192966856750360000
192,966,856,750,360,000 is an even composite number composed of five prime numbers multiplied together.
192966856750360000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred sixty divisors.
Prime factorization of 192966856750360000:
26 × 54 × 7 × 116 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 73 × 73 × 73)See below for interesting mathematical facts about the number 192966856750360000 from the Numbermatics database.
Names of 192966856750360000
- Cardinal: 192966856750360000 can be written as One hundred ninety-two quadrillion, nine hundred sixty-six trillion, eight hundred fifty-six billion, seven hundred fifty million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 1.9296685675036 × 1017
Factors of 192966856750360000
Divisors of 192966856750360000
- Number of divisors d(n): 1960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 73 77 80 88 100 110 112 121 125 140 146 154 160 175 176 200 220 224 242 250 275 280 292 308 320 350 352 365 385 400 440 448 484 500 511 550 560 584 605 616 625 700 704 730 770 800 803 847 875 880 968 1000 1022 1100 1120 1168 1210 1232 1250 1331 1375 1400 1460 1540 1600 1606 1694 1750 1760 1825 1925 1936 2000 2044 2200 2240 2336 2420 2464 2500 2555 2662 2750 2800 2920 3025 3080 3212 3388 3500 3520 3650 3850 3872 4000 4015 4088 4235 4375 4400 4672 4840 4928 5000 5110 5324 5329 5500 5600 5621 5840 6050 6160 6424 6655 6776 6875 7000 7300 7700 7744 8000 8030 8176 8470 8750 8800 8833 9125 9317 9625 9680 10000 10220 10648 10658 11000 11200 11242 11680 12100 12320 12775 12848 13310 13552 13750 14000 14600 14641 15125 15400 16060 16352 16940 17500 17600 17666 18250 18634 19250 19360 20000 20075 20440 21175 21296 21316 22000 22484 23360 24200 24640 25550 25696 26620 26645 27104 27500 28000 28105 29200 29282 30250 30800 32120 32704 33275 33880 35000 35332 36500 37268 37303 38500 38720 40000 40150 40880 42350 42592 42632 44000 44165 44968 45625 46585 48125 48400 51100 51392 53240 53290 54208 55000 56000 56210 58400 58564 58619 60500 61600 61831 63875 64240 66550 67760 70000 70664 73000 73205 74536 74606 75625 77000 80300 81760 84700 85184 85264 88000 88330 89936 91250 93170 96250 96800 97163 100375 102200 102487 105875 106480 106580 110000 112420 116800 117128 117238 121000 123200 123662 127750 128480 133100 133225 135520 140000 140525 141328 146000 146410 149072 149212 151250 154000 160600 161051 163520 166375 169400 170528 176660 179872 182500 186340 186515 192500 193600 194326 200750 204400 204974 211750 212960 213160 220000 220825 224840 232925 234256 234476 242000 247324 255500 256960 266200 266450 271040 280000 281050 282656 292000 292820 293095 298144 298424 302500 308000 309155 319375 321200 322102 332750 338800 341056 353320 359744 365000 366025 372680 373030 385000 388652 389017 401500 408800 409948 410333 423500 425920 426320 440000 441650 449680 465850 468512 468952 484000 485815 494648 501875 511000 512435 529375 532400 532900 562100 565312 584000 585640 586190 596288 596848 605000 616000 618310 638750 642400 644204 644809 665500 666125 677600 680141 702625 706640 730000 732050 745360 746060 770000 777304 778034 803000 805255 817600 819896 820666 831875 847000 852640 883300 899360 931700 932575 937024 937904 968000 971630 989296 1003750 1022000 1024870 1058750 1064800 1065800 1068793 1104125 1124200 1127357 1164625 1171280 1172380 1193696 1210000 1236620 1277500 1284800 1288408 1289618 1331000 1332250 1355200 1360282 1405250 1413280 1460000 1464100 1465475 1490720 1492120 1540000 1545775 1554608 1556068 1606000 1610510 1639792 1641332 1663750 1694000 1705280 1766600 1771561 1798720 1830125 1863400 1865150 1875808 1943260 1945085 1978592 2007500 2044000 2049740 2051665 2117500 2129600 2131600 2137586 2208250 2248400 2254714 2329250 2342560 2344760 2387392 2420000 2429075 2473240 2555000 2562175 