2068279977989632000
2,068,279,977,989,632,000 is an even composite number composed of five prime numbers multiplied together.
2068279977989632000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 2068279977989632000:
212 × 53 × 113 × 892 × 6192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 89 × 89 × 619 × 619)See below for interesting mathematical facts about the number 2068279977989632000 from the Numbermatics database.
Names of 2068279977989632000
- Cardinal: 2068279977989632000 can be written as Two quintillion, sixty-eight quadrillion, two hundred seventy-nine trillion, nine hundred seventy-seven billion, nine hundred eighty-nine million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 2.068279977989632 × 1018
Factors of 2068279977989632000
Divisors of 2068279977989632000
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 89 100 110 121 125 128 160 176 178 200 220 242 250 256 275 320 352 356 400 440 445 484 500 512 550 605 619 640 704 712 800 880 890 968 979 1000 1024 1100 1210 1238 1280 1331 1375 1408 1424 1600 1760 1780 1936 1958 2000 2048 2200 2225 2420 2476 2560 2662 2750 2816 2848 3025 3095 3200 3520 3560 3872 3916 4000 4096 4400 4450 4840 4895 4952 5120 5324 5500 5632 5696 6050 6190 6400 6655 6809 7040 7120 7744 7832 7921 8000 8800 8900 9680 9790 9904 10240 10648 10769 11000 11125 11264 11392 12100 12380 12800 13310 13618 14080 14240 15125 15475 15488 15664 15842 16000 17600 17800 19360 19580 19808 20480 21296 21538 22000 22250 22528 22784 24200 24475 24760 25600 26620 27236 28160 28480 30250 30950 30976 31328 31684 32000 33275 34045 35200 35600 38720 39160 39605 39616 42592 43076 44000 44500 45056 45568 48400 48950 49520 51200 53240 53845 54472 55091 56320 56960 60500 61900 61952 62656 63368 64000 66550 68090 70400 71200 74899 77375 77440 78320 79210 79232 85184 86152 87131 88000 89000 91136 96800 97900 99040 102400 106480 107690 108944 110182 112640 113920 118459 121000 122375 123800 123904 125312 126736 128000 133100 136180 140800 142400 149798 154750 154880 156640 158420 158464 166375 170225 170368 172304 174262 176000 178000 182272 193600 195800 198025 198080 212960 215380 217888 220364 225280 227840 236918 242000 244750 247600 247808 250624 253472 256000 266200 269225 272360 275455 281600 284800 299596 309500 309760 313280 316840 316928 332750 340450 340736 344608 348524 352000 356000 364544 374495 383161 387200 391600 396050 396160 425920 430760 435655 435776 440728 455680 473836 484000 489500 495200 495616 501248 506944 512000 532400 538450 544720 550910 563200 569600 592295 599192 606001 619000 619520 626560 633680 633856 665500 680900 681472 689216 697048 704000 712000 748990 766322 774400 783200 792100 792320 823889 851125 851840 861520 871310 871552 881456 911360 947672 958441 968000 979000 990125 990400 1002496 1013888 1064800 1076900 1089440 1101820 1126400 1139200 1184590 1198384 1212002 1238000 1239040 1253120 1267360 1267712 1331000 1346125 1361800 1362944 1377275 1378432 1394096 1408000 1424000 1497980 1532644 1548800 1566400 1584200 1584640 1647778 1702250 1703680 1723040 1742620 1743104 1762912 1822720 1872475 1895344 1915805 1916882 1936000 1958000 1980250 1980800 2004992 2027776 2129600 2153800 2178275 2178880 2203640 2278400 2369180 2396768 2424004 2476000 2478080 2506240 2534720 2535424 2662000 2692250 2723600 2725888 2754550 2756864 2788192 2816000 2848000 2961475 2995960 3030005 3065288 3097600 3132800 3168400 3169280 3295556 3404500 3407360 3446080 3485240 3486208 3525824 3744950 3790688 3831610 3833764 3872000 3916000 3960500 3961600 4009984 4055552 4119445 4214771 4259200 4307600 4356550 4357760 4407280 4556800 4738360 4792205 4793536 4848008 4903099 4952000 5012480 5069440 5324000 5384500 5447200 5451776 5509100 5513728 5576384 5632000 5696000 5922950 5991920 6060010 6130576 6195200 6265600 6336800 6338560 6591112 6666011 