51484671700000
51,484,671,700,000 is an even composite number composed of eight prime numbers multiplied together.
51484671700000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 51484671700000:
25 × 55 × 7 × 11 × 17 × 41 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 17 × 41 × 53 × 181)See below for interesting mathematical facts about the number 51484671700000 from the Numbermatics database.
Names of 51484671700000
- Cardinal: 51484671700000 can be written as Fifty-one trillion, four hundred eighty-four billion, six hundred seventy-one million, seven hundred thousand.
Scientific notation
- Scientific notation: 5.14846717 × 1013
Factors of 51484671700000
Divisors of 51484671700000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 41 44 50 53 55 56 68 70 77 80 82 85 88 100 106 110 112 119 125 136 140 154 160 164 170 175 176 181 187 200 205 212 220 224 238 250 265 272 275 280 287 308 328 340 350 352 362 371 374 385 400 410 424 425 440 451 476 500 530 544 550 560 574 583 595 616 625 656 680 697 700 724 742 748 770 800 820 848 850 875 880 901 902 905 935 952 1000 1025 1060 1100 1120 1148 1166 1190 1232 1250 1267 1309 1312 1325 1360 1375 1394 1400 1435 1448 1484 1496 1540 1640 1696 1700 1750 1760 1802 1804 1810 1855 1870 1904 1925 1991 2000 2050 2120 2125 2173 2200 2255 2296 2332 2380 2464 2500 2534 2618 2650 2720 2750 2788 2800 2870 2896 2915 2968 2975 2992 3077 3080 3125 3157 3280 3400 3485 3500 3604 3608 3620 3710 3740 3808 3850 3982 4000 4081 4100 4240 4250 4346 4375 4400 4505 4510 4525 4592 4664 4675 4760 4879 5000 5068 5125 5236 5300 5500 5576 5600 5740 5792 5830 5936 5950 5984 6154 6160 6250 6307 6314 6335 6545 6560 6625 6800 6875 6970 7000 7175 7208 7216 7240 7420 7421 7480 7667 7700 7964 8162 8200 8480 8500 8692 8750 8800 9010 9020 9050 9184 9275 9328 9350 9520 9593 9625 9758 9911 9955 10000 10136 10250 10472 10600 10625 10865 11000 11152 11275 11480 11660 11872 11900 12308 12320 12500 12614 12628 12670 13090 13250 13600 13750 13937 13940 14000 14350 14416 14432 14480 14575 14840 14842 14875 14960 15211 15334 15385 15400 15785 15928 16324 16400 17000 17384 17425 17500 18020 18040 18100 18550 18656 18700 19040 19186 19250 19516 19822 19910 20000 20272 20405 20500 20944 21200 21250 21539 21730 21875 22000 22304 22525 22550 22625 22960 23320 23375 23800 23903 24395 24616 25000 25228 25256 25340 25625 26180 26500 27500 27874 27880 28000 28700 28832 28960 29150 29680 29684 29750 29920 30422 30668 30770 30800 31535 31570 31675 31856 32648 32725 32800 33125 33847 34000 34375 34768 34850 35000 35875 36040 36080 36200 36941 37100 37105 37400 38335 38372 38500 39032 39644 39820 40544 40810 41000 41888 42400 42500 43078 43460 43750 44000 45050 45100 45250 45920 46375 46640 46750 47600 47806 47965 48125 48790 49232 49555 49775 50000 50456 50512 50680 51250 51947 52360 53000 53125 53669 54325 55000 55748 55760 56375 57400 58300 59360 59368 59500 60844 61336 61540 61600 63070 63140 63350 63712 65296 65450 66250 67151 67694 68000 68750 69377 69536 69685 69700 70000 71750 72080 72160 72400 72875 73882 74200 74210 74375 74800 76055 76670 76744 76925 77000 78064 78925 79288 79640 81620 81631 82000 85000 86156 86920 87125 87500 90100 90200 90500 92750 93280 93500 95200 95612 95930 96250 97580 98464 99110 99550 100000 100912 101024 101360 102025 102500 103894 104720 105523 106000 106250 107338 107695 108650 110000 111496 111520 112625 112750 113125 114800 116600 116875 118736 119000 119515 121688 121975 122672 123080 126140 126157 126280 126700 128125 130592 130900 132500 134302 135388 137500 138754 139370 139400 140000 143500 144160 144800 145750 147764 148400 148420 148750 149600 152110 153340 