1044399789486900
1,044,399,789,486,900 is an even composite number composed of seven prime numbers multiplied together.
1044399789486900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 1044399789486900:
22 × 33 × 52 × 72 × 114 × 31 × 17393
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 31 × 17393)See below for interesting mathematical facts about the number 1044399789486900 from the Numbermatics database.
Names of 1044399789486900
- Cardinal: 1044399789486900 can be written as One quadrillion, forty-four trillion, three hundred ninety-nine billion, seven hundred eighty-nine million, four hundred eighty-six thousand, nine hundred.
Scientific notation
- Scientific notation: 1.0443997894869 × 1015
Factors of 1044399789486900
Divisors of 1044399789486900
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 25 27 28 30 31 33 35 36 42 44 45 49 50 54 55 60 62 63 66 70 75 77 84 90 93 98 99 100 105 108 110 121 124 126 132 135 140 147 150 154 155 165 175 180 186 189 196 198 210 217 220 225 231 242 245 252 270 275 279 294 297 300 308 310 315 330 341 350 363 372 378 385 396 420 434 441 450 462 465 484 490 495 525 539 540 550 558 588 594 605 620 630 651 660 675 682 693 700 726 735 756 770 775 825 837 847 868 882 900 924 930 945 980 990 1023 1050 1078 1085 1089 1100 1116 1155 1188 1210 1225 1260 1302 1323 1331 1350 1364 1386 1395 1452 1470 1485 1519 1540 1550 1575 1617 1650 1674 1694 1705 1764 1815 1860 1890 1925 1953 1980 2046 2079 2100 2156 2170 2178 2205 2310 2325 2387 2420 2450 2475 2541 2604 2646 2662 2695 2700 2772 2790 2940 2970 3025 3038 3069 3100 3150 3234 3255 3267 3300 3348 3388 3410 3465 3630 3675 3751 3780 3850 3906 3993 4092 4158 4185 4235 4340 4356 4410 4557 4620 4650 4725 4774 4851 4900 4950 5082 5115 5292 5324 5390 5425 5445 5580 5775 5859 5929 5940 6050 6076 6138 6300 6468 6510 6534 6615 6655 6820 6930 6975 7161 7260 7350 7425 7502 7595 7623 7700 7812 7986 8085 8316 8370 8470 8525 8820 9075 9114 9207 9300 9317 9450 9548 9702 9765 9900 10164 10230 10395 10780 10850 10890 11025 11253 11550 11718 11858 11935 11979 12100 12276 12705 13020 13068 13230 13310 13475 13671 13860 13950 14322 14553 14641 14700 14850 15004 15190 15246 15345 15972 16170 16275 16335 16709 16740 16940 17050 17325 17393 17787 18150 18228 18414 18634 18755 18900 19404 19530 19965 20460 20790 20925 21175 21483 21700 21780 22050 22506 22785 22869 23100 23436 23716 23870 23958 24255 25410 25575 26257 26460 26620 26950 27225 27342 27900 27951 28644 29106 29282 29295 29645 29700 30380 30492 30690 32340 32550 32670 33075 33275 33418 33759 34100 34650 34786 35574 35805 35937 36300 36828 37268 37510 37975 38115 39060 39930 40425 41013 41261 41580 41850 42350 42966 43923 44100 45012 45570 45738 46035 46585 47740 47916 48510 48825 50127 50820 51150 51975 52179 52514 53361 53900 54450 54684 55902 56265 58212 58564 58590 59290 59675 59895 61380 63525 64449 65100 65219 65340 66150 66550 66836 67518 68355 69300 69572 71148 71610 71874 72765 73205 75020 75950 76230 76725 78771 79860 80850 81675 82026 82522 83545 83700 83853 84700 85932 86965 87846 88935 91140 91476 92070 93170 93775 97020 97650 99825 100254 101277 102300 102487 103950 104358 105028 106722 107415 108900 111804 112530 113925 114345 117180 118580 119350 119790 121275 121751 123783 127050 128898 130438 131285 131769 132300 133100 135036 136710 139755 143220 143748 145530 146410 146475 148225 150381 151900 152460 153450 156537 157542 160083 161700 163350 164052 165044 167090 167706 168795 173930 175692 177870 179025 179685 183799 184140 186340 187550 190575 191323 195300 195657 199650 200508 202554 204974 205065 206305 207900 208716 213444 214830 219615 225060 227850 228690 230175 232925 236313 238700 239580 242550 243502 247566 