48369157536000
48,369,157,536,000 is an even composite number composed of six prime numbers multiplied together.
48369157536000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48369157536000:
28 × 3 × 53 × 73 × 29 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 29 × 37 × 37 × 37)See below for interesting mathematical facts about the number 48369157536000 from the Numbermatics database.
Names of 48369157536000
- Cardinal: 48369157536000 can be written as Forty-eight trillion, three hundred sixty-nine billion, one hundred fifty-seven million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.8369157536 × 1013
Factors of 48369157536000
Divisors of 48369157536000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 37 40 42 48 49 50 56 58 60 64 70 74 75 80 84 87 96 98 100 105 111 112 116 120 125 128 140 145 147 148 150 160 168 174 175 185 192 196 200 203 210 222 224 232 240 245 250 256 259 280 290 294 296 300 320 336 343 348 350 370 375 384 392 400 406 420 435 444 448 464 480 490 500 518 525 555 560 580 588 592 600 609 640 672 686 696 700 725 735 740 750 768 777 784 800 812 840 870 875 888 896 925 928 960 980 1000 1015 1029 1036 1050 1073 1110 1120 1160 1176 1184 1200 1218 1225 1280 1295 1344 1369 1372 1392 1400 1421 1450 1470 1480 1500 1554 1568 1600 1624 1680 1715 1740 1750 1776 1792 1813 1850 1856 1920 1960 2000 2030 2058 2072 2100 2146 2175 2220 2240 2320 2352 2368 2400 2436 2450 2590 2625 2688 2738 2744 2775 2784 2800 2842 2900 2940 2960 3000 3045 3108 3136 3200 3219 3248 3360 3430 3480 3500 3552 3625 3626 3675 3700 3712 3840 3885 3920 4000 4060 4107 4116 4144 4200 4263 4292 4350 4440 4480 4625 4640 4704 4736 4800 4872 4900 5075 5145 5180 5250 5365 5376 5439 5476 5488 5550 5568 5600 5684 5800 5880 5920 6000 6090 6125 6216 6272 6400 6438 6475 6496 6720 6845 6860 6960 7000 7104 7105 7250 7252 7350 7400 7424 7511 7770 7840 8000 8120 8214 8232 8288 8400 8526 8575 8584 8700 8880 8960 9065 9250 9280 9408 9472 9583 9600 9744 9800 9947 10150 10290 10360 10500 10730 10875 10878 10952 10976 11100 11136 11200 11368 11600 11760 11840 12000 12180 12250 12432 12544 12691 12876 12950 12992 13440 13690 13720 13875 13920 14000 14208 14210 14500 14504 14700 14800 15022 15225 15540 15680 16000 16095 16240 16428 16464 16576 16800 17052 17150 17168 17400 17760 18130 18375 18500 18560 18816 19166 19200 19425 19488 19600 19894 20300 20535 20580 20720 21000 21315 21460 21750 21756 21904 21952 22200 22272 22400 22533 22736 23200 23520 23680 24000 24360 24500 24864 25375 25382 25725 25752 25900 25984 26825 26880 27195 27380 27440 27750 27840 28000 28416 28420 28749 29000 29008 29400 29600 29841 30044 30450 31080 31360 32000 32190 32375 32480 32856 32928 33152 33600 34104 34225 34300 34336 34800 35520 35525 36260 36750 37000 37120 37555 37632 38073 38332 38850 38976 39200 39701 39788 40600 41070 41160 41440 42000 42630 42875 42920 43500 43512 43808 43904 44400 44800 45066 45325 45472 46400 47040 47360 47915 48000 48720 49000 49728 49735 50653 50750 50764 51450 51504 51800 51968 52577 53650 54390 54760 54880 55500 55680 56000 56840 57498 58000 58016 58800 59200 59682 60088 60900 62160 62720 63455 64380 64750 64960 65712 65856 66304 67081 67200 68208 68450 68600 68672 69600 71040 71050 72520 73500 74000 75110 76125 76146 76664 77700 77952 78400 79402 79576 80475 81200 82140 82320 82880 84000 85260 85750 85840 87000 87024 87616 87808 88800 90132 90650 90944 92800 94080 95830 96000 97125 97440 98000 99456 99470 101306 101500 101528 102675 102900 103008 103600 105154 106575 107300 108780 109520 109760 111000 111360 112000 112665 113680 114996 116000 116032 117600 118400 119103 119364 120176 121800 124320 