2576816 2579236 2662000 2664500 2720564 2723119 2810500 2826560 2920000 2928200 2930950 2981440 2984240 3080000 3091550 3109216 3112136 3212000 3221020 3224045 3279584 3282664 3327500 3330625 3388000 3400705 3513125 3533200 3543122 3660250 3726800 3730300 3751616 3886520 3890170 3957184 4015000 4026275 4088000 4099480 4103330 4235000 4263200 4275172 4279187 4416500 4496800 4509428 4513663 4658500 4662875 4685120 4689520 4840000 4858150 4946480 5110000 5124350 5153632 5158472 5324000 5329000 5343965 5441128 5446238 5520625 5621000 5636785 5823125 5856400 5861900 5968480 6183100 6218432 6224272 6424000 6442040 6448090 6559168 6565328 6655000 6661250 6776000 6801410 7026250 7066400 7086244 7092899 7320500 7327375 7453600 7460600 7481551 7728875 7773040 7780340 8030000 8052550 8198960 8206660 8470000 8526400 8550344 8558374 8833000 8857805 8993600 9018856 9027326 9150625 9317000 9325750 9379040 9716300 9725425 9892960 10220000 10248700 10258325 10307264 10316944 10648000 10658000 10687930 10882256 10892476 11041250 11242000 11273570 11646250 11712800 11723800 11756723 11936960 12145375 12366200 12400927 12448544 12810875 12884080 12896180 13130656 13310000 13322500 13602820 13615595 14052500 14132800 14172488 14185798 14641000 14654750 14907200 14921200 14963102 15457750 15546080 15560680 16060000 16105100 16120225 16397920 16413320 16940000 17003525 17100688 17116748 17666000 17715610 18037712 18054652 18301250 18634000 18651500 18758080 19432600 19450850 19785920 20131375 20440000 20497400 20516650 20633888 21316000 21375860 21395935 21764512 21784952 22082500 22484000 22547140 22568315 23292500 23314375 23425600 23447600 23513446 24290750 24732400 24801854 24897088 25621750 25768160 25792360 26261312 26620000 26645000 26719825 27205640 27231190 28105000 28183925 28344976 28371596 29282000 29309500 29842400 29926204 29954309 30915500 31092160 31121360 32120000 32210200 32240450 32795840 32826640 33880000 34007050 34201376 34233496 35332000 35431220 35464495 36075424 36109304 36602500 36636875 37268000 37303000 37407755 38644375 38865200 38901700 40262750 40994800 41033300 41267776 42632000 42751720 42791870 43529024 43569904 44165000 44289025 44968000 45094280 45136630 46585000 46628750 46895200 47026892 47071057 48581500 48627125 49464800 49603708 49650293 51243500 51291625 51536320 51584720 53240000 53290000 53439650 54411280 54462380 56210000 56367850 56689952 56743192 58564000 58619000 58783615 59684800 59852408 59908618 60726875 61831000 62004635 62242720 64054375 64420400 64480900 65653280 68014100 68077975 68402752 68466992 70664000 70862440 70928990 72150848 72218608 73205000 73273750 74536000 74606000 74815510 77288750 77730400 77803400 78021889 80525500 80601125 81989600 82066600 82297061 85017625 85503440 85583740 87139808 88330000 88578050 90188560 90273260 93170000 93257500 93790400 94053784 94142114 97163000 97254250 98929600 99207416 99300586 100656875 102487000 102583250 103169440 106580000 106879300 106979675 108822560 108924760 112420000 112735700 112841575 113379904 113486384 117128000 117238000 117567230 119704816 119817236 121453750 123662000 124009270 124485440 128108750 128840800 128961800 129323953 131306560 133599125 136028200 136155950 136933984 140919625 141724880 141857980 144437216 146410000 146547500 149212000 149631020 149771545 154577500 155460800 155606800 156043778 161051000 161202250 163979200 164133200 164594122 170035250 171006880 171167480 174279616 176660000 177156100 177322475 180377120 180546520 186340000 186515000 187038775 188107568 188284228 194326000 194508500 198414832 198601172 201313750 204974000 205166500 206338880 213160000 213758600 213959350 217645120 217849520 221445125 224840000 225471400 225683150 226972768 234476000 235134460 235355285 239409632 239634472 242907500 243135625 247324000 248018540 248251465 