48559672108500
48,559,672,108,500 is an even composite number composed of nine prime numbers multiplied together.
48559672108500 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48559672108500:
22 × 3 × 53 × 72 × 17 × 37 × 61 × 67 × 257
(2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 37 × 61 × 67 × 257)See below for interesting mathematical facts about the number 48559672108500 from the Numbermatics database.
Names of 48559672108500
- Cardinal: 48559672108500 can be written as Forty-eight trillion, five hundred fifty-nine billion, six hundred seventy-two million, one hundred eight thousand, five hundred.
Scientific notation
- Scientific notation: 4.85596721085 × 1013
Factors of 48559672108500
Divisors of 48559672108500
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 37 42 49 50 51 60 61 67 68 70 74 75 84 85 98 100 102 105 111 119 122 125 134 140 147 148 150 170 175 183 185 196 201 204 210 222 238 244 245 250 255 257 259 268 294 300 305 335 340 350 357 366 370 375 402 420 425 427 444 469 476 490 500 510 514 518 525 555 588 595 610 629 670 700 714 732 735 740 750 771 777 804 833 850 854 875 915 925 938 980 1005 1020 1028 1036 1037 1050 1110 1139 1190 1220 1225 1258 1275 1281 1285 1295 1340 1407 1428 1470 1500 1525 1542 1554 1666 1675 1700 1708 1750 1785 1799 1813 1830 1850 1876 1887 2010 2074 2100 2125 2135 2220 2257 2278 2345 2380 2450 2479 2499 2516 2550 2562 2570 2590 2625 2775 2814 2940 2975 2989 3050 3084 3108 3111 3145 3283 3332 3350 3417 3500 3570 3598 3626 3660 3675 3700 3774 3855 3885 4020 4087 4148 4165 4250 4270 4369 4403 4514 4556 4575 4625 4690 4900 4958 4998 5025 5100 5124 5140 5180 5185 5250 5397 5439 5550 5628 5695 5950 5978 6100 6125 6222 6290 6375 6405 6425 6475 6566 6700 6771 6834 7035 7140 7196 7252 7259 7350 7437 7548 7625 7710 7770 7973 8174 8330 8375 8500 8540 8738 8806 8925 8967 8995 9028 9065 9150 9250 9380 9435 9509 9849 9916 9996 10050 10370 10500 10675 10794 10878 11100 11285 11390 11725 11900 11956 12250 12261 12395 12444 12495 12580 12593 12750 12810 12850 12950 13107 13132 13209 13542 13668 13875 14070 14518 14700 14874 14875 14945 15250 15420 15540 15555 15677 15725 15799 15946 16348 16415 16660 16750 17085 17219 17353 17476 17612 17850 17934 17990 18130 18300 18375 18500 18870 19018 19275 19425 19698 20100 20435 20740 20825 21350 21588 21756 21777 21845 22015 22570 22780 22875 23450 23919 24500 24522 24790 24990 25125 25186 25500 25620 25700 25900 25925 26214 26418 26985 27084 27195 27750 28140 28475 28527 28609 29036 29748 29750 29890 30500 30583 30821 31110 31354 31450 31598 31892 32025 32125 32375 32830 33500 33855 34170 34438 34706 35175 35700 35868 35980 36260 36295 36750 37185 37740 37779 38036 38369 38550 38850 39396 39865 40870 41650 42143 42700 43554 43690 44030 44625 44835 44975 45140 45325 45750 46900 47031 47175 47397 47545 47838 49044 49245 49580 49980 50250 50372 50813 51657 51850 52059 52428 52836 53375 53970 54390 55500 55811 56425 56950 57054 57218 58625 59500 59780 61166 61305 61642 61975 62220 62475 62708 62900 62965 63196 64050 64250 64750 65535 65660 66045 66563 67710 68340 68876 69412 69479 70350 72590 73500 74370 74725 75558 76738 77100 77700 77775 78385 78625 78995 79730 81740 82075 83300 84286 85425 85827 86095 86765 87108 87380 88060 89250 89670 89950 90650 91500 91749 92463 94062 94350 94794 95090 95676 96375 97125 98490 100500 101626 102175 103314 103700 104118 104125 106750 107940 108780 108885 109225 109739 110075 110593 111622 112850 113900 114108 114436 115107 117250 119595 120533 121471 122332 122610 123284 123950 124950 125930 126429 128100 128500 129500 129625 131070 132090 133126 134925 135420 135975 138958 140700 142375 142635 