10440048819200
10,440,048,819,200 is an even composite number composed of six prime numbers multiplied together.
10440048819200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 10440048819200:
210 × 52 × 72 × 113 × 132 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 37)See below for interesting mathematical facts about the number 10440048819200 from the Numbermatics database.
Names of 10440048819200
- Cardinal: 10440048819200 can be written as Ten trillion, four hundred forty billion, forty-eight million, eight hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.04400488192 × 1013
Factors of 10440048819200
Divisors of 10440048819200
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 49 50 52 55 56 64 65 70 74 77 80 88 91 98 100 104 110 112 121 128 130 140 143 148 154 160 169 175 176 182 185 196 200 208 220 224 242 245 256 259 260 275 280 286 296 308 320 325 338 350 352 364 370 385 392 400 407 416 440 448 455 481 484 490 512 518 520 539 550 560 572 592 605 616 637 640 650 676 700 704 715 728 740 770 784 800 814 832 845 847 880 896 910 925 962 968 980 1001 1024 1036 1040 1078 1100 1120 1144 1183 1184 1210 1225 1232 1274 1280 1295 1300 1331 1352 1400 1408 1430 1456 1480 1540 1568 1573 1600 1628 1664 1690 1694 1760 1792 1813 1820 1850 1859 1924 1925 1936 1960 2002 2035 2072 2080 2156 2200 2240 2275 2288 2366 2368 2405 2420 2450 2464 2548 2560 2590 2600 2662 2695 2704 2800 2816 2849 2860 2912 2960 3025 3080 3136 3146 3185 3200 3256 3328 3367 3380 3388 3520 3575 3584 3626 3640 3700 3718 3848 3850 3872 3920 4004 4070 4144 4160 4225 4235 4312 4400 4477 4480 4550 4576 4732 4736 4810 4840 4900 4928 5005 5096 5120 5180 5200 5291 5324 5390 5408 5600 5632 5698 5720 5824 5915 5920 5929 6050 6160 6253 6272 6292 6370 6400 6475 6512 6655 6656 6734 6760 6776 7007 7040 7150 7168 7252 7280 7400 7436 7696 7700 7744 7840 7865 8008 8140 8281 8288 8320 8450 8470 8624 8800 8954 8960 9065 9100 9152 9295 9317 9464 9472 9620 9680 9800 9856 10010 10175 10192 10360 10400 10582 10648 10780 10816 11011 11200 11264 11396 11440 11648 11830 11840 11858 12025 12100 12320 12506 12544 12584 12740 12800 12950 13013 13024 13310 13312 13468 13475 13520 13552 14014 14080 14245 14300 14504 14560 14800 14872 15392 15400 15488 15680 15730 15925 16016 16280 16562 16576 16640 16835 16900 16940 17248 17303 17600 17908 17920 18130 18200 18304 18590 18634 18928 18944 19240 19360 19600 19712 19943 20020 20350 20384 20449 20720 20800 21164 21175 21296 21560 21632 22022 22385 22400 22792 22880 23296 23569 23660 23680 23716 24050 24200 24640 25012 25025 25088 25168 25480 25600 25900 26026 26048 26455 26620 26936 26950 27040 27104 28028 28160 28490 28600 29008 29120 29575 29600 29645 29744 30784 30800 30976 31265 31339 31360 31460 31850 32032 32560 33124 33152 33275 33280 33670 33800 33880 34496 34606 35035 35200 35816 35840 36260 36400 36608 37037 37180 37268 37856 37888 38480 38720 39200 39325 39424 39886 40040 40700 40768 40898 41405 41440 41600 42328 42350 42592 43120 43264 43771 44044 44770 44800 45325 45584 45760 46475 46585 46592 47138 47320 47360 47432 48100 48400 49247 49280 50024 50050 50176 50336 50960 51800 52052 52096 52910 53240 53872 53900 54080 54208 55055 56056 56320 56980 57200 58016 58201 58240 59150 59200 59290 59488 61568 61600 61952 62530 62678 62720 62920 63700 64064 65065 65120 65219 66248 66304 66550 66560 67340 67600 67760 68783 68992 69212 70070 70400 71225 71632 72520 72800 73216 74074 74360 74536 75712 76960 77077 77440 78400 78650 78848 79772 80080 81400 81536 81796 82810 82880 83200 84175 84656 84700 85184 86240 86515 86528 87542 88088 89540 89600 90650 