39740121144562500
39,740,121,144,562,500 is an even composite number composed of six prime numbers multiplied together.
39740121144562500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 39740121144562500:
22 × 35 × 56 × 47 × 61 × 973
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 47 × 61 × 97 × 97 × 97)See below for interesting mathematical facts about the number 39740121144562500 from the Numbermatics database.
Names of 39740121144562500
- Cardinal: 39740121144562500 can be written as Thirty-nine quadrillion, seven hundred forty trillion, one hundred twenty-one billion, one hundred forty-four million, five hundred sixty-two thousand, five hundred.
Scientific notation
- Scientific notation: 3.97401211445625 × 1016
Factors of 39740121144562500
Divisors of 39740121144562500
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 47 50 54 60 61 75 81 90 94 97 100 108 122 125 135 141 150 162 180 183 188 194 225 235 243 244 250 270 282 291 300 305 324 366 375 388 405 423 450 470 485 486 500 540 549 564 582 610 625 675 705 732 750 810 846 873 900 915 940 970 972 1098 1125 1164 1175 1215 1220 1250 1269 1350 1410 1455 1500 1525 1620 1647 1692 1746 1830 1875 1940 2025 2115 2196 2250 2350 2425 2430 2500 2538 2619 2700 2745 2820 2867 2910 3050 3125 3294 3375 3492 3525 3660 3750 3807 4050 4230 4365 4500 4559 4575 4700 4850 4860 4941 5076 5238 5490 5625 5734 5820 5875 5917 6075 6100 6250 6345 6588 6750 7050 7275 7500 7614 7625 7857 8100 8235 8460 8601 8730 9118 9150 9375 9409 9700 9882 10125 10476 10575 10980 11250 11421 11468 11750 11834 12125 12150 12500 12690 13095 13500 13677 13725 14100 14335 14550 14823 15228 15250 15625 15714 16470 16875 17202 17460 17625 17751 18236 18300 18750 18818 19035 19764 20250 21150 21825 22500 22795 22842 22875 23500 23571 23668 24250 24300 24705 25380 25803 26190 27354 27450 28125 28227 28670 29100 29375 29585 29646 30375 30500 31250 31428 31725 32940 33750 34404 35250 35502 36375 37500 37636 38070 38125 39285 40500 41031 41175 42300 43005 43650 45590 45684 45750 46875 47045 47142 48500 49410 50625 51606 52380 52875 53253 54708 54900 56250 56454 57105 57340 58750 59170 59292 60625 60750 62500 63450 65475 67500 68385 68625 70500 71004 71675 72750 74115 76140 76250 77409 78570 82062 82350 84375 84681 86010 87300 88125 88755 91180 91500 93750 94090 94284 95175 98820 101250 103212 105750 106506 109125 112500 112908 113975 114210 114375 117500 117855 118340 121250 121500 123093 123525 126900 129015 130950 136770 137250 140625 141135 143350 145500 146875 147925 148230 151875 152500 154818 157140 158625 159759 164124 164700 168750 169362 172020 176250 177510 181875 187500 188180 190350 190625 196425 202500 205155 205875 211500 213012 215025 218250 227950 228420 228750 232227 235225 235710 242500 246186 247050 253125 254043 258030 261900 264375 266265 273540 274500 278099 281250 282270 285525 286700 293750 295850 296460 303125 303750 309636 317250 319518 327375 337500 338724 341925 343125 352500 355020 358375 363750 369279 370575 380700 381250 387045 392850 410310 411750 421875 423405 430050 436500 440625 442223 443775 455900 457500 464454 470450 471420 475875 479277 492372 494100 506250 508086 516060 528750 532530 545625 556198 562500 564540 569875 571050 571875 573949 587500 589275 591700 606250 607500 615465 617625 634500 639036 645075 654750 683850 686250 696681 705675 716750 727500 734375 738558 739625 741150 759375 762129 762500 774090 785700 793125 798795 820620 823500 834297 843750 846810 860100 881250 884446 887550 909375 912673 928908 940900 951750 953125 958554 982125 1012500 1016172 1025775 1029375 1057500 1065060 1075125 1091250 1107837 1112396 1139750 1142100 1143750 1147898 1161135 1176125 1178550 1212500 1230930 1235250 1265625 1270215 1290150 1309500 1321875 1326669 1331325 1367700 1372500 