48809855694600
48,809,855,694,600 is an even composite number composed of nine prime numbers multiplied together.
48809855694600 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 48809855694600:
23 × 32 × 52 × 7 × 11 × 13 × 19 × 73 × 19531
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 13 × 19 × 73 × 19531)See below for interesting mathematical facts about the number 48809855694600 from the Numbermatics database.
Names of 48809855694600
- Cardinal: 48809855694600 can be written as Forty-eight trillion, eight hundred nine billion, eight hundred fifty-five million, six hundred ninety-four thousand, six hundred.
Scientific notation
- Scientific notation: 4.88098556946 × 1013
Factors of 48809855694600
Divisors of 48809855694600
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 24 25 26 28 30 33 35 36 38 39 40 42 44 45 50 52 55 56 57 60 63 65 66 70 72 73 75 76 77 78 84 88 90 91 95 99 100 104 105 110 114 117 120 126 130 132 133 140 143 146 150 152 154 156 165 168 171 175 180 182 190 195 198 200 209 210 219 220 225 228 231 234 247 252 260 264 266 273 275 280 285 286 292 300 308 312 315 325 330 342 350 360 364 365 380 385 390 396 399 418 420 429 438 440 450 455 456 462 468 475 494 495 504 511 520 525 532 546 550 570 572 584 585 600 616 627 630 650 657 660 665 684 693 700 715 728 730 741 760 770 780 792 798 803 819 825 836 840 855 858 876 900 910 924 936 949 950 975 988 990 1001 1022 1045 1050 1064 1092 1095 1100 1140 1144 1155 1170 1197 1235 1254 1260 1287 1300 1314 1320 1330 1365 1368 1386 1387 1400 1425 1430 1460 1463 1482 1533 1540 1560 1575 1596 1606 1638 1650 1672 1710 1716 1729 1752 1800 1820 1825 1848 1881 1898 1900 1925 1950 1976 1980 1995 2002 2044 2090 2100 2145 2184 2190 2200 2223 2275 2280 2310 2340 2394 2409 2470 2475 2508 2520 2555 2574 2600 2628 2660 2717 2730 2772 2774 2847 2850 2860 2920 2925 2926 2964 3003 3066 3080 3135 3150 3192 3212 3276 3285 3300 3325 3420 3432 3458 3465 3575 3640 3650 3705 3762 3796 3800 3850 3900 3960 3990 4004 4015 4088 4095 4161 4180 4200 4275 4290 4380 4389 4446 4550 4599 4620 4680 4745 4788 4818 4940 4950 5005 5016 5110 5148 5187 5225 5256 5320 5434 5460 5475 5544 5548 5621 5694 5700 5720 5775 5850 5852 5928 5985 6006 6132 6175 6270 6300 6424 6435 6552 6570 6600 6643 6650 6825 6840 6916 6930 6935 7150 7227 7300 7315 7410 7524 7592 7665 7700 7800 7980 8008 8030 8151 8190 8322 8360 8541 8550 8580 8645 8760 8778 8892 9009 9100 9198 9240 9405 9490 9576 9636 9709 9880 9900 9975 10010 10220 10296 10374 10439 10450 10725 10868 10920 10950 11096 11115 11242 11388 11400 11550 11700 11704 11970 12012 12045 12264 12350 12483 12540 12600 12775 12870 13140 13167 13286 13300 13585 13650 13832 13860 13870 14235 14300 14454 14600 14630 14820 15015 15048 15257 15330 15400 15561 15675 15960 16060 16302 16380 16425 16644 16863 17082 17100 17160 17290 17325 17556 17784 18018 18031 18200 18396 18525 18810 18980 19019 19272 19418 19531 19800 19929 19950 20020 20075 20440 20475 20748 20805 20878 20900 21450 21736 21900 21945 22230 22484 22776 22995 23100 23400 23725 23940 24024 24090 24453 24700 24966 25025 25080 25550 25740 25935 26280 26334 26572 26600 27170 27300 27720 27740 28105 28470 28600 28908 29127 29260 29640 29925 30030 30514 30660 31122 31317 31350 32120 32175 32604 32760 32850 33215 33288 33726 34164 34200 34580 34650 34675 35112 36036 36062 36135 36575 36792 37050 37620 37960 38038 38325 38836 39062 39858 39900 40040 40150 40755 40950 41496 41610 41756 41800 42705 42900 43225 43800 43890 44460 44968 45045 45771 45990 46200 47025 47450 47880 48180 48545 48906 49400 49932 50050 50589 51100 51480 51870 52195 52668 53144 54093 54340 54600 55480 55575 56210 