120902146035840000
120,902,146,035,840,000 is an even composite number composed of six prime numbers multiplied together.
120902146035840000 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 120902146035840000:
210 × 32 × 54 × 13 × 137 × 34332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 137 × 3433 × 3433)See below for interesting mathematical facts about the number 120902146035840000 from the Numbermatics database.
Names of 120902146035840000
- Cardinal: 120902146035840000 can be written as One hundred twenty quadrillion, nine hundred two trillion, one hundred forty-six billion, thirty-five million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.2090214603584 × 1017
Factors of 120902146035840000
Divisors of 120902146035840000
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 137 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 274 288 300 312 320 325 360 375 384 390 400 411 416 450 468 480 500 512 520 548 576 585 600 624 625 640 650 685 720 750 768 780 800 822 832 900 936 960 975 1000 1024 1040 1096 1125 1152 1170 1200 1233 1248 1250 1280 1300 1370 1440 1500 1536 1560 1600 1625 1644 1664 1781 1800 1872 1875 1920 1950 2000 2055 2080 2192 2250 2304 2340 2400 2466 2496 2500 2560 2600 2740 2880 2925 3000 3072 3120 3200 3250 3288 3328 3425 3433 3562 3600 3744 3750 3840 3900 4000 4110 4160 4384 4500 4608 4680 4800 4875 4932 4992 5000 5120 5200 5343 5480 5625 5760 5850 6000 6165 6240 6400 6500 6576 6656 6850 6866 7124 7200 7488 7500 7680 7800 8000 8125 8220 8320 8768 8905 9000 9216 9360 9600 9750 9864 9984 10000 10275 10299 10400 10686 10960 11250 11520 11700 12000 12330 12480 12800 13000 13152 13312 13700 13732 14248 14400 14625 14976 15000 15360 15600 16000 16029 16250 16440 16640 17125 17165 17536 17810 18000 18720 19200 19500 19728 19968 20000 20550 20598 20800 21372 21920 22500 23040 23400 24000 24375 24660 24960 25600 26000 26304 26715 27400 27464 28496 28800 29250 29952 30000 30825 30897 31200 32000 32058 32500 32880 33280 34250 34330 35072 35620 36000 37440 38400 39000 39456 39936 40000 41100 41196 41600 42744 43840 44525 44629 45000 46080 46800 48000 48750 49320 49920 51375 51495 52000 52608 53430 54800 54928 56992 57600 58500 59904 60000 61650 61794 62400 64000 64116 65000 65760 66560 68500 68660 70144 71240 72000 73125 74880 76800 78000 78912 80000 80145 82200 82392 83200 85488 85625 85825 87680 89050 89258 90000 93600 96000 97500 98640 99840 102750 102990 104000 105216 106860 109600 109856 113984 115200 117000 119808 120000 123300 123588 124800 128000 128232 130000 131520 133575 133887 137000 137320 140288 142480 144000 146250 149760 154125 154485 156000 157824 160000 160290 164400 164784 166400 170976 171250 171650 175360 178100 178516 180000 187200 192000 195000 197280 199680 205500 205980 208000 210432 213720 219200 219712 222625 223145 227968 230400 234000 240000 246600 247176 249600 256464 256875 257475 260000 263040 267150 267774 274000 274640 284960 288000 292500 299520 308250 308970 312000 315648 320000 320580 328800 329568 332800 341952 342500 343300 350720 356200 357032 360000 374400 384000 390000 394560 400725 401661 411000 411960 416000 420864 427440 429125 438400 439424 445250 446290 455936 468000 470321 480000 493200 494352 499200 512928 513750 514950 520000 526080 534300 535548 548000 549280 569920 576000 585000 599040 616500 617940 624000 631296 640000 641160 657600 659136 667875 669435 683904 685000 686600 701440 712400 714064 720000 748800 770625 772425 780000 789120 801450 803322 822000 823920 832000 854880 858250 876800 878848 890500 892580 911872 936000 940642 960000 986400 988704 998400 1025856 1027500 1029900 1040000 1052160 1068600 1071096 1096000 1098560 1113125 1115725 1139840 1152000 1170000 1233000 1235880 1248000 1262592 1282320 1287375 1315200 1318272 1335750 1338870 