6809000 6814720 6886375 6892160 6970480 6972416 7051648 7489900 7581376 7663220 7667528 7744000 7832000 7921000 7923200 8111104 8238890 8429542 8518400 8615200 8713100 8715520 8814560 9113600 9362375 9476720 9579025 9584410 9587072 9696016 9806198 9904000 10024960 10138880 10542851 10648000 10769000 10891375 10894400 11018200 11027456 11152768 11392000 11845900 11983840 12120020 12261152 12390400 12531200 12673600 12677120 13182224 13332022 13618000 13629440 13772750 13784320 13940960 13944832 14103296 14807375 14979800 15150025 15162752 15326440 15335056 15488000 15664000 15842000 15846400 16222208 16477780 16859084 17036800 17230400 17426200 17431040 17629120 18724750 18953440 19158050 19168820 19174144 19392032 19612396 19808000 20049920 20277760 20597225 21073855 21085702 21296000 21538000 21782750 21788800 22036400 22054912 22305536 22784000 23691800 23961025 23967680 24240040 24515495 24522304 25062400 25347200 26364448 26664044 27236000 27258880 27545500 27568640 27881920 27889664 28206592 29614750 29959600 30300050 30325504 30652880 30670112 30976000 31328000 31684000 31692800 32444416 32955560 33330055 33718168 34073600 34101329 34460800 34852400 34862080 35258240 37449500 37906880 38316100 38337640 38348288 38784064 39224792 39616000 40555520 41194450 42147710 42171404 42592000 43076000 43565500 43577600 44072800 44109824 44611072 45568000 46362481 47383600 47895125 47922050 47935360 48480080 49030990 49044608 50124800 50694400 52714255 52728896 53328088 53934089 54472000 55091000 55137280 55763840 56413184 59229500 59919200 60600100 60651008 61305760 61340224 61952000 62656000 63368000 63385600 65911120 66660110 67436336 68147200 68202658 68921600 69704800 69724160 70516480 73326121 74899000 75750125 75813760 76632200 76675280 76696576 77568128 78449584 79232000 81111040 82388900 84295420 84342808 85184000 86152000 87131000 87155200 88145600 89222144 92724962 94767200 95790250 95844100 95870720 96960160 98061980 98089216 100249600 101388800 102986125 105369275 105428510 105457792 106656176 107868178 108944000 110182000 110274560 111527680 112826368 118459000 119805125 119838400 121200200 121302016 122577475 122611520 122680448 125312000 126736000 131822240 133320220 134872672 136294400 136405316 137843200 139409600 139448320 141032960 146652242 149798000 151500250 151627520 153264400 153350560 153393152 155136256 156899168 158464000 162222080 164777800 166650275 168590840 168685616 170368000 170506645 172304000 174262000 174310400 176291200 178444288 185449924 189534400 191580500 191688200 191741440 193920320 196123960 196178432 202777600 205972250 210738550 210857020 210915584 213312352 215736356 217888000 220364000 220549120 223055360 225652736 231812405 236918000 239610250 239676800 242400400 242604032 245154950 245223040 245360896 250624000 253472000 263571275 263644480 266640440 269670445 269745344 272810632 275686400 278819200 282065920 293304484 299596000 303000500 303255040 306528800 306701120 306786304 310272512 313798336 316928000 329555600 333300550 337181680 337371232 340736000 341013290 344608000 348524000 348620800 352582400 356888576 366630605 370899848 375114619 379068800 383161000 383376400 383482880 387840640 392247920 392356864 405555200 411944500 421477100 421714040 421831168 426624704 431472712 435776000 440728000 446110720 463624810 473836000 479220500 479353600 484800800 485208064 490309900 490446080 490721792 501248000 506944000 509987291 526846375 527142550 527288960 533280880 539340890 539490688 545621264 551372800 557638400 564131840 586608968 593274979 599192000 606001000 606510080 612887375 613057600 613402240 620545024 627596672 659111200 666601100 674363360 674742464 681472000 682026580 689216000 697048000 697241600 705164800 733261210 741799696 750229238 758137600 766322000 766752800 766965760 775681280 784495840 784713728 811110400 