840702018216384000
840,702,018,216,384,000 is an even composite number composed of five prime numbers multiplied together.
840702018216384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 840702018216384000:
29 × 33 × 53 × 312 × 7973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 797 × 797 × 797)See below for interesting mathematical facts about the number 840702018216384000 from the Numbermatics database.
Names of 840702018216384000
- Cardinal: 840702018216384000 can be written as Eight hundred forty quadrillion, seven hundred two trillion, eighteen billion, two hundred sixteen million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 8.40702018216384 × 1017
Factors of 840702018216384000
Divisors of 840702018216384000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 125 128 135 144 150 155 160 180 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 360 372 375 384 400 432 450 465 480 496 500 512 540 558 576 600 620 640 675 720 744 750 768 775 797 800 837 864 900 930 960 961 992 1000 1080 1116 1125 1152 1200 1240 1280 1350 1395 1440 1488 1500 1536 1550 1594 1600 1674 1728 1800 1860 1920 1922 1984 2000 2160 2232 2250 2304 2325 2391 2400 2480 2560 2700 2790 2880 2883 2976 3000 3100 3188 3200 3348 3375 3456 3600 3720 3840 3844 3875 3968 3985 4000 4185 4320 4464 4500 4608 4650 4782 4800 4805 4960 5400 5580 5760 5766 5952 6000 6200 6376 6400 6696 6750 6912 6975 7173 7200 7440 7680 7688 7750 7936 7970 8000 8370 8640 8649 8928 9000 9300 9564 9600 9610 9920 10800 11160 11520 11532 11625 11904 11955 12000 12400 12752 12800 13392 13500 13824 13950 14346 14400 14415 14880 15376 15500 15872 15940 16000 16740 17280 17298 17856 18000 18600 19128 19200 19220 19840 19925 20925 21519 21600 22320 23040 23064 23250 23808 23910 24000 24025 24707 24800 25504 25947 26784 27000 27900 28692 28800 28830 29760 30752 31000 31880 32000 33480 34560 34596 34875 35712 35865 36000 37200 38256 38400 38440 39680 39850 41850 43038 43200 43245 44640 46128 46500 47616 47820 48000 48050 49414 49600 51008 51894 53568 54000 55800 57384 57600 57660 59520 59775 61504 62000 63760 64000 66960 69120 69192 69750 71424 71730 72000 72075 74121 74400 76512 76880 79360 79700 83700 86076 86400 86490 89280 92256 93000 95640 96000 96100 98828 99200 99625 102016 103788 104625 107136 107595 108000 111600 114768 115200 115320 119040 119550 120125 123008 123535 124000 127520 129735 133920 138384 139500 142848 143460 144000 144150 148242 148800 153024 153760 159400 167400 172152 172800 172980 178560 179325 184512 186000 191280 192000 192200 197656 198400 199250 204032 207576 209250 214272 215190 216000 216225 222363 223200 229536 230640 238080 239100 240250 246016 247070 248000 255040 259470 267840 276768 279000 286920 288000 288300 296484 297600 298875 306048 307520 318800 334800 344304 345600 345960 357120 358650 360375 369024 370605 372000 382560 384400 395312 396800 398500 408064 415152 418500 428544 430380 432000 432450 444726 446400 459072 461280 478200 480500 492032 494140 496000 510080 518940 535680 537975 553536 558000 573840 576000 576600 592968 595200 597750 612096 615040 617675 635209 637600 648675 667089 669600 688608 691920 714240 717300 720750 738048 741210 744000 765120 765917 768800 790624 797000 830304 837000 860760 864000 864900 889452 892800 896625 918144 922560 956400 961000 988280 992000 1020160 1037880 1071360 1075950 1081125 1107072 1111815 1116000 1147680 1153200 1185936 1190400 1195500 1224192 1230080 1235350 1270418 1275200 1297350 1334178 1339200 1377216 1383840 1434600 1441500 1476096 1482420 1488000 1530240 1531834 1537600 1581248 1594000 1660608 1674000 1721520 1728000 1729800 1778904 1785600 1793250 1836288 1845120 1853025 1905627 1912800 1922000 1976560 1984000 2040320 2075760 2142720 2151900 2162250 2214144 2223630 2232000 2295360 2297751 2306400 2371872 2391000 