250635 251559 254100 257796 260876 260895 262570 263538 266805 273420 279510 281325 288827 291060 292820 292950 296450 299475 300762 306900 307461 313074 315084 320166 322245 326095 326700 334180 335412 337590 341775 347860 355740 358050 359370 363825 365253 366025 367598 371349 375100 381150 382646 391314 393855 395307 399300 405108 409948 410130 412610 417725 419265 429660 434825 439230 444675 451143 453871 455700 457380 460350 465850 469611 472626 485100 487004 495132 501270 503118 506385 512435 521790 525140 527076 533610 537075 539183 551397 559020 562650 571725 573969 577654 585900 586971 592900 598950 601524 608755 614922 618915 626148 640332 644490 652190 656425 658845 675180 683550 698775 708939 716100 717409 718740 727650 730506 732050 735196 742698 751905 762300 765292 782628 782685 787710 790614 800415 820260 825220 835450 838530 843975 852257 866481 869650 878460 889350 898425 902286 907742 918995 920700 922383 931700 939222 945252 956615 978285 1002540 1006236 1012770 1024870 1025325 1031525 1043580 1067220 1074150 1078366 1095759 1098075 1102794 1114047 1125300 1143450 1147938 1155308 1173942 1181565 1197900 1217510 1229844 1237830 1253175 1257795 1288980 1304380 1304475 1312850 1317690 1334025 1339261 1361613 1367100 1397550 1417878 1434818 1444135 1455300 1461012 1464100 1485396 1503810 1537305 1565370 1575420 1581228 1600830 1611225 1617549 1630475 1654191 1670900 1677060 1687950 1704514 1721907 1732962 1739300 1760913 1778700 1796850 1804572 1815484 1826265 1837990 1844766 1856745 1878444 1913230 1956570 1969275 1976535 2021789 2025540 2049740 2050650 2063050 2096325 2104553 2148300 2152227 2156732 2191518 2196150 2205588 2228094 2255715 2269355 2286900 2295876 2347884 2348055 2363130 2435020 2475660 2506350 2515590 2531925 2556771 2562175 2599443 2608950 2625700 2635380 2668050 2678522 2695915 2723226 2756985 2767149 2795100 2835756 2869636 2869845 2888270 2934855 3007620 3043775 3074610 3094575 3130740 3177097 3201660 3222450 3235098 3260950 3287277 3294225 3308382 3375900 3409028 3443814 3465924 3521826 3544695 3587045 3593700 3652530 3675980 3689532 3713490 3759525 3774281 3826460 3913140 3913425 3938550 3953070 4002075 4017783 4043578 4084839 4101300 4126100 4192650 4209106 4261285 4304454 4332405 4383036 4392300 4456188 4511430 4538710 4594975 4611915 4696110 4726260 4783075 4852647 4891425 4962573 5012700 5031180 5063850 5113542 5124350 5165721 5198886 5217900 5336100 5357044 5391830 5446452 5478795 5513970 5534298 5570235 5739690 5776540 5869710 5907825 5931013 6065367 6087550 6149220 6189150 6288975 6313659 6354194 6444900 6456681 6470196 6521900 6574554 6588450 6616764 6696305 6808065 6887628 7043652 7089390 7174090 7220675 7305060 7426980 7519050 7548562 7670313 7686525 7798329 7826850 7877100 7906140 8004150 8035566 8087156 8087745 8169678 8270955 8385300 8418212 8522570 8608908 8609535 8664810 8804565 9022860 9077420 9131325 9189950 9223830 9283725 9374827 9392220 9531291 9566150 9705294 9782850 9882675 9925146 10108945 10127700 10227084 10248700 10331442 10397772 10522765 10761135 10783660 10957590 11027940 11068596 11140470 11278575 11322843 11346775 11479380 11739420 11740275 11815650 11862026 12053349 12130734 12175100 12254517 12378300 12577950 12627318 12708388 12783855 12913362 12997215 13149108 13176900 13392610 13479575 13616130 13784925 13835745 14178780 14348180 14349225 14441350 14557941 14674275 14731871 15038100 15097124 15340626 15373050 15596658 15653700 15885485 16008300 16071132 16175490 16339356 16436385 16541910 17045140 17219070 17329620 17609130 17723475 17793039 17935225 18196101 18262650 18379900 18447660 18567450 18749654 18871405 18940977 19062582 19132300 19370043 19410588 19565700 19765350 19850292 