2082816296709120
2,082,816,296,709,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 2082816296709120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
2082816296709120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 2082816296709120:
210 × 33 × 5 × 72 × 71 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 71 × 163 × 163 × 163)See below for interesting mathematical facts about the number 2082816296709120 from the Numbermatics database.
Names of 2082816296709120
- Cardinal: 2082816296709120 can be written as Two quadrillion, eighty-two trillion, eight hundred sixteen billion, two hundred ninety-six million, seven hundred nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.08281629670912 × 1015
Factors of 2082816296709120
Divisors of 2082816296709120
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 71 72 80 84 90 96 98 105 108 112 120 126 128 135 140 142 144 147 160 163 168 180 189 192 196 210 213 216 224 240 245 252 256 270 280 284 288 294 315 320 326 336 355 360 378 384 392 420 426 432 441 448 480 489 490 497 504 512 540 560 568 576 588 630 639 640 652 672 710 720 735 756 768 784 815 840 852 864 882 896 945 960 978 980 994 1008 1024 1065 1080 1120 1136 1141 1152 1176 1260 1278 1280 1304 1323 1344 1420 1440 1467 1470 1491 1512 1536 1568 1630 1680 1704 1728 1764 1792 1890 1917 1920 1956 1960 1988 2016 2130 2160 2205 2240 2272 2282 2304 2352 2445 2485 2520 2556 2560 2608 2646 2688 2840 2880 2934 2940 2982 3024 3072 3136 3195 3260 3360 3408 3423 3456 3479 3528 3584 3780 3834 3840 3912 3920 3976 4032 4260 4320 4401 4410 4473 4480 4544 4564 4608 4704 4890 4970 5040 5112 5120 5216 5292 5376 5680 5705 5760 5868 5880 5964 6048 6272 6390 6520 6615 6720 6816 6846 6912 6958 7056 7168 7335 7455 7560 7668 7680 7824 7840 7952 7987 8064 8520 8640 8802 8820 8946 8960 9088 9128 9216 9408 9585 9780 9940 10080 10224 10269 10432 10437 10584 10752 11360 11410 11520 11573 11736 11760 11928 12096 12544 12780 13040 13230 13419 13440 13632 13692 13824 13916 14112 14670 14910 15120 15336 15360 15648 15680 15904 15974 16128 17040 17115 17280 17395 17604 17640 17892 17920 18176 18256 18816 19170 19560 19880 20160 20448 20538 20864 20874 21168 21504 22005 22365 22720 22820 23040 23146 23472 23520 23856 23961 24192 25088 25560 26080 26460 26569 26838 26880 27264 27384 27648 27832 28224 29340 29820 30240 30672 30807 31296 31311 31360 31808 31948 32256 34080 34230 34560 34719 34790 35208 35280 35784 35840 36352 36512 37632 38340 39120 39760 39935 40320 40896 41076 41728 41748 42336 44010 44730 45440 45640 46080 46292 46944 47040 47712 47922 48384 50176 51120 51345 52160 52185 52920 53138 53676 53760 54528 54768 55664 56448 57865 58680 59640 60480 61344 61614 62592 62622 62720 63616 63896 64512 67095 68160 68460 69120 69438 69580 70416 70560 71568 71883 72704 73024 75264 76680 78240 79520 79707 79870 80640 81011 81792 82152 83456 83496 84672 88020 89460 90880 91280 92584 93888 93933 94080 95424 95844 96768 102240 102690 104157 104320 104370 105840 106276 107352 107520 109056 109536 111328 112896 115730 117360 119280 119805 120960 122688 123228 125184 125244 125440 127232 127792 132845 134190 136320 136920 138240 138876 139160 140832 141120 143136 143766 146048 150528 153360 154035 156480 156555 159040 159414 159740 161280 162022 163584 164304 166912 166992 169344 173595 176040 178920 181760 182560 185168 185983 187776 187866 188160 190848 191688 193536 204480 205380 208314 208640 208740 211680 212552 214704 215649 218112 219072 222656 225792 231460 234720 238560 239121 239610 241920 243033 245376 246456 250368 250488 250880 254464 255584 265690 268380 272640 273840 277752 278320 281664 282240 286272 287532 292096 306720 308070 312471 312960 313110 