1110044414726000
1,110,044,414,726,000 is an even composite number composed of seven prime numbers multiplied together.
1110044414726000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 1110044414726000:
24 × 53 × 13 × 172 × 31 × 372 × 592
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 31 × 37 × 37 × 59 × 59)See below for interesting mathematical facts about the number 1110044414726000 from the Numbermatics database.
Names of 1110044414726000
- Cardinal: 1110044414726000 can be written as One quadrillion, one hundred ten trillion, forty-four billion, four hundred fourteen million, seven hundred twenty-six thousand.
Scientific notation
- Scientific notation: 1.110044414726 × 1015
Factors of 1110044414726000
Divisors of 1110044414726000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 34 37 40 50 52 59 62 65 68 74 80 85 100 104 118 124 125 130 136 148 155 170 185 200 208 221 236 248 250 260 272 289 295 296 310 325 340 370 400 403 425 442 472 481 496 500 520 527 578 590 592 620 629 650 680 740 767 775 806 850 884 925 944 962 1000 1003 1040 1054 1105 1147 1156 1180 1240 1258 1300 1360 1369 1445 1475 1480 1534 1550 1612 1625 1700 1768 1829 1850 1924 2000 2006 2015 2108 2125 2183 2210 2294 2312 2360 2405 2480 2516 2600 2635 2738 2890 2950 2960 3068 3100 3145 3224 3250 3400 3481 3536 3658 3700 3757 3835 3848 3875 4012 4030 4216 4250 4366 4420 4588 4624 4625 4720 4810 5015 5032 5200 5270 5476 5525 5735 5780 5900 6136 6200 6290 6448 6500 6800 6845 6851 6962 7225 7316 7375 7400 7514 7670 7696 7750 8024 8060 8177 8432 8500 8732 8840 8959 9145 9176 9250 9620 10030 10064 10075 10540 10693 10915 10952 11050 11470 11560 11800 12025 12272 12400 12580 13000 13039 13175 13690 13702 13924 14450 14632 14750 14800 14911 15028 15340 15500 15725 16048 16120 16354 17000 17051 17405 17464 17680 17797 17918 18290 18352 18500 18785 19175 19240 19499 20060 20150 21080 21386 21830 21904 22100 22940 23120 23273 23600 23777 24050 25075 25160 26000 26078 26350 27380 27404 27625 27848 28379 28675 28900 29264 29500 29822 30056 30680 31000 31093 31450 32240 32708 34000 34102 34225 34255 34810 34928 35594 35836 36125 36580 37000 37111 37570 38350 38480 38998 40120 40300 40885 42160 42439 42772 43660 44200 44795 45253 45725 45880 46546 47554 48100 50150 50320 50375 52156 52700 53465 54575 54760 54808 55250 55696 56758 57350 57800 59000 59177 59644 60112 60125 61360 62000 62186 62900 65195 65416 65875 67673 68204 68450 68510 69620 71188 71672 72250 73160 74000 74222 74555 75140 76700 77996 78625 80240 80600 80771 81770 84878 85255 85544 87025 87320 88400 88985 89590 90506 91450 91760 93092 93925 95108 95875 96200 97495 100300 100750 104312 105400 106930 107911 109150 109520 109616 110500 113516 114700 115600 116365 116467 118000 118354 118885 119288 120250 124372 125375 125800 128797 130390 130832 131750 135346 136408 136900 137020 139009 139240 141895 142376 143344 143375 144500 146320 148444 149110 150280 153400 155465 155992 157250 161200 161542 163540 169756 170510 171088 171125 171275 174050 174640 177970 179180 181012 182900 185555 186184 187850 190216 191750 192400 194990 200600 201500 204425 208624 210800 212195 213860 215822 218300 221000 221663 223975 226265 227032 228625 229400 232730 232934 236708 237770 238576 240500 248744 250750 251600 253487 257594 260780 263500 267325 270692 272816 272875 273800 274040 278018 278480 283790 284752 286750 289000 295885 296888 298220 300560 302549 306800 310930 311984 314500 323084 325975 327080 331483 338365 339512 341020 342250 342550 348100 355940 358360 362024 365800 371110 372368 372775 375700 380432 383500 389980 395641 401200 403000 403855 404209 408850 424390 426275 427720 431644 435125 436600 442000 443326 444925 447950 452530 