256217500 256458125 257681600 257923600 258647906 267198250 272056400 272311900 273867968 281839250 283449760 283715960 288874432 292820000 293095000 293918075 298424000 299262040 299543090 309155000 310023175 311213600 312087556 322102000 322404500 328266400 329188244 329497399 340070500 340389875 342013760 342334960 353320000 354312200 354644950 360754240 361093040 372680000 373030000 374077550 376215136 376568456 388652000 389017000 390109445 396829664 397202344 402627500 403005625 409948000 410333000 411485305 425088125 427517200 427918700 435699040 442890250 450942800 451366300 453945536 468952000 470268920 470710570 478819264 479268944 485815000 486271250 494648000 496037080 496502930 512435000 512916250 515847200 517295812 517781627 534396500 534898375 544112800 544623800 546153223 563678500 564207875 566899520 567431920 585640000 586190000 587836150 598524080 599086180 618310000 620046350 622427200 624175112 644204000 644809000 646619765 656532800 658376488 658994798 667995625 680141000 680779750 684669920 704598125 708624400 709289900 722186080 746060000 748155100 748857725 752430272 753136912 777304000 778034000 780218890 793659328 794404688 805255000 806011250 819896000 820666000 822970610 850176250 855034400 855837400 858240779 871398080 885780500 886612375 901885600 902732600 905267671 935193875 940537840 941421140 958537888 971630000 972542500 992074160 993005860 1024870000 1025832500 1031694400 1034591624 1035563254 1068793000 1069796750 1088225600 1089247600 1092306446 1107225625 1127357000 1128415750 1134863840 1172380000 1175672300 1176776425 1197048160 1198172360 1236620000 1240092700 1241257325 1248350224 1288408000 1289618000 1293239530 1316752976 1317989596 1335991250 1360282000 1361559500 1369339840 1409196250 1417248800 1418579800 1444372160 1469590375 1492120000 1496310200 1497715450 1506273824 1550115875 1556068000 1560437780 1588809376 1610510000 1612022500 1641332000 1645941220 1647486995 1700352500 1701949375 1710068800 1711674800 1716481558 1771561000 1773224750 1803771200 1805465200 1810535342 1870387750 1881075680 1882842280 1917075776 1943260000 1945085000 1950547225 1984148320 1986011720 2049740000 2051665000 2057426525 2069183248 2071126508 2137586000 2139593500 2178495200 2184612892 2214451250 2254714000 2256831500 2269727680 2344760000 2351344600 2353552850 2394096320 2396344720 2473240000 2480185400 2482514650 2496700448 2579236000 2586479060 2588908135 2633505952 2635979192 2671982500 2674491875 2720564000 2723119000 2730766115 2818392500 2821039375 2834497600 2837159600 2939180750 2992620400 2995430900 3012547648 3100231750 3112136000 3120875560 3177618752 3221020000 3224045000 3233098825 3282664000 3291882440 3294973990 3400705000 3403898750 3423349600 3432963116 3543122000 3546449500 3610930400 3621070684 3624471389 3740775500 3744288625 3762151360 3765684560 3886520000 3890170000 3901094450 3968296640 3972023440 4099480000 4103330000 4114853050 4138366496 4142253016 4275172000 4279187000 4291203895 4356990400 4369225784 4428902500 4433061875 4509428000 4513663000 4526338355 4675969375 4702689200 4707105700 4792689440 4960370800 4965029300 4993400896 5158472000 5172958120 5177816270 5267011904 5271958384 5343965000 5348983750 5441128000 5446238000 5461532230 5636785000 5642078750 5674319200 5695597897 5878361500 5883882125 5985240800 5990861800 6007685453 6200463500 6206286625 6241751120 6442040000 6448090000 6466197650 6583764880 6589947980 6801410000 6807797500 6846699200 6865926232 7086244000 7092899000 7221860800 7242141368 7248942778 7347951875 7481551000 7488577250 7531369120 7750579375 7780340000 7802188900 7944046880 8206660000 8229706100 8237434975 8276732992 8284506032 8550344000 8558374000 8582407790 8738451568 8857805000 8866123750 9018856000 9027326000 9052676710 9351938750 9405378400 9414211400 9440648569 