318080 318828 319480 322560 324044 327168 328608 333984 338688 347190 352080 357840 359415 363520 365120 370336 371966 375552 375732 376320 381696 383376 398535 405055 408960 410760 416628 417280 417480 423360 425104 429408 431298 438144 445312 451584 462920 469440 469665 477120 478242 479220 483840 486066 490752 492912 500736 500976 508928 511168 520785 531380 536760 545280 547680 555504 556640 557949 563328 564480 567077 572544 575064 584192 613440 616140 624942 625920 626220 636160 637656 638960 648088 654336 657216 667968 677376 694380 704160 715680 717363 718830 729099 730240 740672 743932 751104 751464 752640 763392 766752 797070 810110 817920 821520 833256 834560 834960 846720 850208 858816 862596 876288 890624 925840 929915 938880 939330 954240 956484 958440 967680 972132 981504 985824 1001952 1022336 1041570 1062760 1073520 1078245 1090560 1095360 1111008 1113280 1115898 1126656 1128960 1134154 1145088 1150128 1168384 1195605 1215165 1226880 1232280 1249884 1251840 1252440 1272320 1275312 1277920 1296176 1301881 1314432 1335936 1354752 1388760 1408320 1431360 1434726 1437660 1458198 1460480 1481344 1487864 1502208 1502928 1526784 1533504 1562355 1594140 1620220 1635840 1643040 1666512 1669920 1673847 1693440 1700416 1701231 1717632 1725192 1752576 1781248 1851680 1859830 1877760 1878660 1886399 1908480 1912968 1916880 1944264 1963008 1971648 2003904 2044672 2083140 2125520 2147040 2156490 2187297 2190720 2222016 2226560 2231796 2253312 2257920 2268308 2290176 2300256 2391210 2430330 2453760 2464560 2499768 2503680 2504880 2544640 2550624 2555840 2592352 2603762 2628864 2671872 2777520 2789745 2816640 2835385 2862720 2869452 2875320 2916396 2920960 2962688 2975728 3005856 3067008 3124710 3188280 3240440 3271680 3286080 3333024 3339840 3347694 3386880 3400832 3402462 3435264 3450384 3505152 3562496 3586815 3645495 3703360 3719660 3755520 3757320 3772798 3816960 3825936 3833760 3888528 3905643 3943296 4007808 4089344 4166280 4251040 4294080 4312980 4330747 4374594 4381440 4444032 4453120 4463592 4506624 4536616 4580352 4600512 4782420 4860660 4907520 4929120 4999536 5009760 5021541 5101248 5103693 5111680 5184704 5207524 5257728 5343744 5555040 5579490 5633280 5659197 5670770 5725440 5738904 5750640 5832792 5841920 5925376 5951456 6011712 6134016 6249420 6376560 6480880 6509405 6572160 6666048 6679680 6695388 6773760 6801664 6804924 6870528 6900768 7173630 7290990 7406720 7439320 7511040 7514640 7545596 7633920 7651872 7667520 7777056 7811286 7886592 8015616 8178688 8332560 8369235 8502080 8506155 8588160 8625960 8661494 8749188 8762880 8888064 8906240 8927184 9073232 9201024 9431995 9564840 9721320 9815040 9858240 9999072 10019520 10043082 10202496 10207386 10223360 10369408 10415048 10515456 10687488 10936485 11110080 11158980 11266560 11318394 11341540 11450880 11477808 11501280 11665584 11716929 11850752 11902912 12023424 12268032 12498840 12753120 12961760 12992241 13018810 13144320 13204793 13332096 13359360 13390776 13603328 13609848 13741056 13801536 14347260 14581980 14813440 14878640 15029280 15091192 15303744 15311079 15335040 15554112 15622572 15773184 16031232 16665120 16738470 16977591 17004160 17012310 17176320 17251920 17322988 17498376 17525760 17776128 17812480 17854368 18146464 18402048 18863990 19129680 19442640 19528215 19716480 19998144 20039040 20086164 20404992 20414772 20446720 20738816 20830096 21653735 21872970 22220160 22317960 22533120 22636788 22683080 22901760 22955616 23002560 23331168 23433858 23805824 24046848 24536064 24997680 25107705 25506240 25518465 25923520 25984482 26037620 26288640 26409586 26664192 26718720 26781552 27206656 27219696 27603072 28295985 28694520 29163960 29626880 29757280 