823889000 833251375 842954200 843428080 843662336 852533225 853249408 862945424 871552000 881456000 892221440 927249620 947672000 958441000 958707200 969601600 980619800 980892160 981443584 1013888000 1019974582 1053692750 1054285100 1054577920 1066561760 1078681780 1078981376 1091242528 1102745600 1115276800 1128263680 1159062025 1173217936 1186549958 1198384000 1212002000 1213020160 1225774750 1226115200 1226804480 1241090048 1255193344 1317856375 1318222400 1333202200 1348352225 1348726720 1349484928 1364053160 1378432000 1394096000 1410329600 1466522420 1483599392 1500458476 1516275200 1532644000 1533505600 1533931520 1551362560 1568991680 1569427456 1647778000 1666502750 1685908400 1686856160 1687324672 1705066450 1706498816 1725890848 1743104000 1762912000 1784442880 1833153025 1854499240 1875573095 1895344000 1916882000 1917414400 1939203200 1961239600 1961784320 1962887168 2027776000 2039949164 2107385500 2108570200 2109155840 2133123520 2157363560 2157962752 2182485056 2230553600 2318124050 2346435872 2373099916 2396768000 2424004000 2426040320 2451549500 2452230400 2453608960 2482180096 2510386688 2549936455 2635712750 2636444800 2666404400 2696704450 2697453440 2698969856 2728106320 2756864000 2788192000 2820659200 2933044840 2966374895 2967198784 3000916952 3032550400 3035018281 3065288000 3067011200 3102725120 3137983360 3295556000 3333005500 3371816800 3373712320 3374649344 3410132900 3412997632 3451781696 3486208000 3525824000 3666306050 3708998480 3751146190 3790688000 3833764000 3834828800 3878406400 3922479200 3923568640 3925774336 4055552000 4079898328 4126260809 4214771000 4217140400 4218311680 4262666125 4266247040 4314727120 4315925504 4364970112 4461107200 4636248100 4692871744 4746199832 4793536000 4848008000 4903099000 4904460800 4907217920 5020773376 5099872910 5271425500 5272889600 5332808800 5393408900 5394906880 5397939712 5456212640 5513728000 5576384000 5641318400 5795310125 5866089680 5932749790 5934397568 6001833904 6065100800 6070036562 6130576000 6134022400 6205450240 6275966720 6526024769 6591112000 6666011000 6741761125 6743633600 6747424640 6820265800 6825995264 6903563392 7051648000 7332612100 7417996960 7502292380 7581376000 7667528000 7669657600 7756812800 7844958400 7847137280 8159796656 8252521618 8429542000 8434280800 8436623360 8525332250 8532494080 8629454240 8631851008 8729940224 8922214400 9165765125 9272496200 9377865475 9385743488 9492399664 9587072000 9696016000 9806198000 9808921600 9814435840 10041546752 10199745820 10542851000 10545779200 10665617600 10786817800 10789813760 10795879424 10912425280 11152768000 11590620250 11732179360 11865499580 11868795136 12003667808 12130201600 12140073124 12261152000 12268044800 12410900480 12551933440 12749682275 13052049538 13182224000 13332022000 13483522250 13487267200 13494849280 13640531600 13651990528 13807126784 14103296000 14665224200 14831874475 14835993920 15004584760 15162752000 15175091405 15335056000 15513625600 15689916800 16319593312 16505043236 16859084000 16868561600 16873246720 17050664500 17064988160 17258908480 17263702016 17459880448 18331530250 18544992400 18755730950 18771486976 18984799328 19174144000 19392032000 19612396000 19617843200 19628871680 20083093504 20399491640 20631304045 21085702000 21091558400 21331235200 21573635600 21579627520 21591758848 21824850560 22305536000 23181240500 23464358720 23730999160 23737590272 24007335616 24280146248 24522304000 24536089600 25103866880 25499364550 26104099076 26364448000 26664044000 26967044500 26974534400 26989698560 27281063200 27303981056 27614253568 28206592000 29330448400 29663748950 29671987840 30009169520 30325504000 30350182810 30670112000 31027251200 31379833600 32630123845 32639186624 33010086472 33385201091 33718168000 33737123200 34101329000 34129976320 34517816960 34919760896 36663060500 37089984800 