454064 457250 458800 465460 465868 469625 473416 475540 481000 482443 487475 497488 501500 506974 515188 521560 527000 528581 534650 539555 541384 545750 547600 548080 551707 556036 567580 573500 578000 581825 582335 591770 593776 594425 596440 605098 621860 629000 630887 643985 646168 651950 654160 662966 676730 679024 682040 684500 685100 695045 696200 709475 711880 716720 721463 724048 731600 742220 745550 751400 767000 769301 777325 779960 791282 806000 807710 808418 817700 848780 852550 855440 856375 863288 870250 873200 879749 886652 889850 895900 905060 914500 927775 930920 931736 939250 946832 951080 962000 964886 974950 1003000 1006009 1013948 1022125 1030376 1043120 1050023 1054000 1057162 1060975 1069300 1079110 1082768 1091500 1103414 1108315 1112072 1119875 1131325 1135160 1147000 1150441 1163650 1164670 1183540 1188850 1192880 1210196 1243720 1258000 1261774 1267435 1287970 1292336 1303900 1325932 1336625 1353460 1364080 1369000 1370200 1373107 1390090 1392400 1402843 1418950 1423760 1442926 1479425 1484440 1491100 1502800 1512745 1534000 1538602 1554650 1559920 1582564 1615420 1616836 1629875 1635400 1657415 1674361 1691825 1697560 1705100 1712750 1726576 1740500 1759498 1773304 1779700 1791800 1810120 1829000 1834487 1855550 1861840 1863472 1863875 1878500 1902160 1929772 1949900 1978205 2006000 2012018 2019275 2021045 2027896 2044250 2060752 2100046 2114324 2121950 2131375 2138600 2158220 2183000 2189549 2206828 2216630 2224144 2224625 2239750 2262650 2270320 2294000 2300882 2327300 2329340 2367080 2377700 2412215 2420392 2437375 2487440 2503901 2523548 2534870 2575940 2607800 2642905 2651864 2673250 2697775 2706920 2738000 2740400 2746214 2758535 2780180 2805686 2837900 2885852 2909125 2911675 2958850 2968880 2972125 2982200 3025490 3077204 3109300 3154435 3165128 3219925 3230840 3233672 3259750 3270800 3314830 3348722 3383650 3395120 3410200 3425500 3475225 3481000 3518996 3546608 3547375 3559400 3583600 3607315 3620240 3658000 3668974 3711100 3727750 3757000 3846505 3859544 3886625 3899800 3956410 3992707 4024036 4038550 4042090 4055792 4088500 4200092 4228648 4243900 4262750 4277200 4309279 4316440 4366000 4379098 4398745 4413656 4433260 4449250 4479500 4525300 4601764 4638875 4654600 4658680 4734160 4755400 4765489 4824430 4840784 4874750 5007802 5030045 5047096 5069740 5143333 5151880 5215600 5250115 5285810 5303728 5304875 5346500 5395550 5413840 5492428 5517070 5541575 5560360 5611372 5656625 5675800 5752205 5771704 5818250 5823350 5917700 5944250 5964400 6050980 6154408 6218600 6308870 6330256 6337175 6439850 6461680 6467344 6519500 6629660 6697444 6767300 6820400 6851000 6865535 6871553 6950450 6962000 7014215 7037992 7094750 7118800 7214630 7337948 7397125 7422200 7455500 7514000 7563725 7693010 7719088 7773250 7799600 7912820 7985414 8048072 8077100 8084180 8177000 8201531 8287075 8371805 8400184 8457296 8459125 8487800 8525500 8618558 8632880 8758196 8797490 8827312 8866520 8898500 8959000 9050600 9172435 9203528 9277750 9309200 9317360 9379019 9510800 9530978 9648860 9749500 9891025 10015604 10060090 10094192 10096375 10105225 10139480 10286666 10303760 10500230 10571620 10609750 10693000 10791100 10947745 10984856 11034140 11083150 11120720 11222744 11313250 11351600 11504410 11543408 11636500 11646700 11835400 11888500 12061075 12101960 12264871 12308816 12437200 12519505 12617740 12674350 12879700 13039000 13078117 13214525 13259320 13394888 13488875 13534600 13702000 13731070 13743106 13792675 13900900 14028430 14075984 14189500 14429260 14558375 14675896 14794250 14844400 14911000 14955733 15127450 15386020 15546500 15772175 15825640 15970828 16096144 16099625 16154200 16168360 16354000 16403062 16574150 16743610 16800368 16918250 