36612889572000
36,612,889,572,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 36612889572000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
36612889572000 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 36612889572000:
25 × 3 × 53 × 72 × 19 × 23 × 37 × 3851
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 23 × 37 × 3851)See below for interesting mathematical facts about the number 36612889572000 from the Numbermatics database.
Names of 36612889572000
- Cardinal: 36612889572000 can be written as Thirty-six trillion, six hundred twelve billion, eight hundred eighty-nine million, five hundred seventy-two thousand.
Scientific notation
- Scientific notation: 3.6612889572 × 1013
Factors of 36612889572000
Divisors of 36612889572000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 25 28 30 32 35 37 38 40 42 46 48 49 50 56 57 60 69 70 74 75 76 80 84 92 95 96 98 100 105 111 112 114 115 120 125 133 138 140 147 148 150 152 160 161 168 175 184 185 190 196 200 210 222 224 228 230 240 245 250 259 266 276 280 285 294 296 300 304 322 336 345 350 368 370 375 380 392 399 400 420 437 444 456 460 475 480 483 490 500 518 525 532 552 555 560 570 575 588 592 600 608 644 665 672 690 700 703 735 736 740 750 760 777 784 798 800 805 840 851 874 875 888 912 920 925 931 950 966 980 1000 1036 1050 1064 1104 1110 1120 1127 1140 1150 1176 1184 1200 1225 1288 1295 1311 1330 1380 1400 1406 1425 1470 1480 1500 1520 1554 1568 1596 1610 1680 1702 1725 1748 1750 1776 1813 1824 1840 1850 1862 1900 1932 1960 1995 2000 2072 2100 2109 2128 2185 2208 2220 2254 2280 2300 2352 2375 2400 2415 2450 2553 2576 2590 2622 2625 2660 2760 2775 2793 2800 2812 2850 2875 2940 2960 3000 3040 3059 3108 3192 3220 3325 3360 3381 3404 3450 3496 3500 3515 3552 3626 3675 3680 3700 3724 3800 3851 3864 3885 3920 3990 4000 4025 4144 4200 4218 4255 4256 4370 4440 4508 4560 4600 4625 4655 4704 4750 4830 4900 4921 5106 5152 5180 5244 5250 5320 5439 5520 5550 5586 5600 5624 5635 5700 5750 5880 5920 5957 6000 6118 6125 6216 6384 6440 6475 6555 6650 6762 6808 6900 6992 7000 7030 7125 7252 7350 7400 7448 7600 7702 7728 7770 7840 7980 8050 8288 8400 8436 8510 8625 8740 8880 9016 9065 9120 9177 9200 9250 9310 9500 9660 9800 9842 9975 10212 10360 10488 10500 10545 10640 10878 10925 11040 11100 11172 11248 11270 11400 11500 11553 11760 11914 12000 12075 12236 12250 12432 12765 12768 12880 12950 13110 13300 13524 13616 13800 13875 13965 13984 14000 14060 14250 14504 14700 14763 14800 14896 15200 15295 15404 15456 15540 15960 16100 16169 16625 16800 16872 16905 17020 17250 17480 17575 17760 17871 18032 18130 18354 18375 18400 18500 18620 19000 19255 19320 19425 19600 19684 19950 20125 20424 20720 20976 21000 21090 21275 21280 21413 21756 21850 22200 22344 22496 22540 22800 23000 23106 23275 23520 23828 24150 24472 24500 24605 24864 25530 25760 25900 26220 26600 26957 27048 27195 27232 27600 27750 27930 28000 28120 28175 28500 29008 29400 29526 29600 29785 29792 30590 30808 31080 31920 32200 32338 32375 32775 33250 33744 33810 34040 34447 34500 34960 35150 35742 36064 36260 36708 36750 37000 37240 38000 38510 38640 38850 39200 39368 39900 40250 40848 41440 41699 41952 42000 42180 42550 42826 43512 43700 44400 44688 45080 45325 45600 45885 46000 46212 46550 47656 48300 48507 48944 49000 49210 49875 51060 51800 52440 52725 53200 53914 54096 54390 54625 55200 55500 55860 56240 56350 57000 57765 58016 58800 59052 59570 60375 61180 61616 62160 63825 63840 64239 64400 64676 64750 65550 66500 67488 67620 68080 68894 69000 69825 69920 70300 71484 72520 73169 73416 73500 73815 74000 74480 76000 76475 77020 77280 77700 78736 79800 80500 