64080172482560000
64,080,172,482,560,000 is an even composite number composed of five prime numbers multiplied together.
64080172482560000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand divisors.
Prime factorization of 64080172482560000:
219 × 54 × 134 × 41 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 41 × 167)See below for interesting mathematical facts about the number 64080172482560000 from the Numbermatics database.
Names of 64080172482560000
- Cardinal: 64080172482560000 can be written as Sixty-four quadrillion, eighty trillion, one hundred seventy-two billion, four hundred eighty-two million, five hundred sixty thousand.
Scientific notation
- Scientific notation: 6.408017248256 × 1016
Factors of 64080172482560000
Divisors of 64080172482560000
- Number of divisors d(n): 2000
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 80 82 100 104 125 128 130 160 164 167 169 200 205 208 250 256 260 320 325 328 334 338 400 410 416 500 512 520 533 625 640 650 656 668 676 800 820 832 835 845 1000 1024 1025 1040 1066 1250 1280 1300 1312 1336 1352 1600 1625 1640 1664 1670 1690 2000 2048 2050 2080 2132 2171 2197 2500 2560 2600 2624 2665 2672 2704 3200 3250 3280 3328 3340 3380 4000 4096 4100 4160 4175 4225 4264 4342 4394 5000 5120 5125 5200 5248 5330 5344 5408 6400 6500 6560 6656 6680 6760 6847 6929 8000 8125 8192 8200 8320 8350 8450 8528 8684 8788 10000 10240 10250 10400 10496 10660 10688 10816 10855 10985 12800 13000 13120 13312 13325 13360 13520 13694 13858 16000 16250 16384 16400 16640 16700 16900 17056 17368 17576 20000 20480 20500 20800 20875 20992 21125 21320 21376 21632 21710 21970 25600 25625 26000 26240 26624 26650 26720 27040 27388 27716 28223 28561 32000 32500 32768 32800 33280 33400 33800 34112 34235 34645 34736 35152 40000 40960 41000 41600 41750 41984 42250 42640 42752 43264 43420 43940 51200 51250 52000 52480 53248 53300 53440 54080 54275 54776 54925 55432 56446 57122 64000 65000 65536 65600 66560 66625 66800 67600 68224 68470 69290 69472 70304 80000 81920 82000 83200 83500 83968 84500 85280 85504 86528 86840 87880 89011 90077 102400 102500 104000 104375 104960 105625 106496 106600 106880 108160 108550 109552 109850 110864 112892 114244 128000 130000 131072 131200 133120 133250 133600 135200 136448 136940 138580 138944 140608 141115 142805 160000 163840 164000 166400 167000 167936 169000 170560 171008 171175 173056 173225 173680 175760 178022 180154 204800 205000 208000 208750 209920 211250 212992 213200 213760 216320 217100 219104 219700 221728 225784 228488 256000 260000 262144 262400 266240 266500 267200 270400 271375 272896 273880 274625 277160 277888 281216 282230 285610 320000 327680 328000 332800 333125 334000 335872 338000 341120 342016 342350 346112 346450 347360 351520 356044 360308 366899 409600 410000 416000 417500 419840 422500 425984 426400 427520 432640 434200 438208 439400 443456 445055 450385 451568 456976 512000 520000 524288 524800 532480 533000 534400 540800 542750 545792 547760 549250 554320 555776 562432 564460 571220 640000 655360 656000 665600 666250 668000 671744 676000 682240 684032 684700 692224 692900 694720 703040 705575 712088 714025 720616 733798 819200 820000 832000 835000 839680 845000 851968 852800 855040 855875 865280 866125 868400 876416 878800 886912 890110 900770 903136 913952 1024000 1040000 1049600 1064960 1066000 1068800 1081600 1085500 1091584 1095520 1098500 1108640 1111552 1124864 1128920 1142440 1157143 1171001 1280000 1310720 1312000 1331200 1332500 1336000 1343488 1352000 1356875 1364480 1368064 1369400 1373125 1384448 1385800 1389440 1406080 1411150 1424176 1428050 1441232 1467596 1638400 1640000 1664000 1670000 1679360 1690000 1703936 1705600 1710080 1711750 1730560 1732250 1736800 1752832 1757600 1773824 1780220 1801540 1806272 1827904 1834495 2048000 2080000 