16975600 17051000 17237116 17376125 17516392 17594980 17733040 17797000 17850391 17918000 18036575 18101200 18344870 18407056 18555500 18758038 19061956 19232525 19297720 19499000 19557497 19782050 19963535 20031208 20120180 20192750 20210450 20278960 20573332 21000460 21143240 21219500 21386000 21546395 21582200 21895490 21969712 21993725 22068280 22166300 22445488 22626500 23008820 23273000 23293400 23342819 23670800 23777000 23827445 23848331 24122150 24203920 24529742 25039010 25150225 25235480 25348700 25716665 25759400 26078000 26156234 26250575 26429050 26518640 26789776 26977750 27069200 27462140 27486212 27585350 27707875 27801800 28056860 28379000 28464137 28761025 28858520 29116750 29351792 29588500 29822000 29911466 30254900 30772040 31093000 31186279 31544350 31651280 31685875 31941656 32199250 32308400 32336720 32550713 32806124 33148300 33487220 33836500 34102000 34327675 34357765 34474232 34752250 35032784 35071075 35189960 35594000 35700782 36073150 36689740 37111000 37222333 37516076 37818625 38123912 38465050 38595440 38998000 39114994 39564100 39927070 40062416 40240360 40385500 40420900 41007655 41146664 41435375 41859025 42000920 42286480 42439000 42566317 43092790 43164400 43790980 43987450 44136560 44332600 45253000 45862175 46017640 46546000 46586800 46685638 46895095 47554000 47654890 47696662 48244300 49059484 49455125 50078020 50300450 50470960 50526125 50697400 51433330 51518800 51905191 52312468 52501150 52858100 53955500 54738725 54924280 54972424 55170700 55415750 55603600 56113720 56758000 56928274 57522050 57717040 58233500 59177000 59822932 60305375 60509800 61324355 61544080 61951357 62186000 62372558 62597525 63088700 63371750 63883312 64398500 65101426 65390585 65612248 66072625 66296600 66974440 67673000 67876019 68655350 68715530 68948464 68963375 69504500 70142150 70379920 71401564 72146300 73379480 74222000 74444666 74778665 75032152 75637250 76247824 76930100 78229988 78860875 79128200 79854140 80480720 80771000 80841800 81013313 82015310 82293328 82870750 83718050 84001840 84878000 85132634 86185580 87581960 87974900 88665200 89251955 90182875 90506000 91724350 92035280 93371276 93790190 95309780 95393324 96162625 96488600 97787485 98118968 98910250 99817675 100156040 100600900 101052250 101394800 102866660 103810382 104624936 105002300 105716200 107731975 107911000 109477450 109848560 109944848 109968625 110341400 110831500 112227440 113856548 115044100 116467000 116714095 118354000 119137225 119241655 119645864 120610750 121019600 122648710 123902714 124745116 125195050 125751125 126177400 126743500 128583325 128797000 130202852 130781170 131224496 131252875 132145250 132593200 133948880 135346000 135752038 137310700 137431060 137926750 139009000 140284300 142320685 142803128 143805125 144292600 146758960 147730159 148889332 149557330 150064304 151274500 153860200 155931395 156459976 157721750 158256400 159443323 159708280 161542000 161683600 162026626 162753565 164030620 165741500 167436100 170265268 171638375 171788825 172371160 175163920 175355375 175949800 178503910 180365750 183448700 186111665 186742552 187580380 190619560 190786648 192325250 192977200 195574970 196237936 197820500 199635350 200312080 201201800 202104500 205038275 205733320 207620764 209249872 209295125 210004600 211432400 212831585 215463950 215822000 218954900 219937250 220682800 221663000 227713096 229310875 230088200 232934000 233428190 234475475 238274450 238483310 239291728 241221500 245297420 247805428 249490232 250390100 251502250 252354800 253487000 254247461 257166650 257594000 259525955 260405704 261562340 262505750 264290500 271504076 273693625 274621400 274862120 275853500 278018000 280568600 284641370 285606256 287610250 288585200 