1390495 1393362 1411350 1427625 1433500 1437831 1468750 1477116 1479250 1482300 1515625 1518750 1524258 1548180 1586250 1597590 1636875 1668594 1687500 1693620 1709625 1715625 1721847 1762500 1768892 1775100 1791875 1818750 1825346 1846395 1852875 1903500 1906250 1917108 1935225 1964250 2051550 2058750 2117025 2150250 2182500 2203125 2211115 2215674 2218875 2279500 2286387 2287500 2295796 2322270 2352250 2357100 2379375 2396385 2461860 2470500 2502891 2531250 2540430 2580300 2643750 2653338 2662650 2728125 2738019 2780990 2786724 2822700 2849375 2855250 2859375 2869745 2875662 2937500 2946375 2958500 3031250 3037500 3048516 3077325 3088125 3172500 3195180 3225375 3273750 3337188 3419250 3431250 3443694 3483405 3528375 3583750 3637500 3650692 3692790 3698125 3705750 3796875 3810645 3812500 3870450 3928500 3965625 3980007 3993975 4103100 4117500 4171485 4234050 4300500 4406250 4422230 4431348 4437750 4546875 4563365 4572774 4644540 4704500 4758750 4792770 4910625 5005782 5062500 5080860 5128875 5146875 5165541 5287500 5306676 5325300 5375625 5456250 5476038 5539185 5561980 5698750 5710500 5718750 5739490 5751324 5805675 5880625 5892750 6062500 6154650 6176250 6351075 6450750 6547500 6609375 6633345 6656625 6838500 6862500 6887388 6952475 6966810 7056750 7138125 7167500 7189155 7385580 7396250 7411500 7508673 7593750 7621290 7740900 7931250 7960014 7987950 8184375 8214057 8342970 8468100 8548125 8578125 8609235 8812500 8844460 8875500 8959375 9093750 9126730 9145548 9231975 9264375 9517500 9585540 9676125 9821250 10011564 10257750 10293750 10331082 10585125 10751250 10912500 10952076 11055575 11078370 11094375 11397500 11431935 11437500 11478980 11611350 11761250 11785500 11896875 11940021 11981925 12309300 12352500 12514455 12702150 12901500 13218750 13266690 13313250 13640625 13690095 13904950 13933620 14113500 14246875 14276250 14348725 14378310 14731875 14792500 15017346 15187500 15242580 15386625 15440625 15496623 15862500 15920028 15975900 16126875 16368750 16428114 16685940 17096250 17156250 17218470 17417025 17641875 17918750 18187500 18253460 18463950 18490625 18528750 19053225 19352250 19642500 19828125 19900035 19969875 20515500 20587500 20662164 20857425 21170250 21502500 22111150 22156740 22188750 22526019 22816825 22863870 23222700 23522500 23793750 23880042 23963850 24553125 24642171 25028910 25404300 25644375 25734375 25827705 26437500 26533380 26626500 26878125 26975603 27281250 27380190 27695925 27809900 28493750 28552500 28697450 28756620 29028375 29403125 29463750 30034692 30773250 30881250 30993246 31755375 32253750 32737500 32856228 33166725 33283125 34192500 34312500 34436940 34762375 34834050 35283750 35690625 35820063 35837500 35945775 36927900 36981250 37057500 37543365 38106450 38704500 39656250 39800070 39939750 40921875 41070285 41714850 42340500 42740625 42895631 43046175 44222300 44377500 44796875 45052038 45633650 45727740 46159875 46321875 46489869 47587500 47760084 47927700 48380625 49106250 49284342 50057820 51288750 51468750 51655410 52925625 53756250 53951206 54562500 54760380 55277875 55391850 55471875 55673053 56987500 57159675 57394900 58056750 58806250 58927500 59484375 59700105 59909625 61546500 61762500 61986492 62572275 63510750 64507500 66333450 66566250 67578057 68450475 69524750 69668100 70567500 71234375 71381250 71640126 71743625 71891550 73659375 73926513 73962500 75086730 76212900 76933125 77203125 77483115 79312500 79600140 79879500 80634375 80926809 81843750 82140570 83429700 85481250 85791262 86092350 87085125 88209375 89593750 90104076 91267300 92319750 92453125 92643750 92979738 95266125 96761250 98212500 98568684 99500175 99849375 102577500 102937500 103310820 104287125 105851250 107460189 107512500 107902412 110555750 110783700 110943750 111346106 112630095 114084125 114319350 