8162 8427 8692 8904 9184 9317 9328 9471 9922 10086 10164 10648 10824 11236 11616 11767 11872 12243 12628 12826 13038 13448 13552 13776 13992 14432 14883 15211 15972 16324 16854 17384 17808 18491 18634 18656 18942 19239 19663 19844 20172 20328 21296 21648 22472 23534 23903 24486 25256 25652 26076 26896 27104 27552 27951 27984 29766 30422 30899 31944 32648 33708 34727 34768 35301 35616 36982 37268 37884 38478 39326 39688 40344 40656 42592 43296 44891 44944 45633 47068 47806 48972 50512 51304 52152 53792 54571 55473 55902 55968 58989 59532 60844 61798 63888 65296 67416 68921 69454 69536 70543 70602 71709 73964 74536 75768 76956 78652 79376 80688 81312 89093 89782 89888 91266 92697 94136 95612 97944 101024 102608 104181 104304 109142 110946 111804 115169 117978 119064 121688 123596 127776 129437 130592 134673 134832 137842 138908 141086 141204 143418 147928 148877 149072 151536 153912 157304 158752 161376 163713 167321 178186 179564 182532 185394 188272 191224 195888 203401 205216 206763 208362 208608 211629 216293 218284 221892 223608 230338 235956 238128 243376 247192 258874 262933 267279 269346 269664 275684 277816 282172 282408 286836 295856 297754 298144 303072 307824 314608 327426 334642 339889 345507 356372 359128 365064 370788 376544 381997 382448 388311 391776 406802 413526 416724 423258 432586 436568 443784 446631 447216 460676 471912 476256 482447 486752 493801 494384 501963 517748 525866 534558 538692 551368 555632 564344 564816 573672 591712 595508 610203 615648 623651 629216 648879 654852 669284 679778 691014 712744 718256 730128 741576 758131 763994 764896 776622 788799 806183 813604 827052 833448 846516 865172 873136 887568 893262 894432 921352 943824 964894 980023 987602 988768 1003926 1019667 1035496 1042139 1051732 1069116 1077384 1102736 1111264 1128688 1129632 1145991 1147344 1191016 1220406 1247302 1266859 1297758 1309704 1338568 1359556 1382028 1423807 1425488 1436512 1447341 1460256 1481403 1483152 1516262 1527988 1553244 1577598 1612366 1627208 1637647 1654104 1666896 1693032 1730344 1746272 1775136 1786524 1840531 1842704 1870953 1887648 1929788 1960046 1975204 2007852 2039334 2070992 2084278 2103464 2138232 2154768 2205472 2237411 2257376 2274393 2291982 2294688 2379223 2382032 2418549 2440812 2494604 2533718 2595516 2619408 2677136 2719112 2764056 2847614 2850976 2892263 2894682 2940069 2962806 2966304 3032524 3055976 3106488 3126417 3155196 3224732 3254416 3275294 3308208 3333792 3386064 3460688 3573048 3652813 3681062 3685408 3738779 3741906 3800577 3859576 3920092 3950408 4015704 4078668 4141984 4168556 4206928 4271421 4276464 4309536 4474822 4548786 4583964 4721929 4758446 4764064 4837098 4881624 4912941 4989208 5067436 5191032 5238816 5306917 5354272 5438224 5521593 5528112 5695228 5784526 5789364 5880138 5925612 6065048 6103957 6111952 6212976 6252834 6310392 6449464 6508832 6550588 6616416 6712233 6772128 6860161 6921376 7137669 7146096 7305626 7362124 7477558 7483812 7601154 7719152 7840184 7890481 7900816 8031408 8157336 8337112 8339441 8413856 8542842 8552928 8676789 8868013 8949644 9097572 9167928 9443858 9516892 9674196 9763248 9825882 9978416 10134872 10382064 10613834 10780253 10876448 10958439 11043186 11056224 11216337 11390456 11463529 11569052 11578728 11760276 11851224 12130096 12207914 12223904 12425952 12505668 12620784 12898928 13101176 13424466 13720322 13935449 14165787 14275338 14292192 14611252 14724248 14955116 14967624 15202308 15438304 15661877 15680368 15780962 15801632 15920751 16062816 16314672 16674224 16678882 17085684 17353578 17736026 17899288 18014117 18195144 18311871 18335856 18887716 19033784 19348392 19526496 19651764 19956832 20245841 20269744 20580483 20764128 21227668 21560506 21916878 22086372 22432674 22780912 22927058 23138104 23157456 23520552 23671443 23702448 24260192 24415828 25011336 25018323 25241568 25569691 25797856 26171453 26202352 26604039 26848932 27440644 27870898 28331574 28550676 29222504 29448496 29910232 29935248 30404616 31323754 31360736 31561924 31841502 32340759 32629344 33053503 33348448 33357764 34171368 34390587 34707156 35472052 35798576 36028234 36390288 36623742 36671712 37775432 38067568 38696784 39303528 40180943 40491682 40539488 41160966 41806347 42455336 42727699 43121012 43833756 44172744 44865348 45561824 45854116 46276208 