126910 128625 128760 129500 129920 131424 131712 134125 134162 134400 135975 136416 136900 137200 137344 139200 142080 142100 143745 145040 147000 148000 149205 150220 151959 152250 152292 153328 155400 155904 156800 157731 158804 159152 160950 162400 164280 164640 165760 168000 170520 171125 171500 171680 174000 174048 175232 177600 177625 180264 181300 181888 185600 187775 188160 190365 191660 194250 194880 196000 198505 198912 198940 201243 202612 203000 203056 205350 205800 206016 207200 210308 213150 214600 217560 219040 219520 222000 224000 225330 226625 227360 229992 232000 232064 235200 236800 238206 238728 239575 240352 243600 248640 248675 253265 253820 257250 257520 259000 259840 262848 262885 263424 268250 268324 271950 272832 273800 274400 274688 277907 278400 284200 287490 290080 294000 296000 298410 300440 303918 304500 304584 306656 310800 313600 315462 317275 317608 318304 321900 324800 328560 329280 331520 335405 336000 341040 342250 343000 343360 348000 348096 350464 354571 355200 355250 360528 362600 363776 368039 375550 380730 383320 388500 389760 392000 397010 397880 402375 402486 405224 406000 406112 410700 411600 412032 414400 420616 426300 429200 435120 438080 439040 444000 450660 453250 454720 459984 464000 464128 469567 470400 476412 477456 479150 480704 487200 497280 497350 506530 507640 513375 514500 515040 518000 525696 525770 532875 536500 536648 543900 545664 547600 548800 555814 556800 563325 568400 574980 580160 588000 592000 595515 596820 600880 607836 609000 609168 613312 621600 630924 634550 635216 636608 643800 649600 657120 658560 670810 672000 679875 682080 684500 686000 686720 696000 696192 709142 710400 710500 718725 721056 725200 736078 746025 751100 759795 761460 766640 777000 779520 784000 788655 794020 795760 804750 804972 810448 812000 812224 821400 823200 824064 828800 833721 841232 852600 858400 870240 876160 888000 901320 906500 909440 919968 928000 938875 939134 940800 951825 952824 954912 958300 961408 974400 992525 994560 994700 1006215 1013060 1015280 1026750 1029000 1030080 1036000 1051392 1051540 1063713 1065750 1073000 1073296 1087800 1091328 1095200 1097600 1104117 1111628 1126650 1136800 1149960 1160320 1176000 1184000 1191030 1193640 1197875 1201760 1215672 1218000 1218336 1226624 1243200 1243375 1261848 1266325 1269100 1270432 1273216 1287600 1299200 1314240 1314425 1317120 1341620 1359750 1364160 1369000 1372000 1373440 1389535 1392000 1392384 1408701 1418284 1421000 1437450 1442112 1450400 1468937 1472156 1492050 1502200 1519590 1522920 1533280 1554000 1568000 1577310 1586375 1588040 1591520 1609500 1609944 1620896 1624000 1624448 1642800 1646400 1657600 1667442 1677025 1682464 1705200 1716800 1740480 1752320 1772855 1776000 1802640 1813000 1818880 1839936 1840195 1877750 1878268 1903650 1905648 1909824 1916600 1922816 1945349 1948800 1985050 1989400 2012430 2026120 2030560 2053500 2058000 2060160 2072000 2103080 2127426 2131500 2146000 2146592 2175600 2190400 2195200 2208234 2223256 2253300 2273600 2299920 2320640 2347835 2352000 2382060 2387280 2395750 2403520 2431344 2436000 2436672 2453248 2481997 2486400 2486750 2523696 2532650 2538200 2540864 2546432 2575200 2628480 2628850 2683240 2719500 2728320 2738000 2744000 2779070 2784000 2816625 2817402 2836568 2842000 2874900 2884224 2900800 2937874 2944312 2977575 2984100 3004400 3039180 3045840 3066560 3108000 3154620 3172750 3176080 3183040 3219000 3219888 3241792 3248000 3248896 3285600 3292800 3334884 3354050 3364928 3410400 3433600 3480960 3545710 3552000 3593625 3605280 3626000 3679872 3680390 3730125 3755500 3756536 3798975 3807300 3811296 3819648 3833200 3890698 