105968350068655104
105,968,350,068,655,104 is an even composite number composed of six prime numbers multiplied together.
105968350068655104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 105968350068655104:
210 × 32 × 17 × 294 × 612 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 29 × 29 × 29 × 29 × 61 × 61 × 257)See below for interesting mathematical facts about the number 105968350068655104 from the Numbermatics database.
Names of 105968350068655104
- Cardinal: 105968350068655104 can be written as One hundred five quadrillion, nine hundred sixty-eight trillion, three hundred fifty billion, sixty-eight million, six hundred fifty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.05968350068655104 × 1017
Factors of 105968350068655104
Divisors of 105968350068655104
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 61 64 68 72 87 96 102 116 122 128 136 144 153 174 183 192 204 232 244 256 257 261 272 288 306 348 366 384 408 464 488 493 512 514 522 544 549 576 612 696 732 768 771 816 841 928 976 986 1024 1028 1037 1044 1088 1098 1152 1224 1392 1464 1479 1536 1542 1632 1682 1769 1856 1952 1972 2056 2074 2088 2176 2196 2304 2313 2448 2523 2784 2928 2958 3072 3084 3111 3264 3364 3538 3712 3721 3904 3944 4112 4148 4176 4352 4369 4392 4437 4608 4626 4896 5046 5307 5568 5856 5916 6168 6222 6528 6728 7076 7424 7442 7453 7569 7808 7888 8224 8296 8352 8704 8738 8784 8874 9216 9252 9333 9792 10092 10614 11136 11163 11712 11832 12336 12444 13056 13107 13456 14152 14297 14848 14884 14906 15138 15616 15677 15776 15921 16448 16592 16704 17408 17476 17568 17748 18504 18666 19584 20184 21228 22272 22326 22359 23424 23664 24389 24672 24888 26112 26214 26912 28304 28594 29696 29768 29812 30073 30276 31232 31354 31552 31842 32896 33184 33408 33489 34952 35136 35496 37008 37332 39168 39321 40368 42456 42891 44544 44652 44718 46848 47031 47328 48778 49344 49776 51301 52224 52428 53824 56608 57188 59536 59624 60146 60552 62464 62708 63104 63257 63684 65792 66368 66816 66978 67077 69904 70272 70992 73167 74016 74664 78336 78642 80736 84912 85782 89088 89304 89436 90219 93696 94062 94656 97556 98688 99552 102602 104856 107648 107909 113216 114376 119072 119248 120292 121104 125416 126208 126514 126701 127368 128673 131584 132736 133632 133956 134154 139808 140544 141093 141984 146334 148032 149328 153903 156672 157284 161472 169824 171564 178608 178872 180438 187392 188124 189312 189771 195112 197376 199104 205204 209712 215296 215818 216137 219501 226432 228752 238144 238496 240584 242208 250832 252416 253028 253402 254736 257346 263168 265472 266509 267264 267912 268308 270657 279616 281088 282186 283968 292668 296064 298656 307806 314568 322944 323727 339648 343128 357216 357744 360876 376248 378624 379542 380103 390224 394752 398208 410408 414613 419424 430592 431636 432274 439002 452864 454633 457504 461709 476288 476992 481168 484416 501664 504832 506056 506804 509472 514692 530944 533018 535824 536616 541314 559232 562176 564372 567936 569313 585336 592128 597312 615612 629136 645888 647454 648411 679296 686256 707281 714432 715488 721752 752496 757248 759084 760206 780448 789504 796416 799527 820816 829226 838848 861184 863272 864548 872117 878004 905728 909266 915008 923418 952576 953984 956297 962336 968832 971181 1003328 1012112 1013608 1018944 1029384 1061888 1066036 1071648 1073232 1082628 1118464 1128744 1135872 1138626 1140309 1170672 1184256 1194624 1231224 1243839 1258272 1291776 1294908 1296822 1358592 1363899 1372512 1414562 1428864 1430976 1443504 1487729 1504992 1514496 1518168 1520412 1560896 1592832 1599054 1641632 1658452 1677696 1726544 1729096 1744234 1756008 1811456 1818532 1830016 1834453 1846836 1905152 1907968 1912594 1924672 1937664 1942362 1945233 2006656 2024224 2027216 2037888 2058768 2121843 2132072 2143296 2146464 