153488 153850 154000 156128 157675 157850 158375 158576 159280 163081 163240 163262 163625 164000 165625 167321 169235 170000 172312 173840 174250 175000 179375 180200 180400 181000 184705 185500 185525 187000 191224 191675 191860 192500 195160 198220 199100 201824 202720 204050 205000 207788 209440 211046 212000 212500 214676 215390 217300 220000 222992 225250 225500 226250 229600 231875 233200 233750 236929 237472 238000 239030 239825 240625 243376 243950 245344 246160 247775 248875 252280 252314 252560 253400 256250 258587 259735 261800 265000 268345 268604 270776 271625 275000 277508 278740 278800 281875 287000 291500 295528 296800 296840 297500 304220 306680 306976 307700 308000 315350 315700 316750 317152 318560 326162 326480 326524 327250 331250 334642 335755 338470 340000 344624 346885 347680 348425 348500 350000 358750 360400 360800 362000 364375 369410 371000 371050 371875 374000 380275 382448 383350 383720 384625 385000 390320 393313 394625 396440 398200 406351 408100 408155 410000 415576 422092 425000 429352 430780 434600 435625 445984 450500 451000 452500 463750 466400 467500 473858 476000 478060 479650 481250 486752 487900 492320 495550 497750 504560 504628 505120 506800 510125 512500 517174 519470 523600 527615 530000 536690 537208 538475 541552 543250 550000 555016 557480 557600 563125 563750 565625 571417 574000 583000 584375 591056 593680 595000 597575 608440 609875 613360 615400 630700 630785 631400 633500 652324 652960 653048 654500 662500 669284 671510 676940 689248 693770 696850 697000 700000 717500 720800 724000 728750 738661 738820 742000 742100 743750 748000 760550 764896 766700 767440 769250 770000 780640 786626 788375 789250 791875 792880 796400 812702 815405 816200 816310 818125 820000 831152 836605 844184 846175 850000 858704 861560 869200 871250 883099 896875 901000 902000 905000 923525 927500 927625 935000 947716 956120 958375 959300 962500 975800 991100 995500 1009120 1009256 1013600 1020250 1025000 1034348 1038940 1047200 1055230 1060000 1073380 1074416 1076950 1083104 1086500 1100000 1110032 1114960 1126250 1127500 1131250 1141567 1142834 1148000 1159375 1166000 1168750 1182112 1184645 1187360 1190000 1195150 1199125 1216880 1219750 1226720 1230800 1238875 1244375 1261400 1261570 1262800 1267000 1292935 1298675 1304648 1306096 1309000 1325000 1338568 1341725 1343020 1353880 1358125 1387540 1387727 1393700 1394000 1409375 1435000 1457500 1477322 1477640 1484000 1484200 1487500 1521100 1533400 1534880 1538500 1540000 1573252 1576750 1578500 1583750 1585760 1592800 1625404 1630810 1632400 1632620 1636250 1662304 1673210 1678775 1688368 1692350 1700000 1717408 1723120 1734425 1738400 1742125 1742500 1766198 1793750 1793891 1802000 1804000 1810000 1821875 1847050 1855000 1855250 1870000 1895432 1901375 1912240 1916750 1918600 1923125 1925000 1951600 1966565 1973125 1982200 1991000 2018512 2031755 2040500 2040775 2050000 2068696 2077880 2110460 2146760 2148832 2153900 2173000 2178125 2220064 2229920 2252500 2255000 2262500 2283134 2285668 2318750 2332000 2337500 2369290 2380000 2390300 2398250 2433760 2439500 2461600 2477750 2488750 2522800 2523140 2525600 2534000 2550625 2585870 2597350 2609296 2612192 2618000 2638075 2650000 2677136 2683450 2686040 2692375 2707760 2716250 2753191 2775080 2775454 2787400 2788000 2815625 2818750 2844457 2857085 2870000 2915000 2954644 2955280 2968400 2975000 2987875 3042200 3049375 3066800 3077000 3146504 3153500 3153925 3157000 3167500 3250808 3261620 3264800 3265240 3272500 3346420 3357550 3376736 3384700 3446240 3468850 3484250 3485000 3532396 3587500 3587782 3604000 3620000 3643750 3693305 3694100 3710000 3710500 3740000 3790864 3802750 