143045 145180 148740 149450 151116 151219 152439 152915 153476 154105 155550 156770 157250 157990 159460 160125 161653 164150 167433 168572 169275 170850 171654 172190 173530 175875 178500 179340 179900 181300 181475 183498 184926 185925 188124 188700 188895 189588 190180 191845 192750 194250 196980 199325 199689 200263 203252 204350 206628 208236 208250 208437 210715 213500 214081 217770 218450 219478 220150 221186 223244 224175 224875 225700 226625 230214 234500 235155 235875 236985 237725 239190 241066 242942 245220 246225 247900 249900 251860 252858 254065 258285 259250 260295 262140 264180 266252 266509 268583 269850 271950 277916 279055 282125 284750 285270 286090 292723 295001 298900 302438 304878 305830 306525 308210 309875 311100 312375 313540 314500 314825 315980 320250 323306 327675 328300 329217 330225 331779 332815 334866 338550 341700 343308 344380 347060 347395 351750 361599 362950 364413 366996 369852 371850 373625 377790 383690 385500 388500 388875 391925 394975 398650 399378 400526 408700 410375 416500 416874 421430 427125 428162 429135 430475 433825 435540 436900 438956 440300 442372 448350 449750 453250 453657 458745 460428 462315 465941 470310 471750 473970 475450 478380 482132 484959 485884 486353 492450 505716 508130 510875 516570 518500 520590 533018 537166 539700 543900 544425 546125 548695 550375 552965 558110 564250 569500 570540 572180 575535 580049 585446 590002 597975 600789 602665 604876 607355 609756 611660 613050 616420 619750 624750 629650 632145 637103 640500 642243 646612 655350 658434 660450 663558 665630 669732 674625 677100 679875 694790 703500 713175 715225 723198 725900 728826 743700 747250 755580 756095 762195 764575 767380 768173 770525 777750 783850 789950 797300 798756 799527 801052 805749 808265 820750 833748 837165 842860 843731 846375 854250 856324 858270 860950 867650 878169 885003 896700 899500 906500 907314 907375 917490 924630 929625 931882 940620 943500 944475 947940 950900 959225 969918 972706 984900 996625 998445 1001315 1016260 1021750 1033140 1041180 1042185 1050359 1053575 1058533 1066036 1070405 1074332 1088850 1092250 1097390 1100750 1105930 1116220 1120875 1128500 1131571 1151070 1160098 1170892 1175775 1180004 1184925 1188625 1195950 1201578 1205330 1214710 1226100 1231125 1239500 1249500 1259300 1264290 1270325 1274206 1284486 1291425 1301475 1310700 1316868 1320900 1327116 1331260 1332545 1342915 1349250 1359750 1389580 1395275 1397823 1426350 1430450 1446396 1457652 1459059 1463615 1475005 1494500 1512190 1524390 1529150 1532625 1536346 1541050 1555500 1567700 1574125 1579900 1599054 1611498 1616530 1638375 1641500 1646085 1651125 1658895 1664075 1674330 1687462 1692750 1708500 1716540 1721900 1735300 1736975 1740147 1756338 1770006 1807995 1814628 1814750 1822065 1834980 1849260 1859250 1863764 1865563 1880081 1888950 1911309 1918450 1939836 1945412 1959625 1974875 1993250 1996890 2002630 2043500 2049061 2065007 2084370 2100718 2107150 2117066 2140810 2145675 2152375 2169125 2177700 2184500 2194780 2201500 2211860 2241750 2263142 2268285 2293725 2302140 2304519 2311575 2320196 2329705 2351550 2369850 2377250 2391900 2403156 2410660 2424795 2429420 2431765 2462250 2528580 2531193 2540650 2548412 2568972 2570723 2582850 2602950 2665090 2685830 2698500 2719500 2722125 2743475 2764825 2790550 2795646 2852700 2860900 2877675 2900245 2918118 2927230 2950010 2989875 3003945 3013325 3024380 3036775 3048780 3058300 3065250 3072692 3082100 3148250 3151077 3160725 3175599 3185515 3198108 3211215 3222996 3233060 3276750 3292170 3302250 3317790 3328150 3348660 3374924 3385500 3394713 3404471 3473950 3480294 3512676 3540012 3565875 3576125 3615990 3629500 