1367808 1370000 1373200 1410963 1424800 1428128 1440000 1497600 1541250 1544850 1560000 1578240 1602900 1606644 1644000 1647840 1664000 1709760 1716500 1753600 1757696 1781000 1785160 1823744 1872000 1881284 1920000 1972800 1977408 2003625 2008305 2051712 2055000 2059800 2080000 2104320 2137200 2142192 2145625 2192000 2197120 2226250 2231450 2279680 2340000 2351605 2466000 2471760 2496000 2564640 2574750 2630400 2636544 2671500 2677740 2735616 2740000 2746400 2821926 2849600 2856256 2880000 2995200 3082500 3089700 3120000 3156480 3205800 3213288 3288000 3295680 3339375 3347175 3419520 3433000 3507200 3515392 3562000 3570320 3744000 3762568 3862125 3945600 3954816 4007250 4016610 4103424 4110000 4119600 4160000 4232889 4274400 4284384 4291250 4384000 4394240 4452500 4462900 4559360 4680000 4703210 4932000 4943520 4992000 5129280 5149500 5260800 5273088 5343000 5355480 5471232 5480000 5492800 5578625 5643852 5699200 5712512 5760000 6114173 6165000 6179400 6240000 6312960 6411600 6426576 6436875 6576000 6591360 6678750 6694350 6839040 6866000 7054815 7124000 7140640 7488000 7525136 7724250 7891200 7909632 8014500 8033220 8206848 8220000 8239200 8320000 8465778 8548800 8568768 8582500 8768000 8788480 8905000 8925800 9118720 9360000 9406420 9864000 9887040 10018125 10041525 10258560 10299000 10521600 10546176 10686000 10710960 10960000 10985600 11157250 11287704 11398400 11425024 11758025 11785489 12228346 12330000 12358800 12480000 12823200 12853152 12873750 13152000 13182720 13357500 13388700 13678080 13732000 14109630 14248000 14281280 14976000 15050272 15448500 15782400 15819264 16029000 16066440 16413696 16440000 16478400 16735875 16931556 17097600 17137536 17165000 17536000 17576960 17810000 17851600 18342519 18720000 18812840 19310625 19728000 19774080 20036250 20083050 20517120 20598000 21164445 21372000 21421920 21920000 21971200 22314500 22575408 22796800 22850048 23516050 23570978 24456692 24660000 24717600 24960000 25646400 25706304 25747500 26304000 26365440 26715000 26777400 27356160 27464000 27893125 28219260 28496000 28562560 30100544 30570865 30897000 31564800 31638528 32058000 32132880 32880000 32956800 33471750 33863112 34195200 34275072 34330000 35274075 35356467 35620000 35703200 36685038 37440000 37625680 38621250 39456000 39548160 40072500 40166100 41034240 41196000 42328890 42744000 42843840 43840000 43942400 44629000 45150816 45593600 45700096 47032100 47141956 48913384 49320000 49435200 50207625 51292800 51412608 51495000 52608000 52730880 53430000 53554800 54928000 55027557 55786250 56438520 56992000 57125120 58790125 58927445 60201088 61141730 61794000 64116000 64265760 65760000 65913600 66943500 67726224 68390400 68550144 68660000 70548150 70712934 71240000 71406400 73370076 74880000 75251360 77242500 78912000 79096320 80145000 80332200 82068480 82392000 83679375 84657780 85488000 85687680 87680000 87884800 89258000 90301632 91712595 94064200 94283912 97826768 98640000 98870400 100415250 102585600 102825216 102990000 105822225 106069401 106860000 107109600 109856000 110055114 111572500 112877040 113984000 114250240 117580250 117854890 120402176 122283460 123588000 128232000 128531520 131520000 131827200 133887000 135452448 136780800 137100288 137320000 141096300 141425868 142480000 142812800 146740152 150502720 152854325 153211357 154485000 157824000 158192640 160290000 160664400 164784000 167358750 169315560 170976000 171375360 176370375 176782335 178516000 180603264 183425190 188128400 188567824 195653536 197280000 197740800 200830500 205171200 205650432 205980000 211644450 212138802 213720000 214219200 219712000 220110228 223145000 225754080 227968000 228500480 235160500 235709780 240804352 244566920 247176000 251038125 256464000 257063040 263040000 263654400 267774000 270904896 274640000 275137785 