3824480 3833500 3837200 3846250 3850000 3903200 3933130 3941875 3946250 3959375 3964400 3982000 4037024 4063510 4077025 4081000 4081550 4090625 4100000 4137392 4155760 4183025 4220920 4230875 4293520 4307800 4326443 4346000 4356250 4415495 4505000 4510000 4525000 4566268 4571336 4617625 4637500 4638125 4675000 4738580 4780600 4791875 4796500 4879000 4955500 4977500 5045600 5046280 5068000 5101250 5171740 5194700 5218592 5236000 5276150 5300000 5354272 5366900 5372080 5384750 5415520 5432500 5506382 5550160 5550908 5574800 5631250 5637500 5688914 5707835 5714170 5740000 5830000 5909288 5910560 5923225 5936800 5950000 5975750 5995625 6084400 6098750 6133600 6154000 6194375 6221875 6293008 6307000 6307850 6314000 6335000 6464675 6493375 6501616 6523240 6530480 6545000 6686321 6692840 6708625 6715100 6769400 6790625 6937700 6938635 6968500 6970000 7064792 7175000 7175564 7287500 7386610 7388200 7420000 7421000 7581728 7605500 7667000 7674400 7692500 7700000 7866260 7883750 7892500 7918750 7928800 7964000 8127020 8154050 8162000 8163100 8181250 8274784 8311520 8366050 8393875 8441840 8461750 8587040 8615600 8652886 8672125 8692000 8710625 8712500 8830990 8969455 9010000 9020000 9050000 9132536 9142672 9235250 9275000 9276250 9350000 9477160 9506875 9561200 9583750 9593000 9615625 9714089 9758000 9832825 9865625 9911000 9955000 10092560 10158775 10202500 10203875 10343480 10389400 10552300 10733800 10744160 10769500 10865000 11012764 11100320 11101816 11149600 11262500 11275000 11377828 11415670 11428340 11660000 11818576 11846450 11900000 11951500 11991250 12168800 12197500 12308000 12388750 12443750 12557237 12586016 12614000 12615700 12628000 12670000 12753125 12929350 12986750 13003232 13046480 13060960 13090000 13190375 13372642 13385680 13417250 13430200 13461875 13538800 13581250 13765955 13875400 13877270 13937000 13940000 14129584 14222285 14285425 14350000 14351128 14575000 14773220 14776400 14842000 14939375 15211000 15246875 15334000 15385000 15732520 15767500 15769625 15785000 15837500 16254040 16308100 16324000 16326200 16362500 16732100 16787750 16883680 16923500 17231200 17305772 17344250 17421250 17425000 17661980 17938910 18020000 18100000 18265072 18285344 18466525 18470500 18550000 18552500 18700000 18954320 19013750 19122400 19167500 19186000 19231250 19428178 19516000 19665650 19709375 19731250 19822000 19910000 20185120 20317550 20385125 20405000 20407750 20686960 20778800 20915125 21104600 21154375 21467600 21539000 21632215 21730000 22025528 22077475 22203632 22525000 22550000 22755656 22831340 22856680 23088125 23190625 23637152 23692900 23903000 23959375 23982500 24395000 24777500 24887500 25114474 25228000 25231400 25340000 25506250 25858700 25973500 26092960 26180000 26380750 26745284 26771360 26834500 26860400 26923750 27077600 27162500 27531910 27750800 27754540 27874000 28259168 28444570 28539175 28570850 28700000 28702256 29150000 29546440 29552800 29616125 29684000 29878750 29978125 30285101 30422000 30493750 30668000 30770000 30971875 31465040 31535000 31539250 31570000 31675000 32323375 32466875 32508080 32616200 32652400 32725000 33431605 33464200 33543125 33575500 33847000 34611544 34688500 34693175 34842500 34850000 35323960 35877820 36530144 36933050 36941000 37100000 37105000 37908640 38027500 38335000 38372000 38462500 38856356 39331300 39418750 39462500 39644000 39820000 40635100 40770250 40810000 40815500 41373920 41557600 41830250 41969375 42209200 42308750 42935200 43078000 43264430 43360625 43460000 43553125 44051056 44154950 44407264 44847275 45050000 45100000 45511312 45662680 45713360 46176250 46381250 46804247 47385800 47534375 47806000 47918750 