2099200 2129920 2132000 2137600 2163200 2171000 2183168 2191040 2197000 2217280 2223104 2225275 2249728 2251925 2257840 2284880 2314286 2342002 2560000 2621440 2624000 2662400 2665000 2672000 2686976 2704000 2713750 2728960 2736128 2738800 2746250 2768896 2771600 2778880 2812160 2822300 2848352 2856100 2882464 2935192 3276800 3280000 3328000 3340000 3358720 3380000 3407872 3411200 3420160 3423500 3461120 3464500 3473600 3505664 3515200 3527875 3547648 3560440 3570125 3603080 3612544 3655808 3668990 4096000 4160000 4198400 4259840 4264000 4275200 4279375 4326400 4330625 4342000 4366336 4382080 4394000 4434560 4446208 4450550 4499456 4503850 4515680 4569760 4628572 4684004 4769687 5120000 5248000 5324800 5330000 5344000 5373952 5408000 5427500 5457920 5472256 5477600 5492500 5537792 5543200 5557760 5624320 5644600 5696704 5712200 5764928 5785715 5855005 5870384 6553600 6560000 6656000 6680000 6717440 6760000 6815744 6822400 6840320 6847000 6922240 6929000 6947200 7011328 7030400 7055750 7095296 7120880 7140250 7206160 7225088 7311616 7337980 8192000 8320000 8396800 8519680 8528000 8550400 8558750 8652800 8661250 8684000 8732672 8764160 8788000 8869120 8892416 8901100 8998912 9007700 9031360 9139520 9172475 9257144 9368008 9539374 10240000 10496000 10649600 10660000 10688000 10747904 10816000 10855000 10915840 10944512 10955200 10985000 11075584 11086400 11115520 11126375 11248640 11259625 11289200 11393408 11424400 11529856 11571430 11710010 11740768 13107200 13120000 13312000 13360000 13434880 13520000 13644800 13680640 13694000 13844480 13858000 13894400 14022656 14060800 14111500 14190592 14241760 14280500 14412320 14450176 14623232 14675960 15042859 16384000 16640000 16793600 17039360 17056000 17100800 17117500 17305600 17322500 17368000 17465344 17528320 17576000 17639375 17738240 17784832 17802200 17850625 17997824 18015400 18062720 18279040 18344950 18514288 18736016 19078748 20480000 20992000 21299200 21320000 21376000 21495808 21632000 21710000 21831680 21889024 21910400 21970000 22151168 22172800 22231040 22252750 22497280 22519250 22578400 22786816 22848800 23059712 23142860 23420020 23481536 23848435 26240000 26624000 26720000 26869760 27040000 27289600 27361280 27388000 27688960 27716000 27788800 28045312 28121600 28223000 28381184 28483520 28561000 28824640 28900352 28928575 29246464 29275025 29351920 30085718 32768000 33280000 33587200 34078720 34112000 34201600 34235000 34611200 34645000 34736000 34930688 35056640 35152000 35278750 35476480 35569664 35604400 35701250 35995648 36030800 36125440 36558080 36689900 37028576 37472032 38157496 40960000 41984000 42598400 42640000 42752000 43264000 43420000 43663360 43778048 43820800 43940000 44302336 44345600 44462080 44505500 44994560 45038500 45156800 45573632 45697600 45862375 46119424 46285720 46840040 46963072 47696870 52480000 53248000 53440000 53739520 54080000 54579200 54722560 54776000 55377920 55432000 55577600 55631875 56090624 56243200 56298125 56446000 56762368 56967040 57122000 57649280 57800704 57857150 58492928 58550050 58703840 60171436 65536000 66560000 67174400 68224000 68403200 68470000 69222400 69290000 69472000 69861376 70113280 70304000 70557500 70952960 71139328 71208800 71402500 71991296 72061600 72250880 73116160 73379800 74057152 74944064 75214295 76314992 81920000 83968000 85196800 85280000 85504000 86528000 86840000 87326720 87556096 87641600 87880000 88604672 88691200 88924160 89011000 89989120 90077000 90313600 91147264 91395200 91724750 92238848 92571440 93680080 93926144 95393740 104960000 106496000 106880000 107479040 108160000 109158400 109445120 109552000 110755840 110864000 111155200 111263750 112181248 112486400 112596250 112892000 113524736 113934080 114244000 115298560 115601408 115714300 116985856 117100100 117407680 119242175 120342872 