20088915 20217890 20424195 20662884 21045530 21306425 21522270 21662025 21915180 22239679 22280940 22557150 22645686 22693550 23010939 23059575 23150083 23480550 23631300 23724052 24106698 24261468 24263235 24509034 24812865 25155900 25254636 25567710 25826724 25828605 25994430 26419967 26785220 26959150 27232260 27393975 27569850 27671490 27851175 28124481 28593873 28698450 28882700 29115882 29348550 29463742 29655065 30326835 30681252 30746100 31193316 31568295 31770970 32283405 32350980 32872770 33083820 33481525 33968529 34040325 34438140 35218260 35446950 35586078 35870450 36160047 36392202 36525300 37134900 37499308 37742810 37881954 38125164 38351565 38740086 38991645 39530700 40177830 40435780 40438725 40848390 41354775 41517091 42091060 42612850 43044540 43047675 43324050 44022825 44195613 44479358 45114300 45291372 45387100 46021878 46119150 46300166 46874135 46961100 47656455 48213396 48526470 49018068 49625730 50544725 51135420 51657210 51988860 52613825 52839934 53379117 53805675 53918300 54588303 54787950 55139700 55342980 55702350 56248962 56614215 56822931 57187746 57396900 58231764 58697100 58927484 59310130 60266745 60653670 61272585 63136590 63541940 63919275 64566810 64986075 65241143 65745540 66719037 66963050 67937058 68080650 69178725 69450249 70893900 71172156 71740900 72320094 72784404 72789705 73659355 75485620 75763908 76703130 77480172 77983290 79259901 79427425 80355660 80877450 81696780 82181925 82709550 83034182 84373443 85225700 85781619 86095350 86648100 88045650 88391226 88958716 88965195 90980505 92043756 92238300 92600332 93748270 94357025 94704885 95312910 96850215 97052940 99251460 100444575 101089450 101905587 102120975 103123097 103314420 105227650 105679868 106758234 107611350 109176606 109575900 111198395 111404700 112497924 113228430 113645862 114375492 115054695 115750415 118620260 120533490 121307340 121316175 122545170 124064325 124551273 126273180 127838550 129133620 129143025 129972150 130482286 132099835 132586839 133438074 133926100 135874116 136161300 138357450 138900498 140622405 142969365 144640188 145579410 147318710 148275325 151634175 153406260 155966580 157841475 158519802 158854850 160137351 161417025 161754900 162050581 164363850 165419100 166068364 168746886 169842645 171563238 172190700 176091300 176782452 177930390 180800235 181961010 187496540 188714050 189409770 190625820 191757825 193700430 194958225 195723429 200157111 200889150 202178900 203811174 204241950 206246194 207585455 208350747 210455300 213516468 215222700 218353212 220978065 222396790 226456860 227291724 230109390 231500830 234370675 237779703 238282275 241066980 242632350 245090340 248128650 249102546 253120329 254650913 255677100 258286050 259944300 260964572 264199670 265173678 266876148 266895585 272941515 276714900 277800996 281244810 283071075 284114655 285938730 290619637 291158820 294637420 296550650 301333725 303268350 306362925 309369291 315682950 317039604 317709700 320274702 322834050 324101162 326205715 328727700 333595185 337493772 339685290 343126476 347251245 355860780 361600470 363922020 363948525 368296775 373653819 377428100 378819540 383515650 387400860 389916450 391446858 396299505 397760517 400314222 401778300 407622348 408483900 412492388 415170910 416701494 421867215 428908095 441956130 444793580 444825975 454902525 456688001 460218780 463001660 468741350 473524425 475559406 476564550 484251075 485264700 486151743 496257300 498205092 506240658 509301826 509527935 515615485 516572100 528399340 530347356 533791170 545883030 555991975 562489620 566142150 568229310 571877460 575273475 578752075 581239274 587170287 593101300 600471333 602667450 606536700 612725850 618738582 622756365 625052241 631365900 640549404 