2165256 2236928 2257488 2271744 2277252 2280618 2341344 2368512 2389248 2398581 2462448 2487678 2516544 2583552 2589816 2593644 2616351 2717184 2727798 2745024 2829124 2857728 2861952 2868891 2887008 2975458 3009984 3036336 3040824 3121792 3129361 3185664 3198108 3283264 3316904 3355392 3453088 3458192 3488468 3512016 3637064 3660032 3668906 3674329 3693672 3731517 3810304 3815936 3825188 3849344 3875328 3884724 3890466 4013312 4048448 4054432 4075776 4091697 4117536 4243686 4264144 4286592 4292928 4330512 4463187 4473856 4514976 4543488 4554504 4561236 4682688 4778496 4797162 4924896 4975356 5033088 5179632 5187288 5232702 5434368 5455596 5490048 5503359 5658248 5715456 5723904 5737782 5774016 5950916 6019968 6072672 6081648 6243584 6258722 6267973 6365529 6396216 6566528 6633808 6710784 6906176 6916384 6976936 7024032 7274128 7320064 7337812 7348658 7387344 7463034 7631872 7650376 7698688 7728761 7750656 7769448 7780932 7849053 8026624 8096896 8108864 8151552 8183394 8235072 8487372 8528288 8573184 8585856 8606673 8661024 8926374 9029952 9109008 9122472 9365376 9388083 9556992 9594324 9849792 9950712 10066176 10359264 10374576 10465404 10911192 10980096 11006718 11022987 11316496 11430912 11447808 11475564 11548032 11901832 12023777 12039936 12145344 12163296 12487168 12517444 12535946 12731058 12792432 13133056 13184357 13267616 13389561 13421568 13812352 13832768 13953872 14048064 14548256 14640128 14675624 14697316 14774688 14926068 15300752 15397376 15457522 15538896 15561864 15698106 16053248 16193792 16217728 16257049 16303104 16366788 16470144 16510077 16974744 17056576 17146368 17171712 17213346 17322048 17852748 18059904 18218016 18244944 18730752 18776166 18803919 19188648 19699584 19901424 20132352 20718528 20749152 20930808 21822384 21960192 22013436 22045974 22632992 22895616 22951128 23096064 23186283 23803664 24047554 24079872 24290688 24326592 24974336 25034888 25071892 25291393 25462116 25584864 26266112 26368714 26535232 26779122 27624704 27665536 27732613 27907744 28096128 28164249 29096512 29351248 29394632 29549376 29852136 30601504 30794752 30915044 31077792 31123728 31396212 32387584 32435456 32514098 32733576 32940288 33020154 33068961 33949488 34113152 34292736 34343424 34426692 34644096 35705496 36071331 36119808 36436032 36489888 37461504 37552332 37607838 38377296 39399168 39553071 39802848 40264704 41437056 41498304 41861616 43144141 43644768 43920384 44026872 44091948 45265984 45902256 46192128 46372566 47607328 48095108 48159744 48581376 48653184 48771147 50069776 50143784 50582786 50924232 51169728 52532224 52737428 53070464 53199137 53558244 55249408 55331072 55465226 55815488 56192256 56328498 56411757 58193024 58702496 58789264 59098752 59704272 61203008 61830088 62155584 62247456 62792424 64775168 64870912 65028196 65467152 65880576 66040308 66137922 67898976 68226304 68686848 68853384 69288192 69558849 71410992 72142662 72239616 72872064 72979776 74923008 75104664 75215676 75874179 76754592 78798336 79106142 79605696 82874112 82996608 83197839 83723232 86288282 87289536 88053744 88183896 90531968 90751469 91804512 92384256 92745132 95214656 96190216 97162752 97306368 97542294 100139552 100287568 101165572 101848464 102339456 105474856 106140928 106398274 106555541 107116488 108213993 110498816 110662144 110930452 111630976 112384512 112656996 112823514 116386048 117404992 117578528 118197504 118659213 119408544 122406016 123660176 124311168 124494912 125584848 129432423 129741824 130056392 130934304 131761152 132080616 132275844 135797952 136452608 137706768 138576384 139117698 142821984 144285324 144479232 145744128 145959552 146313441 150209328 150431352 151748358 153509184 157596672 158212284 159211392 159597411 165748224 165993216 166395678 167446464 172576564 174579072 176107488 176367792 181063936 