91091 91168 91520 92950 93170 93184 94276 94640 94720 94864 96200 96800 98494 98560 99715 100048 100100 100672 101920 102245 103600 104104 104192 105820 106480 107744 107800 108160 108416 110110 111925 112112 113960 114400 116032 116402 116480 117845 118300 118400 118580 118976 121121 123136 123200 123904 125060 125356 125440 125840 127400 128128 130130 130240 130438 132275 132496 132608 133100 134680 135200 135520 137566 137984 138424 140140 140800 142450 143143 143264 145040 145600 146432 148148 148225 148720 149072 151424 153920 154154 154880 156325 156695 156800 157300 159544 160160 162800 163072 163592 165620 165760 166400 168350 169312 169400 170368 172480 173030 173056 175084 175175 176176 179080 179200 181300 182182 182336 183040 185185 185900 186340 188552 189280 189440 189728 192400 193600 196988 197120 199430 200096 200200 201344 203840 204490 207025 207200 208208 208384 211640 212960 215488 215600 216320 216832 218855 219373 220220 223850 224224 224939 227920 228800 232064 232804 232925 232960 235690 236600 236800 237160 237952 242242 246235 246272 246400 250120 250712 250880 251680 254800 256256 259259 260260 260480 260876 264550 264992 265216 266200 269360 270400 271040 275132 275275 275968 276848 280280 281600 284900 286286 286528 290080 291005 291200 296296 296450 297440 298144 302848 306397 307840 308308 309760 312650 313390 313600 314600 319088 320320 325325 325600 326095 326144 327184 331240 331520 332800 336700 338624 338800 340736 343915 344729 344960 346060 350168 350350 352352 358160 362600 364364 364672 366080 370370 371800 372680 377104 378560 379456 384800 385385 387200 393976 394240 398860 400192 400400 402688 407407 407680 408980 414050 414400 416416 416768 423280 425920 430976 431200 432575 432640 433664 437710 438746 440440 447700 448448 449878 455455 455840 457600 464128 465608 465850 465920 471380 473200 473600 474320 475904 481481 484484 492470 492544 492800 498575 500240 501424 503360 509600 511225 512512 518518 520520 520960 521752 529100 529984 532400 538720 540800 542080 550264 550550 551936 553696 560560 569800 572572 573056 580160 582010 582400 589225 592592 592900 594880 596288 605605 605696 612794 615680 616616 619520 625300 626780 627200 629200 638176 640211 640640 650650 651200 652190 652288 654368 662480 663040 673400 677248 677600 681472 687830 689458 689920 692120 700336 700700 704704 715715 716320 725200 728728 729344 732160 740740 743600 745360 754208 756613 757120 758912 769600 770770 774400 783475 787952 797720 800384 800800 805376 814814 815360 817960 828100 828800 832832 846560 847847 851840 861952 862400 865150 865280 867328 875420 877492 880880 895400 896896 899756 910910 911680 915200 925925 928256 931216 931700 942760 946400 947200 948640 951808 962962 968968 984940 985600 997150 1000480 1002001 1002848 1006720 1019200 1022450 1025024 1037036 1041040 1041920 1043504 1058200 1059968 1064800 1077440 1081600 1084160 1094275 1096865 1100528 1101100 1107392 1121120 1124695 1139600 1145144 1146112 1160320 1164020 1164800 1178450 1185184 1185800 1189760 1192576 1211210 1211392 1225588 1231175 1231360 1233232 1250600 1253560 1254400 1258400 1276352 1280422 1281280 1296295 1301300 1302400 1304380 1308736 1324960 1326080 1346800 1354496 1355200 1362944 1375660 1378916 1379840 1384240 1400672 1401400 1409408 1431430 1432640 1450400 1455025 1457456 1458688 1481480 1487200 1490720 1508416 1513226 1514240 1517824 1531985 1539200 1541540 1548800 1566950 1574573 1575904 1595440 1600768 1601600 1610752 1629628 1630475 1630720 1635920 1656200 1657600 1665664 1693120 1695694 1703680 1719575 1723645 1723904 