645668100 648202324 652411430 660499175 662934195 667190370 679370580 694502490 703112025 713339109 714846825 717652573 723200940 727897050 736593550 747307638 763952739 767031300 779832900 782893716 792599010 795521034 800628444 800686755 810252905 830341820 833402988 843734430 849213225 857816190 871858911 883912260 889651950 904001175 909805050 913376002 928107873 937482700 947048850 951118812 953129100 968502150 972303486 978617145 1000785555 1012481316 1018603652 1019055870 1031230970 1037927275 1041753735 1067582340 1091766060 1104890325 1111983950 1120961457 1132284300 1134354067 1136458620 1150546950 1157504150 1162478548 1174340574 1188898515 1200942666 1205334900 1225451700 1237477164 1245512730 1250104482 1265601645 1273254565 1304822860 1320998350 1325868390 1334380740 1334477925 1364707575 1370064003 1389004980 1406224050 1420573275 1426678218 1429693650 1435305146 1453098185 1455794100 1458455229 1473187100 1494615276 1527905478 1546846455 1585198020 1591042068 1601373510 1620505810 1631028575 1667975925 1687468860 1698426450 1715632380 1736256225 1743717822 1761510861 1779303900 1782556391 1808002350 1819610100 1826752004 1856215746 1868269095 1894097700 1937004300 1944606972 1957234290 1981497525 1988802585 2001571110 2038111740 2062461940 2075854550 2083507470 2109336075 2144540475 2152957719 2209780650 2223967900 2241922914 2268708134 2283440005 2291858217 2301093900 2315008300 2348681148 2377797030 2401885332 2430758715 2491025460 2500208964 2531203290 2546509130 2547639675 2578077425 2615576733 2641996700 2651736780 2668955850 2729415150 2740128006 2784323619 2812448100 2841146550 2853356436 2859387300 2870610292 2906196370 2916910458 2935851435 3002356665 3055810956 3093692910 3113781825 3125261205 3196816007 3202747020 3241011620 3262057150 3314670975 3335951850 3396852900 3403062201 3472512450 3487435644 3523021722 3565112782 3566695545 3588262865 3616004700 3712431492 3736538190 3819763695 3914468580 3962995050 3977605170 4003142220 4003433775 4051264525 4110192009 4151709100 4167014940 4218672150 4289080950 4305915438 4359294555 4375365687 4419561300 4483845828 4537416268 4566880010 4583716434 4640539365 4755594060 4861517430 4893085725 5003927775 5023568011 5062406580 5093018260 5095279350 5156154850 5208768675 5231153466 5337911700 5347669173 5458830300 5480256012 5568647238 5604807285 5671770335 5682293100 5812392740 5833820916 5871702870 5944492575 6004713330 6187385820 6227563650 6250522410 6328008225 6366272825 6393632014 6458873157 6524114300 6629341950 6671903700 6806124402 6850320015 6875574651 6945024900 7046043444 7130225564 7133391090 7176525730 7265490925 7292276145 7473076380 7639527390 7734232275 7846730199 7894178303 7925990100 7955210340 8006867550 8102529050 8220384018 8437344300 8578161900 8611830876 8718589110 8750731374 8807554305 8912781955 9133760020 9167432868 9281078730 9341345475 9590448021 9723034860 9786171450 9944012925 10007855550 10047136022 10190558700 10209186603 10312309700 10417537350 10462306932 10695338346 10764788595 11137294476 11209614570 11343540670 11417200025 11459291085 11743405740 11888985150 12009426660 12153793575 12330576027 12455127300 12477894737 12501044820 12656016450 12732545650 12787264028 12917746314 13077883665 13258683900 13612248804 13700640030 13751149302 13921618095 14266782180 14353051460 14530981850 14584552290 14679257175 15011783325 15070704033 15279054780 15468464550 15626306025 15693460398 15788356606 15984080035 16013735100 16043007519 16205058100 16440768036 17015311005 17437178220 17501462748 17615108610 17825563910 17833477725 17941314325 18562157460 18682690950 19098818475 19180896042 19376619471 19572342900 19888025850 20015711100 20094272044 20418373206 20550960045 