9585378880 9752736125 9920741600 9930058600 10287132625 10345916240 10355632540 10543916768 10687930000 10697967500 10892476000 10923064460 11273570000 11284157500 11348638400 11391195794 11756723000 11767764250 11970481600 11981723600 12015370906 12400927000 12412573250 12483502240 12896180000 12932395300 12944540675 13167529760 13179895960 13602820000 13615595000 13653830575 13731852464 14172488000 14185798000 14484282736 14497885556 14695903750 14963102000 14977154500 15062738240 15501158750 15560680000 15604377800 15888093760 16165494125 16413320000 16459412200 16474869950 16569012064 17116748000 17164815580 17476903136 17715610000 17732247500 18054652000 18105353420 18122356945 18703877500 18721443125 18810756800 18828422800 18881297138 19505472250 19841483200 19860117200 20574265250 20691832480 20711265080 21087833536 21375860000 21395935000 21456019475 21784952000 21846128920 22547140000 22568315000 22631691775 22782391588 23513446000 23535528500 23963447200 24030741812 24801854000 24825146500 24967004480 25792360000 25864790600 25889081350 26335059520 26359791920 27205640000 27231190000 27307661150 27463704928 28371596000 28477989485 28968565472 28995771112 29391807500 29419410625 29926204000 29954309000 30038427265 31002317500 31031433125 31208755600 32330988250 32918824400 32949739900 33138024128 34233496000 34329631160 34953806272 35431220000 35464495000 36109304000 36210706840 36244713890 37407755000 37442886250 37656845600 37762594276 39010944500 39720234400 39869185279 41148530500 41187174875 41383664960 41422530160 42751720000 42791870000 42912038950 43692257840 45094280000 45136630000 45263383550 45564783176 47026892000 47071057000 47203242845 47926894400 48061483624 48763680625 49603708000 49650293000 51435663125 51729581200 51778162700 52719583840 54462380000 54615322300 54927409856 56743192000 56955978970 57937130944 57991542224 58783615000 58838821250 59852408000 59908618000 60076854530 62004635000 62062866250 62417511200 62651576867 64661976500 64722703375 65837648800 65899479800 66084539983 68269152875 68659262320 70862440000 70928990000 72421413680 72489427780 74815510000 74885772500 75313691200 75525188552 78021889000 79440468800 79738370558 80827470625 82297061000 82374349750 82845060320 85583740000 85824077900 87384515680 90273260000 90526767100 90611784725 91129566352 94053784000 94142114000 94406485690 96122967248 97527361250 99207416000 99300586000 102871326250 103459162400 103556325400 105439167680 107280097375 108924760000 109230644600 113158458875 113911957940 115983084448 117567230000 117677642500 119817236000 120153709060 124009270000 124125732500 124835022400 125303153734 129323953000 129445406750 131675297600 131798959600 132169079966 136538305750 137318524640 141857980000 142389947425 144842827360 144978855560 149631020000 149771545000 150192136325 151050377104 156043778000 159476741116 161654941250 164594122000 164748699500 165690120640 171167480000 171648155800 174769031360 180546520000 181053534200 181223569450 182259132704 188284228000 188812971380 192245934496 195054722500 198601172000 199345926395 205742652500 205935874375 206918324800 207112650800 214560194750 218461289200 226316917750 227823915880 231966168896 235134460000 235355285000 236016214225 239634472000 240307418120 248018540000 248251465000 250606307468 258647906000 258890813500 263597919200 264338159932 273076611500 274637049280 283715960000 284779894850 289685654720 289957711120 299262040000 299543090000 300384272650 302100754208 312087556000 313257884335 318953482232 323309882500 323613516875 329188244000 329497399000 330422699915 341345764375 343296311600 362107068400 362447138900 364518265408 376568456000 377625942760 384491868992 390109445000 397202344000 398691852790 411485305000 411871748750 414225301600 429120389500 436922578400 438561038069 452633835500 