1724800 1730300 1750840 1754984 1761760 1790800 1793792 1799512 1821820 1823360 1830400 1851850 1856512 1862432 1863400 1885520 1892800 1897280 1903616 1925924 1926925 1937936 1969880 1971200 1994300 2000960 2004002 2005696 2013440 2037035 2038400 2044900 2074072 2082080 2083840 2087008 2116400 2119936 2129600 2154880 2163200 2168320 2188550 2193730 2201056 2202200 2214784 2242240 2249390 2277275 2279200 2290288 2292224 2320640 2328040 2329600 2356900 2370368 2371600 2379520 2385152 2407405 2413103 2422420 2451176 2462350 2462720 2466464 2501200 2507120 2516800 2552704 2560844 2562560 2592590 2602600 2604800 2608760 2617472 2649920 2693600 2708992 2710400 2751320 2757832 2759680 2768480 2801344 2802800 2818816 2851849 2862860 2865280 2900800 2910050 2914912 2917376 2962960 2974400 2981440 3016832 3026452 3028025 3028480 3035648 3063970 3078400 3083080 3097600 3133900 3149146 3151808 3190880 3201055 3201536 3203200 3259256 3260950 3261440 3271840 3312400 3315200 3331328 3370367 3386240 3391388 3407360 3439150 3447290 3447808 3449600 3460600 3501680 3509968 3523520 3578575 3581600 3587584 3599024 3643640 3646720 3660800 3703700 3724864 3726800 3771040 3783065 3785600 3794560 3851848 3853850 3875872 3939760 3988600 4001920 4008004 4011392 4026880 4074070 4076800 4089800 4148144 4164160 4174016 4232800 4239235 4239872 4259200 4309760 4326400 4336640 4377100 4387460 4402112 4404400 4429568 4481477 4484480 4498780 4554550 4558400 4580576 4584448 4641280 4656080 4713800 4740736 4743200 4759040 4770304 4814810 4826206 4844840 4902352 4924700 4932928 5002400 5010005 5014240 5033600 5105408 5121688 5125120 5185180 5205200 5209600 5217520 5234944 5296291 5299840 5387200 5417984 5420800 5484325 5502640 5515664 5536960 5602688 5605600 5623475 5637632 5703698 5725720 5730560 5801600 5820100 5829824 5925920 5948800 5962880 6033664 6052904 6056050 6056960 6071296 6127940 6156800 6166160 6267800 6298292 6303616 6381760 6402110 6403072 6406400 6481475 6518512 6521900 6543680 6624800 6630400 6662656 6740734 6772480 6782776 6814720 6878300 6894580 6899200 6921200 7003360 7019936 7047040 7157150 7163200 7175168 7198048 7287280 7293440 7407400 7449728 7453600 7542080 7566130 7571200 7589120 7659925 7703696 7707700 7751744 7872865 7879520 7977200 8003840 8016008 8022784 8053760 8148140 8153600 8179600 8296288 8322743 8328320 8348032 8465600 8478470 8479744 8518400 8618225 8619520 8754200 8774920 8804224 8808800 8859136 8962954 8968960 8997560 9109100 9116800 9161152 9282560 9312160 9427600 9481472 9486400 9518080 9540608 9629620 9652412 9689680 9804704 9849400 9865856 10004800 10020010 10028480 10067200 10185175 10210816 10243376 10370360 10410400 10419200 10435040 10469888 10592582 10599680 10774400 10841600 10968650 11005280 11022011 11031328 11073920 11205376 11211200 11246950 11275264 11407396 11451440 11461120 11603200 11640200 11659648 11851840 11897600 11925760 12037025 12065515 12067328 12105808 12112100 12255880 12313600 12332320 12535600 12596584 12607232 12763520 12804220 12812800 12962950 13037024 13043800 13087360 13249600 13325312 13481468 13544960 13565552 13756600 13789160 13798400 13842400 14006720 14039872 14094080 14259245 14314300 14326400 14396096 14574560 14586880 14814800 14899456 14907200 15084160 15132260 15142400 15178240 15319850 15407392 15415400 15503488 15745730 15759040 15954400 16005275 16007680 16032016 16045568 16296280 16307200 16359200 16592576 16645486 16656640 16696064 16851835 16931200 16956940 17036800 17236450 17239040 17508400 17549840 17608448 17617600 17718272 17925908 17937920 17995120 18218200 18233600 18322304 18624320 