3644130 3718500 3731126 3760162 3777900 3780475 3810975 3822618 3822875 3836900 3840865 3852625 3919250 3949750 3986500 3993780 3997635 4005260 4028745 4041325 4060343 4098122 4130014 4168740 4185825 4201436 4214300 4218655 4234132 4281620 4291350 4304750 4338250 4390845 4425015 4459721 4483500 4526284 4536570 4587450 4609038 4623150 4659410 4703100 4722375 4739700 4754500 4796125 4849590 4863530 4924500 4992225 5006575 5062386 5081300 5141446 5165700 5205900 5210925 5251795 5267875 5292665 5330180 5352025 5371660 5444250 5486950 5529650 5581100 5591292 5596689 5640243 5657855 5755350 5800490 5836236 5854460 5878875 5900020 5924625 5979750 6007890 6026650 6073550 6130500 6147183 6195021 6296500 6302154 6321450 6351198 6351625 6371030 6422430 6457125 6507375 6553500 6584340 6604500 6635580 6656300 6662725 6714575 6789426 6808942 6947900 6960588 6976375 6989115 7131750 7152250 7231980 7288260 7295295 7318075 7352513 7375025 7409731 7462252 7520324 7560950 7621950 7645236 7645750 7681730 7705250 7712169 7838500 7899500 7920997 7995270 8057490 8082650 8120686 8196244 8230425 8260028 8294475 8320375 8371650 8437310 8582700 8609500 8676500 8684875 8700735 8781690 8850030 8919442 9039975 9073140 9110325 9174900 9218076 9246300 9318820 9327815 9400405 9444750 9556545 9592250 9699180 9727060 9860833 9984450 10013150 10124772 10213413 10245305 10282892 10325035 10421850 10503590 10535750 10585330 10704050 10728375 10830751 10888500 10973900 11059300 11193378 11280486 11315710 11341425 11468625 11510700 11522595 11557875 11600980 11648525 11757750 11849250 11959500 12015780 12053300 12123975 12147100 12158825 12181029 12294366 12390042 12604308 12642900 12655965 12702396 12703250 12742060 12844860 12853615 12914250 13014750 13058941 13325450 13379163 13429150 13578852 13617884 13717375 13824125 13952750 13978230 14263500 14304500 14343427 14388375 14501225 14590590 14636150 14705026 14750050 14819462 15019725 15066625 15121900 15183875 15243900 15291500 15363460 15410500 15424338 15755385 15803625 15841994 15877995 15927575 15990540 16056075 16114980 16165300 16241372 16460850 16588950 16640750 16743300 16874620 16973565 17022355 17369750 17401470 17563380 17700060 17838884 17856103 17995061 18079950 18220650 18655630 18800810 18889500 18902375 19054875 19113090 19184500 19204325 19721666 19968900 19988175 20026300 20143725 20206625 20301715 20426826 20490610 20650070 20843700 20929125 21007180 21071500 21093275 21170660 21408100 21456750 21661502 21954225 22057539 22125075 22229193 22298605 22386756 22560972 22631420 22682850 22937250 23045190 23115750 23297050 23515500 23698500 23762991 24247950 24317650 24362058 24588732 24780084 24961125 25032875 25311930 25406500 25707230 25828500 26029500 26054625 26117882 26258975 26463325 26650900 26758326 26760125 26858300 27434750 27648250 27905500 27956460 27983445 28201215 28289275 28422401 28686854 28776750 29002450 29181180 29272300 29410052 29500100 29582499 29638924 30039450 30133250 30367750 30735915 30848676 30975105 31218047 31510770 31607250 31683988 31755990 31855150 32112150 32492253 32921700 33177900 33281500 33313625 33572875 33947130 34044710 34739500 34802940 34945575 35712206 35990122 36159900 36441300 36476475 36590375 36762565 36875125 37048655 37311260 37601620 37804750 38109750 38226180 38408650 38560845 38863283 39176823 39443332 39604985 39976350 40287450 40413250 40603430 40853652 40981220 41152125 41300140 41472375 41858250 42186550 42913500 43030281 43323004 43503675 43908450 44115078 44250150 44458386 44597210 45199875 45365700 45551625 45874500 46090380 46231500 46594100 46639075 47002025 47525982 47782725 48495900 48635300 48724116 49304165 49922250 