282192600 282851736 284960000 285625600 293480304 293950625 294637225 301005440 305708650 306422714 308970000 320580000 321328800 329568000 334717500 338631120 341952000 342750720 352740750 353564670 357032000 361206528 366850380 376256800 377135648 391307072 394560000 395481600 401661000 410342400 411300864 411960000 423288900 424277604 427440000 428438400 439424000 440220456 446290000 451508160 458562975 459634071 470321000 471419560 481608704 489133840 494352000 502076250 512928000 514126080 529111125 530347005 535548000 541809792 549280000 550275570 564385200 565703472 569920000 571251200 586960608 587901250 589274450 602010880 611417300 612845428 617940000 641160000 642657600 659136000 669435000 677262240 683904000 685501440 705481500 707129340 714064000 722413056 733700760 752513600 754271296 764271625 766056785 782614144 789120000 790963200 803322000 823920000 846577800 848555208 854880000 856876800 880440912 881851875 883911675 892580000 903016320 917125950 919268142 940642000 942839120 978267680 988704000 1004152500 1025856000 1028252160 1058222250 1060694010 1071096000 1083619584 1098560000 1100551140 1128770400 1131406944 1139840000 1142502400 1173921216 1175802500 1178548900 1204021760 1222834600 1225690856 1235880000 1282320000 1285315200 1318272000 1338870000 1354524480 1375688925 1378902213 1410963000 1414258680 1428128000 1444826112 1467401520 1473186125 1505027200 1508542592 1528543250 1532113570 1565228288 1606644000 1614611993 1647840000 1693155600 1697110416 1709760000 1713753600 1760881824 1763703750 1767823350 1785160000 1806032640 1834251900 1838536284 1881284000 1885678240 1956535360 1977408000 2008305000 2051712000 2056504320 2116444500 2121388020 2142192000 2167239168 2197120000 2201102280 2257540800 2262813888 2292814875 2298170355 2347842432 2351605000 2357097800 2408043520 2445669200 2451381712 2471760000 2564640000 2570630400 2645555625 2651735025 2677740000 2709048960 2751377850 2757804426 2821926000 2828517360 2856256000 2934803040 2946372250 3010054400 3017085184 3057086500 3064227140 3130456576 3213288000 3229223986 3295680000 3386311200 3394220832 3419520000 3427507200 3521763648 3527407500 3535646700 3570320000 3612065280 3668503800 3677072568 3762568000 3771356480 3821358125 3830283925 3913070720 3954816000 4016610000 4232889000 4242776040 4284384000 4334478336 4402204560 4419558375 4515081600 4525627776 4585629750 4596340710 4695684864 4703210000 4714195600 4843835979 4891338400 4902763424 4943520000 5129280000 5141260800 5291111250 5303470050 5355480000 5418097920 5502755700 5515608852 5643852000 5657034720 5712512000 5869606080 5892744500 6020108800 6034170368 6114173000 6128454280 6260913152 6426576000 6458447972 6591360000 6772622400 6788441664 6878444625 6894511065 7043527296 7054815000 7071293400 7140640000 7224130560 7337007600 7354145136 7365930625 7525136000 7542712960 7642716250 7660567850 7826141440 8033220000 8073059965 8465778000 8485552080 8568768000 8804409120 8839116750 9030163200 9051255552 9171259500 9192681420 9391369728 9406420000 9428391200 9687671958 9782676800 9805526848 9887040000 10258560000 10282521600 10582222500 10606940100 10710960000 10836195840 11005511400 11031217704 11287704000 11314069440 11464074375 11490851775 11739212160 11785489000 12040217600 12068340736 12228346000 12256908560 12853152000 12916895944 13258675125 13545244800 13576883328 13756889250 13789022130 14087054592 14109630000 14142586800 14281280000 14531507937 14674015200 14708290272 14731861250 15050272000 15085425920 15285432500 15321135700 15652282880 16066440000 16146119930 16931556000 16971104160 17137536000 17608818240 17678233500 18060326400 18102511104 18342519000 18385362840 18782739456 18812840000 18856782400 19151419625 19375343916 19565353600 19611053696 19774080000 20989955909 