18855200 18915325 18962944 18972800 19259240 19304824 19379360 19609408 19698800 19731712 20009600 20040020 20056960 20134400 20370350 20421632 20486752 20740720 20820800 20870080 20939776 21185164 21196175 21199360 21548800 21683200 21937300 22010560 22044022 22062656 22147840 22407385 22410752 22422400 22493900 22814792 22902880 22922240 23206400 23280400 23319296 23703680 23795200 23851520 24074050 24131030 24134656 24211616 24224200 24511760 24664640 25050025 25071200 25193168 25214464 25527040 25608440 25625600 25925900 26074048 26087600 26174720 26481455 26499200 26962936 27089920 27131104 27513200 27578320 27684800 28013440 28079744 28188160 28518490 28628600 28652800 28792192 29149120 29629600 29798912 29814400 30168320 30264520 30284800 30356480 30639700 30814784 30830800 31006976 31370339 31491460 31518080 31908800 32010550 32015360 32064032 32091136 32592560 32718400 33185152 33290972 33313280 33392128 33703670 33862400 33913880 34073600 34472900 35016800 35099680 35216896 35235200 35851816 35875840 35990240 36436400 36467200 36644608 37074037 37248640 37710400 37830650 37925888 37945600 38518480 38609648 38758720 39218816 39364325 39397600 39463424 40019200 40080040 40113920 40268800 40740700 40973504 41481440 41613715 41641600 41740160 42370328 42392350 42398720 43097600 43874600 44021120 44088044 44125312 44295680 44814770 44821504 44844800 44987800 45629584 45805760 46412800 46560800 46638592 47407360 47590400 47703040 48148100 48262060 48423232 48448400 49023520 49329280 50100050 50142400 50386336 50428928 51054080 51216880 51851800 52148096 52175200 52349440 52962910 52998400 53925872 54262208 55026400 55110055 55156640 55369600 56026880 56159488 56376320 57036980 57257200 57305600 57584384 58259201 58298240 59259200 59597824 59628800 60327575 60336640 60529040 61279400 61629568 61661600 62013952 62740678 62982920 63036160 63817600 64021100 64128064 65185120 65436800 66370304 66581944 66626560 66784256 67407340 67724800 67827760 68945800 70033600 70199360 70433792 70470400 71296225 71703632 71980480 72872800 72934400 73289216 74148074 74497280 75420800 75661300 75891200 77036960 77219296 77517440 78437632 78728650 78795200 78926848 80038400 80160080 80227840 81481400 81947008 82962880 83227430 83283200 83480320 84259175 84740656 84784700 86195200 87749200 88042240 88176088 88250624 88591360 89629540 89689600 89975600 91259168 91611520 93121600 93277184 94814720 96296200 96524120 96846464 96896800 98047040 98658560 100200100 100284800 100772672 102108160 102433760 103703600 104296192 104350400 104698880 105925820 105996800 107851744 108524416 110052800 110220110 110313280 110739200 112036925 112053760 112318976 114073960 114514400 114611200 115168768 116518402 116596480 118518400 119257600 120655150 120673280 121058080 122558800 123259136 123323200 124027904 125481356 125965840 126072320 127635200 128042200 128256128 130370240 130873600 132407275 132740608 133163888 134814680 135449600 135655520 137891600 140067200 140398720 140940800 142592450 143407264 143960960 145745600 146578432 148296148 148994560 150841600 151322600 151782400 154073920 154438592 155034880 156851695 156875264 157457300 157590400 160076800 160320160 160455680 162962800 163894016 165925760 166454860 166566400 166960640 168518350 169481312 169569400 175498400 176084480 176352176 176501248 179259080 179379200 179951200 182518336 183223040 185370185 186243200 189629440 192592400 193048240 193692928 193793600 196094080 197317120 200400200 200569600 201545344 204867520 207407200 208068575 208592384 208700800 211851640 211993600 215703488 217048832 220105600 