295460318 297778664 299114660 302549000 303456647 306621775 307720400 309756785 311862790 312919952 312987625 315443500 318886646 319416560 324053252 325507130 326952925 328061240 331483000 334872200 339380095 340530536 343276750 343577650 344742320 350710750 351899600 357007820 360731500 366897400 372223330 373485104 373893325 375160760 381239120 381573296 384650500 391149940 395641000 399270700 402403600 404209000 405066565 405421627 410076550 411466640 415241528 418590250 420009200 425663170 430927900 437909800 439874500 443326000 446259775 455426192 458621750 460176400 466856380 468950950 476548900 476966620 482443000 483890329 488937425 490594840 495610856 498980464 499088375 500780200 503004500 506974000 508494922 514333300 519051910 520811408 523124680 525011500 528581000 538659875 543008152 547387250 549242800 549724240 551707000 553362121 561137200 569282740 575220500 583570475 590920636 595557328 595686125 596208275 598229320 605098000 606913294 613243550 619513570 623725580 625975250 630887000 637773292 642916625 648106504 651014260 653905850 656122480 662966000 669744400 678760190 681061072 686553500 687155300 701421500 711603425 714015640 721463000 723627389 733794800 738650795 744446660 747786650 750321520 769301000 779656975 782299880 791282000 797216615 798541400 808418000 810133130 810843254 813767825 820153100 830483056 837180500 851326340 858944125 861855800 875819600 879749000 882388247 892519550 917243500 930558325 933712760 937901900 953097800 953933240 964886000 967780658 977874850 981189680 991221712 998176750 1001560400 1006009000 1016989844 1025191375 1028666600 1038103820 1046249360 1050023000 1053173069 1057162000 1064157925 1077319750 1086016304 1094774500 1103414000 1106724242 1138565480 1150441000 1153892323 1167140950 1172377375 1181841272 1191372250 1192416550 1196458640 1213826588 1226487100 1239027140 1247451160 1251950500 1261774000 1271237305 1275546584 1285833250 1296213008 1297629775 1302028520 1307811700 1357520380 1373107000 1374310600 1377226321 1402843000 1423206850 1428031280 1442926000 1447254778 1477301590 1488893320 1495573300 1517283235 1533108875 1538602000 1548783925 1559313950 1564599760 1594433230 1597082800 1620266260 1621686508 1627535650 1634764625 1640306200 1674361000 1696900475 1702652680 1717888250 1723711600 1759498000 1764776494 1785039100 1834487000 1861116650 1867425520 1869466625 1875803800 1906195600 1907866480 1920492067 1935561316 1955749700 1996353500 2012018000 2025332825 2027108135 2033979688 2050382750 2057333200 2076207640 2100046000 2106346138 2128315850 2154639500 2189549000 2213448484 2231298875 2277130960 2300882000 2307784646 2334281900 2344754750 2363682544 2382744500 2384833100 2419451645 2427653176 2444687125 2452974200 2478054280 2494902320 2503901000 2511412703 2542474610 2551093168 2571666500 2595259550 2604057040 2615623400 2715040760 2746214000 2748621200 2754452642 2766810605 2805686000 2846413700 2894509556 2917852375 2954603180 2977786640 2981041375 2991146600 3034566470 3066217750 3097567850 3118627900 3188866460 3240532520 3243373016 3255071300 3269529250 3280612400 3348722000 3393800950 3405305360 3435776500 3529552988 3558017125 3570078200 3618136945 3668974000 3693253975 3722233300 3738933250 3751607600 3840984134 3871122632 3898284875 3911499400 3986083075 3992707000 4050665650 4054216270 4067959376 4068839125 4100765500 4152415280 4212692276 4256631700 4309279000 4379098000 4411941235 4426896968 4462597750 4615569292 4652791625 4668563800 4689509500 4765489000 4769666200 4838903290 4855306352 4889374250 4905948400 4956108560 5007802000 5022825406 5084949220 5143333000 5190519100 5231246800 5265865345 5320789625 5430081520 5508905284 5533621210 5692827400 5769461615 