30058560 30182384 30315229 30607488 30622158 30670080 31108224 31245144 31546368 32062464 33330240 33476940 33955182 34008320 34024620 34352640 34503840 34645976 34996752 35150787 35552256 35708736 36292928 36804096 37727980 38259360 38885280 38976723 39056430 39432960 39614379 39996288 40078080 40172328 40809984 40829544 40893440 41477632 41660192 43307470 43745940 44440320 44635920 45273576 45366160 45911232 46005120 46662336 46867716 47611648 48093696 49995360 50215410 50932773 51012480 51036930 51847040 51968964 52075240 52577280 52819172 53328384 53437440 53563104 54439392 55206144 56591970 57389040 58327920 58584645 59253760 59514560 60117120 60364768 60630458 61214976 61244316 61340160 62216448 62490288 64961205 66023965 66660480 66953880 67910364 68016640 68049240 68705280 69007680 69291952 69993504 70301574 71417472 72585856 73608192 75455960 76518720 76555395 77770560 77953446 78112860 78865920 79228758 79992576 80156160 80344656 81619968 81659088 82955264 83320384 84887955 86614940 87491880 88880640 89271840 90547152 90732320 90945687 91822464 92010240 92433551 93324672 93735432 95223296 96187392 99990720 100430820 101865546 102024960 102073860 103694080 103937928 104150480 105638344 106656768 107126208 108878784 110412288 113183940 114778080 116655840 116930169 117169290 118843137 119029120 120234240 120729536 121260916 122429952 122488632 122680320 124432896 124980576 129922410 132047930 133320960 133907760 135820728 136033280 136098480 138015360 138583904 139987008 140603148 142834944 145171712 150911920 151576145 153037440 153110790 155541120 155906892 156225720 157731840 158457516 159985152 160312320 160689312 163318176 166640768 169775910 173229880 174983760 175753935 177761280 178543680 181094304 181464640 181891374 183644928 184020480 184867102 186649344 187470864 190446592 194883615 198071895 199981440 200861640 203731092 204049920 204147720 207388160 207875856 208300960 211276688 212206603 214252416 217757568 220824576 226367880 229556160 233311680 233860338 234338580 237686274 238058240 240468480 241459072 242521832 244859904 244977264 248865792 249961152 254663865 259844820 264095860 266641920 267815520 271641456 272196960 272837061 276030720 277167808 277300653 279974016 281206296 285669888 290343424 301823840 303152290 306074880 306221580 307483037 311082240 311813784 312451440 316915032 319970304 321378624 326636352 333281536 339551820 346459760 349967520 351507870 356529411 357087360 362188608 362929280 363782748 367289856 368040960 369734204 373298688 374941728 389767230 396143790 399962880 401723280 407462184 408099840 408295440 414776320 415751712 416601920 422553376 424413206 428504832 435515136 452735760 454728435 459112320 462167755 466623360 467720676 468677160 475372548 476116480 480936960 482918144 485043664 489954528 499922304 509327730 519689640 528191720 533283840 535631040 543282912 544393920 545674122 552061440 554335616 554601306 559948032 562412592 571339776 580686848 584650845 594215685 603647680 606304580 612149760 612443160 614966074 622164480 623627568 624902880 633830064 636619809 642757248 653272704 666563072 679103640 692919520 699935040 703015740 713058822 714174720 724377216 725858560 727565496 734579712 739468408 746597376 749883456 779534460 792287580 799925760 803446560 814924368 816590880 818511183 831503424 831901959 833203840 845106752 848826412 857009664 871030272 905471520 909456870 918224640 922449111 924335510 933246720 935441352 937354320 950745096 952232960 965836288 970087328 979909056 999844608 1018655460 1039379280 1056383440 1061033015 1071262080 1086565824 1088787840 1091348244 1104122880 1108671232 1109202612 1119896064 1124825184 1169301690 1188431370 1207295360 1212609160 