20835074700 21390676692 21529577190 21796472775 21876828435 22419229140 22687081340 22834400050 22918582170 23202696825 23682534909 23777970300 24307587150 24661152054 24955789474 25117840055 25312032900 25465091300 25835492628 26155767330 26738345865 27401280060 27502298604 27843236190 28024036425 28358851675 28771344063 29061963700 29169104580 29358514350 30023566650 30141408066 30627559809 30936929100 31252612050 31386920796 31576713212 31968160070 32086015038 32294365785 34030622010 34251600075 34377873255 35164976077 35230217220 35651127820 35666955450 35882628650 36461380725 37365381900 37433684211 38197636950 38361792084 38753238942 39233650995 39470891515 39776051700 40836746412 41101920090 43059154380 43592945550 43753656870 44037771525 44563909775 45212112099 45668800100 45837164340 46405393650 47365069818 47952240105 48129022557 48615174300 49322304108 49911578948 50235680110 51045933015 52311534660 53476691730 53823942975 55259248121 55686472380 56048072850 56717703350 57296455425 57542688126 58717028700 60047133300 60282816132 61255119618 61652880135 62389473685 62505224100 63936320140 64172030076 64588731570 65389418325 68061244020 68503200150 68755746510 69608090475 70329952154 71047604727 71333910900 71765257300 72922761450 74867368422 75353520165 76395273900 77506477884 78467301990 78941783030 79920400175 80215037595 82203840180 85076555025 86314032189 87185891100 87507313740 88075543050 89127819550 90424224198 92810787300 94730139636 95904480210 96258045114 96883097355 100471360220 102091866030 102754800225 105494928231 106953383460 107647885950 109384142175 110518496242 112096145700 112301052633 113435406700 114592910850 115085376252 118412674545 122510239236 123305760270 124778947370 125589200275 129177463140 130778836650 133691729325 135636336297 137006400300 137511493020 139216180950 140659904308 142095209454 143856720315 145845522900 149734736844 150707040330 153137799045 156934603980 157883566060 159840800350 160430075190 161471828925 165777744363 170153110050 171889366275 172628064378 175824880385 176151086100 178255639100 180848448396 187168421055 191808960420 192516090228 193766194710 196168254975 197354457575 204183732060 205509600450 210989856462 213142814181 215295771900 218768284350 221036992484 224602105266 226060560495 229185821700 236825349090 239761200525 240645112785 246611520540 249557894740 251178400550 255229665075 261557673300 267383458650 271272672594 276296240605 278432361900 284190418908 287713440630 301414080660 306275598090 308264400675 311947368425 316484784693 319681600700 320860150380 322943657850 331555488726 336903157899 340306220100 343778732550 345256128756 351649760770 355238023635 374336842110 376767600825 386814736847 387532389420 392336509950 394708915150 401075187975 411019200900 421979712924 426285628362 431570160945 437536568700 449204210532 452121120990 473650698180 479522401050 481290225570 484415486775 497333233089 502356801100 510459330150 527474641155 534766917300 542545345188 552592481210 561505263165 575426881260 592063372725 612551196180 616528801350 623894736850 632969569386 645887315700 663110977452 673806315798 678181681485 687557465100 703299521540 710476047270 719283601575 748673684220 753535201650 765688995225 773629473694 784673019900 789417830300 802150375950 828888721815 852571256724 863140321890 879124401925 904242241980 935842105275 949454354079 959044802100 962580451140 968830973550 994666466178 1020918660300 1054949282310 1065714070905 1105184962420 1123010526330 1130302802475 1160444210541 1184126745450 1203225563925 1233057602700 1247789473700 1265939138772 1347612631596 1356363362970 1381481203025 1420952094540 1438567203150 1491999699267 1507070403300 1531377990450 1547258947388 