37511461900 37542973952 37969598656 38348288000 38784064000 39224792000 39235686400 40798983280 41262608090 42171404000 42183116800 42662470400 43147271200 43159255040 43183517696 43649701120 44611072000 45388868899 46362481000 46889327375 46928717440 47461998320 47475180544 48014671232 48560292496 49044608000 49072179200 50207733760 50998729100 52208198152 52728896000 53328088000 53934089000 53949068800 53979397120 54562126400 55228507136 58660896800 59327497900 59343975680 60018339040 60651008000 60700365620 61340224000 62054502400 62759667200 63748411375 65260247690 65278373248 66020172944 66770402182 67436336000 67474246400 68202658000 68259952640 69035633920 69839521792 73326121000 74159372375 74179969600 75022923800 75085947904 75875457025 75939197312 77568128000 78449584000 81597966560 82525216180 84342808000 84366233600 85324940800 86294542400 86318510080 87299402240 90777737798 92724962000 93778654750 93857434880 94923996640 94950361088 96029342464 97120584992 98089216000 98144358400 100415467520 101997458200 103156520225 104416396304 105457792000 106656176000 107868178000 107898137600 107958794240 109124252800 110457014272 117321793600 118654995800 118687951360 120036678080 121400731240 122680448000 125519334400 127496822750 130520495380 130556746496 132040345888 133540804364 134872672000 134948492800 136405316000 136519905280 138071267840 139679043584 146652242000 148318744750 148359939200 150045847600 150171895808 151750914050 151878394624 155136256000 156899168000 163150619225 163195933120 165050432360 166926005455 168685616000 170649881600 172589084800 174598804480 181555475596 185449924000 187557309500 187714869760 189847993280 189900722176 192058684928 194241169984 196178432000 203994916400 206313040450 208832792608 210915584000 213312352000 215736356000 215796275200 215917588480 218248505600 220914028544 226944344495 234643587200 237309991600 237375902720 240073356160 242801462480 245360896000 251038668800 254993645500 261040990760 261113492992 264080691776 267081608728 269745344000 269896985600 272810632000 276142535680 293304484000 296637489500 296719878400 300091695200 300343791616 303501828100 303756789248 310272512000 313798336000 326301238450 326391866240 330100864720 333852010910 337371232000 341299763200 345178169600 349197608960 363110951192 367237212001 370899848000 375114619000 375429739520 379377285125 379695986560 384117369856 388482339968 407989832800 412626080900 417665585216 421831168000 426624704000 431472712000 431592550400 436497011200 453888688990 469287174400 474619983200 474751805440 480146712320 485602924960 490721792000 502077337600 509987291000 515782601125 522081981520 522226985984 528161383552 534163217456 539490688000 539793971200 545621264000 552285071360 586608968000 593274979000 593439756800 600183390400 607003656200 607513578496 627596672000 652602476900 652783732480 660201729440 667704021820 674742464000 682599526400 690356339200 698395217920 726221902384 734474424002 741799696000 750229238000 750859479040 758754570250 759391973120 768234739712 776964679936 815753096125 815979665600 825252161800 834630027275 835331170432 853249408000 862945424000 872994022400 907777377980 938574348800 949239966400 949503610880 960293424640 971205849920 1019974582000 1031565202250 1044163963040 1044453971968 1056322767104 1068326434912 1078981376000 1079587942400 1091242528000 1104570142720 1134721722475 1173217936000 1186549958000 1186879513600 1200366780800 1214007312400 1215027156992 1255193344000 1305204953800 1305567464960 1320403458880 1335408043640 1349484928000 1380712678400 1452443804768 1468948848004 1483599392000 1500458476000 1501718958080 1517509140500 1518783946240 1536469479424 1553929359872 1631506192250 1631959331200 1650504323600 1669260054550 1670662340864 1706498816000 1725890848000 1745988044800 1815554755960 1836186060005 1877148697600 