3897600 3943275 3970100 3978800 4024860 4052240 4061120 4107000 4116000 4120320 4144000 4168605 4206160 4254852 4263000 4292000 4293184 4351200 4380800 4406811 4416468 4446512 4506600 4547200 4599840 4695670 4704000 4759125 4764120 4774560 4791500 4807040 4862688 4872000 4873344 4962625 4963994 4972800 4973500 5031075 5047392 5065300 5076400 5081728 5150400 5256960 5257700 5318565 5366480 5439000 5456640 5476000 5488000 5520585 5558140 5633250 5634804 5673136 5684000 5749800 5768448 5801600 5836047 5875748 5888624 5955150 5968200 6008800 6078360 6091680 6133120 6216000 6309240 6331625 6345500 6352160 6366080 6438000 6439776 6483584 6496000 6571200 6572125 6585600 6669768 6708100 6729856 6820800 6867200 6947675 6961920 7043505 7091420 7187250 7210560 7252000 7344685 7359744 7360780 7445991 7460250 7511000 7513072 7597950 7614600 7622592 7639296 7666400 7781396 7886550 7940200 7957600 8049720 8104480 8122240 8214000 8232000 8288000 8337210 8385125 8412320 8509704 8526000 8584000 8586368 8702400 8761600 8813622 8832936 8864275 8893024 9013200 9094400 9199680 9200975 9391340 9518250 9528240 9549120 9583000 9614080 9725376 9726745 9744000 9746688 9925250 9927988 9947000 10062150 10094784 10130600 10152800 10163456 10282559 10300800 10515400 10637130 10732960 10878000 10952000 10976000 11041170 11116280 11266500 11269608 11346272 11368000 11499600 11603200 11672094 11739175 11751496 11777248 11910300 11936400 12017600 12156720 12183360 12266240 12409985 12432000 12618480 12663250 12691000 12704320 12732160 12876000 12879552 12967168 13142400 13144250 13339536 13416200 13459712 13617443 13641600 13895350 14087010 14182840 14374500 14421120 14504000 14689370 14721560 14887875 14891982 14920500 15022000 15026144 15195900 15229200 15245184 15332800 15562792 15773100 15880400 15915200 16099440 16208960 16244480 16428000 16464000 16674420 16770250 16824640 17019408 17052000 17168000 17172736 17373979 17404800 17627244 17665872 17728550 17786048 18026400 18399360 18401950 18782680 18994875 19036500 19056480 19098240 19166000 19450752 19453490 19488000 19716375 19850500 19855976 19894000 20124300 20189568 20261200 20305600 20565118 20601600 20843025 21030800 21274260 21465920 21756000 21904000 22034055 22082340 22232560 22533000 22539216 22692544 22736000 22999200 23344188 23478350 23502992 23554496 23820600 23872800 24035200 24313440 24366720 24819970 24864000 25155375 25236960 25326500 25382000 25408640 25752000 25759104 26284800 26288500 26592825 26679072 26832400 27234886 27283200 27602925 27790700 28174020 28365680 28749000 28842240 29008000 29180235 29378740 29443120 29775750 29783964 29841000 30044000 30052288 30391800 30458400 30490368 30665600 30847677 31125584 31546200 31760800 31830400 32198880 32417920 32856000 32928000 33348840 33540500 33649280 34038816 34104000 34336000 34738375 34747958 34809600 35217525 35254488 35331744 35457100 35572096 36052800 36723425 36798720 36803900 37229955 37565360 37989750 38073000 38112960 38196480 38332000 38901504 38906980 39432750 39701000 39711952 39788000 40248600 40379136 40522400 40611200 40852329 41130236 41686050 42061600 42548520 42931840 43512000 43808000 44068110 44164680 44321375 44465120 45066000 45078432 45385088 45472000 45998400 46004875 46688376 46956700 47005984 47108992 47641200 47745600 48070400 48626880 48633725 48733440 49639940 50310750 50473920 50653000 50764000 50817280 51412795 51504000 51518208 52121937 52577000 53185650 53358144 53664800 54469772 55205850 55581400 56348040 56731360 57498000 58016000 58360470 58695875 58757480 58886240 59551500 59567928 59682000 60088000 60104576 60783600 60916800 61331200 61695354 62049925 