1224299520 1224886320 1229932148 1244328960 1247255136 1249805760 1267660128 1273239618 1285514496 1306545408 1333126144 1358207280 1364185305 1385839040 1386503265 1399870080 1406031480 1426117644 1428349440 1448754432 1451717120 1455130992 1478936816 1499766912 1537415185 1559068920 1584575160 1599851520 1606893120 1629848736 1633181760 1637022366 1663006848 1663803918 1666407680 1690213504 1697652824 1714019328 1742060544 1782647055 1810943040 1818913740 1836449280 1844898222 1848671020 1866493440 1870882704 1874708640 1901490192 1909859427 1931672576 1940174656 1959818112 1999689216 2037310920 2078758560 2112766880 2122066030 2142524160 2152381259 2173131648 2177575680 2182696488 2217342464 2218405224 2239792128 2249650368 2338603380 2376862740 2414590720 2425218320 2449772640 2459864296 2494510272 2495705877 2499611520 2535320256 2546479236 2571028992 2613090816 2716414560 2728370610 2767347333 2771678080 2773006530 2799740160 2812062960 2852235288 2856698880 2897508864 2903434240 2910261984 2957873632 2999533824 3074830370 3118137840 3169150320 3183099045 3213786240 3259697472 3266363520 3274044732 3326013696 3327607836 3332815360 3380427008 3395305648 3565294110 3621886080 3637827480 3672898560 3689796444 3697342040 3732986880 3741765408 3749417280 3802980384 3819718854 3880349312 3919636224 3999378432 4074621840 4092555915 4157517120 4159509795 4225533760 4244132060 4285048320 4304762518 4346263296 4355151360 4365392976 4434684928 4436810448 4499300736 4612245555 4677206760 4753725480 4829181440 4850436640 4899545280 4919728592 4989020544 4991411754 4999223040 5070640512 5092958472 5142057984 5226181632 5432829120 5456741220 5534694666 5543356160 5546013060 5599480320 5624125920 5704470576 5729578281 5795017728 5820523968 5915747264 5999067648 6149660740 6236275680 6338300640 6366198090 6427572480 6457143777 6519394944 6532727040 6548089464 6652027392 6655215672 6665630720 6760854016 6790611296 7130588220 7243772160 7275654960 7379592888 7394684080 7483530816 7498834560 7605960768 7639437708 7760698624 7839272448 8149243680 8185111830 8302041999 8315034240 8319019590 8451067520 8488264120 8570096640 8609525036 8692526592 8710302720 8730785952 8873620896 8998601472 9224491110 9354413520 9507450960 9549297135 9658362880 9700873280 9799090560 9839457184 9978041088 9982823508 9998446080 10141281024 10185916944 10761906295 10865658240 10913482440 11069389332 11086712320 11092026120 11198960640 11248251840 11408941152 11459156562 11641047936 11831494528 11998135296 12299321480 12472551360 12478529385 12676601280 12732396180 12855144960 12914287554 13038789888 13065454080 13096178928 13304054784 13310431344 13521708032 13581222592 13836736665 14261176440 14487544320 14551309920 14759185776 14789368160 14967061632 14997669120 15066668813 15211921536 15278875416 15521397248 15678544896 16298487360 16370223660 16604083998 16630068480 16638039180 16902135040 16976528240 17219050072 17385053184 17461571904 17747241792 17997202944 18448982220 18708827040 19014901920 19098594270 19371431331 19401746560 19598181120 19678914368 19956082176 19965647016 19996892160 20282562048 20371833888 21523812590 21731316480 21826964880 22138778664 22173424640 22184052240 22496503680 22817882304 22918313124 23282095872 23662989056 24598642960 24945102720 24957058770 25353202560 25464792360 25710289920 25828575108 26077579776 26130908160 26192357856 26620862688 27162445184 27673473330 28522352880 28647891405 28975088640 29102619840 29518371552 29578736320 29934123264 29995338240 30133337626 30423843072 30557750832 31042794496 32285718885 32596974720 32740447320 33208167996 33260136960 33276078360 33804270080 33953056480 34438100144 34923143808 35494483584 