116113500 117612500 118968750 119400210 119819250 122765625 123210855 125144550 127021500 128221875 128686893 129138525 132666900 133132500 134390625 134878015 135156114 136900950 138479625 139049500 139469607 142468750 142762500 143280252 143487250 143783100 145141875 147015625 147318750 147853026 150173460 153866250 154406250 154966230 158776875 161268750 161853618 163687500 164281140 165833625 166415625 167019159 170962500 171582524 172184700 173811875 174170250 176418750 178453125 179100315 179187500 179728875 184639500 184906250 185287500 185959476 187716825 190532250 193522500 199000350 199698750 205351425 208574250 211702500 213703125 214478155 214920378 215230875 221111500 221779539 221887500 222692212 225260190 228168250 228638700 230799375 231609375 232449345 237937500 238800420 239638500 241903125 242780427 245531250 246421710 250289100 256443750 257373786 258277050 264628125 268781250 269756030 270312228 273801900 276389375 276959250 277359375 278365265 278939214 284937500 285798375 286974500 290283750 294031250 294637500 295706052 298500525 299548125 307732500 308812500 309932460 312861375 317553750 322537500 323707236 331667250 332831250 334038318 337890285 342252375 347623750 348340500 352837500 356906250 358200630 358718125 359457750 368296875 369632565 369812500 375433650 381064500 384665625 386060679 387415575 398000700 399397500 403171875 404634045 410702850 417148500 427406250 428956310 429840756 430461750 435425625 441046875 443559078 450520380 456336500 461598750 463218750 464898690 476330625 483806250 485560854 491062500 492843420 497500875 499246875 501057477 512887500 514747572 516554100 521435625 529256250 537300945 537562500 539512060 552778750 553918500 554718750 556730530 557878428 563150475 570420625 571596750 580567500 588062500 597001050 599096250 616054275 625722750 635107500 641109375 643434465 645692625 663334500 665662500 668076636 674390075 675780570 684504750 692398125 695247500 697348035 713812500 716401260 717436250 718915500 725709375 728341281 736593750 739265130 750867300 769331250 772121358 774831150 793884375 806343750 809268090 821405700 829168125 832078125 835095795 854812500 857912620 860923500 869059375 870851250 882093750 887118156 895501575 898644375 923197500 926437500 929797380 938584125 952661250 967612500 971121708 995001750 998493750 1002114954 1026757125 1042871250 1058512500 1072390775 1074601890 1076154375 1105557500 1108897695 1109437500 1113461060 1126300950 1140841250 1143193500 1153996875 1158182037 1162246725 1194002100 1198192500 1209515625 1213902135 1232108550 1251445500 1282218750 1286868930 1291385250 1323140625 1348780150 1351561140 1369009500 1381946875 1384796250 1391826325 1394696070 1428991875 1434872500 1451418750 1456682562 1473187500 1478530260 1492502625 1497740625 1503172431 1538662500 1544242716 1549662300 1564306875 1587768750 1612687500 1618536180 1658336250 1664156250 1670191590 1689451425 1711261875 1738118750 1741702500 1764187500 1791003150 1793590625 1797288750 1848162825 1877168250 1905322500 1923328125 1930303395 1937077875 1990003500 1996987500 2004229908 2023170225 2053514250 2085742500 2144781550 2149203780 2152308750 2177128125 2185023843 2217795390 2252601900 2281682500 2307993750 2316364074 2324493450 2381653125 2419031250 2427804270 2464217100 2487504375 2496234375 2505287385 2564437500 2573737860 2582770500 2607178125 2616633491 2646281250 2686504725 2697560300 2763893750 2769592500 2783652650 2789392140 2815752375 2852103125 2857983750 2902837500 2913365124 2985005250 2995481250 3006344862 3080271375 3128613750 3175537500 3217172325 3228463125 3316672500 3328312500 3340383180 3371950375 3378902850 3422523750 3461990625 3474546111 3476237500 3486740175 3582006300 3587181250 3594577500 3628546875 3641706405 3696325650 3754336500 3846656250 