2460160 2470700 2540836 2550400 2594700 2668356 2678400 2689875 2754432 2767680 2869200 2883000 2964840 2976000 3060480 3063668 3075200 3088375 3162496 3176045 3188000 3243375 3321216 3335445 3348000 3443040 3459600 3557808 3571200 3586500 3672576 3690240 3706050 3811254 3825600 3829585 3844000 3953120 4151520 4303800 4324500 4428288 4447260 4464000 4590720 4595502 4612800 4743744 4782000 4941400 5081672 5100800 5189400 5336712 5356800 5379750 5508864 5535360 5559075 5716881 5738400 5766000 5929680 5952000 6120960 6127336 6150400 6176750 6324992 6352090 6376000 6486750 6642432 6670890 6696000 6886080 6893253 6919200 7115616 7173000 7380480 7412100 7622508 7651200 7659170 7688000 7906240 8303040 8607600 8649000 8894520 8928000 9181440 9191004 9225600 9265125 9487488 9528135 9564000 9882800 10163344 10201600 10378800 10673424 10713600 10759500 11017728 11070720 11118150 11433762 11476800 11488755 11532000 11859360 12254672 12300800 12353500 12649984 12704180 12752000 12973500 13284864 13341780 13392000 13772160 13786506 13838400 14231232 14346000 14824200 15245016 15302400 15318340 15376000 15812480 15880225 16606080 16677225 17150643 17215200 17298000 17789040 17856000 18362880 18382008 18451200 18530250 18974976 19056270 19128000 19147925 19691479 19765600 20326688 20679759 20757600 21346848 21519000 22141440 22236300 22867524 22953600 22977510 23064000 23718720 24509344 24707000 25408360 25504000 25947000 26683560 26784000 27544320 27573012 27676800 27795375 28462464 28584405 28692000 29648400 30490032 30604800 30636680 30752000 31624960 31760450 33212160 33354450 34301286 34430400 34466265 34596000 35578080 36764016 36902400 37060500 37949952 38112540 38256000 38295850 39382958 39531200 40653376 41359518 41515200 42693696 43038000 44472600 45735048 45907200 45955020 46128000 47437440 47640675 49018688 49414000 50816720 51008000 51894000 53367120 53568000 55088640 55146024 55353600 55590750 56924928 57168810 57384000 57443775 59074437 59296800 60980064 61273360 61504000 63249920 63520900 66424320 66708900 68602572 68860800 68932530 69192000 71156160 73528032 74121000 76225080 76512000 76591700 78765916 79062400 79401125 81306752 82719036 83030400 83386125 85387392 85753215 86076000 88945200 91470096 91814400 91910040 92256000 94874880 95281350 95739625 98037376 98457395 98828000 101633440 103398795 103788000 106734240 110292048 110707200 111181500 113849856 114337620 114768000 114887550 118148874 118593600 121960128 122546720 127041800 133417800 137205144 137721600 137865060 138384000 142312320 142922025 147056064 148242000 152450160 153024000 153183400 157531832 158124800 158802250 162613504 165438072 166060800 166772250 170774784 171506430 172152000 172331325 177223311 177890400 182940192 183820080 184512000 189749760 190562700 191479250 196074752 196914790 197656000 203266880 206797590 207576000 213468480 220584096 222363000 228675240 229536000 229775100 236297748 237187200 238203375 243920256 245093440 254083600 266835600 274410288 275443200 275730120 276768000 284624640 285844050 287218875 294112128 295372185 296484000 304900320 306366800 315063664 316249600 317604500 325227008 330876144 332121600 333544500 341549568 343012860 344304000 344662650 354446622 355780800 365880384 367640160 381125400 382958500 392149504 393829580 395312000 406533760 413595180 415152000 426936960 428766075 441168192 444726000 457350480 459072000 459550200 472595496 474374400 476406750 487840512 490186880 492286975 506261573 508167200 516993975 531669933 533671200 548820576 551460240 553536000 569249280 571688100 574437750 588224256 590744370 592968000 609800640 610435849 612733600 630127328 635209000 661752288 667089000 686025720 688608000 689325300 708893244 711561600 714610125 731760768 735280320 762250800 765917000 787659160 790624000 813067520 827190360 830304000 853873920 