46314912 46985631 47041104 47342886 47404896 48831656 50022672 50036646 51139382 51941219 52342906 52404704 53208078 53697864 54042351 54881288 55233367 55741796 56663148 57101352 58376087 58445008 58896992 59820464 59870496 60737523 60809232 62647508 63123848 63683004 64681518 66107006 66715528 67143527 68342736 68781174 69414312 70944104 71597152 72056468 72780576 73247484 75461771 75550864 76135136 76709073 77393568 78514359 78607056 80361886 80983364 82321932 83612694 84910672 85455398 86242024 86795291 87667512 88345488 89730696 91708232 91733851 92552416 93971262 94082208 94685772 97548143 97663312 99160509 100045344 100073292 102278764 103882438 104685812 106416156 107395728 108084702 109762576 110466734 111483592 113326296 114202704 116752174 116890016 118582783 119640928 120542829 121475046 121618464 125295016 126098819 126247696 127366008 128183097 129363036 132214012 133431056 134287054 136685472 137562348 138828624 141888208 144112936 146494968 150923542 151101728 153289939 153418146 155823657 157028718 157214112 160723772 161966728 164643864 165700101 167225388 169821344 170910796 172484048 173590582 175128261 175335024 176690976 179461392 183416464 183467702 187942524 189371544 193599089 195096286 195326624 198155287 198321018 200146584 201430581 204557528 207764876 209371624 212832312 214791456 216169404 219525152 220933468 222967184 226385313 226652592 228405408 233504348 237165566 241085658 242950092 250262237 250590032 252197638 252495392 254732016 256366194 258726072 260385873 264428024 266862112 268574108 275124696 275201553 277657248 281266601 283776416 288225872 292644429 292989936 301847084 306579878 306836292 311647314 314057436 321447544 323509721 323933456 329287728 331400202 334450776 341821592 344968096 347181164 350256522 350670048 355748349 358922784 363588533 366832928 366935404 375885048 378296457 378743088 387198178 390192572 396310574 396642036 400293168 402861162 409115056 415529752 418743248 425664624 432338808 441866936 441990373 445934368 452770626 453305184 459869817 467008696 470004689 474331132 482171316 485900184 500524474 501180064 504395276 509464032 512732388 517452144 520771746 528856048 537148216 550249392 550403106 562533202 571353409 576451744 580797267 585288858 585979872 594465861 603694168 607567037 613159756 613672584 623294628 628114872 642136957 642895088 647019442 647866912 658575456 662800404 668901552 683643184 694362328 700513044 711496698 727177066 733870808 738578797 750786711 751770096 756592914 757486176 774396356 780385144 792621148 793284072 800586336 805722324 818230112 830079481 831059504 837486496 843799803 851329248 864677616 883733872 883980746 905541252 919739634 934017392 940009378 948662264 954748201 964342632 970529163 971800368 1001048948 1008790552 1025464776 1034904288 1041543492 1057712096 1073029573 1074296432 1090765599 1100498784 1100806212 1125066404 1142706818 1161594534 1170577716 1188931722 1207388336 1215134074 1226319512 1227345168 1246589256 1256229744 1284273914 1285790176 1294038884 1325600808 1325971119 1337803104 1355193623 1367286368 1387087009 1388724656 1401026088 1410014067 1422993396 1454354132 1467741616 1477157594 1501573422 1503540192 1513185828 1548792712 1560770288 1585242296 1586568144 1611444648 1660158962 1662119008 1687599606 1714060227 1729355232 1751835659 1767467744 1767961492 1811082504 1822701111 1839479268 1868034784 1880018756 1897324528 1909496402 1926410871 1928685264 1941058326 1943600736 2002097896 2017581104 2050929552 2083086984 2129589979 2146059146 2148592864 2181531198 2201612424 2215736391 2250132808 2264568047 2285413636 2323189068 2341155432 2377863444 2414776672 2430268148 2452639024 2454690336 2490238443 2493178512 2512459488 2568547828 2588077768 2651201616 2651942238 2710387246 2752884607 2774174018 2777449312 2802052176 2820028134 2845986792 2864244603 2908708264 2935483232 2954315188 3003146844 3026371656 3093932611 3097585424 3121540576 3170484592 3173136288 3219088719 3222889296 3320317924 3375199212 3428120454 3503671318 3535922984 3558606931 3622165008 3645402222 3678958536 3760037512 3794649056 3818992804 3852821742 3857370528 3882116652 3999473863 4004195792 4035162208 4065580869 4101859104 4161261027 4166173968 4259179958 4292118292 4363062396 4403224848 4431472782 4500265616 4529136094 4570827272 