1132700199022500
1,132,700,199,022,500 is an even composite number composed of eight prime numbers multiplied together.
1132700199022500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 1132700199022500:
22 × 3 × 54 × 29 × 31 × 372 × 412 × 73
(2 × 2 × 3 × 5 × 5 × 5 × 5 × 29 × 31 × 37 × 37 × 41 × 41 × 73)See below for interesting mathematical facts about the number 1132700199022500 from the Numbermatics database.
Names of 1132700199022500
- Cardinal: 1132700199022500 can be written as One quadrillion, one hundred thirty-two trillion, seven hundred billion, one hundred ninety-nine million, twenty-two thousand, five hundred.
Scientific notation
- Scientific notation: 1.1327001990225 × 1015
Factors of 1132700199022500
Divisors of 1132700199022500
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 10 12 15 20 25 29 30 31 37 41 50 58 60 62 73 74 75 82 87 93 100 111 116 123 124 125 145 146 148 150 155 164 174 185 186 205 219 222 246 250 290 292 300 310 348 365 370 372 375 410 435 438 444 465 492 500 555 580 615 620 625 725 730 740 750 775 820 870 876 899 925 930 1025 1073 1095 1110 1147 1189 1230 1250 1271 1369 1450 1460 1500 1517 1550 1681 1740 1798 1825 1850 1860 1875 2050 2117 2146 2175 2190 2220 2263 2294 2325 2378 2460 2500 2542 2697 2701 2738 2775 2900 2993 3034 3075 3100 3219 3362 3441 3567 3596 3625 3650 3700 3750 3813 3875 4100 4107 4234 4292 4350 4380 4495 4526 4551 4588 4625 4650 4756 5043 5084 5125 5365 5394 5402 5475 5476 5550 5735 5945 5986 6068 6150 6351 6355 6438 6724 6789 6845 6882 7134 7250 7300 7500 7585 7626 7750 8103 8214 8405 8468 8700 8979 8990 9052 9102 9125 9250 9300 10086 10250 10585 10730 10788 10804 10875 10950 11100 11315 11470 11625 11890 11972 12300 12702 12710 12876 13485 13505 13578 13690 13764 13875 14268 14500 14965 15170 15252 15375 15500 16095 16206 16428 16810 17205 17835 17958 17980 18125 18204 18250 18500 19065 19375 20172 20500 20535 21170 21460 21750 21900 22475 22630 22755 22940 23125 23250 23780 25215 25404 25420 25625 26825 26970 27010 27156 27375 27380 27750 28675 29725 29930 30340 30750 31755 31775 32190 32412 33263 33620 33945 34225 34410 35670 35916 36250 36500 36859 37925 38130 38750 39701 40515 41070 42025 42340 42439 43500 43993 44895 44950 45260 45510 45625 46250 46500 47027 48749 50430 51250 52111 52925 53650 53940 54020 54375 54750 55500 56129 56575 57350 58125 59450 59860 61500 62197 63510 63550 64380 65627 66526 67425 67525 67890 68450 68820 69375 71340 72500 73718 74825 75850 76260 76875 77500 78329 79402 80475 81030 82140 83731 84050 84878 86025 86797 87986 89175 89790 89900 91020 91250 92500 92783 94054 95325 97498 99789 99937 100860 102500 102675 104222 105850 107300 108750 109500 110577 110741 112258 112375 113150 113775 114700 116250 118900 119103 122713 124394 126075 127020 127100 127317 131254 131979 133052 134125 134850 135050 135780 136875 136900 138750 141081 143375 146247 147436 148625 149650 151700 153750 156333 156658 158775 158804 158875 160950 162060 166315 167462 168100 168387 169725 169756 171125 172050 173594 175972 178350 179580 182500 184295 185566 186591 188108 189625 190650 194996 196881 198505 199578 199874 202575 205350 208444 210125 211700 212195 217500 219965 221154 221482 224475 224516 224750 226300 227550 232500 234987 235135 238206 243745 245426 248788 251193 252150 254634 260391 260555 262508 263958 264625 268250 269700 270100 273750 277500 278349 280645 282162 282875 286750 292494 297250 299300 299811 307500 310985 312666 313316 317550 317750 321900 328135 332223 332630 334924 336774 337125 337625 339450 342250 344100 347188 356700 368139 368590 371132 373182 374125 379250 381300 391645 393762 397010 399156 399748 402375 405150 410700 418655 420250 424390 430125 433985 439930 