50824386444780
50,824,386,444,780 is an even composite number composed of nine prime numbers multiplied together.
50824386444780 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 50824386444780:
22 × 33 × 5 × 13 × 19 × 292 × 41 × 43 × 257
(2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 29 × 29 × 41 × 43 × 257)See below for interesting mathematical facts about the number 50824386444780 from the Numbermatics database.
Names of 50824386444780
- Cardinal: 50824386444780 can be written as Fifty trillion, eight hundred twenty-four billion, three hundred eighty-six million, four hundred forty-four thousand, seven hundred eighty.
Scientific notation
- Scientific notation: 5.082438644478 × 1013
Factors of 50824386444780
Divisors of 50824386444780
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 27 29 30 36 38 39 41 43 45 52 54 57 58 60 65 76 78 82 86 87 90 95 108 114 116 117 123 129 130 135 145 156 164 171 172 174 180 190 195 205 215 228 234 246 247 257 258 260 261 270 285 290 342 348 351 369 377 380 387 390 410 430 435 468 492 494 513 514 516 522 533 540 551 559 570 580 585 615 645 684 702 738 741 754 771 774 779 780 783 817 820 841 855 860 870 988 1026 1028 1044 1066 1102 1107 1118 1131 1140 1161 1170 1189 1230 1235 1247 1285 1290 1305 1404 1476 1482 1508 1542 1548 1558 1566 1599 1634 1653 1677 1682 1710 1740 1755 1763 1845 1885 1935 2052 2132 2204 2214 2223 2236 2262 2313 2322 2337 2340 2378 2451 2460 2470 2494 2523 2565 2570 2580 2610 2665 2755 2795 2964 3084 3116 3132 3198 3268 3306 3341 3354 3364 3393 3420 3510 3526 3567 3690 3705 3741 3770 3855 3870 3895 3915 4085 4205 4428 4446 4524 4626 4644 4674 4756 4797 4883 4902 4940 4959 4988 5031 5046 5130 5140 5220 5289 5330 5510 5535 5590 5655 5805 5945 6235 6396 6612 6669 6682 6708 6786 6939 7011 7020 7052 7134 7163 7353 7380 7410 7453 7482 7540 7569 7710 7740 7790 7830 7995 8170 8265 8385 8410 8815 8892 9252 9348 9594 9766 9804 9918 10023 10062 10092 10127 10179 10260 10537 10578 10621 10660 10701 10933 11020 11051 11070 11115 11180 11223 11310 11565 11610 11685 11890 12255 12470 12615 13338 13364 13572 13878 14022 14268 14326 14391 14649 14706 14820 14877 14906 14964 15093 15138 15420 15457 15580 15660 15867 15979 15990 16211 16340 16530 16705 16770 16820 16965 17630 17835 18705 19188 19532 19836 20046 20124 20254 20358 21033 21074 21156 21242 21402 21489 21866 22059 22102 22140 22230 22359 22446 22591 22620 22707 22919 23130 23220 23370 23693 23780 23985 24415 24510 24795 24940 25155 25230 26445 26676 27756 28044 28652 28782 29298 29412 29754 29812 30069 30186 30276 30381 30914 31611 31734 31863 31958 31980 32103 32422 32799 33060 33153 33345 33410 33497 33540 33669 33930 34481 34695 35055 35260 35670 35815 36163 36765 37265 37410 37845 40092 40508 40716 42066 42148 42484 42804 42978 43732 43947 44118 44204 44460 44718 44892 45182 45414 45838 46260 46371 46740 47386 47601 47937 47970 48633 48830 49020 49590 50115 50310 50460 50635 50895 51127 52685 52890 53105 53505 54665 55255 56115 57564 58596 59508 60138 60372 60762 61828 63222 63468 63479 63726 63916 64206 64467 64844 65598 66306 66690 66820 66994 67077 67338 67773 67860 68757 68962 69390 70110 71079 71340 71630 71955 72326 73245 73530 74385 74530 74820 75465 75690 77285 79335 79895 81055 84132 85956 87894 88236 89436 90207 90364 90828 91143 91676 92742 94772 94833 95202 95589 95874 95940 96889 97266 97660 98397 99180 99459 100230 100491 100620 101270 101790 102254 103443 105165 105370 105780 106210 107010 107445 108489 109330 110295 110510 111795 112230 112955 113535 114595 118465 120276 121524 126444 126958 127452 128412 128934 131196 131841 132612 133380 133988 134154 134676 135546 136981 