21164445000 21213880200 21421920000 21672391680 22011022800 22062435408 22097791875 22575408000 22628138880 22928148750 22981703550 23478424320 23570978000 24219179895 24456692000 24513817120 25706304000 25833791888 26517350250 27090489600 27153766656 27513778500 27578044260 28174109184 28219260000 28285173600 28562560000 29063015874 29348030400 29416580544 29463722500 30100544000 30170851840 30570865000 30642271400 31304565760 32132880000 32292239860 33863112000 33942208320 34392223125 34472555325 35217636480 35356467000 36120652800 36205022208 36685038000 36770725680 37625680000 37713564800 38302839250 38750687832 39130707200 39222107392 40365299825 41979911818 42328890000 42427760400 42843840000 44022045600 44124870816 44195583750 45150816000 45256277760 45856297500 45963407100 46956848640 47141956000 48438359790 48913384000 49027634240 51412608000 51667583776 53034700500 54180979200 54307533312 55027557000 55156088520 56348218368 56438520000 56570347200 57454258875 58126031748 58696060800 58833161088 58927445000 60201088000 60341703680 61141730000 61284542800 62969867727 64265760000 64584479720 66293375625 67726224000 67884416640 68784446250 68945110650 70435272960 70712934000 72657539685 73370076000 73541451360 75251360000 75427129600 76605678500 77501375664 78261414400 78444214784 80730599650 83959823636 84657780000 84855520800 85687680000 88044091200 88249741632 88391167500 90301632000 90512555520 91712595000 91926814200 93913697280 94283912000 95757098125 96876719580 97826768000 98055268480 103335167552 104949779545 106069401000 108361958400 108615066624 110055114000 110312177040 112877040000 113140694400 114908517750 116252063496 117392121600 117666322176 117854890000 121095899475 122283460000 122569085600 125939735454 128531520000 129168959440 132586751250 135452448000 135768833280 137568892500 137890221300 140870545920 141425868000 145315079370 146740152000 147082902720 150502720000 150854259200 153211357000 155002751328 156522828800 156888429568 161461199300 167919647272 169315560000 169711041600 172362776625 176088182400 176499483264 176782335000 180603264000 181025111040 183425190000 183853628400 188567824000 188909603181 191514196250 193753439160 195653536000 196110536960 201826499125 206670335104 209899559090 212138802000 220110228000 220624354080 225754080000 226281388800 229817035500 232504126992 234784243200 235332644352 235709780000 242191798950 244566920000 245138171200 251879470908 257063040000 258337918880 265173502500 270904896000 271537666560 275137785000 275780442600 281741091840 282851736000 287271294375 290630158740 293480304000 294165805440 301005440000 301708518400 306422714000 310005502656 314849338635 322922398600 335839294544 338631120000 339422083200 344725553250 352176364800 352998966528 353564670000 363287698425 366850380000 367707256800 377135648000 377819206362 383028392500 387506878320 391307072000 392221073920 403652998250 413340670208 419799118180 424277604000 440220456000 441248708160 451508160000 452562777600 459634071000 465008253984 469568486400 470665288704 471419560000 484383597900 489133840000 490276342400 503758941816 516675837760 524748897725 530347005000 541809792000 543075333120 550275570000 551560885200 565703472000 574542588750 581260317480 586960608000 588331610880 605479497375 612845428000 620011005312 629698677270 645844797200 671678589088 677262240000 678844166400 689451106500 704352729600 705997933056 707129340000 726575396850 733700760000 735414513600 754271296000 755638412724 766056785000 775013756640 782614144000 784442147840 807305996500 826681340416 839598236360 848555208000 861813883125 880440912000 882497416320 903016320000 905125555200 919268142000 930016507968 942839120000 944548015905 968767195800 978267680000 980552684800 1007517883632 1009132495625 1033351675520 