453058923625 455647831760 470268920000 470710570000 472032428450 480614836240 496037080000 496502930000 501212614936 517295812000 517781627000 527195838400 528676319864 536400486875 546153223000 565792294375 569559789700 579915422240 599086180000 600768545300 604201508416 624175112000 626515768670 637906964464 646619765000 647227033750 658376488000 658994798000 660845399830 682691528750 686592623200 689167345537 711949737125 724214136800 724894277800 750960681625 755251885520 780218890000 797383705580 822970610000 823743497500 828450603200 858240779000 873845156800 877122076138 905267671000 906117847250 911295663520 941421140000 944064856900 961229672480 993005860000 996729631975 1002425229872 1034591624000 1035563254000 1057352639728 1072800973750 1092306446000 1131584588750 1139119579400 1159830844480 1180081071125 1198172360000 1201537090600 1253031537340 1275813928928 1293239530000 1294454067500 1317989596000 1321690799660 1365383057500 1373185246400 1378334691074 1423899474250 1448428273600 1449788555600 1501921363250 1510503771040 1560437780000 1566289421675 1594767411160 1645941220000 1647486995000 1652113499575 1716481558000 1754244152276 1810535342000 1812235694500 1822591327040 1882842280000 1888129713800 1922459344960 1986011720000 1993459263950 2004850459744 2071126508000 2114705279456 2145601947500 2184612892000 2192805190345 2263169177500 2265294618125 2278239158800 2360162142250 2403074181200 2506063074680 2551627857856 2586479060000 2588908135000 2635979192000 2643381599320 2730766115000 2756669382148 2847798948500 2899577111200 3003842726500 3021007542080 3120875560000 3132578843350 3189534822320 3291882440000 3294973990000 3304226999150 3432963116000 3445836727685 3508488304552 3559748685625 3621070684000 3624471389000 3754803408125 3776259427600 3986918527900 4009700919488 4142253016000 4229410558912 4291203895000 4369225784000 4385610380690 4526338355000 4530589236250 4556478317600 4720324284500 4806148362400 4824171418759 4983648159875 5012126149360 5172958120000 5177816270000 5286763198640 5461532230000 5513338764296 5695597897000 5799154222400 5900405355625 6007685453000 6265157686700 6379069644640 6589947980000 6608453998300 6865926232000 6891673455370 7016976609104 7119497371250 7242141368000 7248942778000 7509606816250 7552518855200 7831447108375 7973837055800 8260567497875 8582407790000 8771220761380 9052676710000 9061178472500 9112956635200 9440648569000 9612296724800 9648342837518 9967296319750 10024252298720 10355632540000 10573526397280 10923064460000 10964025951725 11026677528592 11391195794000 11800810711250 12015370906000 12530315373400 12758139289280 13179895960000 13216907996600 13783346910740 14033953218208 14238994742500 14497885556000 15019213632500 15105037710400 15662894216750 15947674111600 16521134995750 17164815580000 17229183638425 17542441522760 18105353420000 18122356945000 18881297138000 19296685675036 19934592639500 20048504597440 20711265080000 21147052794560 21846128920000 21928051903450 22053355057184 22782391588000 23601621422500 24030741812000 24120857093795 24918240799375 25060630746800 26433815993200 27566693821480 28067906436416 28477989485000 28995771112000 30038427265000 31325788433500 31895348223200 33042269991500 34329631160000 34458367276850 35084883045520 36210706840000 36244713890000 37762594276000 38593371350072 39157235541875 39869185279000 41302837489375 43856103806900 44106710114368 45564783176000 47203242845000 48061483624000 48241714187590 49836481598750 50121261493600 52867631986400 54820129758625 55133387642960 56955978970000 60076854530000 62651576867000 63790696446400 66084539983000 68916734553700 70169766091040 72489427780000 75525188552000 77186742700144 78314471083750 79738370558000 82605674978750 86145918192125 87712207613800 94406485690000 96483428375180 99672963197500 100242522987200 