181502938 181771217 183609024 185490264 190429312 192380432 194325504 194612736 195084588 200279104 200575136 202331144 203696928 204678912 210949712 212281856 212796548 213111082 214232976 216427986 221324288 221860904 223261952 224134069 224769024 225313992 225647028 227622537 232772096 234809984 235157056 236395008 237318426 238817088 244812032 247320352 248622336 248989824 249593517 251169696 258864846 260112784 261868608 264161232 264551688 271595904 272254407 272905216 275413536 277152768 278235396 285643968 288570648 291488256 291919104 292626882 300418656 300862704 303496716 307018368 316424568 318422784 319194822 319666623 331496448 331986432 332791356 334892928 345153128 349158144 352214976 352735584 362127872 363005876 363542434 367218048 370980528 380858624 382346353 384760864 388297269 389225472 390169176 400558208 401150272 404662288 407393856 409357824 421899424 424563712 425593096 426222164 428465952 432855972 443721808 446523904 448268138 450627984 451294056 455245074 465544192 469619968 470314112 471454421 472790016 474636852 477634176 478792233 489624064 494640704 497244672 497979648 499187034 502339392 517729692 520225568 523737216 528322464 529103376 543191808 544508814 545313651 550827072 556470792 571287936 577141296 582976512 583838208 585253764 600837312 601725408 606993432 614036736 632849136 636845568 638389644 639333246 663972864 665582712 669785856 672402207 690306256 698316288 704429952 705471168 724255744 726011752 727084868 733450397 734436096 741961056 761717248 764692706 769521728 776594538 780338352 801116416 802300544 804245777 809324576 814787712 816763221 818715648 843798848 851186192 852444328 856931904 865711944 887443616 893047808 896536276 901255968 902588112 910490148 939239936 940628224 942908842 949273704 955268352 957584466 958999869 979248128 989281408 994489344 995959296 998374068 1004678784 1035459384 1040451136 1047474432 1056644928 1058206752 1086383616 1089017628 1090627302 1101654144 1112941584 1142575872 1147039059 1154282592 1167676416 1170507528 1201674624 1203450816 1213986864 1228073472 1265698272 1273691136 1276779288 1278666492 1331165424 1339571712 1344804414 1380612512 1396632576 1408859904 1410942336 1414363263 1452023504 1454169736 1466900794 1468872192 1483922112 1523434496 1529385412 1539043456 1542774973 1553189076 1560676704 1602232832 1604601088 1608491554 1618649152 1629575424 1633526442 1635940953 1687597696 1702372384 1704888656 1713863808 1731423888 1774887232 1793072552 1802511936 1805176224 1820980296 1878479872 1881256448 1885817684 1898547408 1910536704 1915168932 1917999738 1978562816 1991918592 1996748136 2009357568 2017206621 2070918768 2080902272 2094948864 2113289856 2116413504 2172767232 2178035256 2181254604 2200351191 2203308288 2225883168 2285151744 2294078118 2308565184 2341015056 2403349248 2406901632 2412737331 2427973728 2456146944 2531396544 2553558576 2557332984 2631792601 2662330848 2679143424 2689608828 2761225024 2817719808 2821884672 2828726526 2904047008 2908339472 2933801588 2937744384 2967844224 3058770824 3078086912 3085549946 3090110689 3106378152 3121353408 3204465664 3209202176 3216983108 3237298304 3259150848 3267052884 3271881906 3375195392 3404744768 3409777312 3427727616 3441117177 3462847776 3549774464 3586145104 3605023872 3610352448 3641960592 3762512896 3771635368 3797094816 3821073408 3830337864 3835999476 3957125632 3993496272 4018715136 4034413242 4141837536 4161804544 4189897728 4226579712 4232827008 4243089789 4356070512 4362509208 4400702382 4406616576 4451766336 4570303488 4588156236 4617130368 4628324919 4682030112 4806698496 4813803264 4825474662 4855947456 5062793088 5107117152 5114665968 5263585202 5324661696 5379217656 5522450048 5635439616 5643769344 5657453052 5808094016 5816678944 5867603176 5935688448 6117541648 6156173824 