857532150 861656625 882336384 886116555 889452000 914700960 919100400 945190992 948748800 952813500 975681024 980373760 984573950 1012523146 1016334400 1033987950 1063339866 1067342400 1097641152 1102920480 1143376200 1148875500 1176448512 1181488740 1185936000 1219601280 1220871698 1225467200 1260254656 1270418000 1323504576 1334178000 1372051440 1377216000 1378650600 1417786488 1423123200 1429220250 1463521536 1470560640 1476860925 1518784719 1524501600 1531834000 1575318320 1581248000 1626135040 1654380720 1660608000 1707747840 1715064300 1723313250 1764672768 1772233110 1778904000 1829401920 1831307547 1838200800 1890381984 1905627000 1960747520 1969147900 2025046292 2032668800 2067975900 2126679732 2134684800 2143830375 2195282304 2205840960 2286752400 2297751000 2362977480 2371872000 2439202560 2441743396 2450934400 2461434875 2520509312 2531307865 2540836000 2584969875 2647009152 2658349665 2668356000 2744102880 2757301200 2835572976 2846246400 2858440500 2927043072 2941121280 2953721850 3037569438 3049003200 3052179245 3063668000 3150636640 3308761440 3430128600 3446626500 3529345536 3544466220 3557808000 3658803840 3662615094 3676401600 3780763968 3811254000 3938295800 4050092584 4065337600 4135951800 4253359464 4269369600 4287660750 4390564608 4411681920 4430582775 4556354157 4573504800 4595502000 4725954960 4743744000 4878405120 4883486792 4901868800 4922869750 5041018624 5062615730 5081672000 5169939750 5294018304 5316699330 5336712000 5488205760 5493922641 5514602400 5671145952 5716881000 5882242560 5907443700 6075138876 6098006400 6104358490 6127336000 6301273280 6617522880 6860257200 6893253000 7088932440 7115616000 7317607680 7325230188 7352803200 7384304625 7561527936 7593923595 7622508000 7876591600 8100185168 8130675200 8271903600 8506718928 8538739200 8575321500 8781129216 8823363840 8861165550 9112708314 9147009600 9156537735 9191004000 9451909920 9766973584 9803737600 9845739500 10082037248 10125231460 10163344000 10339879500 10588036608 10633398660 10673424000 10976411520 10987845282 11029204800 11342291904 11433762000 11814887400 12150277752 12196012800 12208716980 12254672000 12602546560 12656539325 13235045760 13291748325 13669062471 13720514400 13786506000 14177864880 14231232000 14635215360 14650460376 14705606400 14768609250 15123055872 15187847190 15245016000 15260896225 15694108763 15753183200 16200370336 16481767923 16543807200 17013437856 17150643000 17646727680 17722331100 18225416628 18294019200 18313075470 18382008000 18903819840 19533947168 19691479000 20250462920 20326688000 20679759000 21266797320 21346848000 21952823040 21975690564 22058409600 22152913875 22684583808 22781770785 22867524000 23629774800 24300555504 24392025600 24417433960 24509344000 25205093120 25313078650 26470091520 26583496650 27338124942 27441028800 27469613205 27573012000 28355729760 29300920752 29411212800 29537218500 30246111744 30375694380 30490032000 30521792450 31388217526 31506366400 32400740672 32963535846 33087614400 34026875712 34301286000 35444662200 36450833256 36588038400 36626150940 36764016000 37807639680 37969617975 39067894336 39382958000 40500925840 40653376000 41359518000 42533594640 42693696000 43905646080 43951381128 44116819200 44305827750 45369167616 45563541570 45735048000 45782688675 47082326289 47259549600 48601111008 48834867920 49018688000 50410186240 50626157300 52940183040 53166993300 54676249884 54882057600 54939226410 55146024000 56711459520 58601841504 59074437000 60751388760 60980064000 61043584900 62776435052 63012732800 63282696625 64801481344 65927071692 66175228800 66458741625 68053751424 68345312355 68602572000 70889324400 72901666512 73176076800 73252301880 73528032000 75615279360 75939235950 76304481125 78135788672 78470543815 78765916000 81001851680 82408839615 82719036000 85067189280 87902762256 88233638400 