74952528076800
74,952,528,076,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 74952528076800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2268 divisors.
74952528076800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 74952528076800:
213 × 38 × 52 × 112 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 461)See below for interesting mathematical facts about the number 74952528076800 from the Numbermatics database.
Names of 74952528076800
- Cardinal: 74952528076800 can be written as Seventy-four trillion, nine hundred fifty-two billion, five hundred twenty-eight million, seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 7.49525280768 × 1013
Factors of 74952528076800
Divisors of 74952528076800
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 256 264 270 275 288 297 300 320 324 330 352 360 363 384 396 400 405 432 440 450 461 480 484 486 495 512 528 540 550 576 594 600 605 640 648 660 675 704 720 726 729 768 792 800 810 825 864 880 891 900 922 960 968 972 990 1024 1056 1080 1089 1100 1152 1188 1200 1210 1215 1280 1296 1320 1350 1383 1408 1440 1452 1458 1485 1536 1584 1600 1620 1650 1728 1760 1782 1800 1815 1844 1920 1936 1944 1980 2025 2048 2112 2160 2178 2187 2200 2304 2305 2376 2400 2420 2430 2475 2560 2592 2640 2673 2700 2766 2816 2880 2904 2916 2970 3025 3072 3168 3200 3240 3267 3300 3456 3520 3564 3600 3630 3645 3688 3840 3872 3888 3960 4050 4096 4149 4224 4320 4356 4374 4400 4455 4608 4610 4752 4800 4840 4860 4950 5071 5120 5184 5280 5346 5400 5445 5532 5632 5760 5808 5832 5940 6050 6075 6144 6336 6400 6480 6534 6561 6600 6912 6915 7040 7128 7200 7260 7290 7376 7425 7680 7744 7776 7920 8019 8100 8192 8298 8448 8640 8712 8748 8800 8910 9075 9216 9220 9504 9600 9680 9720 9801 9900 10142 10240 10368 10560 10692 10800 10890 10935 11064 11264 11520 11525 11616 11664 11880 12100 12150 12288 12447 12672 12800 12960 13068 13122 13200 13365 13824 13830 14080 14256 14400 14520 14580 14752 14850 15213 15360 15488 15552 15840 16038 16200 16335 16596 16896 17280 17424 17496 17600 17820 18150 18225 18432 18440 19008 19200 19360 19440 19602 19800 20284 20480 20736 20745 21120 21384 21600 21780 21870 22128 22275 22528 23040 23050 23232 23328 23760 24057 24200 24300 24576 24894 25344 25355 25600 25920 26136 26244 26400 26730 27225 27648 27660 28160 28512 28800 29040 29160 29403 29504 29700 30426 30720 30976 31104 31680 32076 32400 32670 32805 33192 33792 34560 34575 34848 34992 35200 35640 36300 36450 36864 36880 37341 38016 38400 38720 38880 39204 39600 40095 40568 40960 41472 41490 42240 42768 43200 43560 43740 44256 44550 45056 45639 46080 46100 46464 46656 47520 48114 48400 48600 49005 49788 50688 50710 51200 51840 52272 52488 52800 53460 54450 54675 55296 55320 55781 56320 57024 57600 58080 58320 58806 59008 59400 60852 61440 61952 62208 62235 63360 64152 64800 65340 65610 66384 66825 67584 69120 69150 69696 69984 70400 71280 72171 72600 72900 73728 73760 74682 76032 76065 76800 77440 77760 78408 79200 80190 81136 81675 82944 82980 84480 85536 86400 87120 87480 88209 88512 89100 90112 91278 92160 92200 92928 93312 95040 96228 96800 97200 98010 99576 101376 101420 102400 103680 103725 104544 104976 105600 106920 108900 109350 110592 110640 111562 112023 112640 114048 115200 116160 116640 117612 118016 118800 120285 121704 122880 123904 124416 124470 126720 126775 128304 129600 130680 131220 132768 133650 135168 136917 138240 138300 139392 139968 140800 142560 144342 145200 145800 147015 147520 149364 152064 152130 153600 154880 155520 156816 158400 160380 162272 163350 164025 165888 165960 167343 168960 171072 172800 174240 174960 176418 