133120000 134348800 136448000 136806400 136940000 138444800 138580000 138944000 139722752 140226560 140608000 141115000 141905920 142278656 142417600 142805000 143982592 144123200 144501760 144642875 146232320 146375125 146759600 148114304 149888128 150428590 152629984 163840000 167936000 170393600 170560000 171008000 173056000 173680000 174653440 175283200 175760000 177382400 177848320 178022000 179978240 180154000 180627200 182294528 182790400 183449500 184477696 185142880 187360160 187852288 190787480 195557167 209920000 212992000 213760000 216320000 218316800 218890240 219104000 221511680 221728000 222310400 222527500 224362496 224972800 225192500 225784000 227049472 227868160 228488000 229311875 230597120 231202816 231428600 233971712 234200200 234815360 238484350 240685744 266240000 268697600 272896000 273612800 273880000 276889600 277160000 277888000 279445504 280453120 281216000 282230000 283811840 284557312 284835200 285610000 287965184 288246400 289003520 289285750 292464640 292750250 293519200 296228608 299776256 300857180 305259968 327680000 335872000 341120000 342016000 346112000 347360000 349306880 350566400 351520000 354764800 355696640 356044000 359956480 360308000 361254400 364589056 365580800 366899000 368955392 370285760 374720320 375704576 376071475 381574960 391114334 419840000 425984000 427520000 432640000 436633600 437780480 438208000 443023360 443456000 444620800 445055000 448724992 449945600 450385000 451568000 454098944 455736320 456976000 458623750 461194240 462405632 462857200 467943424 468400400 469630720 476968700 481371488 532480000 537395200 545792000 547225600 547760000 553779200 554320000 555776000 560906240 562432000 564460000 567623680 569114624 569670400 571220000 575930368 576492800 578007040 578571500 584929280 585500500 587038400 592457216 596210875 599552512 601714360 610519936 671744000 682240000 684032000 692224000 694720000 698613760 701132800 703040000 709529600 711393280 712088000 719912960 720616000 722508800 723214375 729178112 731161600 731875625 733798000 737910784 740571520 749440640 751409152 752142950 763149920 782228668 839680000 851968000 855040000 865280000 873267200 876416000 886912000 889241600 890110000 897449984 899891200 900770000 903136000 908197888 911472640 913952000 917247500 922388480 924811264 925714400 935886848 936800800 939261440 953937400 962742976 977785835 1064960000 1091584000 1094451200 1095520000 1107558400 1108640000 1111552000 1121812480 1124864000 1128920000 1135247360 1138229248 1139340800 1142440000 1151860736 1152985600 1156014080 1157143000 1169858560 1171001000 1174076800 1184914432 1192421750 1199105024 1203428720 1221039872 1343488000 1364480000 1368064000 1384448000 1389440000 1397227520 1402265600 1406080000 1419059200 1422786560 1424176000 1439825920 1441232000 1445017600 1446428750 1458356224 1462323200 1463751250 1467596000 1475821568 1481143040 1498881280 1502818304 1504285900 1526299840 1564457336 1679360000 1710080000 1730560000 1746534400 1752832000 1773824000 1778483200 1780220000 1794899968 1799782400 1801540000 1806272000 1816395776 1822945280 1827904000 1834495000 1844776960 1849622528 1851428800 1871773696 1873601600 1878522880 1880357375 1907874800 1925485952 1955571670 2129920000 2183168000 2188902400 2191040000 2215116800 2217280000 2223104000 2243624960 2249728000 2257840000 2270494720 2278681600 2284880000 2305971200 2312028160 2314286000 2339717120 2342002000 2348153600 2369828864 2384843500 2398210048 2406857440 2442079744 2686976000 2728960000 2736128000 2768896000 2778880000 2804531200 2812160000 2838118400 2845573120 2848352000 2879651840 2882464000 2890035200 2892857500 2916712448 2924646400 2927502500 2935192000 2951643136 2962286080 2981054375 2997762560 3005636608 3008571800 3052599680 3128914672 3358720000 3420160000 3461120000 