442308 442964 445875 448950 449500 455100 463915 469974 470270 476412 476625 487490 490852 498945 499685 502386 504300 509268 513375 520782 521110 527916 529250 536500 547500 552885 553705 556698 561290 561875 564324 565750 568875 573500 584988 594500 595515 599622 613565 621970 625332 630375 635100 635500 636585 656270 659895 664446 665260 670625 673548 674250 675250 678900 684500 705405 716875 731235 736278 737180 743125 746364 748250 758500 781665 783290 787524 793875 794020 794375 804750 810300 831575 837310 840500 841935 848625 848780 855625 860250 867970 879860 891750 897900 921475 927830 932955 939948 940540 948125 953250 974980 984405 992525 997890 999370 1004772 1012875 1026750 1041564 1042220 1050625 1058500 1060975 1099825 1105770 1107410 1113396 1122375 1122580 1123750 1131500 1137750 1174935 1175675 1191030 1199244 1218725 1227130 1230731 1243940 1255965 1260750 1273170 1301955 1302775 1312540 1319790 1323125 1328892 1341250 1348500 1350500 1363783 1391745 1403225 1410810 1414375 1433750 1462470 1472556 1486250 1496500 1499055 1511219 1554925 1563330 1566580 1587750 1588750 1609500 1627741 1640675 1661115 1663150 1674620 1683870 1685625 1688125 1697250 1711250 1720500 1735940 1739999 1783500 1803713 1840695 1842950 1855660 1865910 1870625 1896250 1906500 1928107 1958225 1968810 1985050 1995780 1998740 2011875 2025750 2053500 2093275 2101250 2121950 2150625 2169925 2199650 2211540 2214820 2229375 2244750 2247500 2275500 2301289 2319575 2349870 2351350 2382060 2383125 2428199 2437450 2454260 2461462 2494725 2498425 2511930 2521500 2546340 2566875 2603910 2605550 2639580 2646250 2682500 2690707 2727566 2764425 2768525 2783490 2806450 2821620 2828750 2844375 2867500 2898173 2924940 2972500 2977575 2998110 3022438 3067825 3098047 3109850 3126660 3151875 3175500 3177500 3182925 3211489 3255482 3281350 3299475 3322230 3326300 3367740 3371250 3376250 3394500 3422500 3432971 3479998 3527025 3558677 3607426 3656175 3681390 3685900 3692193 3731820 3741250 3792500 3804103 3856214 3908325 3916450 3937620 3969375 3970100 4023750 4051500 4091349 4097417 4157875 4186550 4202500 4209675 4243125 4243900 4301250 4339850 4399300 4458750 4489500 4533657 4540381 4602578 4607375 4639150 4664775 4699740 4702700 4766250 4856398 4874900 4883223 4922025 4922924 4962625 4989450 4996850 5023860 5064375 5133750 5207820 5211100 5219997 5292500 5304875 5381414 5411139 5455132 5499125 5528850 5537050 5566980 5611875 5612900 5657500 5688750 5784321 5796346 5874675 5878375 5955150 5996220 6044876 6093625 6135650 6153655 6196094 6219700 6279825 6303750 6365850 6422978 6509775 6510964 6513875 6562700 6598950 6644460 6742500 6752500 6818915 6865942 6903867 6958725 6959996 7016125 7054050 7117354 7214852 7284597 7312350 7362780 7384386 7482500 7495275 7556095 7608206 7712428 7774625 7816650 7832900 7938750 8047500 8072121 8138705 8182698 8194834 8203375 8305575 8315750 8373100 8419350 8486250 8602500 8679700 8694519 8699995 8917500 9018565 9067314 9080762 9203475 9205156 9214750 9278300 9294141 9329550 9532500 9634467 9640535 9712796 9766446 9791125 9844050 9925250 9978900 9993700 10128750 10267500 10298913 10439994 10466375 10609750 10676031 10762828 10822278 10849625 10998250 11057700 11074100 11223750 11377500 11412309 11506445 11568642 11592692 11597875 11749350 11756750 11910300 12140995 12187250 12271300 12292251 12307310 12392188 12473625 12492125 12559650 12607500 12731700 12845956 13019550 13027750 13197900 13453535 13621143 13637830 13731884 13807734 13822125 13842625 13917450 14032250 14108100 14234708 14490865 14569194 14624700 14768772 14887875 14990550 15112190 15216412 15339125 15490235 15549250 15633300 15877500 15914625 16057445 16144242 16277410 16365396 16389668 16406750 