48250980802080
48,250,980,802,080 is an even composite number composed of eight prime numbers multiplied together.
48250980802080 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48250980802080:
25 × 33 × 5 × 72 × 31 × 61 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 61 × 149 × 809)See below for interesting mathematical facts about the number 48250980802080 from the Numbermatics database.
Names of 48250980802080
- Cardinal: 48250980802080 can be written as Forty-eight trillion, two hundred fifty billion, nine hundred eighty million, eight hundred two thousand and eighty.
Scientific notation
- Scientific notation: 4.825098080208 × 1013
Factors of 48250980802080
Divisors of 48250980802080
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 61 62 63 70 72 80 84 90 93 96 98 105 108 112 120 122 124 126 135 140 144 147 149 155 160 168 180 183 186 189 196 210 216 217 224 240 244 245 248 252 270 279 280 288 294 298 305 310 315 336 360 366 372 378 392 420 427 432 434 441 447 465 480 488 490 496 504 540 549 558 560 588 596 610 620 630 651 672 720 732 735 744 745 756 784 809 837 840 854 864 868 882 894 915 930 945 976 980 992 1008 1043 1080 1085 1098 1116 1120 1176 1192 1220 1240 1260 1281 1302 1323 1341 1395 1440 1464 1470 1488 1490 1512 1519 1568 1618 1647 1674 1680 1708 1736 1764 1788 1830 1860 1890 1891 1952 1953 1960 2016 2086 2135 2160 2170 2196 2205 2232 2235 2352 2384 2427 2440 2480 2520 2562 2604 2646 2682 2745 2790 2928 2940 2976 2980 2989 3024 3038 3129 3236 3255 3294 3348 3360 3416 3472 3528 3576 3660 3720 3780 3782 3843 3906 3920 4023 4045 4172 4185 4270 4320 4340 4392 4410 4464 4470 4557 4619 4704 4768 4854 4880 4960 5040 5124 5208 5215 5292 5364 5490 5580 5663 5673 5856 5859 5880 5960 5978 6048 6076 6258 6405 6472 6510 6588 6615 6696 6705 6832 6944 7056 7152 7281 7301 7320 7440 7560 7564 7595 7686 7812 7840 8046 8090 8235 8344 8370 8540 8680 8784 8820 8928 8940 8967 9089 9114 9238 9387 9455 9708 9760 9765 10080 10248 10416 10430 10584 10728 10980 11160 11326 11346 11529 11718 11760 11920 11956 12135 12152 12516 12810 12944 13020 13176 13230 13237 13392 13410 13664 13671 13857 14112 14304 14562 14602 14640 14880 14945 15120 15128 15190 15372 15624 15645 16092 16180 16470 16688 16740 16989 17019 17080 17360 17568 17640 17880 17934 18178 18228 18476 18774 18910 19215 19416 19530 20115 20496 20832 20860 21168 21456 21843 21903 21960 22320 22652 22692 22785 23058 23095 23436 23520 23840 23912 24270 24304 25032 25079 25620 25888 26040 26352 26460 26474 26784 26820 26901 27267 27342 27714 28161 28315 28365 29124 29204 29280 29295 29890 30240 30256 30380 30744 31248 31290 32184 32333 32360 32940 33376 33480 33978 34038 34160 34720 35280 35760 35868 36356 36405 36456 36505 36952 37548 37820 38430 38832 39060 39641 39711 40230 40992 41013 41571 41720 42336 42912 43686 43806 43920 44640 44835 45304 45384 45445 45570 46116 46190 46872 46935 47824 48540 48608 49349 50064 50158 50967 51057 51240 52080 52704 52920 52948 53640 53802 54534 54684 55428 56322 56630 56730 57645 58248 58408 58590 59780 60512 60760 61488 62496 62580 63623 64368 64666 64720 65709 65880 66185 66960 67956 68076 68320 68355 69285 70560 71520 71736 72712 72810 72912 73010 73904 75096 75237 75640 76860 77664 78120 79282 79422 80460 80703 81801 82026 83142 83440 84945 85095 87372 87612 87840 89670 90608 90768 90890 91140 92232 92380 92659 93744 93870 