88611655500 90738335232 91127083140 91470096000 91565377350 94164652578 94519099200 97202222016 97669735840 101252314600 106333986600 109352499768 109764115200 109878452820 110292048000 113422919040 113908853925 117203683008 118148874000 121502777520 121960128000 122087169800 125552870104 126025465600 126565393250 129602962688 131854143384 132350457600 132917483250 136107502848 136690624710 137205144000 137348066025 141246978867 141778648800 145803333024 146504603760 147056064000 151230558720 151878471900 152608962250 156271577344 156941087630 157531832000 162003703360 164817679230 165438072000 170134378560 175805524512 177223311000 182254166280 182940192000 183130754700 188329305156 189038198400 189848089875 194404444032 195339471680 202504629200 212667973200 218704999536 219528230400 219756905640 220584096000 226845838080 227817707850 228913443375 234407366016 235411631445 236297748000 243005555040 244174339600 251105740208 252050931200 253130786500 259205925376 263708286768 264700915200 265834966500 272215005696 273381249420 274410288000 274696132050 282493957734 283557297600 291606666048 293009207520 303756943800 305217924500 312543154688 313882175260 315063664000 324007406720 329635358460 330876144000 340268757120 341726561775 351611049024 354446622000 364508332560 365880384000 366261509400 376658610312 378076396800 379696179750 388808888064 390678943360 392352719075 405009258400 412044198075 423740936601 425335946400 437409999072 439513811280 441168192000 453691676160 455635415700 457826886750 468814732032 470823262890 472595496000 486011110080 486517371653 488348679200 502211480416 506261573000 527416573536 531669933000 546762498840 548820576000 549392264100 564987915468 567114595200 569544269625 583213332096 586018415040 607513887600 610435849000 627764350520 630127328000 648014813440 659270716920 661752288000 680537514240 683453123550 686740330125 703222098048 706234894335 708893244000 729016665120 732523018800 753317220624 756152793600 759392359500 777617776128 781357886720 784705438150 810018516800 824088396150 847481873202 850671892800 874819998144 879027622560 911270831400 915653773500 937629464064 941646525780 945190992000 972022220160 973034743306 976697358400 1004422960832 1012523146000 1054833147072 1063339866000 1093524997680 1097641152000 1098784528200 1129975830936 1134229190400 1139088539250 1166426664192 1172036830080 1177058157225 1215027775200 1220871698000 1255528701040 1260254656000 1296029626880 1318541433840 1323504576000 1361075028480 1366906247100 1373480660250 1406444196096 1412469788670 1417786488000 1458033330240 1459552114959 1465046037600 1506634441248 1518784719000 1562715773440 1569410876300 1620037033600 1648176792300 1694963746404 1701343785600 1708632808875 1749639996288 1758055245120 1822541662800 1831307547000 1883293051560 1890381984000 1944044440320 1946069486612 1953394716800 1961763595375 2008845921664 2025046292000 2060220990375 2109666294144 2118704683005 2126679732000 2187049995360 2197569056400 2259951661872 2268458380800 2278177078500 2332853328384 2344073660160 2354116314450 2430055550400 2432586858265 2441743396000 2511057402080 2637082867680 2733812494200 2746961320500 2812888392192 2824939577340 2835572976000 2916066660480 2919104229918 2930092075200 3013268882496 3037569438000 3138821752600 3240074067200 3296353584600 3389927492808 3402687571200 3417265617750 3499279992576 3516110490240 3531174471675 3645083325600 3662615094000 3766586103120 3780763968000 3888088880640 3892138973224 3906789433600 3923527190750 4017691843328 4050092584000 4120441980750 4219332588288 4237409366010 4253359464000 4374099990720 4378656344877 4395138112800 4519903323744 4556354157000 4688147320320 4708232628900 4860111100800 4865173716530 4883486792000 5022114804160 5274165735360 5467624988400 5493922641000 5649879154680 5671145952000 