50065750 50623860 51067065 51226525 51414460 51467591 51625175 52109250 52235764 52517950 52926650 53516652 53520250 53568309 53985183 54153755 54869500 55296500 55966890 56402430 56578550 56707125 56844802 57373708 57553500 57612975 58004900 58242625 59164998 60078900 60266500 60619875 60735500 60794125 60905145 61471830 61950210 62436094 63021540 63214500 63279825 63511980 63710300 64224300 64268075 64984506 65294705 66627250 66895815 67145750 67894260 68089420 69025831 69891150 71424412 71717135 71980244 72506125 72952950 73180750 73525130 73750250 74097310 75098625 75609500 75815257 76219500 76817300 77121690 77726566 78353646 78776925 79209970 79389975 79637875 79952700 80280375 80574900 80826500 81206860 82304250 82944750 83716500 84373100 84867825 85111775 85267203 86060562 87007350 87816900 88230156 88500300 88916772 89194420 89280515 89975305 90399750 91103250 93278150 93654141 94004050 95051964 95565450 96021625 98608330 99844500 99940875 100131500 100718625 101508575 102134130 102453050 102935182 103250350 104218500 105035900 105466375 105853300 107040500 107136618 107970366 108307510 109771125 110287695 110625375 111145965 111493025 111933780 112804860 113157100 113414250 113689604 115225950 116485250 116589849 118329996 118814955 121239750 121588250 121810290 122943660 123900420 124872188 124992721 125965427 126559650 128536150 129969012 130589410 131294875 132316625 133254500 133791630 134291500 138051662 139782300 139917225 141006075 141446375 142112005 143434270 145012250 145905900 146361500 147050260 147500500 147912495 148194620 150197250 151630514 153679575 154243380 154402773 154875525 155453132 156090235 156707292 157553850 158419940 158779950 159275750 160560750 162461265 164608500 165889500 169735650 170223550 170534406 172121124 174014700 174727875 178561030 179950610 180799500 182206500 182382375 183812825 185243275 186556300 187308282 188008100 191130900 192043250 192804225 194316415 195884115 197216660 198024925 199881750 201437250 203017150 204268260 204906100 205870364 206500700 207077493 210932750 214273236 215151405 215940732 216615020 217518375 219542250 220575390 221250750 222291930 222986050 226828500 227445771 230451900 232970500 233179698 233195375 235010125 237629910 238913625 242479500 243176500 243620580 246520825 249985442 251930854 253119300 255335325 256132625 257072300 257337955 258125875 261178820 262589750 264633250 267583260 267841545 269925915 270768775 272042981 276103324 279834450 282012150 282892750 284224010 286868540 288064875 290024500 295824990 300394500 303261028 304525725 307359150 308805546 309751050 312180470 315107700 316399125 317559900 318551500 321121500 321340375 324922530 326473525 334479075 339471300 340447100 341068812 345129155 349455750 357122060 358585675 359901220 364764750 367625650 370486550 374616564 374978163 377896281 379076285 384086500 385608450 388632830 391768230 393884625 396049850 396949875 399763500 402874500 406034300 414154986 421865500 424339125 425558875 426336015 430302810 435036750 439084500 441150780 442501500 444583860 445972100 446402575 449876525 454891542 466359396 466390750 468270705 470020250 475259820 477827250 483180817 493041650 499970884 503861708 507542875 510670650 512265250 514675910 516251750 525179500 529266500 530706799 535683090 539851830 541537550 544085962 551438475 555729825 557465125 559668900 564024300 565785500 568448020 576129750 582949245 591649980 594074775 609051450 614718300 617611092 619502100 624360940 624963605 629827135 632798250 642680750 649845060 652947050 660675811 668958150 690258310 698911500 699586125 705030375 710560025 717171350 729529500 735251300 739562475 740973100 749956326 755792562 