6171099892 6180221378 6212756304 6242706816 6418404352 6433966216 6474596608 6499888001 6518301696 6534105768 6543763812 6601053573 6750390784 6809489536 6819554624 6855455232 6882234354 6925695552 7099548928 7172290208 7210047744 7220704896 7238211993 7283921184 7543270736 7594189632 7660675728 7671998952 7895377803 7914251264 7986992544 8037430272 8068826484 8283675072 8323609088 8453159424 8465654016 8486179578 8712141024 8725018416 8801404764 8813233152 8903532672 9176312472 9234260736 9256649838 9270332067 9364060224 9613396992 9627606528 9650949324 9711894912 10125586176 10214234304 10229331936 10527170404 10649323392 10758435312 11044900096 11088044237 11287538688 11314906104 11616188032 11633357888 11735206352 11871376896 12235083296 12312347648 12342199784 12360442756 12425512608 12485413632 12867932432 12949193216 12999776002 13068211536 13087527624 13202107146 13500781568 13618979072 13639109248 13672178209 13710910464 13764468708 13851391104 13884974757 14199097856 14344580416 14420095488 14441409792 14476423986 14567842368 15086541472 15188379264 15321351456 15343997904 15790755606 15973985088 16137652968 16567350144 16647218176 16906318848 16931308032 16972359156 17424282048 17450036832 17602809528 17807065344 18352624944 18468521472 18513299676 18540664134 18728120448 19255213056 19301898648 19423789824 19499664003 20251172352 20428468608 20458663872 21054340808 21298646784 21516870624 22089800192 22176088474 22629812208 23232376064 23266715776 23323127533 23470412704 23686133409 23742753792 24470166592 24684399568 24720885512 24851025216 24970827264 25735864864 25898386432 25999552004 26136423072 26175055248 26404214292 27237958144 27278218496 27344356418 27528937416 27702782208 27769949514 27810996201 28398195712 28689160832 28840190976 28882819584 28952847972 29135684736 30173082944 30376758528 30642702912 30687995808 31581511212 31947970176 32275305936 33134700288 33264132711 33862616064 33944718312 34848564096 34900073664 35205619056 35614130688 36705249888 36937042944 37026599352 37081328268 37456240896 38603797296 38847579648 38999328006 40502344704 40856937216 40917327744 41016534627 42108681616 42597293568 43033741248 44179600384 44352176948 44740474217 45259624416 46464752128 46533431552 46646255066 46940825408 47372266818 48940333184 49368799136 49441771024 49702050432 49941654528 51471729728 51999104008 52272846144 52350110496 52808428584 54475916288 54556436992 54688712836 55057874832 55405564416 55539899028 55621992402 57378321664 57765639168 57905695944 58271369472 58498992009 60346165888 60753517056 61285405824 61375991616 63163022424 63895940352 64550611872 66269400576 66528265422 67889436624 69697128192 69800147328 69969382599 70411238112 71228261376 73410499776 74053198704 74162656536 74912481792 77207594592 77695159296 77998656012 81713874432 81834655488 82033069254 84217363232 85194587136 86067482496 88704353896 89480948434 90519248832 92929504256 93066863104 93292510132 93881650816 94744533636 97880666368 98737598272 98883542048 99404100864 99792398133 102943459456 103998208016 104545692288 104700220992 105616857168 109112873984 109377425672 110115749664 110811128832 111079798056 111243984804 114756643328 115811391888 116542738944 116997984018 120692331776 121507034112 122570811648 122751983232 123049603881 126326044848 127791880704 129101223744 132538801152 133056530844 134221422651 135778873248 139394256384 139600294656 139938765198 140822476224 146820999552 148106397408 148325313072 149824963584 154415189184 155997312024 163427748864 163669310976 164066138508 168434726464 172134964992 177408707792 178961896868 181038497664 186133726208 186585020264 187763301632 188496752029 189489067272 195761332736 197475196544 197767084096 198808201728 199584796266 205886918912 207996416032 209091384576 209400441984 