80845 80871 81696 83398 84000 84360 84525 85100 85652 87024 87400 87875 88573 88800 89355 89376 90160 90650 91770 92000 92424 93100 95312 96275 96600 97014 97125 97888 98000 98420 99750 102120 103341 103600 104880 105450 106375 106400 107065 107828 108192 108780 109250 111000 111720 112480 112700 113183 114000 115530 116375 117600 118104 119140 120750 122360 123025 123232 124320 125097 127650 128478 128800 129352 129500 131100 133000 134785 135240 135975 136160 137788 138000 139650 140600 140875 142487 142968 145040 146338 146832 147000 147630 148000 148925 148960 152950 154040 155400 157472 159600 161000 161690 161742 163875 166796 168720 169050 170200 171304 172235 174048 174800 175750 177146 178710 180320 181300 183540 184848 186200 188699 190624 192550 193200 194028 194250 196000 196840 199500 204240 206682 207200 208495 209760 210900 212750 214130 215656 217560 218500 219507 222000 223440 225400 226366 226625 228000 229425 231060 232750 236208 238280 241500 242535 244720 246050 250194 255300 256956 258704 259000 262200 263625 265719 266000 269570 270480 271950 275576 276000 279300 281200 281750 284974 285936 288825 290080 292676 293664 294000 295260 297850 305900 308080 310800 319125 319200 321195 322000 323380 323484 327750 333592 337440 338100 339549 340400 342608 344470 349125 349600 351500 354292 357420 362600 365845 367080 369075 369696 372400 377398 382375 385100 386400 388056 388500 393680 399000 404225 404355 408480 413364 416990 421800 422625 425500 427461 428260 431312 435120 437000 439014 442865 444000 446775 446880 450800 452732 453250 458850 462120 465500 472416 476560 481375 483000 485070 489440 492100 500388 510600 512183 513912 516705 517408 518000 524400 527250 531438 532000 535325 539140 540960 543900 551152 558600 562400 563500 565915 566097 569948 571872 577650 585352 588000 590520 595700 611800 615125 616160 620011 621600 625485 638250 642390 644000 646760 646968 655500 667184 673925 676200 679098 679875 680800 685216 688940 698250 703000 708584 712435 714840 725200 731690 734160 738150 744625 744800 754796 764750 770200 776112 777000 787360 792281 798000 808450 808710 826728 833980 843600 845250 851000 854922 856520 861175 862624 870240 874000 878028 885730 893550 901600 905464 906500 917700 924240 931000 943495 953120 962750 966000 970140 984200 997409 1000776 1021200 1024366 1027824 1033410 1036000 1042475 1048800 1054500 1062876 1070650 1078280 1087800 1097535 1102304 1117200 1127000 1131830 1132194 1139896 1147125 1155300 1170704 1181040 1191400 1212675 1223600 1230250 1240022 1250970 1276500 1284780 1293520 1293936 1311000 1328595 1334368 1347850 1352400 1358196 1359750 1377880 1396500 1406000 1417168 1424870 1429680 1444125 1450400 1463380 1468320 1476300 1489250 1509592 1529500 1536549 1540400 1552224 1554000 1584562 1596000 1605975 1616900 1617420 1653456 1667960 1682887 1687200 1690500 1697745 1702000 1709844 1713040 1722350 1748000 1756056 1771460 1787100 1810928 1813000 1829225 1835400 1845375 1848480 1860033 1862000 1886990 1925500 1932000 1940280 1968400 1994818 2001552 2021125 2021775 2042400 2048732 2055648 2066820 2084950 2109000 2125752 2137305 2141300 2156560 2175600 2195070 2214325 2233875 2234400 2254000 2263660 2264388 2279792 2294250 2310600 2341408 2362080 2376843 2382800 2425350 2447200 2460500 2480044 2501940 2553000 2560915 2569560 2583525 2587040 2587872 2622000 2657190 2676625 2695700 2704800 2707253 2716392 2719500 2755760 2793000 2812000 2829575 2830485 2834336 2849740 2859360 2888250 2926760 2952600 2978500 2992227 3019184 3059000 3073098 3080800 3100055 3108000 3127425 3169124 3211950 3233800 3234840 3277201 3306912 