1049497795450 1060694010000 1100551140000 1103121770400 1131406944000 1149085177500 1162520634960 1173921216000 1176663221760 1210958994750 1225690856000 1240022010624 1259397354540 1291689594400 1343357178176 1354524480000 1357688332800 1378902213000 1408705459200 1411995866112 1414258680000 1453150793700 1467401520000 1470829027200 1508542592000 1511276825448 1532113570000 1550027513280 1574246693175 1614611993000 1653362680832 1679196472720 1697110416000 1723627766250 1760881824000 1764994832640 1816438492125 1838536284000 1860033015936 1885678240000 1889096031810 1937534391600 1956535360000 1961105369600 2015035767264 2018264991250 2066703351040 2098995590900 2121388020000 2201102280000 2206243540800 2262813888000 2298170355000 2325041269920 2347842432000 2353326443520 2421917989500 2451381712000 2480044021248 2518794709080 2583379188800 2623744488625 2686714356352 2709048960000 2715376665600 2757804426000 2828517360000 2906301587400 2934803040000 2941658054400 3022553650896 3027397486875 3064227140000 3100055026560 3148493386350 3229223986000 3358392945440 3394220832000 3447255532500 3521763648000 3529989665280 3632876984250 3677072568000 3720066031872 3771356480000 3778192063620 3875068783200 3913070720000 3922210739200 4030071534528 4036529982500 4133406702080 4197991181800 4242776040000 4402204560000 4412487081600 4525627776000 4596340710000 4650082539840 4722740079525 4843835979000 4902763424000 4960088042496 5037589418160 5166758377600 5247488977250 5373428712704 5515608852000 5657034720000 5812603174800 5869606080000 5883316108800 6045107301792 6054794973750 6128454280000 6200110053120 6296986772700 6458447972000 6716785890880 6788441664000 6894511065000 7043527296000 7059979330560 7265753968500 7354145136000 7440132063744 7542712960000 7556384127240 7750137566400 7871233465875 8060143069056 8073059965000 8266813404160 8395982363600 8485552080000 8804409120000 8824974163200 9082192460625 9192681420000 9300165079680 9445480159050 9687671958000 9805526848000 10075178836320 10333516755200 10494977954500 10746857425408 11031217704000 11314069440000 11625206349600 11739212160000 11766632217600 12090214603584 12109589947500 12256908560000 12400220106240 12593973545400 12916895944000 13118722443125 13433571781760 13576883328000 13789022130000 14531507937000 14708290272000 14880264127488 15112768254480 15500275132800 15742466931750 16120286138112 16146119930000 16791964727200 16971104160000 17608818240000 17649948326400 18164384921250 18385362840000 18600330159360 18890960318100 19375343916000 19611053696000 20150357672640 20667033510400 20989955909000 21493714850816 22062435408000 22628138880000 23250412699200 23613700397625 24180429207168 24219179895000 24513817120000 24800440212480 25187947090800 25833791888000 26237444886250 26867143563520 27578044260000 29063015874000 29416580544000 30225536508960 31000550265600 31484933863500 32240572276224 32292239860000 33583929454400 33942208320000 35217636480000 35299896652800 36328769842500 36770725680000 37200660318720 37781920636200 38750687832000 39356167329375 40300715345280 41334067020800 41979911818000 44124870816000 46500825398400 47227400795250 48360858414336 48438359790000 49027634240000 50375894181600 51667583776000 52474889772500 53734287127040 55156088520000 58126031748000 58833161088000 60451073017920 62001100531200 62969867727000 64481144552448 64584479720000 67167858908800 67884416640000 72657539685000 73541451360000 74401320637440 75563841272400 77501375664000 78712334658750 80601430690560 83959823636000 88249741632000 93001650796800 94454801590500 96721716828672 96876719580000 98055268480000 100751788363200 103335167552000 104949779545000 107468574254080 110312177040000 116252063496000 118068501988125 120902146035840 124002201062400 125939735454000 129168959440000 