56940 57057 57816 58254 58520 58593 59787 59850 60060 60225 61028 61320 62244 62415 62634 62700 64350 65208 65700 65835 66430 67452 67925 68328 69160 69300 69350 71175 72072 72124 72270 73073 73150 74100 75075 75240 76076 76285 76650 77672 77805 78124 79716 79800 80300 81510 81900 83220 83512 84315 85410 85800 86450 87381 87780 88920 90090 90155 91542 91980 93951 94050 94900 95095 96360 97090 97655 97812 99645 99864 100100 101178 102200 103740 104025 104390 105336 106799 108186 108680 109725 111150 112420 113880 114114 114975 116508 117186 119574 119700 120120 120450 122056 122265 124488 124830 125268 125400 126217 128700 129675 131400 131670 132860 134904 135850 136717 137313 138600 138700 140525 142350 144248 144540 145635 146146 146300 148200 150150 152152 152570 153300 155610 156248 156585 159432 160600 162279 163020 163800 166075 166440 168630 170820 171171 172900 174762 175560 175779 180180 180310 180675 183084 183960 187902 188100 189800 190190 194180 195310 195624 198341 199290 200200 202356 203775 207480 208050 208780 213525 213598 214841 216372 219219 219450 222300 224840 225225 228228 228855 229950 233016 234372 239148 239400 240900 242725 244530 249660 250536 252434 252945 253903 257400 259350 260975 263340 265720 270465 271700 273434 274626 277400 281050 284700 285285 289080 291270 292292 292600 292965 298935 300300 305140 306600 311220 312075 313170 320397 324558 326040 329175 332150 337260 341640 342342 345800 349524 351558 360360 360620 361350 365365 366168 371089 375804 376200 378651 380380 381425 388360 389025 390620 396682 398580 404712 407550 410151 416100 417560 421575 427050 427196 429682 432744 436905 438438 438900 444600 450450 450775 456456 457710 459900 468744 469755 475475 478296 481800 485450 488275 489060 498225 499320 504868 505890 507806 518700 521950 526680 533995 540930 543400 546868 549252 562100 569400 570570 582540 584584 585930 595023 597870 600600 610280 611325 622440 624150 626340 631085 640794 644523 649116 657657 658350 664300 674520 683585 684684 686565 699048 703116 721240 722700 728175 730730 742178 751608 757302 760760 761709 762850 778050 781240 782925 793364 797160 811395 815100 820302 832200 843150 854100 854392 855855 859364 873810 876876 877800 878895 900900 901550 915420 919800 939510 950950 961191 970900 976550 978120 991705 996450 1009736 1011780 1015612 1037400 1043900 1067990 1074205 1081860 1093736 1096095 1098504 1113267 1124200 1135953 1141140 1144275 1165080 1171860 1190046 1195740 1222650 1230453 1248300 1252680 1262170 1264725 1269515 1281588 1289046 1298232 1315314 1316700 1328600 1352325 1367170 1369368 1373130 1388387 1406232 1425763 1426425 1445400 1456350 1461460 1464825 1484356 1494675 1503887 1514604 1523418 1525700 1556100 1565850 1586728 1601985 1622790 1630200 1640604 1686300 1708200 1711710 1718728 1747620 1753752 1757790 1777321 1785069 1801800 1803100 1826825 1830840 1855445 1879020 1893255 1901900 1922382 1933569 1941800 1953100 1983410 1992900 2023560 2031224 2050755 2087800 2135980 2148410 2163720 2184525 2192190 2226534 2271906 2282280 2285127 2288550 2343720 2348775 2380092 2391480 2445300 2460906 2496600 2524340 2529450 2539030 2563176 2578092 2597623 2630628 2633400 2669975 2704650 2734340 2746260 2776774 2792933 2851526 2852850 2912700 2922920 2929650 2968712 2975115 2989350 3007774 3029208 3046836 3051400 3112200 3131700 3155425 3203970 3222615 3245580 3281208 3288285 3339801 3372600 3417925 3423420 3432825 3495240 3515580 3554642 3570138 3606200 3653650 3710890 3758040 3786510 3803800 3808545 3844764 3867138 3906200 3966820 3985800 4056975 4081979 4101510 4165161 4271960 4277289 4279275 4296820 4369050 4384380 