758152570 768397875 771216900 772013865 774377625 777265660 780451175 783536460 787769250 792099700 793899750 812306325 816128943 828309972 848678250 851117750 852672030 860605620 870073500 874949047 892805150 899753050 909783084 919064125 926216375 932781500 936541410 940040500 955654500 964021125 966361634 971582075 979420575 986083300 990124625 1015085750 1021341300 1024530500 1029351820 1032503500 1035387465 1061413598 1071366180 1075757025 1079703660 1083075100 1088171924 1102876950 1111459650 1114930250 1137228855 1152259500 1165898490 1188149550 1218102900 1232604125 1249927210 1259654270 1265596500 1276676625 1285361500 1286689775 1305894100 1321351622 1337916300 1339207725 1349629575 1353843875 1360214905 1380516620 1399172250 1410060750 1421120050 1434342700 1449542451 1479124950 1499912652 1511585124 1516305140 1522628625 1536795750 1544027730 1548755250 1560902350 1575538500 1587799500 1592120397 1624612650 1632257886 1632367625 1672395375 1697356500 1702235500 1705344060 1725645775 1749898094 1785610300 1792928375 1799506100 1838128250 1852432750 1873082820 1874890815 1889481405 1895381425 1904300867 1928042250 1932723268 1943164150 1958841150 1980249250 1982027433 2030171500 2070774930 2122827196 2131680075 2151514050 2205753900 2222919300 2229860500 2232012875 2249382625 2274457710 2331796980 2341353525 2376299100 2415904085 2465208250 2499854420 2519308540 2553353250 2573379550 2624847141 2642703244 2653533995 2678415450 2699259150 2707687750 2720429810 2757192375 2778649125 2798344500 2820121500 2842240100 2899084902 2914746225 2958249900 2970373875 3045257250 3073591500 3088055460 3097510500 3121804700 3124818025 3149135675 3184240794 3249225300 3264515772 3264735250 3303379055 3344790750 3451291550 3499796188 3552800125 3585856750 3676256500 3697812375 3704865500 3749781630 3778962810 3790762850 3808601734 3856084500 3860069325 3886328300 3902255875 3917682300 3960498500 3964054866 4061531625 4080644715 4141549860 4263360150 4303028100 4374745235 4464025750 4498765250 4548915420 4624730677 4682707050 4831808170 4857910375 4897102875 4930416500 5106706500 5146759100 5176937325 5249694282 5307067990 5356830900 5378785125 5398518300 5415375500 5440859620 5514384750 5557298250 5686144275 5712902601 5798169804 5829492450 5940747750 6090514500 6249636050 6298271350 6368481588 6433448875 6529470500 6606758110 6689581500 6696038625 6748147875 6801074525 6902583100 7105600250 7171713500 7247712255 7395624750 7499563260 7557925620 7581525700 7617203468 7720138650 7804511750 7928109732 7960601985 8123063250 8161289430 8526720300 8628228875 8749490470 8928051500 8997530500 9249461354 9365414100 9374454075 9447407025 9476907125 9521504335 9663616340 9715820750 9794205750 9910137165 10353874650 10499388564 10614135980 10658400375 10757570250 11028769500 11114596500 11372288550 11425805202 11658984900 11706767625 11881495500 12079520425 12499272100 12596542700 12866897750 13124235705 13213516220 13267669975 13392077250 13496295750 13602149050 13874192031 14211200500 14495424510 14573731125 14791249500 15440277300 15609023500 15624090125 15745678375 15921203970 16246126500 16322578860 16516895275 17256457750 17498980940 18498922708 18748908150 18894814050 18953814250 19043008670 19300346625 19431641500 19588411500 19820274330 20403223575 20707749300 21316800750 21515140500 21873726175 22744577100 22851610404 23123653385 23413535250 24159040850 25733795500 25884686625 26248471410 26535339950 26784154500 26992591500 27204298100 27748384062 28430721375 28564513005 28990849020 29147462250 31248180250 31491356750 31842407940 32373114739 33033790550 34005372625 34512915500 36238561275 37497816300 37789628100 