134335717817600 145315079370000 147082902720000 151127682544800 155002751328000 157424669317500 161202861381120 167919647272000 176499483264000 186003301593600 188909603181000 193443433657344 193753439160000 201503576726400 206670335104000 209899559090000 220624354080000 232504126992000 236137003976250 241804292071680 251879470908000 258337918880000 268671435635200 290630158740000 294165805440000 302255365089600 310005502656000 314849338635000 322405722762240 335839294544000 372006603187200 377819206362000 387506878320000 403007153452800 419799118180000 441248708160000 465008253984000 472274007952500 483608584143360 503758941816000 516675837760000 537342871270400 581260317480000 604510730179200 620011005312000 629698677270000 671678589088000 755638412724000 775013756640000 806014306905600 839598236360000 882497416320000 930016507968000 944548015905000 967217168286720 1007517883632000 1033351675520000 1162520634960000 1209021460358400 1259397354540000 1343357178176000 1511276825448000 1550027513280000 1612028613811200 1679196472720000 1860033015936000 1889096031810000 2015035767264000 2325041269920000 2418042920716800 2518794709080000 2686714356352000 3022553650896000 3100055026560000 3358392945440000 3778192063620000 4030071534528000 4650082539840000 4836085841433600 5037589418160000 6045107301792000 6716785890880000 7556384127240000 8060143069056000 9300165079680000 10075178836320000 12090214603584000 13433571781760000 15112768254480000 20150357672640000 24180429207168000 30225536508960000 40300715345280000 60451073017920000 120902146035840000
- Sum of all divisors σ(n): 473362098975842076
- Sum of proper divisors (its aliquot sum) s(n): 352459952940002076
- 120902146035840000 is an abundant number, because the sum of its proper divisors (352459952940002076) is greater than itself. Its abundance is 231557806904162076
Bases of 120902146035840000
- Binary: 1101011011000011111011100011110110000110001110100000000002
- Hexadecimal: 0x1AD87DC7B0C7400
- Base-36: X2G8F4KU0W0
Squares and roots of 120902146035840000
- 120902146035840000 squared (1209021460358400002) is 14617328916071581826564505600000000
- 120902146035840000 cubed (1209021460358400003) is 1767266435264793200798254027133089480704000000000000
-
The
square root of 120902146035840000 is 347709858.9856778853 -
The
cube root of 120902146035840000 is 494475.3766134487
Scales and comparisons
How big is 120902146035840000?- 120,902,146,035,840,000 seconds is equal to 3,844,314,269 years, 2 weeks, 3 days, 8 hours.
-
To count from 1 to 120,902,146,035,840,000 would take you about eleven billion, five hundred thirty-two million, nine hundred forty-two thousand, eight hundred seven 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 120902146035840000 cubic inches would be around 41206.3 feet tall.
Recreational maths with 120902146035840000
- 120902146035840000 backwards is 000048530641209021
- 120902146035840000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 120902146035840000's digits is 45
- 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 120902146035840000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 120902146035840000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/120902146035840000/
Chicago style:
Numbermatics. 2024. "Number 120902146035840000 - Facts about the integer". https://numbermatics.com/n/120902146035840000/
The information we have on file for 120902146035840000 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 120902146035840000, math, Factors of 120902146035840000, curriculum, school, college, exams, university, Prime factorization of 120902146035840000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty quadrillion, nine hundred two trillion, one hundred forty-six billion, thirty-five million, eight hundred forty thousand.