47965000 48570445 48790000 49164125 49555000 49775000 50228948 50462800 50793875 51012500 51019375 51717400 51947000 52761500 53490568 53669000 53720800 53847500 54325000 55063820 55501600 55509080 55748000 56889140 57078350 57141700 57404512 58300000 59092880 59232250 59757500 59956250 60570202 60844000 60987500 61540000 61943750 62786185 62930080 63070000 63078500 63140000 63350000 64646750 64933750 65016160 65232400 65304800 65450000 65951875 66863210 66928400 67086250 67151000 67309375 67694000 68829775 69223088 69377000 69386350 69685000 69700000 70647920 71111425 71427125 71755640 73549531 73866100 73882000 74210000 74696875 76055000 76670000 76925000 77712712 78662600 78837500 78848125 78925000 81270200 81540500 81620000 81631000 83660500 83938750 84418400 84617500 86156000 86528860 86721250 87106250 88102112 88309900 89694550 90100000 91022624 91325360 91426720 92332625 92352500 92762500 93608494 94771600 95068750 95612000 95837500 95930000 97140890 97580000 98328250 99110000 99550000 100457896 100925600 101587750 101925625 102025000 102038750 103434800 103894000 104575625 105523000 105771875 106981136 107338000 107695000 108161075 108650000 110127640 110387375 111018160 113778280 114156700 114283400 115440625 118185760 118464500 119515000 119912500 121140404 121975000 123887500 125572370 126140000 126157000 126700000 129293500 129867500 130464800 130900000 131903750 133726420 133856800 134172500 134302000 134618750 135388000 137659550 138446176 138754000 138772700 139370000 141295840 142222850 142695875 142854250 143511280 147099062 147732200 147764000 148080625 148420000 149393750 151425505 152110000 153340000 153850000 155425424 157325200 157675000 157696250 157850000 161616875 162334375 162540400 163081000 163262000 167158025 167321000 167715625 167877500 169235000 173057720 173442500 173465875 174212500 176619800 179389100 182650720 184665250 184705000 185525000 187216988 189543200 190137500 191675000 191860000 194281780 196656500 198220000 199100000 200915792 203175500 203851250 204050000 204077500 206869600 207788000 209151250 209846875 211046000 211543750 213962272 214676000 215390000 216322150 216803125 217300000 220255280 220774750 222036320 224236375 227556560 228313400 228566800 230881250 234021235 236929000 239030000 239825000 242280808 242852225 243950000 245820625 247775000 251144740 252314000 253969375 255096875 258587000 259735000 263807500 267452840 268345000 268604000 269237500 275319100 277508000 277545400 278740000 284445700 285391750 285708500 287022560 294198124 295464400 296161250 298787500 302851010 304220000 307700000 310850848 313930925 314650400 315350000 315392500 315700000 323233750 324668750 325080800 326162000 326524000 329759375 334316050 334642000 335431250 335755000 338470000 344148875 346115440 346885000 346931750 348425000 353239600 355557125 357135625 358778200 367747655 369330500 369410000 371050000 374433976 380275000 383350000 388563560 393313000 394240625 401831584 406351000 407702500 408100000 408155000 418302500 419693750 422092000 423087500 430780000 432644300 433606250 440510560 441549500 448472750 455113120 456626800 457133600 461663125 461762500 468042470 473858000 478060000 479650000 484561616 485704450 487900000 491641250 495550000 502289480 504628000 507938750 509628125 510193750 514846717 517174000 519470000 522878125 527615000 534905680 536690000 538475000 540805375 550638200 551936875 555090800 568891400 570783500 571417000 588396248 590928800 592322500 597575000 605702020 627861850 630700000 630785000 646467500 649337500 652324000 659518750 668632100 669284000 670862500 671510000 676940000 688297750 692230880 693770000 693863500 696850000 