37907628500 38086017340 38600693250 39640548660 39803009925 40806447150 42633601500 43747452350 46247306770 46827070500 46872270375 47237035125 47607521675 48318081700 49550685825 51769373250 52496942820 53070679900 55496768124 56861442750 57129026010 58294924500 60397602125 62496360500 62982713500 64746229478 65621178525 66067581100 66338349875 68010745250 69370960155 72477122550 77201386500 79606019850 81612894300 82584476375 87494904700 92494613540 93744540750 94474070250 95215043350 97119344217 99101371650 102016117875 103538746500 109368630875 113722885500 114258052020 115618266925 120795204250 129492458956 131242357050 132676699750 136021490500 138741920310 142822565025 144954245100 159212039700 161865573695 165168952750 181192806375 187489081500 188948140500 190430086700 194238688434 198202743300 199015049625 204032235750 218737261750 231236533850 238037608375 241590408500 247753429125 262484714100 265353399500 277483840620 285645130050 323731147390 328105892625 330337905500 346854800775 362385612750 388477376868 398030099250 408064471500 437474523500 462473067700 476075216750 485596721085 495506858250 571290260100 578091334625 647462294780 656211785250 693709601550 714112825125 724771225500 796060198500 809327868475 952150433500 971193442170 991013716500 1156182669250 1312423570500 1387419203100 1428225650250 1618655736950 1734274003875 1942386884340 2312365338500 2427983605425 2856451300500 3237311473900 3468548007750 4046639342375 4855967210850 6937096015500 8093278684750 9711934421700 12139918027125 16186557369500 24279836054250 48559672108500
- Sum of all divisors σ(n): 185239625905152
- Sum of proper divisors (its aliquot sum) s(n): 136679953796652
- 48559672108500 is an abundant number, because the sum of its proper divisors (136679953796652) is greater than itself. Its abundance is 88120281688152
Bases of 48559672108500
- Binary: 10110000101010001011100000000110100101110101002
- Hexadecimal: 0x2C2A2E01A5D4
- Base-36: H7O06ZZRO
Squares and roots of 48559672108500
- 48559672108500 squared (485596721085002) is 2358041755285032835772250000
- 48559672108500 cubed (485596721085003) is 114505734454792991462756389383289125000000
-
The
square root of 48559672108500 is 6968477.0293443603 -
The
cube root of 48559672108500 is 36483.1152550081
Scales and comparisons
How big is 48559672108500?- 48,559,672,108,500 seconds is equal to 1,544,047 years, 19 weeks, 23 hours, 55 minutes.
-
To count from 1 to 48,559,672,108,500 would take you about three million, eight hundred sixty thousand, one hundred eighteen 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 48559672108500 cubic inches would be around 3040.3 feet tall.
Recreational maths with 48559672108500
- 48559672108500 backwards is 00580127695584
- 48559672108500 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48559672108500's digits is 60
- 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 48559672108500 - Facts about the integer". Numbermatics.com. 2024. Web. 30 June 2024.
APA style:
Numbermatics. (2024). Number 48559672108500 - Facts about the integer. Retrieved 30 June 2024, from https://numbermatics.com/n/48559672108500/
Chicago style:
Numbermatics. 2024. "Number 48559672108500 - Facts about the integer". https://numbermatics.com/n/48559672108500/
The information we have on file for 48559672108500 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 48559672108500, math, Factors of 48559672108500, curriculum, school, college, exams, university, Prime factorization of 48559672108500, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, five hundred fifty-nine billion, six hundred seventy-two million, one hundred eight thousand, five hundred.