3493068800 3505664000 3547648000 3556966400 3560440000 3589799936 3599564800 3603080000 3612544000 3632791552 3645890560 3655808000 3668990000 3689553920 3699245056 3702857600 3743547392 3747203200 3757045760 3760714750 3815749600 3850971904 3911143340 4259840000 4366336000 4382080000 4434560000 4446208000 4487249920 4499456000 4515680000 4540989440 4557363200 4569760000 4611942400 4624056320 4628572000 4679434240 4684004000 4696307200 4739657728 4769687000 4796420096 4813714880 4884159488 4888929175 5457920000 5472256000 5537792000 5557760000 5609062400 5624320000 5676236800 5691146240 5696704000 5759303680 5764928000 5780070400 5785715000 5833424896 5849292800 5855005000 5870384000 5903286272 5924572160 5962108750 5995525120 6011273216 6017143600 6105199360 6257829344 6717440000 6840320000 6922240000 6986137600 7011328000 7095296000 7113932800 7120880000 7199129600 7206160000 7225088000 7291781120 7311616000 7337980000 7379107840 7398490112 7405715200 7487094784 7494406400 7514091520 7521429500 7631499200 7701943808 7822286680 8732672000 8764160000 8869120000 8892416000 8974499840 8998912000 9031360000 9081978880 9114726400 9139520000 9223884800 9248112640 9257144000 9358868480 9368008000 9392614400 9401786875 9479315456 9539374000 9592840192 9627429760 9768318976 9777858350 10915840000 10944512000 11075584000 11115520000 11218124800 11248640000 11352473600 11393408000 11529856000 11560140800 11571430000 11666849792 11698585600 11710010000 11740768000 11806572544 11849144320 11924217500 11991050240 12022546432 12034287200 12210398720 12515658688 13434880000 13680640000 13844480000 14022656000 14190592000 14227865600 14241760000 14398259200 14412320000 14450176000 14583562240 14623232000 14675960000 14758215680 14796980224 14811430400 14974189568 14988812800 15028183040 15042859000 15262998400 15403887616 15644573360 17465344000 17528320000 17738240000 17784832000 17948999680 17997824000 18062720000 18163957760 18229452800 18279040000 18447769600 18496225280 18514288000 18717736960 18736016000 18785228800 18803573750 18958630912 19078748000 19185680384 19254859520 19536637952 19555716700 21831680000 22231040000 22436249600 22497280000 22704947200 22786816000 23059712000 23120281600 23142860000 23333699584 23397171200 23420020000 23481536000 23613145088 23698288640 23848435000 23982100480 24045092864 24068574400 24420797440 24444645875 25031317376 27361280000 27688960000 28045312000 28381184000 28455731200 28483520000 28796518400 28824640000 28900352000 29167124480 29246464000 29351920000 29516431360 29622860800 29977625600 30056366080 30085718000 30525996800 30807775232 31289146720 34930688000 35056640000 35476480000 35569664000 35995648000 36125440000 36458905600 36558080000 36895539200 36992450560 37028576000 37435473920 37472032000 37570457600 37607147500 37917261824 38157496000 38371360768 38509719040 39073275904 39111433400 43663360000 44462080000 44872499200 44994560000 45409894400 45573632000 46119424000 46240563200 46285720000 46667399168 46794342400 46840040000 46963072000 47226290176 47396577280 47696870000 47964200960 48090185728 48137148800 48841594880 48889291750 50062634752 54722560000 55377920000 56090624000 56762368000 56967040000 57649280000 57800704000 58334248960 58492928000 58703840000 59032862720 59245721600 59955251200 60112732160 60171436000 61051993600 61615550464 62578293440 70113280000 70952960000 71139328000 71991296000 72250880000 72917811200 73116160000 73791078400 73984901120 74057152000 74870947840 74944064000 75140915200 75214295000 75834523648 76314992000 76742721536 77019438080 78146551808 78222866800 87326720000 88924160000 89744998400 89989120000 90819788800 91147264000 92238848000 92481126400 92571440000 93588684800 93680080000 93926144000 94793154560 95393740000 95928401920 96180371456 96274297600 