3335920 3365774 3369625 3381000 3395490 3404000 3419688 3426080 3444700 3512112 3542920 3562175 3574200 3585281 3621856 3626000 3658450 3670800 3690750 3720066 3724000 3773980 3851000 3880560 3936800 3961405 3989636 4003104 4042250 4043550 4097464 4133640 4169900 4218000 4251504 4274610 4282600 4305875 4313120 4340077 4351200 4390140 4428650 4467750 4508000 4527320 4528776 4559584 4588500 4621200 4717475 4753686 4765600 4850700 4921000 4960088 4987045 5003880 5048661 5106000 5121830 5139120 5167050 5212375 5244000 5314380 5353250 5391400 5414506 5432784 5439000 5487675 5511520 5586000 5659150 5660970 5699480 5776500 5853520 5905200 5957000 5984454 6038368 6063375 6118000 6146196 6200110 6254850 6338248 6423900 6467600 6469680 6554402 6642975 6671840 6731548 6739250 6762000 6790980 6839376 6889400 6981863 7024224 7085840 7124350 7148400 7170562 7252000 7316900 7341600 7381500 7440132 7547960 7682745 7702000 7761120 7922810 7979272 8029875 8084500 8087100 8121759 8194928 8267280 8339800 8414435 8436000 8488725 8503008 8549220 8565200 8611750 8680154 8780280 8857300 8935500 9054640 9057552 9146125 9177000 9242400 9300165 9434950 9507372 9701400 9831603 9842000 9920176 9974090 10007760 10097322 10108875 10212000 10243660 10278240 10334100 10424750 10628760 10686525 10706500 10755843 10782800 10829012 10865568 10878000 10975350 11071625 11172000 11318300 11321940 11398960 11553000 11707040 11780209 11810400 11884215 11914000 11968908 12126750 12236000 12292392 12400220 12509700 12676496 12804575 12847800 12917625 12935200 12939360 13020231 13108804 13285950 13463096 13478500 13524000 13536265 13581960 13678752 13778800 13963726 14147875 14152425 14171680 14248700 14296800 14341124 14633800 14763000 14880264 14961135 15095920 15365490 15404000 15500275 15637125 15845620 15958544 16059750 16169000 16174200 16243518 16386005 16389856 16534560 16679600 16828870 16977450 17098440 17130400 17223500 17360308 17560560 17714600 17810875 17871000 17926405 18109280 18115104 18292250 18354000 18600330 18869900 18950771 19014744 19402800 19663206 19684000 19807025 19840352 19948180 20015520 20194644 20217750 20487320 20668200 20849500 20945589 21257520 21373050 21413000 21511686 21565600 21658024 21700385 21756000 21950700 22143250 22636600 22643880 22797920 22940407 23106000 23560418 23587375 23768430 23828000 23937816 24253500 24584784 24800440 24935225 25019400 25243305 25352992 25609150 25695600 25835250 26040462 26217608 26571900 26926192 26957000 27072530 27163920 27438375 27557600 27927452 28295750 28304850 28497400 28682248 29267600 29526000 29760528 29922270 30191840 30730980 31000550 31274250 31691240 31917088 32119500 32338000 32348400 32487036 32772010 33214875 33359200 33657740 33954900 34196880 34447000 34720616 34909315 35121120 35340627 35429200 35621750 35742000 35852810 36584500 36708000 37200660 37739800 37901542 38029488 38413725 38805600 39326412 39614050 39896360 40389288 40435500 40608795 40974640 41336400 41699000 41891178 42072175 42443625 42515040 42746100 42826000 43023372 43316048 43400770 43901400 44286500 45273200 45287760 45880814 46212000 46500825 47120836 47174750 47536860 47875632 48507000 49158015 49169568 49600880 49870450 50038800 50486610 51218300 51391200 51670500 52080924 52435216 53143800 53432625 53779215 53852384 53914000 54145060 54327840 54876750 55854904 56591500 56609700 56852313 56994800 57364496 58535200 58901045 59052000 59421075 59521056 59844540 61461960 62001100 62266819 62548500 63382480 64022875 64239000 64676000 64696800 64974072 65101155 65544020 66429750 67315480 67681325 67909800 68393760 68821221 68894000 69441232 69818630 70681254 70762125 