35994405888 36897964440 37417654080 38029803840 38197188540 38742862662 38803493120 39196362240 39357828736 39912164352 39931294032 40565124096 40743667776 41510209995 43047625180 43462632960 43653929760 44277557328 44368104480 44993007360 45200006439 45635764608 45836626248 46564191744 47325978112 49197285920 49890205440 49914117540 50706405120 50929584720 51657150216 52155159552 52384715712 53241725376 54324890368 55346946660 57044705760 57295782810 58114293993 58205239680 59036743104 59157472640 59868246528 59990676480 60266675252 60847686144 61115501664 64571437770 65193949440 65480894640 66416335992 66520273920 66552156720 67608540160 67906112960 68876200288 69846287616 70988967168 73795928880 74835308160 75333344065 76059607680 76394377080 77485725324 77606986240 78392724480 78715657472 79862588064 81487335552 83020419990 86095250360 86925265920 87307859520 88555114656 88736208960 89986014720 90400012878 91271529216 91673252496 93128383488 94651956224 96857156655 98394571840 99780410880 99828235080 101412810240 101859169440 103314300432 104769431424 106483450752 108649780736 110693893320 114089411520 114591565620 116228587986 116410479360 118073486208 118314945280 119736493056 120533350504 121695372288 122231003328 129142875540 130387898880 130961789280 132832671984 133104313440 135600019317 135812225920 137752400576 139692575232 141977934336 147591857760 149670616320 150666688130 152119215360 152788754160 154971450648 155213972480 157431314944 159725176128 162974671104 166040839980 172190500720 174615719040 177110229312 177472417920 179972029440 180800025756 182543058432 183346504992 193714313310 196789143680 199560821760 199656470160 202825620480 203718338880 206628600864 209538862848 212966901504 217299561472 221387786640 226000032195 228178823040 229183131240 232457175972 232820958720 236146972416 236629890560 241066701008 244462006656 258285751080 260775797760 261923578560 265665343968 266208626880 271200038634 271624451840 275504801152 279385150464 283955868672 290571469965 295183715520 299341232640 301333376260 304238430720 305577508320 309942901296 314862629888 319450352256 325949342208 332081679960 344381001440 349231438080 354220458624 354944835840 361600051512 365086116864 366693009984 387428626620 393578287360 399312940320 406800057951 407436677760 413257201728 419077725696 425933803008 442775573280 452000064390 456357646080 458366262480 464914351944 465641917440 472293944832 473259781120 482133402016 488924013312 516571502160 523847157120 531330687936 532417253760 542400077268 543248903680 551009602304 581142939930 590367431040 598682465280 602666752520 608476861440 611155016640 619885802592 638900704512 651898684416 664163359920 678000096585 688762002880 698462876160 708440917248 709889671680 723200103024 733386019968 774857253240 787156574720 798625880640 813600115902 814873355520 826514403456 838155451392 851867606016 885551146560 904000128780 912715292160 916732524960 929828703888 944587889664 964266804032 977848026624 1033143004320 1047694314240 1062661375872 1064834507520 1084800154536 1086497807360 1102019204608 1162285879860 1180734862080 1205333505040 1222310033280 1239771605184 1277801409024 1328326719840 1356000193170 1377524005760 1396925752320 1416881834496 1419779343360 1446400206048 1466772039936 1549714506480 1574313149440 1597251761280 1627200231804 1629746711040 1653028806912 1771102293120 1808000257560 1825430584320 1833465049920 1859657407776 1928533608064 1955696053248 2034000289755 2066286008640 2095388628480 2125322751744 2129669015040 2169600309072 2204038409216 2324571759720 2361469724160 2410667010080 2444620066560 2479543210368 2555602818048 2656653439680 2712000386340 2755048011520 2833763668992 