4394475 4453068 4511661 4543812 4570254 4577100 4697550 4760184 4805955 4824157 4890600 4921812 4958525 5048680 5058900 5078060 5156184 5195246 5261256 5331963 5339950 5371025 5409300 5468680 5480475 5492520 5553548 5566335 5585866 5679765 5703052 5705700 5825400 5859300 5950230 5978700 6015548 6093672 6152265 6263400 6310850 6347575 6407940 6445230 6491160 6576570 6679602 6835850 6846840 6865650 6941935 7031160 7109284 7128815 7140276 7307300 7421780 7519435 7573020 7617090 7689528 7734276 7792869 7933640 8009925 8113950 8163958 8203020 8330322 8378799 8554578 8558550 8593640 8738100 8768760 8788950 8886605 8906136 8925345 9023322 9087624 9140508 9154200 9277225 9395100 9466275 9611910 9648314 9667845 9843624 9917050 9980341 10117800 10156120 10253775 10390492 10663926 10679900 10742050 10818600 10960950 11107096 11132670 11171732 11359530 11406104 11411400 11425635 11718600 11900460 11957400 12031096 12245937 12304530 12495483 12621700 12695150 12815880 12831867 12890460 12988115 13153140 13359204 13534983 13671700 13731300 13883870 13964665 14218568 14257630 14280552 14472471 14614600 14843560 14875575 15038870 15146040 15234180 15468552 15585738 15683393 15995889 16019850 16113075 16227900 16327916 16406040 16441425 16660644 16699005 16757598 17109156 17117100 17476200 17577900 17773210 17850690 18046644 18281016 18534919 18554450 18790200 18932550 19042725 19223820 19296628 19335690 19550531 19834100 19960682 20409895 20507550 20780984 20825805 21327852 21359800 21386445 21484100 21921900 22265340 22343464 22558305 22719060 22851270 23378607 23800920 24029775 24120785 24491874 24609060 24990966 25136397 25243400 25390300 25663734 25780920 25976230 26306280 26659815 26718408 27069966 27089497 27343400 27462600 27767740 27831675 27929330 28398825 28515260 28573853 28944942 29751150 29941023 30077740 30468360 30761325 31171476 31366786 31991778 32039700 32226150 32455800 32655832 32882850 33321288 33398010 33515196 33769099 34218312 34234200 34709675 35155800 35546420 35644075 35701380 36093288 36737811 37069838 37108900 37597175 37865100 38085450 38447640 38593256 38671380 38964345 39101062 39668200 39921364 40819790 41015100 41651610 41893995 42655704 42772890 42968200 43417413 43843800 44433025 44530680 44626725 45116610 45438120 45702540 46757214 47050179 48059550 48241570 48339225 48983748 49218120 49901705 49981932 50272794 50780600 51327468 51952460 53065727 53319630 54139932 54178994 55535480 55604757 55663350 55858660 56797650 57030520 57128175 57147706 57889884 58651593 59502300 59882046 60155480 61229685 61522650 62342952 62477415 62733572 63983556 64079400 64159335 64452300 64940575 65765700 66796020 67030392 67538198 67674915 69419350 69823325 71092840 71288150 71402760 72362355 73475622 74139676 74217800 75194350 75730200 76170900 77342760 77928690 78202124 78416965 79842728 79979445 81268491 81639580 82030200 83303220 83495025 83787990 85545780 85721559 86834826 88866050 89253450 89823069 90233220 91405080 92674595 93514428 94100358 96119100 96483140 96678450 97752655 97967496 99803410 99963864 100545588 101307297 102049475 102654936 103904920 104129025 106131454 106639260 106932225 108279864 108357988 109783751 111209514 111326700 111717320 112791525 113595300 114256350 114295412 115779768 116893035 117303186 119004600 119764092 120603925 122459370 123045300 124954830 125467144 125681985 127967112 128318670 128904600 129744433 129881150 131531400 133299075 133592040 135076396 135349830 135447485 138838700 139646650 141150537 142576300 142869265 144724710 146951244 148279352 149705115 150388700 152341800 155857380 156404248 156833930 159197181 159958890 162536982 163279160 166606440 