177024 178200 182556 184320 184400 185856 186624 186705 190080 192456 193600 194400 196020 199152 200475 202752 202840 204800 207360 207450 209088 209952 211200 213840 217800 218700 221184 221280 223124 224046 225280 228096 228195 230400 232320 233280 235224 236032 237600 240570 243408 245025 247808 248832 248940 253440 253550 256608 259200 261360 262440 264627 265536 267300 270336 273834 276480 276600 278784 278905 279936 281600 285120 288684 290400 291600 294030 295040 298728 304128 304260 307200 309760 311040 311175 313632 316800 320760 324544 326700 328050 331776 331920 334686 336069 337920 342144 345600 348480 349920 352836 354048 356400 360855 365112 368640 368800 371712 373248 373410 380160 380325 384912 387200 388800 392040 398304 400950 405504 405680 410751 414720 414900 418176 419904 422400 427680 435600 437400 441045 442560 446248 448092 450560 456192 456390 460800 464640 466560 470448 472064 475200 481140 486816 490050 495616 497664 497880 502029 506880 507100 513216 518400 522720 524880 529254 531072 534600 547668 552960 553200 557568 557810 559872 560115 563200 570240 577368 580800 583200 588060 590080 597456 601425 608256 608520 614400 619520 622080 622350 627264 633600 641520 649088 653400 656100 663552 663840 669372 672138 675840 684288 684585 691200 696960 699840 705672 708096 712800 721710 730224 735075 737600 743424 746496 746820 760320 760650 769824 774400 777600 784080 793881 796608 801900 811008 811360 821502 829440 829800 836352 836715 839808 844800 855360 871200 874800 882090 885120 892496 896184 912384 912780 921600 929280 933120 933525 940896 944128 950400 962280 973632 980100 991232 995328 995760 1004058 1008207 1013760 1014200 1026432 1036800 1045440 1049760 1058508 1062144 1069200 1095336 1105920 1106400 1115136 1115620 1119744 1120230 1126400 1140480 1140975 1154736 1161600 1166400 1176120 1180160 1194912 1202850 1216512 1217040 1232253 1239040 1244160 1244700 1254528 1267200 1283040 1298176 1306800 1312200 1323135 1327680 1338744 1344276 1351680 1368576 1369170 1382400 1393920 1394525 1399680 1411344 1416192 1425600 1443420 1460448 1470150 1475200 1486848 1492992 1493640 1506087 1520640 1521300 1539648 1548800 1555200 1568160 1587762 1593216 1603800 1622720 1643004 1658880 1659600 1672704 1673430 1679616 1680345 1689600 1710720 1742400 1749600 1764180 1770240 1784992 1792368 1804275 1824768 1825560 1843200 1858560 1866240 1867050 1881792 1888256 1900800 1924560 1947264 1960200 1990656 1991520 2008116 2016414 2027520 2028400 2052864 2053755 2073600 2090880 2099520 2117016 2124288 2138400 2190672 2205225 2212800 2230272 2231240 2239488 2240460 2252800 2280960 2281950 2309472 2323200 2332800 2352240 2360320 2389824 2405700 2433024 2434080 2464506 2478080 2488320 2489400 2509056 2510145 2534400 2566080 2596352 2613600 2624400 2646270 2655360 2677488 2688552 2737152 2738340 2764800 2787840 2789050 2799360 2800575 2822688 2832384 2851200 2886840 2920896 2940300 2950400 2973696 2985984 2987280 3012174 3024621 3041280 3042600 3079296 3097600 3110400 3136320 3175524 3186432 3207600 3245440 3286008 3317760 3319200 3345408 3346860 3359232 3360690 3379200 3421440 3422925 3484800 3499200 3528360 3540480 3569984 3584736 3608550 3649536 3651120 3696759 3717120 3732480 3734100 3763584 3776512 3801600 3849120 3894528 3920400 3969405 3983040 4016232 4032828 4055040 4056800 4105728 4107510 4147200 4181760 4183575 4199040 4234032 4248576 4276800 4381344 4410450 4425600 4460544 4462480 4478976 4480920 4518261 4561920 4563900 4618944 4646400 4665600 4704480 4720640 4779648 4811400 4868160 4929012 4956160 4976640 4978800 5018112 5020290 5041035 