5789019112 5835704750 5909206360 5962082750 5982293200 6069132940 6132435500 6195135700 6237255800 6356186525 6377732920 6481065040 6486746032 6488148875 6510142600 6539058500 6787601900 6871553000 6886131605 7059105976 7116034250 7140156400 7236273890 7386507950 7444466600 7477866500 7586416175 7681968268 7742245264 7743919625 7796569750 7822998800 7972166150 7985414000 8101331300 8108432540 8137678250 8201531000 8425384552 8484502375 8513263400 8618558000 8823882470 8853793936 8925195500 9231138584 9305583250 9337127600 9379019000 9407156057 9530978000 9539332400 9602460335 9677806580 9778748500 10045650812 10126664125 10135540675 10169898440 10286666000 10381038200 10531730690 10641579250 11017810568 11067242420 11385654800 11538923230 11578038224 11671409500 11818412720 11924165500 12097258225 12138265880 12264871000 12390271400 12474511600 12557063515 12712373050 12755465840 12976297750 13020285200 13078117000 13575203800 13743106000 13772263210 13834053025 14118211952 14232068500 14472547780 14773015900 14888933200 14955733000 15000600199 15172832350 15363936536 15487839250 15593139500 15944332300 16202662600 16216865080 16275356500 16403062000 16850769104 16969004750 17026526800 17647764940 17850391000 17903942173 18090684725 18462277168 18466269875 18611166500 18758038000 18814312114 19204920670 19355613160 19557497000 19930415375 20091301624 20253328250 20271081350 20339796880 20762076400 21063461380 21283158500 22035621136 22059706175 22134484840 23077846460 23342819000 23848331000 24194516450 24276531760 24529742000 24780542800 25114127030 25424746100 25952595500 26156234000 26329326725 27150407600 27544526420 27668106050 28464137000 28847308075 28945095560 29546031800 29911466000 30001200398 30345664700 30727873072 30975678500 31186279000 31780932625 31888664600 32405325200 32433730160 32550713000 32648365139 33938009500 34430658025 35295529880 35700782000 35807884346 36181369450 36932539750 37222333000 37628624228 37932080875 38409841340 38711226320 39114994000 39860830750 40182603248 40506656500 40542162700 42126922760 42566317000 42694015951 44119412350 44268969680 46155692920 46685638000 47035780285 47696662000 48012301675 48389032900 50228254060 50677703375 50849492200 51905191000 52658653450 55089052840 55336212100 56928274000 57694616150 57890191120 59092063600 60002400796 60486291125 60691329400 61951357000 62372558000 62785317575 63561865250 63777329200 65101426000 65296730278 67876019000 68861316050 69170265125 70591059760 71615768692 72362738900 73865079500 74444666000 75003000995 75257248456 75864161750 76819682680 79721661500 81013313000 81084325400 84253845520 85132634000 85388031902 88238824700 89519710865 90453423625 92311385840 94071560570 96024603350 96778065800 100456508120 101355406750 101698984400 103810382000 105317306900 110178105680 110298530875 110672424200 115389232300 120004801592 120972582250 121382658800 123902714000 125570635150 127123730500 130593460556 131646633625 135752038000 137722632100 138340530250 143231537384 144236540375 144725477800 147730159000 150006001990 150514496912 151728323500 153639365360 159443323000 162026626000 162168650800 163241825695 170776063804 172153290125 176477649400 179039421730 180906847250 188143121140 192049206700 193556131600 200913016240 202710813500 210634613800 213470079755 220597061750 221344848400 230778464600 235178901425 240009603184 240061508375 241945164500 251141270300 254247461000 261186921112 263293267250 275445264200 276681060500 286463074768 288473080750 289450955600 295460318000 300012003980 303456647000 313926587875 318886646000 326483651390 341552127608 344306580250 352955298800 358078843460 361813694500 375015004975 376286242280 384098413400 405421627000 421269227600 