62251168 63092400 63521600 63660800 64397760 64835840 65712000 66697680 67081000 67298560 68077632 68087215 68208000 69476750 69495916 70435050 70508976 70663488 70914200 71144192 71977913 72105600 73446850 73607800 74459910 75130720 75979500 76146000 76225920 76664000 77813960 78865500 79402000 79423904 79576000 80497200 81044800 81222400 81704658 82260472 83372100 84123200 85097040 85863680 86869895 87024000 88136220 88329360 88642750 88930240 90132000 90156864 90770176 91996800 92009750 93376752 93913400 94011968 94217984 95282400 95491200 97253760 97267450 99279880 100621500 100947840 101306000 101528000 102825590 103008000 104215125 104243874 105154000 106371300 106716288 107329600 108939544 110170275 110411700 111162800 112696080 113462720 114996000 116720940 117391750 117514960 117772480 119103000 119135856 119364000 120176000 120209152 121567200 121833600 123390708 124099850 124502336 126184800 127043200 128795520 131424000 132964125 133395360 134162000 136155264 136174430 136416000 138014625 138953500 138991832 140870100 141017952 141326976 141828400 143955826 144211200 145901175 146893700 147215600 148919820 150261440 151959000 152292000 152451840 153328000 154238385 155627920 157731000 158804000 158847808 159152000 160994400 162089600 163409316 164520944 166744200 168246400 170194080 173739790 174048000 176087625 176272440 176658720 177285500 177860480 180264000 180313728 183617125 183993600 184019500 186149775 186753504 187826800 188023936 190564800 190982400 194507520 194534900 198559760 201243000 201895680 202612000 203056000 204261645 205651180 208430250 208487748 210308000 212742600 213432576 214659200 215933739 217879088 220340550 220823400 222325600 225392160 226925440 229992000 233441880 234783500 235029920 235544960 238206000 238271712 238728000 240352000 243134400 243168625 243667200 246781416 248199700 249004672 252369600 254086400 257063975 257591040 260609685 265928250 266790720 268324000 272310528 272348860 276029250 277907000 277983664 281740200 282035904 282653952 283656800 287911652 291802350 293787400 294431200 297839640 300522880 303918000 304584000 306656000 308476770 310249625 311255840 315462000 317608000 317695616 318304000 321988800 324179200 326818632 329041888 333488400 336492800 340388160 340436075 347479580 352175250 352544880 353317440 354571000 355720960 359889565 360528000 360627456 367234250 368039000 372299550 373507008 375653600 376047872 381129600 389069800 397119520 402486000 405224000 406112000 408523290 411302360 416860500 416975496 420616000 425485200 429318400 431867478 434349475 435758176 440681100 441646800 444651200 450784320 453850880 459984000 466883760 469567000 470059840 471089920 476412000 476543424 477456000 486268800 486337250 493562832 496399400 498009344 503845391 504739200 514127950 521219370 531856500 533581440 536648000 544697720 550851375 552058500 555814000 555967328 563480400 564071808 567313600 575823304 583604700 587574800 588862400 595679280 601045760 607836000 609168000 616953540 620499250 622511680 630924000 635216000 635391232 643977600 653637264 658083776 666976800 680776320 680872150 694959160 704350500 705089760 706634880 709142000 719779130 721056000 729505875 734468500 736078000 744599100 747014016 751307200 762259200 771191925 778139600 794239040 804972000 810448000 817046580 822604720 833721000 833950992 841232000 850970400 863734956 868698950 871516352 881362200 883293600 889302400 901568640 919968000 930748875 933767520 939134000 940119680 952824000 953086848 954912000 972537600 972674500 987125664 992798800 1007690782 1009478400 1021308225 1028255900 1042438740 1063713000 1067162880 1073296000 1079668695 