5068800 5132160 5192704 5227200 5248800 5292540 5310720 5354976 5377104 5474304 5476680 5529600 5575680 5578100 5598720 5601150 5645376 5664768 5702400 5773680 5841792 5880600 5900800 5971968 5974560 6024348 6049242 6082560 6085200 6158592 6161265 6195200 6220800 6272640 6351048 6372864 6415200 6490880 6572016 6615675 6638400 6690816 6693720 6718464 6721380 6758400 6842880 6845850 6969600 6998400 7056720 7080960 7139968 7169472 7217100 7299072 7302240 7393518 7434240 7464960 7468200 7527168 7530435 7603200 7698240 7789056 7840800 7938810 7966080 8032464 8065656 8113600 8211456 8215020 8294400 8363520 8367150 8398080 8401725 8468064 8497152 8553600 8762688 8820900 8851200 8921088 8924960 8957952 8961840 9036522 9123840 9127800 9237888 9292800 9331200 9408960 9441280 9559296 9622800 9736320 9858024 9953280 9957600 10036224 10040580 10082070 10137600 10264320 10268775 10385408 10454400 10497600 10585080 10621440 10709952 10754208 10948608 10953360 11090277 11151360 11156200 11197440 11202300 11290752 11329536 11404800 11547360 11683584 11761200 11801600 11949120 12048696 12098484 12165120 12170400 12317184 12322530 12390400 12441600 12545280 12550725 12702096 12745728 12830400 12981760 13144032 13231350 13276800 13381632 13387440 13436928 13442760 13554783 13685760 13691700 13939200 13996800 14113440 14161920 14279936 14338944 14434200 14604480 14787036 14868480 14929920 14936400 15054336 15060870 15123105 15206400 15396480 15578112 15681600 15877620 15932160 16064928 16131312 16227200 16422912 16430040 16588800 16727040 16734300 16796160 16803450 16936128 16994304 17107200 17525376 17641800 17702400 17849920 17915904 17923680 18073044 18247680 18255600 18475776 18483795 18585600 18662400 18817920 18882560 19118592 19245600 19472640 19716048 19847025 19915200 20072448 20081160 20164140 20275200 20528640 20537550 20770816 20908800 20995200 21170160 21242880 21419904 21508416 21897216 21906720 22180554 22302720 22312400 22394880 22404600 22581504 22591305 22809600 23094720 23367168 23522400 23603200 23898240 24097392 24196968 24340800 24634368 24645060 24780800 24883200 25090560 25101450 25205175 25404192 25491456 25660800 25963520 26288064 26462700 26553600 26763264 26774880 26873856 26885520 27109566 27371520 27383400 27878400 27993600 28226880 28323840 28559872 28677888 28868400 29208960 29574072 29859840 29872800 30108672 30121740 30246210 30412800 30792960 30806325 31156224 31363200 31755240 31864320 32129856 32262624 32454400 32845824 32860080 33270831 33454080 33468600 33592320 33606900 33872256 33988608 34214400 35050752 35283600 35404800 35699840 35847360 36146088 36495360 36511200 36951552 36967590 37171200 37324800 37635840 37652175 38237184 38491200 38945280 39432096 39694050 39830400 40144896 40162320 40328280 40664349 41057280 41075100 41541632 41817600 41990400 42340320 42485760 42839808 43016832 43813440 44361108 44605440 44624800 44789760 44809200 45163008 45182610 45619200 46189440 46734336 47044800 47206400 47796480 48194784 48393936 48681600 49268736 49290120 49766400 50181120 50202900 50410350 50808384 50982912 51321600 51927040 52576128 52925400 53107200 53549760 53747712 53771040 54219132 54743040 54766800 55451385 55756800 55987200 56453760 56647680 57119744 57355776 57736800 58417920 59148144 59745600 60217344 60243480 60492420 60825600 61585920 61612650 62312448 62726400 63510480 63728640 64259712 64525248 64908800 65691648 65720160 66541662 66908160 66937200 67184640 67213800 67744512 67773915 68428800 70101504 70567200 70809600 71399680 71694720 72292176 73022400 73903104 73935180 74342400 74649600 75271680 75304350 75615525 76474368 