137514 137924 138780 139113 140220 141607 142158 143260 143663 143811 143910 144652 145899 146490 147060 148770 149060 150345 150930 151380 151905 153381 154570 158055 158670 159315 159790 160515 162110 163995 165765 167485 168345 172405 175788 180414 180815 182286 185484 189666 190404 190437 191178 191748 193401 193778 194532 196794 198918 200203 200460 200982 201231 202540 203319 203580 204508 206271 206886 207727 209969 210330 210740 212420 213237 214020 214890 216137 216978 218660 219735 220590 221020 223590 224460 225910 227070 229190 231855 236930 238005 239685 243165 253916 255635 257868 263682 268308 271092 273429 273962 275028 278226 283214 284316 284499 286767 287326 287622 287820 290667 291798 292980 293683 295191 297540 298377 300690 301473 301860 303810 305573 306762 308009 309140 310329 316110 317340 317395 318630 319580 320479 321030 322335 324220 325467 327990 331530 334970 335385 336690 338865 343785 344810 355395 360828 361630 364572 379332 380874 382356 386802 387556 393588 397836 400406 401964 402462 406638 410943 412542 413772 415454 417339 419938 420660 424821 426474 429780 430989 431433 432274 433956 435461 437697 439470 441180 447180 448253 451035 451820 453091 454140 455715 458380 460143 463710 470119 473860 474165 476010 477945 479370 484445 486330 491985 497295 502455 511270 517215 527364 542445 546858 547924 556452 566428 568998 571311 573534 574652 575244 581334 583596 587366 590382 596754 600609 601380 602946 607620 609957 611146 613524 616018 618813 620658 623181 629907 632220 634790 637260 639711 640958 642060 644670 648411 650934 655139 655980 659205 663060 664651 669940 670770 673380 677730 684905 687097 687570 689620 695565 708035 710790 718315 719055 723260 729495 761748 766905 773604 800812 804924 813276 821886 825084 830908 834678 839876 849642 852948 861978 862866 864548 870922 872001 875394 878940 881049 896506 902070 904419 906182 911430 916719 920286 924027 927420 930987 940238 948330 952020 952185 955890 958740 961437 967005 968890 971413 972660 976401 983970 994590 1001015 1004910 1006155 1016595 1022540 1031355 1034430 1038635 1049845 1066185 1080685 1084890 1093716 1137996 1142622 1147068 1162668 1174732 1180764 1193508 1201218 1205892 1219914 1222292 1232036 1232829 1237626 1241316 1246362 1259814 1269580 1274463 1279422 1281916 1289340 1292967 1296822 1301868 1306383 1310278 1318410 1329302 1341540 1344759 1355460 1359273 1367145 1369810 1374194 1375140 1380429 1391130 1410357 1416070 1421580 1422495 1433835 1436630 1438110 1453335 1458990 1468415 1475955 1482683 1491885 1507365 1527865 1533810 1540045 1551645 1602395 1627335 1643772 1669356 1699284 1713933 1723956 1725732 1741844 1744002 1750788 1762098 1793012 1801827 1804140 1808838 1812364 1822860 1833438 1840572 1840891 1848054 1861974 1869543 1880476 1889721 1896660 1904370 1911780 1922874 1934010 1937780 1942826 1945233 1952802 1965417 1967940 1989180 1993953 2002030 2009820 2012310 2033190 2054715 2061291 2062710 2068860 2077270 2086695 2099690 2124105 2132370 2154945 2157165 2161370 2169780 2177305 2188485 2241265 2265455 2285244 2300715 2350595 2402436 2439828 2465658 2475252 2492724 2519628 2548926 2558844 2585934 2593644 2602639 2612766 2616003 2620556 2636820 2643147 2658604 2689518 2718546 2729597 2734290 2739620 2748388 2750157 2760858 2772081 2782260 2809781 2820714 2832140 2844990 2856555 2867670 2873260 2876220 2884311 2906670 2914239 2917980 2936830 2951910 2965366 2983770 3003045 3014730 3049785 3055730 3067620 3080090 3094065 3103290 3115905 3149535 3198555 3204790 3242055 3254670 3275695 3323255 3427866 3435485 3488004 3524196 3603654 3617676 3666876 3681782 3696108 3698487 3723948 3739086 