426940159510 441194123500 447598554325 461556929200 470357802850 480123016750 483890329000 502282540600 508494922000 522373842224 526586534500 550890528400 553362121000 555022207363 576946161500 600024007960 606913294000 627853175750 652967302780 683104255216 688613160500 716157686920 723627389000 750030009950 752572484560 768196826800 810843254000 816209128475 853880319020 882388247000 895197108650 940715605700 960246033500 967780658000 1004565081200 1053173069000 1067350398775 1106724242000 1110044414726 1153892323000 1175894507125 1200048015920 1255706351500 1305934605560 1377226321000 1432315373840 1447254778000 1500060019900 1632418256950 1707760638040 1764776494000 1790394217300 1875075024875 1881431211400 1920492067000 2106346138000 2134700797550 2220088829452 2237992771625 2307784646000 2351789014250 2511412703000 2611869211120 2754452642000 2775111036815 3000120039800 3264836513900 3415521276080 3580788434600 3750150049750 3762862422800 3840984134000 4081045642375 4269401595100 4440177658904 4475985543250 4703578028500 5022825406000 5336751993875 5550222073630 6000240079600 6529673027800 7161576869200 7500300099500 8162091284750 8538803190200 8880355317808 8951971086500 9407156057000 10673503987750 11100444147260 13059346055600 13875555184075 15000600199000 16324182569500 17077606380400 17903942173000 18814312114000 21347007975500 22200888294520 27751110368150 30001200398000 32648365139000 35807884346000 42694015951000 44401776589040 55502220736300 65296730278000 69377775920375 85388031902000 111004441472600 138755551840750 222008882945200 277511103681500 555022207363000 1110044414726000
- Sum of all divisors σ(n): 3313772624477952
- Sum of proper divisors (its aliquot sum) s(n): 2203728209751952
- 1110044414726000 is an abundant number, because the sum of its proper divisors (2203728209751952) is greater than itself. Its abundance is 1093683795025952
Bases of 1110044414726000
- Binary: 111111000110010100010110110000011001001111011100002
- Hexadecimal: 0x3F1945B064F70
- Base-36: AXH7D413E8
Squares and roots of 1110044414726000
- 1110044414726000 squared (11100444147260002) is 1232198602664387885655076000000
- 1110044414726000 cubed (11100444147260003) is 1367795176720785474735033449531049176000000000
-
The
square root of 1110044414726000 is 33317329.0454982301 -
The
cube root of 1110044414726000 is 103541.2615160387
Scales and comparisons
How big is 1110044414726000?- 1,110,044,414,726,000 seconds is equal to 35,295,978 years, 41 weeks, 2 days, 13 hours, 13 minutes, 20 seconds.
-
To count from 1 to 1,110,044,414,726,000 would take you about one hundred five million, eight hundred eighty-seven thousand, nine hundred thirty-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 1110044414726000 cubic inches would be around 8628.4 feet tall.
Recreational maths with 1110044414726000
- 1110044414726000 backwards is 0006274144400111
- The number of decimal digits it has is: 16
- The sum of 1110044414726000's digits is 35
- 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 1110044414726000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 1110044414726000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/1110044414726000/
Chicago style:
Numbermatics. 2024. "Number 1110044414726000 - Facts about the integer". https://numbermatics.com/n/1110044414726000/
The information we have on file for 1110044414726000 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 1110044414726000, math, Factors of 1110044414726000, curriculum, school, college, exams, university, Prime factorization of 1110044414726000, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, one hundred ten trillion, forty-four billion, four hundred fourteen million, seven hundred twenty-six thousand.