76982400 77890560 78864192 79388100 79660800 80289792 80324640 80656560 81328698 82114560 82150200 83635200 83980800 84680640 84971520 85679616 86033664 87626880 88722216 89249600 89579520 89618400 90326016 90365220 91238400 92378880 92418975 93468672 94089600 94412800 95592960 96389568 96787872 97363200 98537472 98580240 100362240 100405800 100820700 101616768 101965824 102643200 103854080 105152256 105850800 106214400 107099520 107542080 108438264 109486080 109533600 110902770 111513600 111974400 112907520 112956525 114239488 114711552 115473600 116835840 118296288 119491200 120434688 120486960 120984840 121993047 123171840 123225300 124624896 125452800 127020960 127457280 128519424 129050496 129817600 131440320 133083324 133816320 133874400 134369280 134427600 135489024 135547830 136857600 140203008 141134400 141619200 142799360 143389440 144584352 146044800 147806208 147870360 149299200 150543360 150608700 151231050 152948736 153964800 155781120 157728384 158776200 159321600 160649280 161313120 162657396 164229120 164300400 166354155 167270400 167961600 169361280 169943040 171359232 172067328 175253760 177444432 178499200 179236800 180652032 180730440 182476800 184757760 184837950 186937344 188179200 191185920 192779136 193575744 194726400 197074944 197160480 200724480 200811600 201641400 203233536 203321745 205286400 207708160 210304512 211701600 212428800 214199040 215084160 216876528 219067200 221805540 223027200 223948800 225815040 225913050 228478976 229423104 230947200 233671680 236592576 238982400 240869376 240973920 241969680 243986094 246343680 246450600 250905600 254041920 254914560 257038848 258100992 259635200 262880640 266166648 267748800 268738560 268855200 270978048 271095660 273715200 277256925 280406016 282268800 283238400 285598720 286778880 289168704 292089600 295612416 295740720 301086720 301217400 302462100 305897472 307929600 311562240 315456768 317552400 318643200 321298560 322626240 325314792 328458240 328600800 332708310 334540800 335923200 338722560 338869575 342718464 344134656 350507520 354888864 356998400 358473600 361304064 361460880 365979141 369515520 369675900 373874688 376358400 382371840 385558272 387151488 389452800 394320960 401448960 401623200 403282800 406467072 406643490 410572800 420609024 423403200 424857600 428398080 430168320 433753056 438134400 443611080 447897600 451630080 451826100 456957952 458846208 461894400 467343360 473185152 477964800 481947840 483939360 487972188 492687360 492901200 501811200 508083840 509829120 514077696 516201984 519270400 525761280 532333296 535497600 537710400 541956096 542191320 547430400 554513850 560812032 564537600 571197440 573557760 578337408 584179200 591224832 591481440 602173440 602434800 604924200 609965235 615859200 623124480 630913536 635104800 637286400 642597120 645252480 650629584 657201600 665416620 669081600 671846400 677445120 677739150 685436928 688269312 701015040 709777728 713996800 716947200 722608128 722921760 731958282 739031040 739351800 752716800 764743680 771116544 774302976 778905600 788641920 803246400 806565600 812934144 813286980 821145600 831770775 841218048 846806400 849715200 856796160 860336640 867506112 876268800 887222160 903260160 903652200 917692416 923788800 934686720 946370304 955929600 963895680 967878720 975944376 985374720 985802400 1003622400 1016167680 1016608725 1028155392 1032403968 1038540800 1051522560 1064666592 1070995200 1075420800 1083912192 1084382640 1109027700 1121624064 1129075200 1142394880 1147115520 1156674816 1168358400 1182962880 1204346880 1204869600 1209848400 1219930470 1231718400 1261827072 1270209600 1274572800 