209908147797 211233714336 218754851344 220231499328 222159596112 222487969608 229513286656 231622783776 233085477888 233995968036 241384663552 245141623296 245503966464 246099207762 252652089696 255583761408 258202447488 266113061688 268442845302 271557746496 278788512768 279200589312 279877530396 281644952448 293641999104 296212794816 296650626144 308830378368 311994624048 327338621952 328132277016 336869452928 344269929984 354817415584 357923793736 362076995328 373170040528 375526603264 376993504058 378978134544 391522665472 394950393088 395534168192 396493168061 397616403456 399169592532 402664267953 411773837824 415992832064 418182769152 418800883968 419816295594 422467428672 437509702688 440462998656 444319192224 444975939216 463245567552 467991936072 482769327104 490283246592 491007932928 492198415524 505304179392 516404894976 532226123376 536885690604 543115492992 558401178624 559755060792 563289904896 565490256087 587283998208 592425589632 593301252288 617660756736 623989248096 656264554032 673738905856 676370698457 688539859968 709634831168 715847587472 724153990656 746340081056 751053206528 753987008116 757956269088 789900786176 791068336384 792986336122 798339185064 805328535906 823547675648 831985664128 836365538304 837601767936 839632591188 844934857344 875019405376 880925997312 888638384448 889951878432 926491135104 935983872144 982015865856 984396831048 1010608358784 1032809789952 1064452246752 1073771381208 1086230985984 1119510121584 1126579809792 1130980512174 1174567996416 1184851179264 1186602504576 1189479504183 1235321513472 1247978496192 1312529108064 1347477811712 1352741396914 1419269662336 1431695174944 1448307981312 1492680162112 1507974016232 1515912538176 1579801572352 1582136672768 1585972672244 1596678370128 1610657071812 1663971328256 1675203535872 1679265182376 1689869714688 1696470768261 1750038810752 1761851994624 1777276768896 1779903756864 1852982270208 1871967744288 1968793662096 2021216717568 2029112095371 2065619579904 2128904493504 2147542762416 2172461971968 2239020243168 2253159619584 2261961024348 2369702358528 2373205009152 2378959008366 2470643026944 2495956992384 2625058216128 2694955623424 2705482793828 2838539324672 2863390349888 2985360324224 3015948032464 3031825076352 3164273345536 3171945344488 3193356740256 3221314143624 3327942656512 3358530364752 3379739429376 3392941536522 3500077621504 3523703989248 3554553537792 3559807513728 3568438512549 3705964540416 3743935488576 3937587324192 4042433435136 4058224190742 4257808987008 4295085524832 4344923943936 4478040486336 4523922048696 4739404717056 4746410018304 4757918016732 4991913984768 5250116432256 5410965587656 5677078649344 5726780699776 5970720648448 6031896064928 6063650152704 6087336286113 6343890688976 6386713480512 6442628287248 6655885313024 6717060729504 6759478858752 6785883073044 7000155243008 7109107075584 7119615027456 7136877025098 7411929080832 7487870977152 7875174648384 8084866870272 8116448381484 8515617974016 8590171049664 8956080972672 9047844097392 9492820036608 9515836033464 9983827969536 10500232864512 10821931175312 11354157298688 11453561399552 11498301873769 11941441296896 12063792129856 12127300305408 12174672572226 12687781377952 12773426961024 12885256574496 13434121459008 13571766146088 14000310486016 14218214151168 14239230054912 14273754050196 14975741954304 15750349296768 16232896762968 17031235948032 17180342099328 17912161945344 18095688194784 19031672066928 19967655939072 21000465729024 21643862350624 22907122799104 22996603747538 23882882593792 24127584259712 24254600610816 24349345144452 25375562755904 25546853922048 25770513148992 26868242918016 27143532292176 28478460109824 28547508100392 29951483908608 31500698593536 32465793525936 34062471896064 34360684198656 34494905621307 35824323890688 36191376389568 