5832133320960 5838208459836 5860184150400 5885290786125 6026537764992 6075138876000 6277643505200 6480148134400 6592707169200 6779854985616 6805375142400 6834531235500 6998559985152 7032220980480 7062348943350 7290166651200 7297760574795 7325230188000 7533172206240 7784277946448 7813578867200 7847054381500 8035383686656 8100185168000 8240883961500 8438665176576 8474818732020 8506718928000 8748199981440 8757312689754 8790276225600 9039806647488 9112708314000 9416465257800 9720222201600 9730347433060 9766973584000 10044229608320 10548331470720 10593523415025 10935249976800 10987845282000 11299758309360 11342291904000 11664266641920 11676416919672 11720368300800 11770581572250 12053075529984 12150277752000 12162934291325 12555287010400 13135969034631 13185414338400 13559709971232 13669062471000 14064441960960 14124697886700 14580333302400 14595521149590 14650460376000 15066344412480 15568555892896 15694108763000 16200370336000 16481767923000 16949637464040 17013437856000 17496399962880 17514625379508 17580552451200 17655872358375 18079613294976 18225416628000 18832930515600 19440444403200 19460694866120 19533947168000 20088459216640 21096662941440 21187046830050 21870499953600 21893281724385 21975690564000 22599516618720 23352833839344 23440736601600 23541163144500 24106151059968 24300555504000 24325868582650 25110574020800 26271938069262 26370828676800 27119419942464 27338124942000 28249395773400 29160666604800 29191042299180 29300920752000 30132688824960 31137111785792 31388217526000 32400740672000 32963535846000 33899274928080 34026875712000 34992799925760 35029250759016 35161104902400 35311744716750 36159226589952 36450833256000 36488802873975 37665861031200 38921389732240 39067894336000 40176918433280 42193325882880 42374093660100 43740999907200 43786563448770 43951381128000 45199033237440 46705667678688 47082326289000 48601111008000 48651737165300 50221148041600 52543876138524 52741657353600 52967617075125 54238839884928 54676249884000 56498791546800 58321333209600 58382084598360 58601841504000 60265377649920 60814671456625 62274223571584 62776435052000 65679845173155 65927071692000 67798549856160 70058501518032 70322209804800 70623489433500 72318453179904 72901666512000 72977605747950 75331722062400 77842779464480 84748187320200 87481999814400 87573126897540 87902762256000 90398066474880 93411335357376 94164652578000 97202222016000 97303474330600 100442296083200 105087752277048 105483314707200 105935234150250 108477679769856 109352499768000 109466408621925 112997583093600 116764169196720 117203683008000 120530755299840 121629342913250 124548447143168 125552870104000 131359690346310 131854143384000 135597099712320 140117003036064 141246978867000 145803333024000 145955211495900 150663444124800 155685558928960 169496374640400 174963999628800 175146253795080 175805524512000 180796132949760 182444014369875 186822670714752 188329305156000 194606948661200 200884592166400 210175504554096 210966629414400 211870468300500 216955359539712 218704999536000 218932817243850 225995166187200 233528338393440 243258685826500 249096894286336 251105740208000 262719380692620 263708286768000 271194199424640 280234006072128 282493957734000 291606666048000 291910422991800 301326888249600 311371117857920 328399225865775 338992749280800 350292507590160 351611049024000 361592265899520 364888028739750 373645341429504 376658610312000 389213897322400 420351009108192 423740936601000 437409999072000 437865634487700 451990332374400 467056676786880 486517371653000 502211480416000 525438761385240 527416573536000 542388398849280 547332043109625 560468012144256 564987915468000 583820845983600 602653776499200 622742235715840 656798451731550 677985498561600 700585015180320 729776057479500 747290682859008 753317220624000 778427794644800 840702018216384 847481873202000 874819998144000 875731268975400 