97683189760 97778583500 100125269504 112181248000 113524736000 113934080000 115298560000 115601408000 116668497920 116985856000 117407680000 118065725440 118491443200 119910502400 120225464320 120342872000 122103987200 122223229375 123231100928 125156586880 140226560000 141905920000 142278656000 143982592000 144501760000 145835622400 146232320000 147582156800 148114304000 149888128000 150281830400 150428590000 151669047296 152629984000 153485443072 154038876160 156293103616 156445733600 174653440000 177848320000 179978240000 182294528000 184477696000 184962252800 185142880000 187177369600 187360160000 187852288000 189586309120 190787480000 191856803840 192360742912 192548595200 195366379520 195557167000 200250539008 224362496000 227049472000 227868160000 230597120000 231202816000 233336995840 233971712000 234815360000 236131450880 236982886400 239821004800 240450928640 240685744000 244207974400 244446458750 246462201856 250313173760 280453120000 283811840000 289003520000 291671244800 292464640000 295164313600 296228608000 299776256000 300563660800 300857180000 303338094592 305259968000 306970886144 308077752320 312586207232 312891467200 355696640000 359956480000 364589056000 368955392000 369924505600 370285760000 374354739200 374720320000 375704576000 379172618240 381574960000 383713607680 385097190400 390732759040 391114334000 400501078016 448724992000 454098944000 455736320000 461194240000 462405632000 467943424000 469630720000 473965772800 479642009600 480901857280 481371488000 488415948800 488892917500 492924403712 500626347520 560906240000 567623680000 578007040000 583342489600 584929280000 590328627200 592457216000 599552512000 601127321600 601714360000 606676189184 610519936000 613941772288 616155504640 625172414464 625782934400 711393280000 719912960000 729178112000 737910784000 740571520000 749440640000 751409152000 758345236480 763149920000 767427215360 770194380800 781465518080 782228668000 801002156032 911472640000 922388480000 924811264000 935886848000 939261440000 947931545600 959284019200 961803714560 962742976000 976831897600 977785835000 985848807424 1001252695040 1121812480000 1135247360000 1156014080000 1166684979200 1169858560000 1180657254400 1184914432000 1199105024000 1202254643200 1203428720000 1221039872000 1232311009280 1250344828928 1251565868800 1458356224000 1475821568000 1481143040000 1498881280000 1502818304000 1516690472960 1526299840000 1534854430720 1540388761600 1562931036160 1564457336000 1602004312064 1822945280000 1844776960000 1849622528000 1871773696000 1878522880000 1895863091200 1918568038400 1925485952000 1953663795200 1955571670000 1971697614848 2002505390080 2243624960000 2270494720000 2312028160000 2339717120000 2369828864000 2398210048000 2404509286400 2406857440000 2442079744000 2464622018560 2500689657856 2503131737600 2916712448000 2951643136000 2962286080000 2997762560000 3005636608000 3033380945920 3052599680000 3069708861440 3080777523200 3125862072320 3128914672000 3204008624128 3645890560000 3689553920000 3757045760000 3791726182400 3837136076800 3850971904000 3907327590400 3911143340000 3943395229696 4005010780160 4624056320000 4679434240000 4739657728000 4796420096000 4809018572800 4813714880000 4884159488000 4929244037120 5006263475200 5833424896000 5903286272000 5924572160000 5995525120000 6011273216000 6105199360000 6161555046400 6251724144640 6257829344000 6408017248256 7291781120000 7379107840000 7514091520000 7583452364800 7674272153600 7701943808000 7814655180800 7822286680000 7886790459392 8010021560320 9248112640000 9358868480000 9479315456000 9592840192000 9627429760000 9768318976000 9858488074240 10012526950400 11849144320000 11991050240000 12022546432000 12210398720000 12323110092800 12503448289280 12515658688000 12816034496512 14583562240000 14758215680000 15028183040000 