4646378136 4682310864 4755726888 4860536296 4861894103 4905278048 4980476886 4986357024 5137095656 5170051579 5176155536 5255506977 5302403232 5303884476 5420774492 5505769214 5548348036 5604104352 5640056268 5691973584 5728489206 5817416528 5908630376 6006293688 6052743312 6187865222 6195170848 6284887499 6340969184 6388769937 6438177438 6445778592 6640635848 6683237407 6750398424 6793704141 6856240908 7007342636 7071845968 7117213862 7244330016 7290804444 7357917072 7520075024 7637985608 7705643484 7764233304 7998947726 8008391584 8124366767 8131161738 8258653821 8322522054 8332347936 8518359916 8584236584 8726124792 8806449696 8862945564 9000531232 9058272188 9141654544 9281797833 9292756272 9364621728 9511453776 9721072592 9723788206 9960953772 10260751717 10274191312 10340103158 10352311072 10502230211 10511013954 10607768952 10675820793 10841548984 11011538428 11096696072 11280112536 11383947168 11456978412 11634833056 11817260752 11998421589 12012587376 12105486624 12375730444 12569774998 12777539874 12876354876 13263898561 13281271696 13366474814 13500796848 13587408282 13712481816 14014685272 14143691936 14234427724 14581608888 14585682309 14715834144 14907129853 15040150048 15275971216 15411286968 15510154737 15528466608 15997895452 16248733534 16262323476 16517307642 16645044108 17036719832 17168473168 17452249584 17725891128 18116544376 18283309088 18563595666 18585512544 18854662497 19022907552 19270192249 19442145184 19447576412 19921907544 20049712221 20521503434 20548382624 20680206316 21004460422 21022027908 21215537904 21351641586 21683097968 22023076856 22193392144 22560225072 22913956824 23425489769 23634521504 23996843178 24025174752 24373100301 24751460888 24910248517 25139549996 25555079748 25752709752 26527797122 26562543392 26732949628 27001593696 27174816564 27424963632 28029370544 28468855448 29163217776 29171364618 29814259706 30281730677 30551942432 30782255151 30822573936 31020309474 31056933216 31506690633 31995790904 32497467068 32524646952 33034615284 33290088216 34033258721 34073439664 34336946336 34904499168 35451782256 36233088752 37127191332 37709324994 38540384498 38895152824 39144676241 39791695683 39843815088 40099424442 41043006868 41360412632 42008920844 42044055816 42431075808 42703283172 43366195936 43994212493 44046153712 44386784288 44721389559 45120450144 45827913648 46850979538 47993686356 48746200602 49502921776 49820497034 50279099992 51110159496 51505419504 53055594244 53465899256 54349633128 54849927264 56058741088 56870567369 56937710896 57810576747 58326435552 58342729236 59628519412 60563461354 61564510302 61645147872 62040618948 63013381266 63991581808 64994934136 65049293904 66069230568 66580176432 68066517442 68146879328 70276469307 70903564512 71825262019 72466177504 73515611477 74254382664 74730745551 75418649988 77080768996 77790305648 78289352482 79583391366 79687630176 80198848884 82086013736 82720825264 84017841688 84088111632 85406566344 87988424986 88092307424 89442779118 90845192031 91655827296 92847289927 93701959076 95987372712 97492401204 99005843552 99640994068 100558199984 102099776163 102220318992 103010839008 106111188488 106931798512 108699266256 112868268887 113741134738 113875421792 115621153494 116685458472 117434028723 119257038824 121126922708 123129020604 124081237896 126026762532 127983163616 129989868272 130098587808 131982637479 132138461136 133160352864 136133034884 140552938614 143650524038 145902884171 147031222954 148508765328 149461491102 150837299976 154161537992 155580611296 156578704964 159166782732 160397697768 163978428383 164172027472 165441650528 168035683376 168176223264 170611702107 170813132688 175976849972 178885558236 181690384062 185694579854 187403918152 191974745424 194984802408 199281988136 201116399968 204199552326 204440637984 211972114739 212222376976 213863597024 215475786057 217398532512 220546834431 225736537774 227482269476 231242306988 233370916944 234868057446 238514077648 242253845416 246258041208 248162475792 252053525064 257680387459 259979736544 263965274958 264276922272 272266069768 274012733687 278541869781 281105877228 287301048076 291805768342 294062445908 297017530656 298922982204 301674599952 308323075984 313157409928 318333565464 320795395536 327956856766 328344054944 333099037447 336071366752 338604806661 