16497375 16611150 16631500 16838700 16972500 17164855 17389038 17399990 17635125 17793385 18037130 18134628 18161524 18280875 18406950 18429500 18460965 18588282 18659100 19020515 19268934 19281070 19532892 19541625 19582250 19688100 19850500 20257500 20456745 20487085 20597826 20789375 20879988 20932750 21048375 21219500 21352062 21644556 21699250 21996500 22447500 22668285 22701905 22824618 23012890 23036875 23137284 23195750 23323875 23498700 23513500 24281990 24374500 24416115 24584502 24610125 24614620 24813125 24947250 24984250 25119300 26039100 26055500 26099985 26524375 26907070 27055695 27242286 27275660 27495625 27615468 27644250 27685250 27834900 28064500 28921605 28981730 29138388 29373375 29391875 29775750 29981100 30224380 30468125 30678250 30768275 30980470 31098500 31399125 31829250 32114890 32288484 32548875 32554820 32569375 32813500 32994750 33222300 34094575 34329710 34519335 34778076 34793625 34799980 35080625 35270250 35586770 36074260 36422985 36561750 36813900 36921930 37176564 37476375 37780475 38041030 38537868 38562140 38873125 39083250 39164500 40360605 40693525 40913490 40974170 41016875 41195652 41527875 41578750 41865500 42096750 42704124 43398500 43472595 43499975 45092825 45336570 45403810 45649236 46017375 46025780 46073750 46391500 46470705 46647750 48172335 48202675 48563980 48832230 48955625 49169004 49220250 49626250 49894500 49968500 50459971 51494565 52199970 52331875 53048750 53380155 53814140 54111390 54248125 54484572 54991250 55288500 55370500 55915103 57061545 57532225 57843210 57963460 57989375 58746750 58783750 59551500 60704975 60936250 61356500 61461255 61536550 61960940 62368125 62460625 62798250 63658500 64229780 65097750 65138750 65989500 66737381 67267675 68105715 68189150 68659420 69038670 69110625 69213125 69587250 70161250 70540500 71173540 71339959 72454325 72845970 73123500 73843860 74439375 74952750 75560950 76082060 76695625 77451175 77746250 78166500 79573125 80287225 80721210 81387050 81826980 81948340 82033750 82486875 83055750 83157500 84193500 85824275 86945190 86999950 88175625 88966925 89843363 90185650 90673140 90807620 91404375 92034750 92147500 92304825 92941410 93295500 95102575 96344670 96405350 97664460 97708125 97911250 98440500 99252500 99556159 100919942 102283725 102435425 102989130 104399940 104663750 105241875 106097500 106760310 108222780 108496250 109982500 110318987 111830206 113341425 113509525 114123090 115064450 115686420 115978750 116619375 117493500 117567500 118825093 121409950 121872500 122080575 122922510 123050625 123073100 124736250 124921250 125596500 127019927 130195500 130277500 130499925 131671049 133474762 134535350 135278475 136211430 136378300 138077340 138221250 138426250 139174500 140322500 140751811 142679918 144608025 144908650 145691940 146866875 148878750 149905500 151121900 151379913 153391250 153841375 154902350 155492500 156995625 159146250 160574450 161442420 162744375 162774100 164067500 164973750 166111500 167745309 167994097 170472875 171648550 172596675 173890380 173968125 173999900 176351250 177933850 179686726 180371300 182114925 182808750 184069500 184609650 185882820 187381875 188902375 190205150 192689340 192810700 195416250 195822500 199112318 200212143 201803025 201839884 203467625 204567450 204870850 205978260 207639375 209327500 210483750 213520620 214019877 216992500 217362975 217499875 220637974 223660412 225464125 226682850 227019050 228246180 230086875 230128900 231957500 232353525 233238750 237650186 240861675 241013375 242819900 244161150 245845020 246101250 249472500 249842500 252299855 254039854 257472825 260999850 263342098 266900775 266949524 269070700 269530089 270556950 272422860 276442500 276852500 279575515 281503622 285307725 