1582423923465 1604300751900 1657777443630 1684515789495 1726280643780 1758248803850 1776190118175 1871684210550 1898908708158 1934073684235 1937661947100 1989332932356 2109898564620 2131428141810 2157850804725 2246021052660 2260605604950 2320888421082 2368253490900 2406451127850 2486666165445 2637373205775 2712726725940 2762962406050 2807526315825 2877134406300 2983999398534 3062755980900 3164847846930 3315554887260 3369031578990 3390908407425 3481332631623 3516497607700 3552380236350 3743368421100 3797817416316 3868147368470 4144443609075 4262856283620 4315701609450 4521211209900 4641776842164 4747271770395 4812902255700 4973332330890 5274746411550 5328570354525 5525924812100 5615052631650 5802221052705 5967998797068 6329695693860 6738063157980 6781816814850 6962665263246 7104760472700 7459998496335 7736294736940 7912119617325 8288887218150 8422578947475 8631403218900 9494543540790 9670368421175 9946664661780 10443997894869 10549492823100 10657140709050 11230105263300 11604442105410 12433330827225 13563633629700 13925330526492 14919996992670 15824239234650 16577774436300 16845157894950 17406663158115 18989087081580 19340736842350 20887995789738 21314281418100 23208884210820 23736358851975 24866661654450 29011105263525 29839993985340 31648478469300 33690315789900 34813326316230 37299992481675 38681473684700 41775991579476 47472717703950 49733323308900 52219989474345 58022210527050 69626652632460 74599984963350 87033315790575 94945435407900 104439978948690 116044421054100 149199969926700 174066631581150 208879957897380 261099947371725 348133263162300 522199894743450 1044399789486900
- Sum of all divisors σ(n): 4435113659558400
- Sum of proper divisors (its aliquot sum) s(n): 3390713870071500
- 1044399789486900 is an abundant number, because the sum of its proper divisors (3390713870071500) is greater than itself. Its abundance is 2346314080584600
Bases of 1044399789486900
- Binary: 111011010111100000010001100111010010110011001101002
- Hexadecimal: 0x3B5E04674B334
- Base-36: AA7IN121X0
Squares and roots of 1044399789486900
- 1044399789486900 squared (10443997894869002) is 1090770920280281035765271610000
- 1044399789486900 cubed (10443997894869003) is 1139200919519157695698419959325801036909000000
-
The
square root of 1044399789486900 is 32317174.8376447659 -
The
cube root of 1044399789486900 is 101458.6139924027
Scales and comparisons
How big is 1044399789486900?- 1,044,399,789,486,900 seconds is equal to 33,208,682 years, 39 weeks, 5 days, 11 hours, 15 minutes.
-
To count from 1 to 1,044,399,789,486,900 would take you about ninety-nine million, six hundred twenty-six thousand and forty-eight 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 1044399789486900 cubic inches would be around 8454.9 feet tall.
Recreational maths with 1044399789486900
- 1044399789486900 backwards is 0096849879934401
- The number of decimal digits it has is: 16
- The sum of 1044399789486900's digits is 81
- 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 1044399789486900 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 1044399789486900 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/1044399789486900/
Chicago style:
Numbermatics. 2024. "Number 1044399789486900 - Facts about the integer". https://numbermatics.com/n/1044399789486900/
The information we have on file for 1044399789486900 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 1044399789486900, math, Factors of 1044399789486900, curriculum, school, college, exams, university, Prime factorization of 1044399789486900, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, forty-four trillion, three hundred ninety-nine billion, seven hundred eighty-nine million, four hundred eighty-six thousand, nine hundred.