341223404214 341626265376 351953699944 357771116472 363380768124 371389159708 374807836304 383949490848 389969604816 398563976272 408399104652 423944229478 424444753952 430591438651 430951572114 437708652513 441093668862 451473075548 454964538952 462484613976 466741833888 469736114892 477028155296 484507690832 491935285149 492516082416 496324951584 504107050128 515360774918 527930549916 543819841001 544532139536 548025467374 557083739562 562211754456 574602096152 583611536684 588124891816 597845964408 603349199904 616646151968 626314819856 635916344217 636667130928 641590791072 655913713532 666198074894 677209613322 682446808428 703907399888 715542232944 726761536248 742778319416 749615672608 773041162377 779939209632 790077882209 797127952544 816798209304 822038201061 847888458956 861182877302 861903144228 875417305026 882187337724 902946151096 909929077904 924969227952 939472229784 969015381664 983870570298 985032164832 999297112341 1008214100256 1021320189197 1030721549836 1055861099832 1087639682002 1089064279072 1096050934748 1114167479124 1124423508912 1149204192304 1167223073368 1176249783632 1195691928816 1241550957757 1252629639712 1271832688434 1273334261856 1291774315953 1311827427064 1332396149788 1354419226644 1364893616856 1407814799776 1431084465888 1453523072496 1485556638832 1546082324754 1580155764418 1604931725881 1631459523003 1633596418608 1644076402122 1695776917912 1722365754604 1723806288456 1750834610052 1764374675448 1803762712213 1805892302192 1819858155808 1849938455904 1878944459568 1967741140596 1998594224682 2042640378394 2061443099672 2111722199664 2175279364004 2192101869496 2228334958248 2248847017824 2298408384608 2331693262129 2334446146736 2352499567264 2370233646627 2391383857632 2483101915514 2543665376868 2583548631906 2623654854128 2664792299576 2708838453288 2729787233712 2907046144992 2971113277664 3014140070557 3063960567591 3092164649508 3160311528836 3209863451762 3262919046006 3267192837216 3288152804244 3391553835824 3444731509208 3447612576912 3501669220104 3528749350896 3607525424426 3611784604384 3724652873271 3757888919136 3806738887007 3935482281192 3997188449364 4085280756788 4122886199344 4223444399328 4350558728008 4384203738992 4456669916496 4663386524258 4668892293472 4740467293254 4814795177643 4966203831028 5087330753736 5167097263812 5247309708256 5329584599152 5411288136639 5417676906576 5459574467424 5982018251011 6028280141114 6127921135182 6184329299016 6320623057672 6419726903524 6525838092012 6576305608488 6783107671648 6889463018416 6895225153824 6995079786387 7003338440208 7057498701792 7215050848852 7449305746542 7613477774014 7870964562384 7994376898728 8170561513576 8245772398688 8690856704299 8701117456016 8768407477984 8913339832992 9042420211671 9326773048516 9480934586508 9629590355286 9932407662056 10174661507472 10334194527624 10659169198304 10822576273278 10835353813152 11234522081167 11420216661021 11964036502022 12056560282228 12255842270364 12368658598032 12641246115344 12839453807048 13051676184024 13152611216976 13657060535327 13778926036832 13990159572774 14006676880416 14430101697704 14898611493084 15226955548028 15741929124768 15988753797456 16341123027152 17381713408598 17402234912032 17654248984691 17946054753033 18084840423342 18653546097032 18961869173016 19259180710572 19864815324112 20349323014944 20668389055248 21645152546556 22469044162334 22840433322042 23928073004044 24113120564456 24511684540728 24737317196064 25282492230688 25678907614096 26072570112897 26103352368048 26305222433952 27314121070654 27980319145548 28860203395408 29797222986168 30453911096056 31977507594912 32682246054304 33703566243501 34763426817196 35308497969382 35892109506066 36169680846684 37307092194064 37923738346032 38518361421144 39729630648224 40971181605981 41336778110496 41874127757077 43290305093112 44938088324668 45680866644084 47856146008088 48226241128912 49023369081456 51357815228192 52145140225794 52206704736096 52962746954073 54628242141308 55960638291096 57720406790816 59594445972336 60907822192112 65802200761121 67407132487002 69526853634392 70616995938764 71784219012132 72339361693368 74614184388128 75847476692064 77036722842288 81942363211962 83748255514154 86580610186224 89876176649336 91361733288168 95599423747289 95712292016176 96452482257824 