220440220 220626560 221478400 224073850 224107520 224637952 228147920 229028800 230337536 233036804 233192960 237036800 238515200 241310300 242116160 245117600 246518272 246646400 250962712 251931680 252144640 255270400 256084400 256512256 260740480 261747200 264814550 265481216 266327776 269629360 271311040 275550275 275783200 280134400 280797440 281881600 285184900 286814528 287921920 291296005 291491200 296592296 297989120 301683200 302645200 308147840 308877184 310069760 313703390 313750528 314914600 315180800 320640320 325925600 327788032 331851520 332909720 333132800 333921280 337036700 338962624 339138800 350996800 352168960 352704352 353002496 358518160 359902400 365036672 366446080 370740370 372486400 385184800 386096480 387385856 387587200 392188160 394634240 400800400 401139200 403090688 407814407 409735040 414814400 416137150 417184768 417401600 423703280 431406976 434097664 440211200 440880440 441253120 442956800 448147700 456295840 458057600 466073608 466385920 474073600 482620600 484232320 490235200 493036544 493292800 501925424 503863360 510540800 512168800 513024512 521480960 523494400 529629100 532655552 539258720 542622080 551100550 551566400 560268800 561594880 570369800 573629056 575843840 582592010 582982400 593184592 603366400 605290400 616295680 617754368 620139520 627406780 629829200 630361600 641280640 651851200 655576064 663703040 665819440 674073400 677925248 678277600 701993600 705408704 717036320 719804800 730073344 732892160 741480740 744972800 770369600 772192960 774771712 775174400 784258475 784376320 801600800 802278400 806181376 815628814 819470080 829628800 832274300 834803200 847406560 862813952 868195328 880422400 881760880 882506240 896295400 912591680 916115200 926850925 932147216 948147200 965241200 968464640 980470400 986585600 1003850848 1007726720 1024337600 1026049024 1042961920 1059258200 1065311104 1078517440 1085244160 1102201100 1103132800 1120537600 1123189760 1140739600 1147258112 1151687680 1165184020 1165964800 1186369184 1210580800 1232591360 1235508736 1254813560 1259658400 1260723200 1282561280 1303702400 1327406080 1331638880 1348146800 1355850496 1356555200 1403987200 1410817408 1434072640 1439609600 1456480025 1460146688 1482961480 1489945600 1540739200 1544385920 1550348800 1568516950 1568752640 1603201600 1612362752 1631257628 1638940160 1659257600 1664548600 1669606400 1694813120 1725627904 1760844800 1763521760 1765012480 1792590800 1825183360 1832230400 1853701850 1864294432 1930482400 1936929280 1960940800 1973171200 2007701696 2015453440 2039072035 2048675200 2085923840 2118516400 2130622208 2157034880 2170488320 2204402200 2206265600 2281479200 2294516224 2330368040 2331929600 2372738368 2421161600 2465182720 2471017472 2509627120 2519316800 2565122560 2607404800 2663277760 2696293600 2711700992 2713110400 2807974400 2821634816 2868145280 2879219200 2912960050 2920293376 2965922960 3081478400 3088771840 3100697600 3137033900 3206403200 3262515256 3277880320 3318515200 3329097200 3389626240 3451255808 3527043520 3585181600 3650366720 3664460800 3707403700 3728588864 3860964800 3873858560 3921881600 4015403392 4030906880 4078144070 4097350400 4237032800 4261244416 4314069760 4340976640 4408804400 4412531200 4562958400 4589032448 4660736080 4745476736 4842323200 5019254240 5038633600 5130245120 5214809600 5326555520 5392587200 5423401984 5426220800 5615948800 5643269632 5736290560 5758438400 5825920100 5931845920 6162956800 6177543680 6274067800 6412806400 6525030512 6637030400 6658194400 6779252480 7054087040 7170363200 7300733440 7414807400 7457177728 7721929600 7843763200 8030806784 