105735263972800 109640259517250 110266775285920 113911957940000 120153709060000 120604285468975 125303153734000 132169079966000 137833469107400 140339532182080 144978855560000 154373485400288 156628942167500 159476741116000 165211349957500 172291836384250 175424415227600 188812971380000 192966856750360 199345926395000 219280519034500 220533550571840 227823915880000 240307418120000 241208570937950 250606307468000 264338159932000 274100648793125 275666938214800 308746970800576 313257884335000 318953482232000 330422699915000 344583672768500 350848830455200 377625942760000 385933713500720 398691852790000 430729590960625 438561038069000 482417141875900 501212614936000 528676319864000 548201297586250 551333876429600 603021427344875 626515768670000 660845399830000 689167345537000 701697660910400 771867427001440 797383705580000 861459181921250 877122076138000 964834283751800 1096402595172500 1102667752859200 1206042854689750 1253031537340000 1321690799660000 1378334691074000 1543734854002880 1594767411160000 1722918363842500 1754244152276000 1929668567503600 2192805190345000 2412085709379500 2506063074680000 2643381599320000 2756669382148000 3015107136724375 3445836727685000 3508488304552000 3859337135007200 4385610380690000 4824171418759000 5513338764296000 6030214273448750 6891673455370000 7718674270014400 8771220761380000 9648342837518000 12060428546897500 13783346910740000 17542441522760000 19296685675036000 24120857093795000 27566693821480000 38593371350072000 48241714187590000 96483428375180000 192966856750360000
- Sum of all divisors σ(n): 609891308625753440
- Sum of proper divisors (its aliquot sum) s(n): 416924451875393440
- 192966856750360000 is an abundant number, because the sum of its proper divisors (416924451875393440) is greater than itself. Its abundance is 223957595125033440
Bases of 192966856750360000
- Binary: 10101011011000111001010101011101100000011101100101110000002
- Hexadecimal: 0x2AD8E55760765C0
- Base-36: 1GS11I70KF5S
Squares and roots of 192966856750360000
- 192966856750360000 squared (1929668567503600002) is 37236207804113956699360129600000000
- 192966856750360000 cubed (1929668567503600003) is 7185353977263094977890609969596404446656000000000000
-
The
square root of 192966856750360000 is 439279929.8287596477 -
The
cube root of 192966856750360000 is 577866.5743579163
Scales and comparisons
How big is 192966856750360000?- 192,966,856,750,360,000 seconds is equal to 6,135,749,158 years, 51 weeks, 21 hours, 46 minutes, 40 seconds.
-
To count from 1 to 192,966,856,750,360,000 would take you about eighteen billion, four hundred seven million, two hundred forty-seven thousand, four hundred seventy-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 192966856750360000 cubic inches would be around 48155.5 feet tall.
Recreational maths with 192966856750360000
- 192966856750360000 backwards is 000063057658669291
- 192966856750360000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 192966856750360000's digits is 73
- 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 192966856750360000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 192966856750360000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/192966856750360000/
Chicago style:
Numbermatics. 2024. "Number 192966856750360000 - Facts about the integer". https://numbermatics.com/n/192966856750360000/
The information we have on file for 192966856750360000 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 192966856750360000, math, Factors of 192966856750360000, curriculum, school, college, exams, university, Prime factorization of 192966856750360000, STEM, science, technology, engineering, physics, economics, calculator, one hundred ninety-two quadrillion, nine hundred sixty-six trillion, eight hundred fifty-six billion, seven hundred fifty million, three hundred sixty thousand.