98046738162912 104290280451588 105925493908146 109256484282616 111921276582192 119188891944672 121815644384224 123579742892837 125622383271231 131604401522242 134814264974004 139053707268784 141233991877528 143568438024264 144678723386736 154073445684576 163884726423924 167496511028308 173161220372448 179752353298672 182723466576336 191198847494578 191424584032352 197406602283363 208580560903176 211850987816292 218512968565232 223842553164384 247159485785674 251244766542462 263208803044484 269628529948008 278107414537568 282467983755056 286798271241867 287136876048528 289357446773472 327769452847848 334993022056616 359504706597344 365446933152672 370739228678511 382397694989156 394813204566726 417161121806352 423701975632584 437025937130464 460615405327847 494318971571348 502489533084924 526417606088968 539257059896016 564935967510112 573596542483734 574273752097056 655538905695696 669986044113232 723824208372331 741478457357022 764795389978312 789626409133452 834322243612704 847403951265168 921230810655694 988637943142696 1004979066169848 1052835212177936 1078514119792032 1147193084967468 1311077811391392 1339972088226464 1381846215983541 1447648416744662 1482956914714044 1529590779956624 1579252818266904 1694807902530336 1842461621311388 1977275886285392 2009958132339696 2105670424355872 2171472625116993 2294386169934936 2763692431967082 2895296833489324 2965913829428088 3059181559913248 3158505636533808 3684923242622776 3954551772570784 4019916264679392 4342945250233986 4588772339869872 5066769458606317 5527384863934164 5790593666978648 5931827658856176 6317011273067616 7369846485245552 8685890500467972 9177544679739744 10133538917212634 11054769727868328 11581187333957296 11863655317712352 14739692970491104 15200308375818951 17371781000935944 20267077834425268 22109539455736656 23162374667914592 30400616751637902 34743562001871888 40534155668850536 44219078911473312 60801233503275804 69487124003743776 81068311337701072 121602467006551608 162136622675402144 243204934013103216 486409868026206432
- Sum of all divisors σ(n): 1676806271712101376
- Sum of proper divisors (its aliquot sum) s(n): 1190396403685894944
- 486409868026206432 is an abundant number, because the sum of its proper divisors (1190396403685894944) is greater than itself. Its abundance is 703986535659688512
Bases of 486409868026206432
- Binary: 110110000000001001100110010101001101111001001011000111000002
- Hexadecimal: 0x6C01332A6F258E0
- Base-36: 3P1DWOK46CIO
Squares and roots of 486409868026206432
- 486409868026206432 squared (4864098680262064322) is 236594559713271558260428729078170624
- 486409868026206432 cubed (4864098680262064323) is 115081928565850835742305238323406698680751133142253568
-
The
square root of 486409868026206432 is 697430905.5571070919 -
The
cube root of 486409868026206432 is 786443.3763450043
Scales and comparisons
How big is 486409868026206432?- 486,409,868,026,206,432 seconds is equal to 15,466,329,238 years, 37 weeks, 4 days, 21 hours, 47 minutes, 12 seconds.
-
To count from 1 to 486,409,868,026,206,432 would take you about forty-six billion, three hundred ninety-eight million, nine hundred eighty-seven thousand, seven hundred sixteen 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 486409868026206432 cubic inches would be around 65536.9 feet tall.
Recreational maths with 486409868026206432
- 486409868026206432 backwards is 234602620868904684
- The number of decimal digits it has is: 18
- The sum of 486409868026206432's digits is 78
- 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 486409868026206432 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 486409868026206432 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/486409868026206432/
Chicago style:
Numbermatics. 2024. "Number 486409868026206432 - Facts about the integer". https://numbermatics.com/n/486409868026206432/
The information we have on file for 486409868026206432 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 486409868026206432, math, Factors of 486409868026206432, curriculum, school, college, exams, university, Prime factorization of 486409868026206432, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty-six quadrillion, four hundred nine trillion, eight hundred sixty-eight billion, twenty-six million, two hundred six thousand, four hundred thirty-two.