3779442 3808740 3823389 3845748 3868020 3878901 3885652 3890466 3905604 3919149 3930834 3972449 3987906 4004060 4024620 4034277 4066380 4077819 4106603 4109430 4122582 4125420 4154540 4166227 4173390 4199380 4231071 4248210 4264740 4309890 4314330 4322740 4354610 4360005 4376970 4405245 4448049 4482530 4522095 4530910 4583595 4601430 4620135 4654935 4701190 4807185 4857065 4882005 4931316 5097852 5171868 5205278 5225532 5232006 5286294 5379036 5405481 5437092 5459194 5468580 5500314 5521716 5522673 5544162 5608629 5619562 5641428 5669163 5689980 5713110 5735340 5768622 5805887 5813340 5828478 5835699 5873660 5890183 5896251 5903820 5930732 5967540 5981859 6006090 6029460 6089101 6099570 6111460 6160180 6164145 6183873 6188130 6206580 6231810 6299070 6372315 6397110 6409580 6464835 6484110 6509340 6531915 6551390 6646510 6723795 6796365 6855732 6870970 6902145 7051785 7207308 7363564 7396974 7413415 7478172 7558884 7646778 7757802 7780932 7807917 7838298 7861668 7929441 7944898 7975812 8068554 8155638 8188791 8213206 8218860 8245164 8250471 8316243 8332454 8346780 8429343 8462142 8496420 8516807 8569665 8608729 8619780 8628660 8652933 8709220 8720010 8742717 8753940 8810490 8861617 8896098 8932261 8965060 9009135 9044190 9061820 9167190 9202860 9204455 9240270 9293891 9309870 9347715 9402380 9448605 9614370 9714130 9726165 9764010 9827085 9969765 10306455 10410556 10464012 10572588 10810962 10918388 11000628 11045346 11088324 11217258 11239124 11338326 11426220 11537244 11611774 11656956 11671398 11757447 11780366 11792502 11917347 11963718 12012180 12102831 12178202 12199140 12233457 12319809 12328290 12367746 12376260 12463620 12498681 12598140 12628369 12693213 12744630 12794220 12929670 12968220 13013195 13063830 13080015 13102780 13139639 13215735 13293020 13344147 13447590 13592730 13647985 13741940 13750785 13804290 13860405 14048905 14103570 14421555 14571195 14793948 14826830 15293556 15515604 15615834 15676596 15858882 15889796 16137108 16311276 16377582 16426412 16500942 16568019 16632486 16664908 16858686 16924284 17033614 17139330 17217458 17305866 17417661 17440020 17485434 17620980 17670549 17688753 17723234 17792196 17864522 17945577 18018270 18088380 18267303 18334380 18408910 18480540 18492435 18551619 18587782 18619740 18695430 18897210 19116945 19228740 19274879 19394505 19428260 19452330 19528020 19595745 19654170 19862245 19939530 20171385 20389095 20533015 20612910 20831135 21155355 21621924 22090692 22240245 22434516 22676652 23223548 23342796 23423751 23514894 23560732 23585004 23834694 23927436 24205662 24356404 24466914 24566373 24639618 24656580 24735492 24997362 25256738 25288029 25386426 25489260 25550421 25826187 25859340 26026390 26127660 26160030 26228151 26279278 26431470 26584851 26688294 26796783 26895180 27027405 27185460 27295970 27501570 27608580 27613365 27720810 27881673 28043145 28097810 28170977 28207140 28345815 28843110 29029435 29142390 29178495 29450915 29481255 29653660 29909295 30445505 30919365 31231668 31717764 32755164 33001884 33136038 33264972 33717372 34067228 34278660 34434916 34611732 34835322 34970868 35341098 35377506 35446468 35729044 35752041 35891154 36036540 36534606 36817820 36959427 36984870 37103238 37175564 37390860 37496043 37794420 37885107 38233890 38549758 38789010 38904660 39039585 39191490 39308340 39418917 39647205 39724490 39879060 40032441 40342770 40778190 40943955 41066030 41225820 41252355 41581215 41662270 42146715 42310710 42584035 43043645 43264665 43713585 44308085 44480490 44661305 46469455 46847502 47029788 47669388 48411324 48933828 49132746 49279236 49704057 49994724 50513476 50576058 50772852 51100842 51652374 52052780 