1089395440 1101702750 1104117000 1111628000 1111934656 1126960800 1128143616 1134627200 1151646608 1167209400 1175149600 1177724800 1191358560 1215672000 1218336000 1233907080 1240998500 1245023360 1261848000 1270432000 1285319875 1287955200 1303048425 1307274528 1316167552 1333953600 1361552640 1361744300 1389918320 1408701000 1410179520 1413269760 1418284000 1439558260 1459011750 1468937000 1472156000 1489198200 1494028032 1502614400 1511536173 1542383850 1556279200 1588478080 1609944000 1620896000 1634093160 1645209440 1667442000 1667901984 1682464000 1701940800 1702180375 1727469912 1737397900 1743032704 1762724400 1766587200 1778604800 1799447825 1803137280 1861497750 1867535040 1878268000 1880239360 1905648000 1906173696 1945349000 1974251328 1985597600 2015381564 2042616450 2056511800 2084877480 2127426000 2146592000 2159337390 2171747375 2178790880 2203405500 2208234000 2223256000 2223869312 2253921600 2269254400 2303293216 2334418800 2350299200 2355449600 2382717120 2431344000 2467814160 2481997000 2490046720 2519226955 2523696000 2570639750 2606096850 2614549056 2632335104 2667907200 2723488600 2779836640 2817402000 2820359040 2836568000 2879116520 2918023500 2937874000 2944312000 2978396400 3005228800 3023072346 3084767700 3112558400 3176956160 3219888000 3268186320 3290418880 3334884000 3335803968 3403881600 3404360750 3454939824 3474795800 3486065408 3525448800 3533174400 3598895650 3722995500 3735070080 3756536000 3811296000 3855959625 3890698000 3948502656 3971195200 4030763128 4085232900 4113023600 4169754960 4254852000 4318674780 4343494750 4357581760 4406811000 4416468000 4446512000 4447738624 4507843200 4606586432 4668837600 4700598400 4765434240 4862688000 4935628320 4963994000 5038453910 5047392000 5106541125 5141279500 5212193700 5229098112 5335814400 5398343475 5446977200 5559673280 5634804000 5640718080 5673136000 5758233040 5836047000 5875748000 5888624000 5956792800 6046144692 6169535400 6225116800 6439776000 6515242125 6536372640 6580837760 6669768000 6671607936 6807763200 6808721500 6909879648 6949591600 7050897600 7066348800 7197791300 7445991000 7470140160 7513072000 7557680865 7711919250 7781396000 7897005312 7942390400 8061526256 8170465800 8226047200 8339509920 8509704000 8637349560 8686989500 8715163520 8813622000 8832936000 8893024000 8997239125 9015686400 9213172864 9337675200 9401196800 9530868480 9871256640 9927988000 10076907820 10213082250 10282559000 10424387400 10458196224 10796686950 10893954400 11119346560 11269608000 11346272000 11516466080 11672094000 11751496000 11777248000 11913585600 12092289384 12339070800 12450233600 12596134775 13030484250 13072745280 13161675520 13339536000 13343215872 13617443000 13819759296 13899183200 14101795200 14395582600 14891982000 15026144000 15115361730 15423838500 15562792000 15884780800 16123052512 16340931600 16452094400 16679019840 17019408000 17274699120 17373979000 17430327040 17627244000 17665872000 17994478250 18426345728 18675350400 19742513280 19855976000 20153815640 20426164500 20565118000 20848774800 21593373900 21787908800 22238693120 22539216000 23032932160 23344188000 23502992000 23827171200 24184578768 24678141600 25192269550 26060968500 26145490560 26679072000 26991717375 27234886000 27639518592 27798366400 28203590400 28791165200 29783964000 30230723460 30847677000 31125584000 32246105024 32681863200 32904188800 33358039680 34038816000 34549398240 34747958000 35254488000 35331744000 35988956500 37350700800 37788404325 39485026560 39711952000 40307631280 40852329000 41130236000 41697549600 43186747800 43575817600 45078432000 46065864320 46688376000 47005984000 47654342400 48369157536 