70858400 71243500 71484000 71705620 73169000 74401320 74805675 75479600 75803084 76058976 76827450 77501375 78652824 79228100 79792720 80778576 80871000 81217590 81930025 81949280 82461463 82672800 83398000 83782356 84144350 84887250 85492200 85652000 86046744 86632096 86801540 87802800 88573000 89632025 90546400 90575520 91761628 93001650 94241672 94349500 94753855 95073720 95751264 97014000 98316030 99035125 99201760 99740900 100077600 100973220 102436600 103341000 104161848 104727945 104870432 106287600 106865250 107558430 107828000 108290120 108501925 109753500 111709808 113183000 113219400 113704626 113989600 114702035 114728992 117802090 118842150 119689080 122923920 124002200 124533638 124676125 125097000 126216525 126764960 128045750 128478000 129948144 130202310 131088040 132655397 132859500 134630960 135362650 135819600 137642442 137788000 138882464 139637260 141362508 141524250 142487000 143411240 146338000 148802640 149611350 150959200 151606168 153654900 155002750 157305648 158456200 159585440 160582849 161557152 161742000 162435180 163860050 164922926 166796000 167564712 168288700 169774500 170984400 172093488 173603080 174546575 175605600 176703135 177146000 179264050 183523256 186003300 186800457 188483344 188699000 189507710 190147440 192068625 194028000 196632060 198070250 199481800 201946440 203043975 204873200 206682000 208323696 209455890 210360875 212575200 213730500 215116860 216580240 217003850 219507000 223419616 226366000 226438800 227409252 229404070 232504125 235604180 237684300 239378160 245790075 245847840 247384389 248004400 249067276 249352250 250194000 252433050 256091500 256956000 259896288 260404620 262176080 265310794 265719000 268896075 269261920 270725300 271639200 275284884 279274520 282725016 283048500 284261565 284974000 286822480 292676000 294505225 297105375 297605280 299222700 303212336 307309800 310005500 311334095 314611296 316912400 321165698 323484000 324870360 325505775 327720100 329845852 335129424 336577400 338406625 339549000 341968800 344106105 344186976 347206160 349093150 353406270 354292000 358528100 367046512 372006600 373600914 374028375 376966688 377398000 379015420 380294880 384137250 393264120 396140500 397966191 398963600 403892880 406087950 409650125 409746400 412307315 413364000 416647392 418911780 420721750 427461000 430233720 433160480 434007700 435867733 439014000 448160125 452732000 452877600 454818504 458808140 465008250 471208360 473769275 475368600 478756320 481748547 491580150 494768778 496008800 498134552 498704500 500388000 504866100 512183000 520809240 523639725 524352160 530621588 531438000 537792150 541450600 542509625 550569768 558549040 565450032 566097000 568523130 569948000 573510175 573644960 589010450 594210750 598445400 606424672 614619600 620011000 622668190 631082625 633824800 642331396 649740720 651011550 655440200 659691704 663276985 670258848 673154800 676813250 679098000 688212210 694412320 698186300 706812540 717056200 734093024 744013200 747201828 748056750 754796000 758030840 768274500 786528240 792281000 795932382 797927200 802914245 807785760 812175900 819300250 824614630 837823560 841443500 854922000 860467440 868015400 871735466 872732875 878028000 883515675 896320250 909637008 917616280 930016500 934002285 942416720 947538550 950737200 963497094 983160300 989537556 996269104 997409000 1009732200 1015219875 1024366000 1041618480 1047279450 1061243176 1062876000 1075584300 1082901200 1085019250 1101139536 1117098080 1130900064 1132194000 1137046260 1147020350 1178020900 1188421500 1196890800 1228950375 1229239200 1236921945 1240022000 1245336380 1262165250 1284662792 1299481440 