52252983 52320060 52456302 52558556 52862940 53011647 53169702 53376588 53385839 53593566 54054810 54591940 54801909 55003140 55226730 55441620 55763346 56086290 56195620 56341954 56691630 57686220 57824637 58058870 58284780 58356990 58787235 58901830 58962510 59586735 59818590 60514155 60891010 61167285 61599045 61838730 62493405 63141845 63466065 65698195 66272076 66720735 69670644 70271253 70682196 70755012 71504082 71782308 73069212 73699119 73918854 73969740 74206476 74992086 75476531 75770214 75864087 76467780 76651263 77099516 77478561 77578020 78079170 78382980 78837834 79158313 79294410 79448980 79754553 80064882 80390349 80685540 81556380 81887910 82132060 82504710 82840095 83162430 83324540 83645019 84293430 84512931 84621420 85168070 86087290 86529330 87088305 87427170 88352745 88443765 88616170 88960980 89322610 89727885 91336515 92758095 92938910 93695004 96374395 98265492 99408114 101152116 102201684 103304748 104505966 104912604 106023294 106339404 106771678 107187132 107256123 108109620 109603818 110453460 110878281 111526692 111913477 112172580 112488129 112683908 113383260 113655321 115201021 115649274 116117740 116713980 117118755 117574470 117803660 117925020 118256751 119173470 119637180 120820583 121028310 121782020 122334570 122831865 123198090 123677460 124986810 126283690 126440145 126932130 127752105 129130935 131140755 131396390 132924255 133441470 133983915 139408365 140542506 140854885 143008164 147398238 147837708 149984172 150953062 151540428 151728174 153302526 154957122 156158340 156758949 157675668 158316626 158588820 159034941 159509106 160129764 160157517 160780698 163775820 164405727 165009420 165680190 166324860 167290038 168370723 168586860 169025862 170336140 170815307 172174580 173058660 173473911 174176610 174854340 176583929 176705490 176887530 177232340 178645220 178760205 179455770 182673030 184797135 185516190 185877820 187480215 189425535 192748790 197094585 198816228 200162205 209011932 212046588 213543356 214512246 219207636 221756562 223826954 224976258 226429593 227310642 229953789 230402042 231298548 232435683 234237510 235148940 236513502 237474939 238346940 239263659 241171047 241641166 242056620 244669140 245663730 246396180 248520285 249653141 249973620 250935057 252567380 252880290 253538793 253864260 255504210 258261870 261264915 262281510 262792780 265058235 265848510 266882940 266929195 267967830 274009545 278816730 281085012 281709770 289123185 294796476 301906124 303456348 306605052 309914244 313517898 316633252 318069882 319018212 320315034 321561396 328811454 331360380 334580076 335740431 336741446 338051724 340965963 341630614 345603063 346947822 348353220 351356265 353167858 353410980 353775060 354770253 357520410 358911540 362461749 365346060 366222701 368495595 369594270 371032380 374960430 377382655 378851070 379320435 381049531 383256315 385497580 387392805 394189170 395791565 398772765 400324410 401951745 418225095 422564655 429024492 443513124 447653908 449952516 452859186 454621284 459907578 460804084 464871366 468475020 473027004 474949878 478527318 480472551 482342094 483282332 491327460 497040570 499306282 501870114 505112169 505760580 507077586 511008420 512445921 516523740 520421733 522529830 524563020 529751787 530116470 531697020 533858390 535935660 536280615 548019090 554391405 557633460 559567385 562440645 563419540 568276605 576005105 578246370 591283755 604102915 627035796 636139764 640630068 657622908 671480862 673482892 679288779 681931926 683261228 691206126 693895644 702712530 706335716 709540506 712424817 715040820 724923498 732445402 736991190 739188540 748959423 749920860 754765310 757702140 758640870 760616379 762099062 