3860606790 3874155750 3969421875 4046340450 4107028500 4145840625 4175478975 4289563100 4304617500 4345296875 4354256250 4370047686 4435590780 4477507875 4493221875 4509517293 4615987500 4632728148 4648986900 4692920625 4763306250 4838062500 4855608540 4975008750 4992468750 5010574770 5133785625 5214356250 5233266982 5292562500 5361953875 5373009450 5380771875 5527787500 5544488475 5567305300 5631504750 5704206250 5715967500 5769984375 5790910185 5811233625 5970010500 5990962500 6012689724 6069510675 6160542750 6257227500 6434344650 6456926250 6555071529 6743900750 6757805700 6845047500 6909734375 6923981250 6949092222 6959131625 6973480350 7144959375 7174362500 7257093750 7283412810 7392651300 7462513125 7488703125 7515862155 7693312500 7721213580 7748311500 7821534375 7849900473 7938843750 8092680900 8291681250 8350957950 8447257125 8556309375 8690593750 8708512500 8740095372 8955015750 8967953125 8986443750 9019034586 9240814125 9385841250 9526612500 9651516975 9685389375 9950017500 9984937500 10021149540 10115851125 10267571250 10423638333 10428712500 10466533964 10723907750 10746018900 10761543750 10885640625 10925119215 11088976950 11263009500 11408412500 11539968750 11581820370 11622467250 11908265625 12139021350 12321085500 12437521875 12526436925 12868689300 12913852500 13035890625 13083167455 13110143058 13432523625 13487801500 13528551879 13819468750 13847962500 13898184444 13918263250 13946960700 14078761875 14260515625 14289918750 14514187500 14566825620 14925026250 14977406250 15031724310 15401356875 15643068750 15699800946 15877687500 16085861625 16142315625 16583362500 16701915900 16859751875 16894514250 17112618750 17309953125 17372730555 17381187500 17433700875 17910031500 17935906250 17972887500 18038069172 18208532025 18481628250 18771682500 19303033950 19370778750 20231702250 20535142500 20729203125 20847276666 20877394875 21447815500 21523087500 21771281250 21850238430 22177953900 22387539375 22466109375 22547586465 23079937500 23163640740 23244934500 23464603125 23549701419 23816531250 24278042700 24875043750 25052873850 25668928125 26071781250 26166334910 26220286116 26809769375 26865047250 26903859375 27057103758 27638937500 27722442375 27836526500 28157523750 28521031250 28579837500 28954550925 29056168125 29850052500 29954812500 30063448620 30347553375 30802713750 31286137500 31399601892 32171723250 32284631250 32775357645 33719503750 33789028500 34225237500 34619906250 34745461110 34795658125 34867401750 35724796875 35871812500 36417064050 36963256500 37312565625 37579310775 38606067900 38741557500 39107671875 39249502365 40463404500 41458406250 41694553332 41754789750 42236285625 42781546875 43542562500 43700476860 44775078750 44932218750 45095172930 46204070625 46929206250 47099402838 47633062500 48257584875 48426946875 49750087500 50105747700 50579255625 51337856250 52118191665 52143562500 52332669820 53619538750 53730094500 53807718750 54114207516 54625596075 55444884750 56315047500 57042062500 57909101850 58112336250 60695106750 61605427500 62187609375 62632184625 64343446500 64569262500 65415837275 65550715290 67162618125 67439007500 67642759395 69239812500 69490922220 69591316250 69734803500 70393809375 70649104257 71449593750 72834128100 74625131250 75158621550 77006784375 78215343750 78499004730 80429308125 80711578125 82916812500 83509579500 84298759375 84472571250 85563093750 86863652775 87168504375 89550157500 89864437500 90190345860 91042660125 92408141250 93858412500 94198805676 96515169750 96853893750 101158511250 102675712500 104236383330 104386974375 107239077500 107615437500 109251192150 110889769500 111937696875 112737932325 115818203700 116224672500 117323015625 117748507095 121390213500 124375218750 125264369250 128344640625 130831674550 131101430580 134048846875 134325236250 135285518790 