1898479932800 1920586849280 1942411699840 2039949164000 2063130404500 2088327926080 2088907943936 2112645534208 2136652869824 2157962752000 2182485056000 2269443444950 2346435872000 2373099916000 2373759027200 2400733561600 2428014624800 2430054313984 2510386688000 2610409907600 2611134929920 2640806917760 2670816087280 2698969856000 2761425356800 2904887609536 2937897696008 2967198784000 3000916952000 3035018281000 3037567892480 3107858719744 3263012384500 3263918662400 3301008647200 3338520109100 3341324681728 3412997632000 3451781696000 3491976089600 3631109511920 3672372120010 3754297395200 3796959865600 3841173698560 3884823399680 4039609332011 4079898328000 4126260809000 4173150136375 4176655852160 4225291068416 4273305739648 4364970112000 4538886889900 4692871744000 4746199832000 4747518054400 4801467123200 4856029249600 5220819815200 5222269859840 5281613835520 5341632174560 5397939712000 5522850713600 5673608612375 5809775219072 5875795392016 5934397568000 6001833904000 6070036562000 6075135784960 6215717439488 6526024769000 6527837324800 6602017294400 6677040218200 6682649363456 6903563392000 7262219023840 7344744240020 7508594790400 7593919731200 7682347397120 7769646799360 8079218664022 8159796656000 8252521618000 8346300272750 8353311704320 8450582136832 8546611479296 8729940224000 9077773779800 9180930300025 9385743488000 9492399664000 9602934246400 9712058499200 10441639630400 10444539719680 10563227671040 10683264349120 11347217224750 11619550438144 11751590784032 11868795136000 12003667808000 12140073124000 12150271569920 12431434878976 13052049538000 13055674649600 13204034588800 13354080436400 13365298726912 13807126784000 14524438047680 14689488480040 15187839462400 15539293598720 16158437328044 16319593312000 16505043236000 16692600545500 16706623408640 16901164273664 17093222958592 17459880448000 18155547559600 18361860600050 18771486976000 18984799328000 19205868492800 19424116998400 20198046660055 20883279260800 21126455342080 21366528698240 22694434449500 23239100876288 23503181568064 23737590272000 24007335616000 24280146248000 26104099076000 26111349299200 26408069177600 26708160872800 26730597453824 27614253568000 29048876095360 29378976960080 30375678924800 31078587197440 32316874656088 32639186624000 33010086472000 33385201091000 33413246817280 34186445917184 36311095119200 36723721200100 37542973952000 37969598656000 38411736985600 38848233996800 40396093320110 41766558521600 42252910684160 42733057396480 45388868899000 45904651500125 46478201752576 47006363136128 48014671232000 48560292496000 52208198152000 52222698598400 52816138355200 53416321745600 58097752190720 58757953920160 60751357849600 62157174394880 64633749312176 65278373248000 66020172944000 66770402182000 66826493634560 68372891834368 72622190238400 73447442400200 75939197312000 77696467993600 80792186640220 83533117043200 84505821368320 85466114792960 90777737798000 91809303000250 92956403505152 94012726272256 96029342464000 97120584992000 100990233300275 104416396304000 105632276710400 106832643491200 116195504381440 117515907840320 129267498624352 130556746496000 132040345888000 133540804364000 133652987269120 136745783668736 145244380476800 146894884800400 151878394624000 155392935987200 161584373280440 167066234086400 170932229585920 181555475596000 183618606000500 185912807010304 188025452544512 192058684928000 194241169984000 201980466600550 208832792608000 211264553420800 213665286982400 232391008762880 235031815680640 258534997248704 261113492992000 264080691776000 267081608728000 290488760953600 293789769600800 303756789248000 310785871974400 323168746560880 334132468172800 341864459171840 363110951192000 367237212001000 376050905089024 388482339968000 403960933201100 417665585216000 422529106841600 427330573964800 464782017525760 470063631361280 504951166501375 