766512630 774785610 783794745 788378340 791583130 795174705 797545530 800648820 800787585 803903490 822028635 836450190 841853615 845129310 854076535 867369555 882919645 905718372 919815156 929742732 949899756 957054636 960945102 964684188 994081140 998612564 1003740228 1007221293 1010224338 1014155172 1024891842 1036809189 1040843466 1045059660 1059503574 1060232940 1067716780 1072561230 1087385247 1096038180 1098668103 1108782810 1119134770 1124881290 1132147965 1136553210 1143148593 1149768945 1152010210 1156492740 1162178415 1182567510 1187374695 1196318295 1205855235 1208205830 1248265705 1254675285 1267693965 1342961724 1358577558 1363863852 1382412252 1405425060 1419081012 1424849634 1441417653 1449846996 1464890804 1473982380 1497918846 1509530620 1515336507 1517281740 1521232758 1524198124 1533025260 1537337763 1549571220 1567589490 1583166260 1589255361 1590349410 1595091060 1601575170 1607806980 1644057270 1672900380 1678702155 1683707230 1690258620 1704829815 1708153070 1728015315 1734739110 1765839290 1773851265 1812308745 1831113505 1905247655 1921890204 2014442586 2020448676 2037866337 2049783684 2073618378 2081686932 2119007148 2137274451 2145122460 2174770494 2188819399 2197336206 2217565620 2238269540 2246878269 2249762580 2264295930 2273106420 2286297186 2295591077 2299537890 2304020420 2324356830 2365135020 2374749390 2392636590 2402362755 2411710470 2416411660 2496531410 2509350570 2525560845 2535387930 2562229605 2602108665 2648758935 2717155116 2849699268 2882835306 2995837692 3021663879 3030673014 3042465516 3074675526 3110427567 3135178980 3178510722 3180698820 3203150340 3245490833 3262155741 3288114540 3296004309 3357404310 3367414460 3396443895 3409659630 3416306140 3429445779 3456030630 3469478220 3531678580 3547702530 3562124085 3624617490 3662227010 3744797115 3803081895 3810495310 4028885172 4075732674 4147236756 4274548902 4349540988 4377638798 4394672412 4493756538 4528591860 4546009521 4572594372 4591182154 4599075780 4612013289 4648713660 4749498780 4767766083 4785273180 4804725510 4823420940 4953643903 4993062820 5018701140 5036106465 5051121690 5070775860 5124459210 5184045945 5204217330 5297517870 5436926235 5493340515 5715742965 5765670612 6043327758 6061346028 6149351052 6220855134 6357021444 6490981666 6524311482 6566458197 6592008618 6714808620 6740634807 6792887790 6819319260 6858891558 6886773231 6912061260 7095405060 7124248170 7207088265 7239941089 7249234980 7324454020 7489594230 7576682535 7606163790 7620990620 7686688815 7946276805 8151465348 8549097804 8755277596 8987513076 9092019042 9182364308 9224026578 9535532166 9609451020 9736472499 9888012927 9907287806 10072212930 10102243380 10189331685 10248918420 10288337337 10368091890 10408434660 10595035740 10686372255 10873852470 10944096995 10986681030 11234391345 11431485930 11477955385 12086655516 12441710268 12981963332 13048622964 13132916394 13184017236 13481269614 13585775580 13717783116 13773546462 14248496340 14414176530 14479882178 14860931709 14979188460 15108319395 15153365070 15212327580 15373377630 15552137835 15892553610 16227454165 16310778705 16480021545 17147228895 18184038084 18448053156 19071064332 19472944998 19699374591 19776025854 19814575612 20144425860 20378663370 20576674674 20660319693 20736183780 21372744510 21719823267 21747704940 21888193990 21973362060 22468782690 22730047605 22862971860 22955910770 23060066445 23838830415 24768219515 26265832788 26962539228 27547092924 28828353060 28959764356 29209417497 29721863418 30216638790 30306730140 30746755260 31104275670 31785107220 32454908330 32621557410 32832290985 32960043090 33703174035 34294457790 34433866155 36199705445 38945889996 