285359836 287661125 289216050 289817300 293733750 297757500 298668477 302759826 303524875 306782500 307306275 307682750 309804700 313991250 318292500 321148900 325488750 329947500 330956961 333686905 335490618 335988194 336338375 340528575 340945750 343297100 345193350 347936250 352702500 355867700 356475279 356699795 359373452 362271625 364229850 365617500 369219300 374763750 377804750 380410300 381059781 387255875 390832500 395013147 398224636 400424286 401436125 403606050 406935250 409134900 409741700 415278750 420967500 422255433 428039754 429121375 434725950 434999750 441275948 444834625 449216815 450928250 453365700 454038100 460173750 461524125 464707050 466477500 475300372 475512875 481723350 482026750 488322300 492202500 497780795 503982291 504599710 508079708 511418625 512177125 514945650 521999700 526684196 533801550 539060178 541113900 551594935 559151030 563007244 566707125 567547625 570615450 575322250 578432100 587467500 594125465 597336954 605519652 607049750 610402875 614612550 615365500 627982500 635099635 650977500 652499625 658355245 661913922 667373810 670981236 671976388 672676750 676392375 681057150 681891500 690386700 695872500 703759055 712950558 713399590 723040125 724543250 728459700 749527500 755609500 756899565 762119562 769206875 774511750 790026294 800848572 802872250 807212100 813870500 830557500 838726545 839970485 844510866 852364375 856079508 858242750 862983375 869451900 869999500 889669250 898433630 901856500 910574625 920347500 923048250 929414100 944511875 951025750 963446700 964053500 995561590 1001060715 1007964582 1009015125 1009199420 1017338125 1022837250 1024354250 1029891300 1067603100 1070099385 1078120356 1086814875 1087499375 1103189870 1118302060 1127320625 1133414250 1135095250 1141230900 1150644500 1161767625 1188250930 1194673908 1204308375 1205066875 1214099500 1220805750 1229225100 1261499275 1270199270 1287364125 1304999250 1316710490 1323827844 1334503875 1334747620 1345353500 1347650445 1352784750 1362114300 1397877575 1407518110 1425901116 1426538625 1426799180 1438305625 1446080250 1449086500 1493342385 1513799130 1517624375 1524239124 1536531375 1538413750 1549023500 1580052588 1605744500 1654784805 1668434525 1677453090 1679940970 1681691875 1689021732 1702642875 1704728750 1716485500 1725966750 1779338500 1782376395 1783498975 1796867260 1811358125 1821149250 1846096500 1889023750 1902051500 1905298905 1936279375 1975065735 1991123180 2002121430 2007180625 2015929164 2018030250 2034676250 2045674500 2048708500 2068858811 2111277165 2140198770 2145606875 2173629750 2174998750 2206379740 2224173125 2246084075 2254641250 2266828500 2270190500 2307620625 2323535250 2376501860 2377564375 2408616750 2410133750 2441611500 2488903975 2519911455 2522998550 2540398540 2557093125 2560885625 2574728250 2609998500 2633420980 2669007750 2695300890 2705569500 2757974675 2795755150 2815036220 2833535625 2837738125 2853077250 2876611250 2892160500 2970627325 2986684770 3027598260 3035248750 3052014375 3073062750 3076827500 3175498175 3262498125 3291776225 3309569610 3336869050 3354906180 3359881940 3363383750 3381961875 3405285750 3409457500 3451933500 3518795275 3564752790 3566997950 3615200625 3622716250 3642298500 3683577883 3778047500 3784497825 3810597810 3872558750 3950131470 4004242860 4014361250 4036060500 4069352500 4081802519 4137717622 4193632725 4199852425 4222554330 4280397540 4291213750 4314916875 4347259500 4349997500 4448346250 4492168150 4509282500 4552873125 4615241250 4647070500 4755128750 4817233500 4820267500 4871828813 4977807950 5005303575 5039822910 5045075625 5045997100 5114186250 5121771250 5149456500 5207817007 5338015500 5350496925 5390601780 5434074375 5515949350 5591510300 5667071250 5675476250 