1302023100 1307603199 1310880400 1319383408 1326553970 1344480375 1346309600 1353626500 1358196000 1376424420 1396372600 1413625080 1421307825 1434112400 1472526125 1488026400 1494403656 1496113500 1516061680 1536549000 1556670475 1573056480 1584562000 1591864764 1605828490 1624351800 1627528875 1638600500 1649229260 1675647120 1682887000 1709844000 1720530525 1720934880 1736030800 1743470932 1745465750 1767031350 1792640500 1819274016 1835232560 1860033000 1868004570 1884833440 1895077100 1901474400 1926994188 1966320600 1979075112 1989830955 1992538208 1994818000 2019464400 2030439750 2048732000 2061536575 2083236960 2094558900 2122486352 2151168600 2165802400 2170038500 2179338665 2202279072 2264388000 2274092520 2294040700 2356041800 2368846375 2376843000 2393781600 2408742735 2457900750 2473843890 2480044000 2490672760 2524330500 2569325584 2604046200 2615206398 2618198625 2621760800 2638766816 2653107940 2688960750 2707253000 2752848840 2792745200 2827250160 2842615650 2867550875 2868224800 2945052250 2988807312 2992227000 3032123360 3051074131 3073098000 3113340950 3169124000 3183729528 3211656980 3248703600 3255057750 3277201000 3298458520 3316384925 3351294240 3365774000 3441061050 3472061600 3486941864 3490931500 3534062700 3585281000 3670465120 3720066000 3736009140 3790154200 3853988376 3932641200 3958150224 3979661910 3989636000 4014571225 4038928800 4060879500 4123073150 4189117800 4244972704 4302337200 4340077000 4358677330 4417578375 4548185040 4588081400 4670011425 4712083600 4737692750 4753686000 4817485470 4915801500 4947687780 4981345520 5048661000 5138651168 5208092400 5230412796 5236397250 5306215880 5377921500 5414506000 5505697680 5585490400 5654500320 5685231300 5735101750 5890104500 5977614624 5984454000 6102148262 6146196000 6184609725 6226681900 6367459056 6423313960 6497407200 6510115500 6538015995 6554402000 6596917040 6632769850 6731548000 6882122100 6973883728 6981863000 7068125400 7106539125 7170562000 7440132000 7472018280 7580308400 7707976752 7783352375 7865282400 7916300448 7959323820 8029142450 8121759000 8246146300 8378235600 8602652625 8604674400 8680154000 8717354660 8835156750 9096370080 9153222393 9176162800 9340022850 9424167200 9475385500 9507372000 9634970940 9831603000 9895375560 9949154775 9962691040 10097322000 10307682875 10416184800 10460825592 10472794500 10612431760 10755843000 10829012000 10896693325 11011395360 11370462600 11470203500 11780209000 11968908000 12043713675 12204296524 12369219450 12453363800 12734918112 12846627920 13020231000 13076031990 13108804000 13193834080 13265539700 13764244200 13947767456 13963726000 14136250800 14213078250 14341124000 14944036560 15160616800 15255370655 15415953504 15566704750 15918647640 16058284900 16243518000 16492292600 16581924625 16756471200 17205305250 17360308000 17434709320 17670313500 18306444786 18352325600 18680045700 18950771000 19269941880 19663206000 19790751120 19898309550 20072856125 20194644000 20615365750 20921651184 20945589000 21224863520 21511686000 21793386650 22740925200 22940407000 23350057125 23560418000 24087427350 24408593048 24738438900 24906727600 25693255840 26040462000 26152063980 26531079400 27528488400 27927452000 28272501600 28426156500 29888073120 30510741310 30923048625 31133409500 31837295280 32116569800 32487036000 32690079975 32984585200 33163849250 34410610500 34869418640 35340627000 36612889572 37360091400 37901542000 38539883760 39326412000 39581502240 39796619100 40145712250 41230731500 41843302368 41891178000 43023372000 43586773300 45481850400 45766111965 45880814000 46700114250 47120836000 48174854700 48817186096 49476877800 49745773875 