138612211875 139182632500 140787618750 141298208514 142899187500 144772754625 145280840625 149250262500 150317243100 151737766875 154013568750 156430687500 156998009460 160858616250 161423156250 163876788225 168597518750 168945142500 171126187500 173727305550 173978290625 174337008750 182085320250 184816282500 186562828125 187896553875 193030339500 193707787500 196247511825 202317022500 208472766660 208773948750 211181428125 211947312771 218502384300 223875393750 225475864650 231020353125 234646031250 235497014190 241287924375 242134734375 248750437500 250528738500 252896278125 256689281250 260590958325 261663349100 268097693750 268650472500 270571037580 273127980375 277224423750 281575237500 282596417028 289545509250 290561681250 303475533750 308027137500 313160923125 321717232500 322846312500 327079186375 327753576450 335813090625 337195037500 338213796975 347454611100 347956581250 348674017500 351969046875 353245521285 364170640500 373125656250 375793107750 385033921875 392495023650 402146540625 417547897500 421493796875 422362856250 423894625542 434318263875 435842521875 447750787500 450951729300 455213300625 462040706250 469292062500 470994028380 482575848750 484269468750 505792556250 513378562500 521181916650 521934871875 536195387500 546255960750 554448847500 559688484375 563689661625 579091018500 581123362500 588742535475 606951067500 626321846250 635841938313 654158372750 655507152900 670244234375 671626181250 676427593950 693061059375 695913162500 703938093750 706491042570 723863773125 726404203125 746251312500 751586215500 758688834375 770067843750 784990047300 804293081250 819383941125 842987593750 844725712500 847789251084 868636527750 869891453125 871685043750 910426601250 924081412500 939482769375 965151697500 968538937500 981237559125 1011585112500 1042363833300 1043869743750 1055907140625 1059736563855 1092511921500 1119376968750 1127379323250 1155101765625 1177485070950 1206439621875 1252643692500 1264481390625 1271683876626 1302954791625 1308316745500 1340488468750 1343252362500 1352855187900 1365639901875 1386122118750 1407876187500 1412982085140 1447727546250 1452808406250 1517377668750 1540135687500 1565804615625 1608586162500 1635395931875 1638767882250 1679065453125 1685975187500 1691068984875 1737273055500 1739782906250 1743370087500 1766227606425 1820853202500 1878965538750 1962475118250 2010732703125 2087739487500 2111814281250 2119473127710 2171591319375 2179212609375 2238753937500 2254758646500 2276066503125 2310203531250 2354970141900 2412879243750 2528962781250 2543367753252 2605909583250 2609674359375 2680976937500 2731279803750 2772244237500 2818448308125 2895455092500 2905616812500 2943712677375 3034755337500 3131609231250 3179209691565 3270791863750 3277535764500 3358130906250 3382137969750 3465305296875 3479565812500 3532455212850 3619318865625 3757931077500 3793444171875 3924950236500 4021465406250 4096919705625 4223628562500 4238946255420 4343182638750 4358425218750 4552133006250 4620407062500 4697413846875 4825758487500 4906187795625 5057925562500 5211819166500 5219348718750 5298682819275 5462559607500 5636896616250 5887425354750 6032198109375 6263218462500 6358419383130 6514773958125 6541583727500 6716261812500 6764275939500 6828199509375 6930610593750 7064910425700 7238637731250 7586888343750 7829023078125 8042930812500 8176979659375 8193839411250 8455344924375 8686365277500 8716850437500 8831138032125 9104266012500 9394827693750 9812375591250 10438697437500 10597365638550 10857956596875 11273793232500 11380332515625 11774850709500 12064396218750 12716838766260 13029547916250 13656399018750 13861221187500 14092241540625 14477275462500 14718563386875 15173776687500 15658046156250 15896048457825 16353959318750 16387678822500 16910689848750 17662276064250 18096594328125 18789655387500 