5706154500 5753222500 5808838125 5941254650 5973369540 6021541875 6070497500 6104028750 6146125500 6206576433 6307496375 6350996350 6436820625 6524996250 6583552450 6619139220 6672519375 6673738100 6726767500 6738252225 6763923750 6810571500 6989387875 7037590550 7129505580 7132693125 7133995900 7230401250 7245432500 7367155766 7466711925 7568995650 7621195620 7682656875 7745117500 7900262940 8028722500 8163605038 8273924025 8275435244 8342172625 8387265450 8399704850 8445108660 8513214375 8582427500 8629833750 8896692500 8911881975 8917494875 8984336300 9105746250 9230482500 9510257500 9526494525 9743657626 9875328675 9955615900 10010607150 10079645820 10090151250 10228372500 10243542500 10344294055 10415634014 10556385825 10700993850 10868148750 11031898700 11050733649 11230420375 11334142500 11350952500 11617676250 11882509300 12043083750 12208057500 12245407557 12413152866 12444519875 12599557275 12614992750 12701992700 12873641250 13049992500 13167104900 13345038750 13476504450 13527847500 13789873375 13978775750 14075181100 14265386250 14460802500 14615486439 14734311532 14853136625 14933423850 15137991300 15365313750 15623451021 15877490875 16327210076 16458881125 16547848050 16684345250 16774530900 16799409700 17026428750 17259667500 17593976375 17823763950 17834989750 18211492500 18417889415 18922489125 19052989050 19487315252 19750657350 20021214300 20180302500 20409012595 20688588110 20831268028 20968163625 20999262125 21112771650 21401987700 21736297500 22101467298 22460840750 23235352500 24086167500 24359144065 24490815114 24826305732 24889039750 25026517875 25199114550 25229985500 25747282500 26039085035 26690077500 26752484625 26953008900 27579746750 27957551500 28530772500 29230972878 29706273250 29866847700 30730627500 31032882165 31246902042 31537481875 31754981750 32917762250 33095696100 33368690500 33691261125 34052857500 34946939375 35187952750 35647527900 35669979500 36835778830 37333559625 37844978250 38105978100 39501314700 40818025190 41369620125 41377176220 41710863125 41936327250 41998524250 42225543300 44202934596 44559409875 44587474375 44921681500 47632472625 48718288130 48981630228 49376643375 49778079500 50053035750 50398229100 51721470275 52078170070 52781929125 53504969250 55159493500 55253668245 56152101875 58461945756 59412546500 61227037785 62065764330 62222599375 62493804084 62997786375 63074963750 63509963500 65835524500 67382522250 68949366875 69893878750 70375905500 73077432195 73671557660 74265683125 74667119250 75689956500 78117255105 79387454375 81636050380 82294405625 82739240250 83421726250 83872654500 83997048500 87969881875 89118819750 89174948750 92089447075 94612445625 95264945250 97436576260 98753286750 100106071500 102045062975 103442940550 104156340140 104840818125 104996310625 105563858250 107009938500 110507336490 112304203750 121795720325 122454075570 124131528660 124445198750 125132589375 125995572750 126149927500 130195425175 133762423125 134765044500 137898733750 139787757500 146154864390 148531366250 149334238500 151026693203 155164410825 156234510210 158774908750 164588811250 165478480500 166843452500 168456305625 175939763750 178237639500 178349897500 184178894150 186667798125 189224891250 190529890500 197506573500 204090125950 206848100625 206885881100 209681636250 209992621250 211127716500 221014672980 222797049375 224608407500 238162363125 243591440650 244908151140 246883216875 248890397500 250265178750 251991145500 258607351375 260390850350 263909645625 267524846250 275797467500 276268341225 292309728780 297062732500 302053386406 306135188925 310328821650 312469020420 314988931875 317549817500 329177622500 336912611250 351879527500 365387160975 368357788300 373335596250 378449782500 390586275525 