903980664748800 934113353573760 973034743306000 1004422960832000 1050877522770480 1054833147072000 1084776797698560 1094664086219250 1120936024288512 1129975830936000 1167641691967200 1245484471431680 1313596903463100 1355970997123200 1401170030360640 1459552114959000 1506634441248000 1556855589289600 1641996129328875 1681404036432768 1694963746404000 1751462537950800 1807961329497600 1868226707147520 1946069486612000 2101755045540960 2189328172438500 2241872048577024 2259951661872000 2335283383934400 2627193806926200 2711941994246400 2802340060721280 2919104229918000 3013268882496000 3113711178579200 3283992258657750 3362808072865536 3389927492808000 3502925075901600 3736453414295040 3892138973224000 4203510091081920 4378656344877000 4519903323744000 4670566767868800 5254387613852400 5423883988492800 5604680121442560 5838208459836000 6227422357158400 6567984517315500 6725616145731072 6779854985616000 7005850151803200 7784277946448000 8407020182163840 8757312689754000 9039806647488000 9341133535737600 10508775227704800 11209360242885120 11676416919672000 13135969034631000 13559709971232000 14011700303606400 15568555892896000 16814040364327680 17514625379508000 18682267071475200 21017550455409600 23352833839344000 26271938069262000 27119419942464000 28023400607212800 31137111785792000 33628080728655360 35029250759016000 42035100910819200 46705667678688000 52543876138524000 56046801214425600 70058501518032000 84070201821638400 93411335357376000 105087752277048000 140117003036064000 168140403643276800 210175504554096000 280234006072128000 420351009108192000 840702018216384000
- Sum of all divisors σ(n): 3213140304002428800
- Sum of proper divisors (its aliquot sum) s(n): 2372438285786044800
- 840702018216384000 is an abundant number, because the sum of its proper divisors (2372438285786044800) is greater than itself. Its abundance is 1531736267569660800
Bases of 840702018216384000
- Binary: 1011101010101100011000001000000001011011110111010110000000002
- Hexadecimal: 0xBAAC60805BDD600
- Base-36: 6DXVZRFN62O0
Squares and roots of 840702018216384000
- 840702018216384000 squared (8407020182163840002) is 706779883433101254972646035456000000
- 840702018216384000 cubed (8407020182163840003) is 594191274436948851350624238763559789944111104000000000
-
The
square root of 840702018216384000 is 916898041.3417753615 -
The
cube root of 840702018216384000 is 943801.5726438627
Scales and comparisons
How big is 840702018216384000?- 840,702,018,216,384,000 seconds is equal to 26,731,723,717 years, 10 weeks, 2 days.
-
To count from 1 to 840,702,018,216,384,000 would take you about eighty billion, one hundred ninety-five million, one hundred seventy-one thousand, one hundred fifty-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 840702018216384000 cubic inches would be around 78650.1 feet tall.
Recreational maths with 840702018216384000
- 840702018216384000 backwards is 000483612810207048
- 840702018216384000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 840702018216384000's digits is 54
- 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 840702018216384000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 840702018216384000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/840702018216384000/
Chicago style:
Numbermatics. 2024. "Number 840702018216384000 - Facts about the integer". https://numbermatics.com/n/840702018216384000/
The information we have on file for 840702018216384000 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 840702018216384000, math, Factors of 840702018216384000, curriculum, school, college, exams, university, Prime factorization of 840702018216384000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred forty quadrillion, seven hundred two trillion, eighteen billion, two hundred sixteen million, three hundred eighty-four thousand.