1285194240 1290504960 1301259168 1314403200 1330833240 1343692800 1354890240 1355478300 1370873856 1376538624 1402030080 1419555456 1427993600 1433894400 1445843520 1463916564 1478062080 1478703600 1505433600 1529487360 1542233088 1548605952 1557811200 1577283840 1606492800 1613131200 1625868288 1626573960 1642291200 1663541550 1682436096 1693612800 1713592320 1720673280 1735012224 1752537600 1774444320 1806520320 1807304400 1829895705 1847577600 1869373440 1892740608 1911859200 1927791360 1935757440 1951888752 1971604800 2007244800 2032335360 2033217450 2056310784 2064807936 2103045120 2129333184 2141990400 2150841600 2167824384 2168765280 2218055400 2258150400 2284789760 2294231040 2313349632 2336716800 2365925760 2409739200 2419696800 2439860940 2463436800 2523654144 2540419200 2549145600 2570388480 2581009920 2602518336 2628806400 2661666480 2709780480 2710956600 2753077248 2804060160 2839110912 2855987200 2867788800 2891687040 2927833128 2956124160 2957407200 3010867200 3049826175 3084466176 3097211904 3115622400 3154567680 3212985600 3226262400 3251736576 3253147920 3327083100 3364872192 3387225600 3427184640 3441346560 3470024448 3505075200 3548888640 3613040640 3614608800 3659791410 3695155200 3785481216 3823718400 3855582720 3871514880 3903777504 3943209600 4064670720 4066434900 4112621568 4129615872 4206090240 4258666368 4283980800 4301683200 4337530560 4436110800 4516300800 4588462080 4626699264 4673433600 4731851520 4819478400 4839393600 4879721880 4926873600 5047308288 5080838400 5140776960 5162019840 5205036672 5257612800 5323332960 5419560960 5421913200 5608120320 5678221824 5711974400 5735577600 5783374080 5855666256 5914814400 6021734400 6099652350 6168932352 6194423808 6309135360 6425971200 6452524800 6503473152 6506295840 6654166200 6774451200 6854369280 6882693120 6940048896 7010150400 7097777280 7229217600 7319582820 7390310400 7570962432 7647436800 7711165440 7743029760 7807555008 7886419200 8129341440 8132869800 8259231744 8412180480 8517332736 8567961600 8603366400 8675061120 8872221600 9032601600 9149478525 9253398528 9346867200 9463703040 9638956800 9678787200 9759443760 10094616576 10161676800 10281553920 10324039680 10410073344 10515225600 10646665920 10839121920 10843826400 11356443648 11423948800 11471155200 11566748160 11711332512 11829628800 12199304700 12337864704 12388847616 12618270720 12851942400 12905049600 13012591680 13308332400 13548902400 13765386240 13880097792 14020300800 14195554560 14458435200 14639165640 14780620800 15141924864 15422330880 15486059520 15615110016 15772838400 16258682880 16265739600 16824360960 17034665472 17135923200 17206732800 17350122240 17744443200 18065203200 18298957050 18506797056 18927406080 19277913600 19357574400 19518887520 20323353600 20563107840 20648079360 20820146688 21030451200 21293331840 21687652800 22712887296 22942310400 23133496320 23422665024 23659257600 24398609400 24777695232 25236541440 25703884800 25810099200 26025183360 26616664800 27097804800 27760195584 28040601600 28391109120 28916870400 29278331280 30283849728 30844661760 30972119040 31230220032 31545676800 32517365760 32531479200 34069330944 34271846400 34413465600 34700244480 35488886400 36597914100 37013594112 37854812160 38555827200 38715148800 39037775040 40646707200 41296158720 41640293376 42060902400 42586663680 43375305600 45425774592 46266992640 46845330048 47318515200 48797218800 50473082880 51407769600 51620198400 52050366720 53233329600 54195609600 55520391168 56782218240 57833740800 58556662560 61689323520 61944238080 62460440064 63091353600 65062958400 68138661888 68826931200 69400488960 70977772800 