2892800412096 2933544079872 3099429012960 3194503522560 3254400463608 3259493422080 3306057613824 3542204586240 3616000515120 3666930099840 3719314815552 3857067216128 4068000579510 4132572017280 4190777256960 4250645503488 4259338030080 4339200618144 4649143519440 4722939448320 4821334020160 4889240133120 4959086420736 5313306879360 5424000772680 5510096023040 5785600824192 5867088159744 6198858025920 6389007045120 6508800927216 6612115227648 7084409172480 7232001030240 7333860199680 7438629631104 7714134432256 8136001159020 8265144034560 8501291006976 8678401236288 9298287038880 9642668040320 9778480266240 9918172841472 10626613758720 10848001545360 11020192046080 11571201648384 12397716051840 12778014090240 13017601854432 14168818344960 14464002060480 14667720399360 14877259262208 15428268864512 16272002318040 16530288069120 17356802472576 18596574077760 19285336080640 19836345682944 21253227517440 21696003090720 23142403296768 24795432103680 26035203708864 28928004120960 29335440798720 29754518524416 32544004636080 33060576138240 34713604945152 37193148155520 38570672161280 42506455034880 43392006181440 46284806593536 49590864207360 52070407417728 57856008241920 59509037048832 65088009272160 69427209890304 74386296311040 77141344322560 86784012362880 99181728414720 104140814835456 115712016483840 130176018544320 138854419780608 148772592622080 173568024725760 208281629670912 231424032967680 260352037088640 297545185244160 347136049451520 416563259341824 520704074177280 694272098903040 1041408148354560 2082816296709120
- Sum of all divisors σ(n): 8785608346137600
- Sum of proper divisors (its aliquot sum) s(n): 6702792049428480
- 2082816296709120 is an abundant number, because the sum of its proper divisors (6702792049428480) is greater than itself. Its abundance is 4619975752719360
Bases of 2082816296709120
- Binary: 1110110011001001111011101010111111101101100000000002
- Hexadecimal: 0x7664F757F6C00
- Base-36: KIAOLIC5C0
Squares and roots of 2082816296709120
- 2082816296709120 squared (20828162967091202) is 4338123725837093000141891174400
- 2082816296709120 cubed (20828162967091203) is 9035514793313983838428660638559515891990528000
-
The
square root of 2082816296709120 is 45637882.2548671731 -
The
cube root of 2082816296709120 is 127707.6722569689
Scales and comparisons
How big is 2082816296709120?- 2,082,816,296,709,120 seconds is equal to 66,227,115 years, 34 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 2,082,816,296,709,120 would take you about one hundred ninety-eight million, six hundred eighty-one thousand, three hundred forty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 2082816296709120 cubic inches would be around 10642.3 feet tall.
Recreational maths with 2082816296709120
- 2082816296709120 backwards is 0219076926182802
- 2082816296709120 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2082816296709120'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 2082816296709120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 2082816296709120 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/2082816296709120/
Chicago style:
Numbermatics. 2024. "Number 2082816296709120 - Facts about the integer". https://numbermatics.com/n/2082816296709120/
The information we have on file for 2082816296709120 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 2082816296709120, math, Factors of 2082816296709120, curriculum, school, college, exams, university, Prime factorization of 2082816296709120, STEM, science, technology, engineering, physics, economics, calculator, two quadrillion, eighty-two trillion, eight hundred sixteen billion, two hundred ninety-six million, seven hundred nine thousand, one hundred twenty.