8061813760 8156288140 8194700800 8474065600 8522488832 8628139520 8817608800 8825062400 9125916800 9321472160 9490953472 9684646400 10038508480 10077267200 10195360175 10429619200 10653111040 10785174400 10852441600 11286539264 11472581120 11651840200 11863691840 12325913600 12355087360 12548135600 12825612800 13050061024 13316388800 13558504960 14108174080 14340726400 14601466880 14829614800 14914355456 15443859200 16061613568 16312576280 16389401600 16948131200 17256279040 17635217600 18251833600 18642944320 18981906944 19369292800 20077016960 20154534400 20390720350 21306222080 21570348800 21704883200 22945162240 23303680400 23727383680 25096271200 25651225600 26100122048 26632777600 27117009920 28216348160 28681452800 29659229600 29828710912 30887718400 32123227136 32625152560 33896262400 35270435200 36503667200 37285888640 37963813888 40154033920 40309068800 40781440700 42612444160 43140697600 46607360800 47454767360 50192542400 52200244096 53265555200 56432696320 57362905600 59318459200 59657421824 61775436800 65250305120 67792524800 70540870400 73007334400 74571777280 80308067840 81562881400 86281395200 93214721600 94909534720 100385084800 104400488192 106531110400 114725811200 118636918400 130500610240 135585049600 141081740800 149143554560 160616135680 163125762800 186429443200 189819069440 200770169600 208800976384 213062220800 237273836800 261001220480 282163481600 298287109120 326251525600 372858886400 401540339200 417601952768 474547673600 522002440960 652503051200 745717772800 803080678400 949095347200 1044004881920 1305006102400 1491435545600 2088009763840 2610012204800 5220024409600 10440048819200
- Sum of all divisors σ(n): 36823931604144
- Sum of proper divisors (its aliquot sum) s(n): 26383882784944
- 10440048819200 is an abundant number, because the sum of its proper divisors (26383882784944) is greater than itself. Its abundance is 15943833965744
Bases of 10440048819200
- Binary: 100101111110110000110110011010111100000000002
- Hexadecimal: 0x97EC366BC00
- Base-36: 3P83BIGOW
Squares and roots of 10440048819200
- 10440048819200 squared (104400488192002) is 108994619347279314288640000
- 10440048819200 cubed (104400488192003) is 1137909147015716879871701719973888000000
-
The
square root of 10440048819200 is 3231106.4388534155 -
The
cube root of 10440048819200 is 21855.8403602003
Scales and comparisons
How big is 10440048819200?- 10,440,048,819,200 seconds is equal to 331,961 years, 13 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 10,440,048,819,200 would take you about eight hundred twenty-nine thousand, nine hundred three 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 10440048819200 cubic inches would be around 1821.3 feet tall.
Recreational maths with 10440048819200
- 10440048819200 backwards is 00291884004401
- The number of decimal digits it has is: 14
- The sum of 10440048819200's digits is 41
- 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 10440048819200 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 10440048819200 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/10440048819200/
Chicago style:
Numbermatics. 2024. "Number 10440048819200 - Facts about the integer". https://numbermatics.com/n/10440048819200/
The information we have on file for 10440048819200 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 10440048819200, math, Factors of 10440048819200, curriculum, school, college, exams, university, Prime factorization of 10440048819200, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, four hundred forty billion, forty-eight million, eight hundred nineteen thousand, two hundred.