73195828200 75709624320 77111654400 77430297600 78075550080 81293414400 83280586752 84121804800 85173327360 86750611200 90851549184 92533985280 93690660096 94637030400 97594437600 102815539200 103240396800 104100733440 106466659200 111040782336 113564436480 115667481600 117113325120 123888476160 124920880128 126182707200 130125916800 136277323776 138800977920 141955545600 146391656400 151419248640 154223308800 154860595200 156151100160 162586828800 166561173504 170346654720 173501222400 185067970560 187381320192 189274060800 195188875200 206480793600 208201466880 212933318400 227128872960 231334963200 234226650240 249841760256 252365414400 260251833600 272554647552 277601955840 283911091200 292783312800 308446617600 309721190400 312302200320 333122347008 340693309440 347002444800 374762640384 378548121600 390377750400 416402933760 425866636800 454257745920 462669926400 468453300480 499683520512 520503667200 555203911680 567822182400 585566625600 619442380800 624604400640 681386618880 694004889600 749525280768 757096243200 780755500800 832805867520 851733273600 925339852800 936906600960 999367041024 1041007334400 1135644364800 1171133251200 1249208801280 1362773237760 1388009779200 1499050561536 1561511001600 1665611735040 1703466547200 1873813201920 2082014668800 2271288729600 2342266502400 2498417602560 2776019558400 2998101123072 3123022003200 3406933094400 3747626403840 4164029337600 4684533004800 4996835205120 6246044006400 6813866188800 7495252807680 8328058675200 9369066009600 12492088012800 14990505615360 18738132019200 24984176025600 37476264038400 74952528076800
- Sum of all divisors σ(n): 307105768047078
- Sum of proper divisors (its aliquot sum) s(n): 232153239970278
- 74952528076800 is an abundant number, because the sum of its proper divisors (232153239970278) is greater than itself. Its abundance is 157200711893478
Bases of 74952528076800
- Binary: 100010000101011001111101100111110100000000000002
- Hexadecimal: 0x442B3ECFA000
- Base-36: QKGPS0000
Squares and roots of 74952528076800
- 74952528076800 squared (749525280768002) is 5617881465103492306698240000
- 74952528076800 cubed (749525280768003) is 421074418245303826535532630305144832000000
-
The
square root of 74952528076800 is 8657512.8112408821 -
The
cube root of 74952528076800 is 42162.7337492113
Scales and comparisons
How big is 74952528076800?- 74,952,528,076,800 seconds is equal to 2,383,258 years, 28 weeks, 4 days.
-
To count from 1 to 74,952,528,076,800 would take you about five million, nine hundred fifty-eight thousand, one hundred forty-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 74952528076800 cubic inches would be around 3513.6 feet tall.
Recreational maths with 74952528076800
- 74952528076800 backwards is 00867082525947
- The number of decimal digits it has is: 14
- The sum of 74952528076800's digits is 63
- 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 74952528076800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 74952528076800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/74952528076800/
Chicago style:
Numbermatics. 2024. "Number 74952528076800 - Facts about the integer". https://numbermatics.com/n/74952528076800/
The information we have on file for 74952528076800 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 74952528076800, math, Factors of 74952528076800, curriculum, school, college, exams, university, Prime factorization of 74952528076800, STEM, science, technology, engineering, physics, economics, calculator, seventy-four trillion, nine hundred fifty-two billion, five hundred twenty-eight million, seventy-six thousand, eight hundred.