19624751182500 20484598528125 21194731277100 21715913193750 22760665031250 23487069234375 24128792437500 24530938978125 26059095832500 26493414096375 27312798037500 28184483081250 29437126773750 31316092312500 31792096915650 32573869790625 32707918637500 33821379697500 34140997546875 35324552128500 36193188656250 40884898296875 40969197056250 42276724621875 43431826387500 44155690160625 45521330062500 46974138468750 49061877956250 52986828192750 54289782984375 56368966162500 58874253547500 63584193831300 65147739581250 68281995093750 70461207703125 72386377312500 73592816934375 79480242289125 81769796593750 81938394112500 84553449243750 88311380321250 93948276937500 98123755912500 102422992640625 105973656385500 108579565968750 122654694890625 130295479162500 132467070481875 136563990187500 140922415406250 147185633868750 158960484578250 162869348953125 163539593187500 169106898487500 176622760642500 204845985281250 211383623109375 217159131937500 220778450803125 245309389781250 264934140963750 281844830812500 294371267737500 317920969156500 325738697906250 367964084671875 397401211445625 409691970562500 422767246218750 441556901606250 490618779562500 529868281927500 651477395812500 662335352409375 735928169343750 794802422891250 845534492437500 883113803212500 1103892254015625 1324670704818750 1471856338687500 1589604845782500 1987006057228125 2207784508031250 2649341409637500 3311676762046875 3974012114456250 4415569016062500 6623353524093750 7948024228912500 9935030286140625 13246707048187500 19870060572281250 39740121144562500
- Sum of all divisors σ(n): 136575415262307840
- Sum of proper divisors (its aliquot sum) s(n): 96835294117745340
- 39740121144562500 is an abundant number, because the sum of its proper divisors (96835294117745340) is greater than itself. Its abundance is 57095172973182840
Bases of 39740121144562500
- Binary: 100011010010111101101101111111000010011100010011010001002
- Hexadecimal: 0x8D2F6DFC271344
- Base-36: AVAP3MDY890
Squares and roots of 39740121144562500
- 39740121144562500 squared (397401211445625002) is 1579277228584503505023316406250000
- 39740121144562500 cubed (397401211445625003) is 62760668384797092371797989750593334228515625000000
-
The
square root of 39740121144562500 is 199349244.1534767895 -
The
cube root of 39740121144562500 is 341252.9352192887
Scales and comparisons
How big is 39740121144562500?- 39,740,121,144,562,500 seconds is equal to 1,263,612,928 years, 6 weeks, 5 days, 20 hours, 15 minutes.
-
To count from 1 to 39,740,121,144,562,500 would take you about three billion, seven hundred ninety million, eight hundred thirty-eight thousand, seven hundred eighty-four 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 39740121144562500 cubic inches would be around 28437.7 feet tall.
Recreational maths with 39740121144562500
- 39740121144562500 backwards is 00526544112104793
- 39740121144562500 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 39740121144562500'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 39740121144562500 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 39740121144562500 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/39740121144562500/
Chicago style:
Numbermatics. 2024. "Number 39740121144562500 - Facts about the integer". https://numbermatics.com/n/39740121144562500/
The information we have on file for 39740121144562500 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 39740121144562500, math, Factors of 39740121144562500, curriculum, school, college, exams, university, Prime factorization of 39740121144562500, STEM, science, technology, engineering, physics, economics, calculator, thirty-nine quadrillion, seven hundred forty trillion, one hundred twenty-one billion, one hundred forty-four million, five hundred sixty-two thousand, five hundred.