166814271 166990050 167575980 168845495 171091560 171443118 173669652 175954779 177732100 178506900 179646138 180466440 183689055 185349190 187028856 188200716 189626479 192238200 192966280 193356900 194821725 195505310 199606820 201091176 202614594 203884109 204098950 208258050 209469975 212262908 213278520 213864450 216715976 217087065 219567502 222419028 222653400 225583050 227190600 228512700 228590824 233786070 234606372 235250895 239528184 241207850 243805473 244918740 246090600 249508525 249909660 251363970 256637340 257164677 259488866 259762300 265328635 266598150 270152792 270699660 270894970 277677400 278023785 279293300 282301074 285152600 285738530 289449420 293257965 293902488 297984467 299410230 300777400 303921891 306148425 311714760 312387075 313667860 318394362 319917780 320796675 325073964 329351253 333628542 333980100 335151960 337690990 338374575 342886236 347339304 351909558 352163461 355464200 357013800 359292276 361811775 367378110 370698380 371460089 376401432 379252958 386713800 389233299 389643450 391010620 392084825 399213640 399897225 405229188 406342455 407768218 408197900 416516100 418939950 424525816 427728900 428607795 434174130 439135004 444838056 449115345 451166100 457025400 463372975 467572140 469212744 470501790 477591543 482415700 487610946 488763275 489837480 499017050 499819320 502727940 506536485 513274680 514329354 518977732 519524600 530657270 533196300 541399320 541789940 548918755 556047570 558586600 564602148 568879437 571477060 578898840 584465175 586515930 595968934 598820460 607843782 611652327 612296850 624774150 627335720 628409925 636788724 639835560 641593350 648722165 650147928 658702506 667257084 667960200 675381980 676749150 677237425 685772472 703819116 704326922 705752685 714346325 718584552 723623550 734756220 741396760 742920178 748525575 758505916 778466598 779286900 782021240 784169650 795985905 799794450 810458376 812684910 815536436 816395800 833032200 834071355 837879900 844227475 855457800 857215590 868348260 878270008 879773895 893953401 898230690 902332200 918445275 926745950 935144280 941003580 948132395 955183086 964831400 975221892 977526550 988053759 998034100 1005455880 1013072970 1019420545 1028658708 1037955464 1056490383 1061314540 1066392600 1083579880 1085435325 1097837510 1112095140 1114380267 1129204296 1137758874 1142954120 1167699897 1168930350 1173031860 1176254475 1191937868 1197640920 1215687564 1219027365 1223304654 1224593700 1249548300 1256819850 1273577448 1283186700 1285823385 1297444330 1317405012 1326643175 1334514168 1350763960 1353498300 1354474850 1390118925 1407638232 1408653844 1411505370 1427188763 1428692650 1447247100 1466289825 1469512440 1485840356 1489922335 1497051150 1517011832 1519609455 1556933196 1558573800 1568339300 1591971810 1599588900 1625369820 1631072872 1646756265 1668142710 1675759800 1688454950 1706638311 1714431180 1736696520 1759547790 1760817305 1787906802 1796461380 1834956981 1836890550 1853491900 1857300445 1882007160 1896264790 1910366172 1946166495 1950443784 1955053100 1976107518 1996068200 2026145940 2031712275 2038841090 2057317416 2085891269 2112980766 2122629080 2143038975 2170870650 2195675020 2224190280 2228760534 2245576725 2275517748 2335399794 2337860700 2346063720 2352508950 2383875736 2387957715 2431375128 2438054730 2446609308 2449187400 2465144227 2499096600 2513639700 2532682425 2566373400 2571646770 2594888660 2634810024 2653286350 2681860203 2706996600 2708949700 2744593775 2780237850 2817307688 2823010740 2844397185 2854377526 2857385300 2894494200 2932579650 2971680712 2979844670 2994102300 3039218910 3058261635 3113866392 3136678600 3169471149 3183943620 