408180251900 413696201250 419363272500 419985242500 445594098750 453080079609 460447235375 476324726250 487182881300 493766433750 500530357500 510225314875 517214702750 520781700700 527819291250 535049692500 552536682450 604106772812 608978601625 612270377850 620657643300 629977863750 650977125875 673825222500 730774321950 746671192500 755133466015 775822054125 781172551050 827392402500 891188197500 906160159218 920894470750 952649452500 987532867500 1020450629750 1034429405500 1055638582500 1105073364900 1217957203250 1224540755700 1259955727500 1293036756875 1301954251750 1381341706125 1461548643900 1510266932030 1530675944625 1551644108250 1562345102100 1812320318436 1826935804875 1841788941500 1952931377625 2040901259500 2265400398045 2302236176875 2435914406500 2551126574375 2586073513750 2603908503500 2762683412250 3020533864060 3044893008125 3061351889250 3103288216500 3254885629375 3653871609750 3775667330075 3879110270625 3905862755250 4530800796090 4604472353750 5102253148750 5172147027500 5525366824500 6089786016250 6122703778500 6509771258750 6906708530625 7307743219500 7551334660150 7653379723125 7758220541250 7811725510500 9061601592180 9134679024375 9208944707500 9764656888125 10204506297500 11327001990225 12179572032500 13019542517500 13813417061250 15102669320300 15306759446250 15516441082500 18269358048750 18878336650375 19529313776250 22654003980450 27626834122500 30613518892500 36538716097500 37756673300750 39058627552500 45308007960900 56635009951125 75513346601500 94391683251875 113270019902250 188783366503750 226540039804500 283175049755625 377566733007500 566350099511250 1132700199022500
- Sum of all divisors σ(n): 3766096057489920
- Sum of proper divisors (its aliquot sum) s(n): 2633395858467420
- 1132700199022500 is an abundant number, because the sum of its proper divisors (2633395858467420) is greater than itself. Its abundance is 1500695659444920
Bases of 1132700199022500
- Binary: 1000000011000101111010100001111111111101111101001002
- Hexadecimal: 0x4062F50FFEFA4
- Base-36: B5IBAD1MZO
Squares and roots of 1132700199022500
- 1132700199022500 squared (11327001990225002) is 1283009740865611109955506250000
- 1132700199022500 cubed (11327001990225003) is 1453265388826283855672689060494742640625000000
-
The
square root of 1132700199022500 is 33655611.7018024203 -
The
cube root of 1132700199022500 is 104240.9415848985
Scales and comparisons
How big is 1132700199022500?- 1,132,700,199,022,500 seconds is equal to 36,016,362 years, 34 weeks, 1 day, 4 hours, 55 minutes.
-
To count from 1 to 1,132,700,199,022,500 would take you about one hundred eight million, forty-nine thousand and eighty-seven 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 1132700199022500 cubic inches would be around 8686.7 feet tall.
Recreational maths with 1132700199022500
- 1132700199022500 backwards is 0052209910072311
- The number of decimal digits it has is: 16
- The sum of 1132700199022500's digits is 42
- 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 1132700199022500 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 1132700199022500 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/1132700199022500/
Chicago style:
Numbermatics. 2024. "Number 1132700199022500 - Facts about the integer". https://numbermatics.com/n/1132700199022500/
The information we have on file for 1132700199022500 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 1132700199022500, math, Factors of 1132700199022500, curriculum, school, college, exams, university, Prime factorization of 1132700199022500, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, one hundred thirty-two trillion, seven hundred billion, one hundred ninety-nine million, twenty-two thousand, five hundred.