15166904729600 15348544307200 15403887616000 15629310361600 15644573360000 16020043120640 18958630912000 19185680384000 19254859520000 19536637952000 19716976148480 20025053900800 23698288640000 23982100480000 24045092864000 24420797440000 24646220185600 25031317376000 25632068993024 29167124480000 29516431360000 30056366080000 30807775232000 31258620723200 31289146720000 32040086241280 37917261824000 38371360768000 38509719040000 39073275904000 39433952296960 40050107801600 47396577280000 47964200960000 48841594880000 49292440371200 50062634752000 51264137986048 60112732160000 61615550464000 62517241446400 62578293440000 64080172482560 75834523648000 76742721536000 77019438080000 78146551808000 80100215603200 94793154560000 95928401920000 97683189760000 98584880742400 100125269504000 102528275972096 120225464320000 123231100928000 125156586880000 128160344965120 154038876160000 156293103616000 160200431206400 189586309120000 191856803840000 195366379520000 197169761484800 200250539008000 246462201856000 250313173760000 256320689930240 308077752320000 312586207232000 320400862412800 379172618240000 383713607680000 390732759040000 400501078016000 492924403712000 500626347520000 512641379860480 616155504640000 640801724825600 781465518080000 801002156032000 985848807424000 1001252695040000 1232311009280000 1281603449651200 1562931036160000 1602004312064000 2002505390080000 2464622018560000 2563206899302400 3204008624128000 4005010780160000 4929244037120000 6408017248256000 8010021560320000 12816034496512000 16020043120640000 32040086241280000 64080172482560000
- Sum of all divisors σ(n): 178790093257129200
- Sum of proper divisors (its aliquot sum) s(n): 114709920774569200
- 64080172482560000 is an abundant number, because the sum of its proper divisors (114709920774569200) is greater than itself. Its abundance is 50629748292009200
Bases of 64080172482560000
- Binary: 111000111010100010010011110011011111100000000000000000002
- Hexadecimal: 0xE3A893CDF80000
- Base-36: HIYIWUB3BI8
Squares and roots of 64080172482560000
- 64080172482560000 squared (640801724825600002) is 4106268505394639833504153600000000
- 64080172482560000 cubed (640801724825600003) is 263130394085392378372234923458183561216000000000000
-
The
square root of 64080172482560000 is 253140618.0022479127 -
The
cube root of 64080172482560000 is 400166.9563096145
Scales and comparisons
How big is 64080172482560000?- 64,080,172,482,560,000 seconds is equal to 2,037,551,271 years, 49 weeks, 5 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 64,080,172,482,560,000 would take you about six billion, one hundred twelve million, six hundred fifty-three thousand, eight hundred fifteen 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 64080172482560000 cubic inches would be around 33347.2 feet tall.
Recreational maths with 64080172482560000
- 64080172482560000 backwards is 00006528427108046
- The number of decimal digits it has is: 17
- The sum of 64080172482560000's digits is 53
- 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 64080172482560000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 64080172482560000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/64080172482560000/
Chicago style:
Numbermatics. 2024. "Number 64080172482560000 - Facts about the integer". https://numbermatics.com/n/64080172482560000/
The information we have on file for 64080172482560000 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 64080172482560000, math, Factors of 64080172482560000, curriculum, school, college, exams, university, Prime factorization of 64080172482560000, STEM, science, technology, engineering, physics, economics, calculator, sixty-four quadrillion, eighty trillion, one hundred seventy-two billion, four hundred eighty-two million, five hundred sixty thousand.