3199177800 3243610825 3250739640 3293512530 3336285420 3343140801 3376909900 3413276622 3428862360 3519095580 3521634610 3528763425 3575813604 3592922760 3669913962 3673781100 3706983800 3714600890 3792529580 3820732344 3873798071 3892332990 3910106200 3952215036 3979929525 4052291880 4063424550 4077682180 4170356775 4171782538 4225961532 4281566289 4286077950 4341741300 4391350040 4398869475 4457521068 4469767005 4491153450 4551035496 4670799588 4675721400 4705017900 4740661975 4775915430 4876109460 4893218616 4930288454 4940268795 5027279400 5065364850 5097102725 5143293540 5189777320 5282451915 5306572700 5363720406 5417899400 5489187550 5560475700 5571901335 5646021480 5688794370 5708755052 5714770600 5838499485 5865159300 5959689340 5988204600 6078437820 6095136825 6116523270 6257673807 6338942298 6367887240 6429116925 6487221650 6587025060 6672570840 6686281602 6753819800 6826553244 7038191160 7043269220 7057526850 7135943815 7151627208 7339827924 7347562200 7395432681 7429201780 7449611675 7585059160 7598047275 7747596142 7784665980 7904430072 7959859050 8126849100 8155364360 8233781325 8340713550 8343565076 8451923064 8533191555 8563132578 8572155900 8683482600 8797738950 8804086525 8915042136 8939534010 8982306900 9174784905 9286502225 9341599176 9410035800 9481323950 9551830860 9730832475 9752218920 9860576908 9880537590 10130729700 10194205450 10286587080 10429456345 10564903830 10613145400 10727440812 10978375100 11120951400 11143802670 11377588740 11417510104 11621394213 11676998970 11730318600 11919378680 11939788575 12156875640 12190273650 12233046540 12325721135 12515347614 12677884596 12844698867 12858233850 12974443300 13174050120 13372563204 13409301015 13653106488 14086538440 14115053700 14221985925 14271887630 14679655848 14790865362 14858403560 14899223350 15196094550 15291308175 15495192284 15569331960 15847355745 15919718100 16253698200 16467562650 16681427100 16687130152 16715704005 17066383110 17126265156 17144311800 17595477900 17608173050 17879068020 17964613800 18349569810 18573004450 18773021421 18962647900 19103661720 19368990355 19461664950 19721153816 19761075180 20261459400 20388410900 20858912690 21129807660 21407831445 21454881624 21956750200 22186298043 22287605340 22348835025 22755177480 23242788426 23353997940 23879577150 24380547300 24466093080 24651442270 24701343975 25030695228 25355769192 25689397734 25716467700 25948886600 26412259575 26745126408 26818602030 27116586497 27859506675 28230107400 28443971850 28543775260 29192497425 29581730724 29798446700 30392189100 30582616350 30990384568 31288369035 31694711490 31839436200 32935125300 33362854200 33431408010 34132766220 34252530312 34864182639 35190955800 35216346100 35679719075 35758136040 36699139620 36977163405 37146008900 37546042842 37925295800 38737980710 38923329900 39522150360 40776821800 41717825380 42259615320 42665957775 42815662890 44372596086 44575210680 44697670050 45873924525 46485576852 46707995880 47759154300 48761094600 49302884540 49402687950 50061390456 51378795468 51432935400 52147281725 52824519150 53637204060 54233172994 55719013350 56887943700 57087550520 58106971065 58384994850 59163461448 59596893400 60784378200 61165232700 61628605675 62576738070 63389422980 64223494335 65870250600 66862816020 67046505075 68265532440 69728365278 70432692200 71359438150 73398279240 73954326810 74292017800 75092085684 77475961420 77846659800 79236778725 81349759491 83435650760 83578520025 85331915550 85631325780 88745192172 89395340100 91747849050 92971153704 93865107105 95518308600 96844951775 98605769080 98805375900 102757590936 104294563450 105649038300 107039157225 107274408120 108466345988 