39398749182 39552051708 40757326740 41153349348 41320639386 42745489020 43439646534 43776387980 44582795127 44937565380 45460095210 45911821540 46120132890 47677660830 48682362495 49440064635 49536439030 51441686685 58418834994 59098123773 59443726836 60433277580 61980959079 62208551340 64909816660 65159469801 65243114820 65664581970 65920086180 67406348070 68588915580 68867732310 72399410890 74304658545 78797498364 82641278772 86879293068 87628252491 89165590254 90920190420 92240265780 94119234157 95355321660 97364724990 98496872955 98880129270 99072878060 102883373370 103301598465 108599116335 116837669988 118196247546 123961918158 130318939602 131329163940 133748385381 134812696140 137735464620 144798821780 146047087485 148609317090 175256504982 178331180508 188238468314 194729449980 195478409403 196993745910 197760258540 205766746740 206603196930 217198232670 222913975635 236392495092 247923836316 260637879204 267496770762 282357702471 292094174970 295490618865 297218634180 309904795395 325797349005 350513009964 376476936628 390956818806 393987491820 413206393860 434396465340 438141262455 445827951270 470596170785 534993541524 564715404942 584188349940 590981237730 619809590790 651594698010 668741926905 781913637612 847073107413 876282524910 891655902540 941192341570 977392047015 1129430809884 1181962475460 1239619181580 1303189396020 1337483853810 1411788512355 1694146214826 1752565049820 1882384683140 1954784094030 2541219322239 2674967707620 2823577024710 3388292429652 3909568188060 4235365537065 5082438644478 5647154049420 8470731074130 10164877288956 12706096611195 16941462148260 25412193222390 50824386444780
- Sum of all divisors σ(n): 195347177625600
- Sum of proper divisors (its aliquot sum) s(n): 144522791180820
- 50824386444780 is an abundant number, because the sum of its proper divisors (144522791180820) is greater than itself. Its abundance is 93698404736040
Bases of 50824386444780
- Binary: 10111000111001011110010111111111111101111011002
- Hexadecimal: 0x2E39797FFDEC
- Base-36: I0KEFFXF0
Squares and roots of 50824386444780
- 50824386444780 squared (508243864447802) is 2583118257488337007989248400
- 50824386444780 cubed (508243864447803) is 131285400551153969157793178944940303352000
-
The
square root of 50824386444780 is 7129122.4175756725 -
The
cube root of 50824386444780 is 37041.6833478671
Scales and comparisons
How big is 50824386444780?- 50,824,386,444,780 seconds is equal to 1,616,058 years, 14 weeks, 3 days, 11 hours, 33 minutes.
-
To count from 1 to 50,824,386,444,780 would take you about four million, forty thousand, one hundred forty-five 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 50824386444780 cubic inches would be around 3086.8 feet tall.
Recreational maths with 50824386444780
- 50824386444780 backwards is 08744468342805
- The number of decimal digits it has is: 14
- The sum of 50824386444780'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 50824386444780 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 50824386444780 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/50824386444780/
Chicago style:
Numbermatics. 2024. "Number 50824386444780 - Facts about the integer". https://numbermatics.com/n/50824386444780/
The information we have on file for 50824386444780 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 50824386444780, math, Factors of 50824386444780, curriculum, school, college, exams, university, Prime factorization of 50824386444780, STEM, science, technology, engineering, physics, economics, calculator, fifty trillion, eight hundred twenty-four billion, three hundred eighty-six million, four hundred forty-four thousand, seven hundred eighty.