517069994497408 528161383552000 534163217456000 580977521907200 587579539201600 646337493121760 668264936345600 683728918343680 726221902384000 734474424002000 752101810178048 776964679936000 807921866402200 835331170432000 854661147929600 929564035051520 940127262722560 1009902333002750 1034139988994816 1056322767104000 1068326434912000 1161955043814400 1175159078403200 1292674986243520 1452443804768000 1468948848004000 1504203620356096 1553929359872000 1615843732804400 1670662340864000 1709322295859200 1880254525445120 2019804666005500 2068279977989632 2112645534208000 2136652869824000 2323910087628800 2350318156806400 2585349972487040 2904887609536000 2937897696008000 3231687465608800 3341324681728000 3418644591718400 3760509050890240 4039609332011000 4136559955979264 4273305739648000 4647820175257600 4700636313612800 5170699944974080 5809775219072000 5875795392016000 6463374931217600 7521018101780480 8079218664022000 8273119911958528 8546611479296000 9401272627225600 10341399889948160 11619550438144000 11751590784032000 12926749862435200 16158437328044000 16546239823917056 17093222958592000 18802545254451200 20682799779896320 23239100876288000 23503181568064000 25853499724870400 32316874656088000 37605090508902400 41365599559792640 47006363136128000 51706999449740800 64633749312176000 82731199119585280 94012726272256000 103413998899481600 129267498624352000 188025452544512000 206827997798963200 258534997248704000 413655995597926400 517069994497408000 1034139988994816000 2068279977989632000
- Sum of all divisors σ(n): 5751389800214102304
- Sum of proper divisors (its aliquot sum) s(n): 3683109822224470304
- 2068279977989632000 is an abundant number, because the sum of its proper divisors (3683109822224470304) is greater than itself. Its abundance is 1614829844234838304
Bases of 2068279977989632000
- Binary: 11100101101000000000110101110100010000001111111110000000000002
- Hexadecimal: 0x1CB401AE881FF000
- Base-36: FPP428UOHQF4
Squares and roots of 2068279977989632000
- 2068279977989632000 squared (20682799779896320002) is 4277782067352792630376299495424000000
- 2068279977989632000 cubed (20682799779896320003) is 8847651000108876415318941098125220347503443968000000000
-
The
square root of 2068279977989632000 is 1438151583.8011068297 -
The
cube root of 2068279977989632000 is 1274098.8075881255
Scales and comparisons
How big is 2068279977989632000?- 2,068,279,977,989,632,000 seconds is equal to 65,764,905,690 years, 2 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 2,068,279,977,989,632,000 would take you about two hundred thirty billion, one hundred seventy-seven million, one hundred sixty-nine thousand, nine 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 2068279977989632000 cubic inches would be around 106174.9 feet tall.
Recreational maths with 2068279977989632000
- 2068279977989632000 backwards is 0002369897799728602
- The number of decimal digits it has is: 19
- The sum of 2068279977989632000's digits is 94
- 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 2068279977989632000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 2068279977989632000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/2068279977989632000/
Chicago style:
Numbermatics. 2024. "Number 2068279977989632000 - Facts about the integer". https://numbermatics.com/n/2068279977989632000/
The information we have on file for 2068279977989632000 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 2068279977989632000, math, Factors of 2068279977989632000, curriculum, school, college, exams, university, Prime factorization of 2068279977989632000, STEM, science, technology, engineering, physics, economics, calculator, two quintillion, sixty-eight quadrillion, two hundred seventy-nine trillion, nine hundred seventy-seven billion, nine hundred eighty-nine million, six hundred thirty-two thousand.