49813455200 52080924000 52304127960 53062158800 54483466625 55056976800 56852313000 60218568375 61021482620 61846097250 62266819000 63674590560 64233139600 65380159950 65969170400 66327698500 68821221000 69738837280 70681254000 73225779144 74720182800 75803084000 76276853275 77079767520 79593238200 80291424500 82461463000 83782356000 87173546600 91532223930 91761628000 93400228500 96349709400 97634372192 98953755600 99491547750 104608255920 106124317600 108966933250 113704626000 120437136750 122042965240 123692194500 124533638000 128466279200 130760319900 132655397000 137642442000 141362508000 146451558288 149440365600 152553706550 159186476400 160582849000 163450399875 164922926000 174347093200 183064447860 186800457000 192699418800 197907511200 198983095500 209216511840 217933866500 227409252000 228830559825 240874273500 244085930480 247384389000 249067276000 261520639800 265310794000 275284884000 292903116576 305107413100 318372952800 321165698000 326900799750 329845852000 348694186400 366128895720 373600914000 381384266375 385398837600 397966191000 435867733000 457661119650 481748547000 488171860960 494768778000 523041279600 530621588000 610214826200 642331396000 653801599500 732257791440 747201828000 762768532750 795932382000 871735466000 915322239300 963497094000 989537556000 1046082559200 1144152799125 1220429652400 1307603199000 1464515582880 1525537065500 1591864764000 1743470932000 1830644478600 1926994188000 2288305598250 2440859304800 2615206398000 3051074131000 3661288957200 4576611196500 5230412796000 6102148262000 7322577914400 9153222393000 12204296524000 18306444786000 36612889572000
- Sum of all divisors σ(n): 157438559416320
- Sum of proper divisors (its aliquot sum) s(n): 120825669844320
- 36612889572000 is an abundant number, because the sum of its proper divisors (120825669844320) is greater than itself. Its abundance is 84212780272320
Bases of 36612889572000
- Binary: 10000101001100100110100100011011110010101000002
- Hexadecimal: 0x214C9A46F2A0
- Base-36: CZ7Q94U5C
Squares and roots of 36612889572000
- 36612889572000 squared (366128895720002) is 1340503682811466343184000000
- 36612889572000 cubed (366128895720003) is 49079713309635531718390446877248000000000
-
The
square root of 36612889572000 is 6050858.5813915697 -
The
cube root of 36612889572000 is 33205.6002467985
Scales and comparisons
How big is 36612889572000?- 36,612,889,572,000 seconds is equal to 1,164,176 years, 33 weeks, 23 hours, 20 minutes.
-
To count from 1 to 36,612,889,572,000 would take you about two million, nine hundred ten thousand, four hundred forty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 36612889572000 cubic inches would be around 2767.1 feet tall.
Recreational maths with 36612889572000
- 36612889572000 backwards is 00027598821663
- 36612889572000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 36612889572000'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 36612889572000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 36612889572000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/36612889572000/
Chicago style:
Numbermatics. 2024. "Number 36612889572000 - Facts about the integer". https://numbermatics.com/n/36612889572000/
The information we have on file for 36612889572000 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 36612889572000, math, Factors of 36612889572000, curriculum, school, college, exams, university, Prime factorization of 36612889572000, STEM, science, technology, engineering, physics, economics, calculator, thirty-six trillion, six hundred twelve billion, eight hundred eighty-nine million, five hundred seventy-two thousand.