110931490215 111438026700 113775887400 116213942130 116769989700 122330465400 123257211350 125153476140 126778845960 128446988670 133725632040 134093010150 135582932485 139456730556 142718876300 147908653620 150184171368 154951922840 156441845175 158473557450 162699518982 167157040050 170663831100 171262651560 174320913195 177490384344 178790680200 183495698100 184885817025 187730214210 193689903550 197610751800 208589126900 211298076600 214078314450 216932691976 221862980430 222876053400 232427884260 233539979400 244049278473 246514422700 250306952280 256893977340 268186020300 271165864970 278913461112 285437752600 290534855325 295817307240 312883690350 316947114900 321117471675 325399037964 334314080100 341327662200 348641826390 366991396200 369771634050 375460428420 387379807100 406748797455 417178253800 428156628900 443725960860 464855768520 469325535525 488098556946 493028845400 513787954680 536372040600 542331729940 554657451075 581069710650 625767380700 633894229800 642234943350 650798075928 668628160200 677914662425 697283652780 739543268100 750920856840 774759614200 813497594910 856313257800 871604565975 887451921720 938651071050 976197113892 1084663459880 1109314902150 1162139421300 1220246392365 1251534761400 1284469886700 1355829324850 1394567305560 1479086536200 1626995189820 1743209131950 1877302142100 1952394227784 2033743987275 2218629804300 2324278842600 2440492784730 2568939773400 2711658649700 3253990379640 3486418263900 3754604284200 4067487974550 4437259608600 4880985569460 5423317299400 6101231961825 6972836527800 8134975949100 9761971138920 12202463923650 16269951898200 24404927847300 48809855694600
- Sum of all divisors σ(n): 234857268172800
- Sum of proper divisors (its aliquot sum) s(n): 186047412478200
- 48809855694600 is an abundant number, because the sum of its proper divisors (186047412478200) is greater than itself. Its abundance is 137237556783600
Bases of 48809855694600
- Binary: 10110001100100011011100001110000110111000010002
- Hexadecimal: 0x2C646E1C3708
- Base-36: HAUXRUIA0
Squares and roots of 48809855694600
- 48809855694600 squared (488098556946002) is 2382402012927676048469160000
- 48809855694600 cubed (488098556946003) is 116284698457524431592316454838478536000000
-
The
square root of 48809855694600 is 6986405.0623049333 -
The
cube root of 48809855694600 is 36545.6626717145
Scales and comparisons
How big is 48809855694600?- 48,809,855,694,600 seconds is equal to 1,552,002 years, 22 weeks, 3 days, 8 hours, 30 minutes.
-
To count from 1 to 48,809,855,694,600 would take you about three million, eight hundred eighty thousand and six 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 48809855694600 cubic inches would be around 3045.5 feet tall.
Recreational maths with 48809855694600
- 48809855694600 backwards is 00649655890884
- 48809855694600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48809855694600's digits is 72
- 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 48809855694600 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 48809855694600 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/48809855694600/
Chicago style:
Numbermatics. 2024. "Number 48809855694600 - Facts about the integer". https://numbermatics.com/n/48809855694600/
The information we have on file for 48809855694600 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 48809855694600, math, Factors of 48809855694600, curriculum, school, college, exams, university, Prime factorization of 48809855694600, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, eight hundred nine billion, eight hundred fifty-five million, six hundred ninety-four thousand, six hundred.