706479200 711114250 713479375 714271250 717556400 735495310 738661000 738820000 740403125 742100000 748867952 757127525 760550000 766700000 777127120 786626000 788481250 808084375 812702000 815405000 816310000 835790125 836605000 839387500 846175000 865288600 867212500 867329375 883099000 896945500 913253600 923326250 923525000 936084940 947716000 959300000 969123232 971408900 983282500 991100000 1004578960 1015877500 1019256250 1020387500 1029693434 1034348000 1038940000 1045756250 1055230000 1069811360 1073380000 1076950000 1081610750 1101276400 1103873750 1110181600 1121181875 1137782800 1141567000 1142834000 1170106175 1176792496 1184645000 1195150000 1211404040 1214261125 1229103125 1255723700 1261570000 1269846875 1292935000 1298675000 1319037500 1337264200 1341725000 1343020000 1376595500 1387540000 1387727000 1393700000 1422228500 1426958750 1428542500 1435112800 1470990620 1477322000 1480806250 1497735904 1514255050 1521100000 1554254240 1569654625 1573252000 1576962500 1616168750 1625404000 1630810000 1632620000 1671580250 1673210000 1678775000 1692350000 1720744375 1730577200 1734425000 1734658750 1766198000 1777785625 1785678125 1793891000 1838738275 1846652500 1847050000 1872169880 1942817800 1966565000 2009157920 2031755000 2038512500 2040775000 2059386868 2091512500 2110460000 2153900000 2163221500 2202552800 2207747500 2242363750 2275565600 2283134000 2285668000 2308315625 2340212350 2353584992 2369290000 2390300000 2422808080 2428522250 2458206250 2511447400 2523140000 2539693750 2574233585 2585870000 2597350000 2638075000 2674528400 2683450000 2704026875 2753191000 2759684375 2775454000 2844457000 2853917500 2857085000 2941981240 2954644000 2961612500 3028510100 3139309250 3153925000 3232337500 3261620000 3343160500 3346420000 3357550000 3384700000 3441488750 3461154400 3468850000 3469317500 3532396000 3555571250 3567396875 3571356250 3587782000 3677476550 3693305000 3694100000 3744339760 3785637625 3885635600 3933130000 4063510000 4077025000 4081550000 4118773736 4178950625 4183025000 4326443000 4336646875 4415495000 4484727500 4566268000 4616631250 4680424700 4738580000 4845616160 4857044500 4916412500 5022894800 5079387500 5148467170 5171740000 5194700000 5276150000 5349056800 5366900000 5408053750 5506382000 5519368750 5550908000 5605909375 5688914000 5707835000 5714170000 5850530875 5883962480 5923225000 6057020200 6071305625 6278618500 6307850000 6464675000 6686321000 6715100000 6882977500 6937700000 6938635000 7111142500 7134793750 7142712500 7175564000 7354953100 7386610000 7488679520 7571275250 7771271200 7848273125 7866260000 8127020000 8154050000 8163100000 8237547472 8357901250 8366050000 8603721875 8652886000 8673293750 8830990000 8888928125 8969455000 9193691375 9233262500 9360849400 9714089000 9832825000 10045789600 10158775000 10296934340 10552300000 10816107500 11012764000 11038737500 11211818750 11377828000 11415670000 11428340000 11701061750 11767924960 11846450000 12114040400 12142611250 12557237000 12615700000 12871167925 12929350000 13372642000 13520134375 13765955000 13877270000 14222285000 14269587500 14285425000 14709906200 14773220000 15142550500 15696546250 16308100000 16475094944 16715802500 16732100000 17207443750 17305772000 17346587500 17661980000 17777856250 17938910000 18387382750 18466525000 18721698800 18928188125 19428178000 19665650000 20317550000 20593868680 20894753125 21632215000 22077475000 22423637500 22831340000 23402123500 23692900000 24228080800 24285222500 25114474000 25742335850 25858700000 26745284000 27040268750 27531910000 27754540000 28444570000 28539175000 28570850000 29252654375 29419812400 30285101000 30356528125 31393092500 