38063344133856 42000931458048 43287724701248 45814245598208 45993207495076 48255168519424 48698690288904 50751125511808 51093707844096 51541026297984 53736485836032 54287064584352 57095016200784 59902967817216 63001397187072 64931587051872 68721368397312 68989811242614 71648647781376 72382752779136 76126688267712 86575449402496 91986414990152 96510337038848 97397380577808 101502251023616 102187415688192 103082052595968 103484716863921 107472971672064 108574129168704 114190032401568 126002794374144 129863174103744 137442736794624 137979622485228 144765505558272 152253376535424 173150898804992 183972829980304 193020674077696 194794761155616 203004502047232 206164105191936 206969433727842 214945943344128 217148258337408 228380064803136 259726348207488 275959244970456 289531011116544 304506753070848 346301797609984 367945659960608 389589522311232 406009004094464 412328210383872 413938867455684 434296516674816 456760129606272 519452696414976 551918489940912 579062022233088 609013506141696 692603595219968 735891319921216 779179044622464 827877734911368 868593033349632 913520259212544 1038905392829952 1103836979881824 1218027012283392 1471782639842432 1558358089244928 1655755469822736 1737186066699264 1827040518425088 2077810785659904 2207673959763648 2943565279684864 3116716178489856 3311510939645472 3654081036850176 4415347919527296 5887130559369728 6233432356979712 6623021879290944 8830695839054592 11774261118739456 13246043758581888 17661391678109184 26492087517163776 35322783356218368 52984175034327552 105968350068655104
- Sum of all divisors σ(n): 342469330143402852
- Sum of proper divisors (its aliquot sum) s(n): 236500980074747748
- 105968350068655104 is an abundant number, because the sum of its proper divisors (236500980074747748) is greater than itself. Its abundance is 130532630006092644
Bases of 105968350068655104
- Binary: 1011110000111100110100111001001110100011011000100000000002
- Hexadecimal: 0x17879A72746C400
- Base-36: SZEN7YX5OG0
Squares and roots of 105968350068655104
- 105968350068655104 squared (1059683500686551042) is 11229291216273036184630323305250816
- 105968350068655104 cubed (1059683500686551043) is 1189949462628894950275082512275533355749218518564864
-
The
square root of 105968350068655104 is 325527802.2975228209 -
The
cube root of 105968350068655104 is 473215.2415317191
Scales and comparisons
How big is 105968350068655104?- 105,968,350,068,655,104 seconds is equal to 3,369,465,750 years, 28 weeks, 6 days, 38 minutes, 24 seconds.
-
To count from 1 to 105,968,350,068,655,104 would take you about ten billion, one hundred eight million, three hundred ninety-seven thousand, two 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 105968350068655104 cubic inches would be around 39434.6 feet tall.
Recreational maths with 105968350068655104
- 105968350068655104 backwards is 401556860053869501
- 105968350068655104 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 105968350068655104'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 105968350068655104 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 105968350068655104 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/105968350068655104/
Chicago style:
Numbermatics. 2024. "Number 105968350068655104 - Facts about the integer". https://numbermatics.com/n/105968350068655104/
The information we have on file for 105968350068655104 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 105968350068655104, math, Factors of 105968350068655104, curriculum, school, college, exams, university, Prime factorization of 105968350068655104, STEM, science, technology, engineering, physics, economics, calculator, one hundred five quadrillion, nine hundred sixty-eight trillion, three hundred fifty billion, sixty-eight million, six hundred fifty-five thousand, one hundred four.