49356283200 50384539100 52121937000 52290981120 53983434750 54469772000 55279037184 55596732800 57582330400 59567928000 60461446920 61695354000 62251168000 62980673875 64492210048 65363726400 65808377600 66716079360 69098796480 69495916000 70508976000 71977913000 75576808650 79423904000 80615262560 81704658000 82260472000 83395099200 86373495600 87151635200 92131728640 93376752000 96738315072 98712566400 100769078200 104243874000 107966869500 108939544000 111193465600 115164660800 119135856000 120922893840 123390708000 125961347750 128984420096 130727452800 138197592960 138991832000 141017952000 143955826000 151153617300 161230525120 163409316000 164520944000 166790198400 172746991200 186753504000 188942021625 193476630144 197425132800 201538156400 208487748000 215933739000 217879088000 230329321600 238271712000 241845787680 246781416000 251922695500 261454905600 276395185920 277983664000 287911652000 302307234600 322461050240 326818632000 329041888000 333580396800 345493982400 377884043250 386953260288 403076312800 416975496000 431867478000 435758176000 460658643200 483691575360 493562832000 503845391000 555967328000 575823304000 604614469200 644922100480 653637264000 690987964800 755768086500 806152625600 833950992000 863734956000 967383150720 987125664000 1007690782000 1151646608000 1209228938400 1307274528000 1381975929600 1511536173000 1612305251200 1667901984000 1727469912000 1934766301440 2015381564000 2303293216000 2418457876800 3023072346000 3224610502400 3454939824000 4030763128000 4836915753600 6046144692000 6909879648000 8061526256000 9673831507200 12092289384000 16123052512000 24184578768000 48369157536000
- Sum of all divisors σ(n): 199200718080000
- Sum of proper divisors (its aliquot sum) s(n): 150831560544000
- 48369157536000 is an abundant number, because the sum of its proper divisors (150831560544000) is greater than itself. Its abundance is 102462403008000
Bases of 48369157536000
- Binary: 10101111111101110100100111001111111001000000002
- Hexadecimal: 0x2BFDD273F900
- Base-36: H58HFJITC
Squares and roots of 48369157536000
- 48369157536000 squared (483691575360002) is 2339575400742385591296000000
- 48369157536000 cubed (483691575360003) is 113163291125858780017852734406656000000000
-
The
square root of 48369157536000 is 6954793.8528758709 -
The
cube root of 48369157536000 is 36435.3412180679
Scales and comparisons
How big is 48369157536000?- 48,369,157,536,000 seconds is equal to 1,537,989 years, 30 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 48,369,157,536,000 would take you about three million, eight hundred forty-four thousand, nine hundred seventy-three 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 48369157536000 cubic inches would be around 3036.3 feet tall.
Recreational maths with 48369157536000
- 48369157536000 backwards is 00063575196384
- The number of decimal digits it has is: 14
- The sum of 48369157536000's digits is 57
- 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 48369157536000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 48369157536000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/48369157536000/
Chicago style:
Numbermatics. 2024. "Number 48369157536000 - Facts about the integer". https://numbermatics.com/n/48369157536000/
The information we have on file for 48369157536000 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 48369157536000, math, Factors of 48369157536000, curriculum, school, college, exams, university, Prime factorization of 48369157536000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, three hundred sixty-nine billion, one hundred fifty-seven million, five hundred thirty-six thousand.