33431605000 34414887500 34693175000 35555712500 35877820000 36774765500 36933050000 37443397600 37856376250 38856356000 39241365625 39331300000 40635100000 41187737360 41789506250 43264430000 44154950000 44847275000 45968456875 46804247000 48570445000 50228948000 51484671700 54080537500 55063820000 56889140000 57078350000 57141700000 58505308750 58839624800 60570202000 60713056250 62786185000 64355839625 66863210000 68829775000 69386350000 71111425000 73549531000 73866100000 75712752500 78482731250 82375474720 83579012500 86528860000 88309900000 89694550000 91936913750 93608494000 94640940625 97140890000 102969343400 108161075000 114156700000 117010617500 121140404000 121426112500 125572370000 128711679250 133726420000 137659550000 138772700000 142222850000 146263271875 147099062000 151425505000 156965462500 167158025000 179389100000 183873827500 187216988000 189281881250 194281780000 205938686800 216322150000 229842284375 234021235000 242852225000 251144740000 257423358500 275319100000 284445700000 292526543750 294198124000 302851010000 313930925000 321779198125 334316050000 367747655000 378563762500 411877373600 432644300000 459684568750 468042470000 485704450000 514846717000 585053087500 605702020000 627861850000 643558396250 668632100000 735495310000 757127525000 919369137500 936084940000 971408900000 1029693434000 1170106175000 1255723700000 1287116792500 1470990620000 1514255050000 1608895990625 1838738275000 2059386868000 2340212350000 2574233585000 3028510100000 3217791981250 3677476550000 4680424700000 5148467170000 6435583962500 7354953100000 10296934340000 12871167925000 25742335850000 51484671700000
- Sum of all divisors σ(n): 175521759888384
- Sum of proper divisors (its aliquot sum) s(n): 124037088188384
- 51484671700000 is an abundant number, because the sum of its proper divisors (124037088188384) is greater than itself. Its abundance is 72552416488384
Bases of 51484671700000
- Binary: 10111011010011001101011001000101101100001000002
- Hexadecimal: 0x2ED335916C20
- Base-36: I8ZQC8H0G
Squares and roots of 51484671700000
- 51484671700000 squared (514846717000002) is 2650671420056780890000000000
- 51484671700000 cubed (514846717000003) is 136468947846196159480483813000000000000000
-
The
square root of 51484671700000 is 7175281.9944584757 -
The
cube root of 51484671700000 is 37201.4027345177
Scales and comparisons
How big is 51484671700000?- 51,484,671,700,000 seconds is equal to 1,637,053 years, 15 weeks, 6 days, 22 hours, 26 minutes, 40 seconds.
-
To count from 1 to 51,484,671,700,000 would take you about four million, ninety-two thousand, six hundred thirty-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 51484671700000 cubic inches would be around 3100.1 feet tall.
Recreational maths with 51484671700000
- 51484671700000 backwards is 00000717648415
- The number of decimal digits it has is: 14
- The sum of 51484671700000's digits is 43
- 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 51484671700000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 51484671700000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/51484671700000/
Chicago style:
Numbermatics. 2024. "Number 51484671700000 - Facts about the integer". https://numbermatics.com/n/51484671700000/
The information we have on file for 51484671700000 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 51484671700000, math, Factors of 51484671700000, curriculum, school, college, exams, university, Prime factorization of 51484671700000, STEM, science, technology, engineering, physics, economics, calculator, fifty-one trillion, four hundred eighty-four billion, six hundred seventy-one million, seven hundred thousand.