95648 96999 97080 98698 100128 100316 101934 102114 102480 104160 105840 105896 107280 107604 109068 109215 109368 109515 110856 112644 113260 113460 115290 116496 116816 117180 118923 119133 119560 120541 121520 122976 124713 125160 125395 127246 128736 129332 129440 131418 131760 132370 133920 134505 135912 136152 136335 136710 138570 140805 143472 145424 145620 145824 146020 147808 148047 150192 150474 151280 152901 153720 156240 158564 158844 160920 161406 161665 163602 164052 166284 166880 169890 170190 174744 175224 175553 179340 181216 181536 181780 182280 184464 184760 185318 187488 187740 190869 193998 194160 197127 197396 198205 198555 200632 203868 204228 204960 205065 207855 211680 211792 214560 215208 218136 218430 218736 219030 221712 225288 225711 226331 226520 226920 230580 232992 233632 234360 237846 238266 239120 241082 243040 245403 246745 249426 250320 250790 254492 254835 255285 258664 262836 263520 264740 269010 271824 272304 272670 273420 277140 277977 281610 281759 286944 290848 290997 291240 292040 296094 300384 300948 302560 305802 307440 312480 317128 317688 318115 321840 322812 323330 327204 328104 328545 332568 339780 340380 345443 349488 350448 351106 356769 357399 358680 361623 363560 364560 368928 369520 370636 375480 376185 381738 387996 388320 394254 394792 396410 397110 401264 403515 407736 408456 409005 410130 415710 423584 430416 436272 436860 437472 438060 443424 444141 445361 450576 451422 452662 453040 453840 461160 463295 468720 475692 476532 478240 482164 484995 490806 493490 498852 500640 501580 508984 509670 510570 517328 525672 526659 529480 538020 543648 544608 545340 546840 554280 555954 563220 563518 572607 581994 582480 584080 592188 594615 595665 601896 602705 611604 614880 623565 634256 635376 636230 643680 645624 646660 654408 656208 657090 665136 677133 678993 679560 680760 690886 698976 700896 702212 713538 714798 717360 723246 727120 729120 739040 740235 741272 750960 752370 763476 764505 775992 788508 789584 792820 794220 802528 807030 815472 816912 818010 820260 831420 833931 843787 845277 860832 872544 872991 873720 876120 877765 888282 890722 901152 902844 905324 906080 907680 922320 926590 937440 951384 953064 954345 964328 969990 981612 985635 986980 997704 1003160 1017968 1019340 1021140 1034656 1036329 1051344 1053318 1058960 1070307 1076040 1084869 1090680 1093680 1108560 1111908 1126440 1127036 1128555 1131655 1145214 1163988 1164960 1168160 1184376 1189230 1191330 1203792 1205410 1223208 1227015 1228871 1247130 1268512 1270752 1272460 1291248 1293320 1308816 1312416 1314180 1330272 1332423 1336083 1354266 1357986 1359120 1361520 1381772 1389885 1404424 1408795 1427076 1429596 1434720 1446492 1454240 1454985 1480470 1482544 1501920 1504740 1526952 1529010 1529819 1551984 1577016 1579168 1579977 1585640 1588440 1614060 1630944 1633824 1636020 1640520 1662840 1667862 1687574 1690554 1717821 1727215 1745982 1747440 1752240 1755530 1776564 1781444 1783845 1786995 1805688 1808115 1810648 1844640 1853180 1902768 1906128 1908690 1928656 1939980 1963224 1971270 1972313 1973960 1995408 2006320 2035936 2036979 2038680 2042280 2072658 2102688 2106636 2117920 2140614 2152080 2169738 2181360 2187360 2217120 2220705 2223816 2226805 2252880 2254072 2257110 2263310 2290428 2327976 2368752 2378460 2382660 2407584 2410820 2418101 2446416 2454030 2457742 2494260 2501793 2531361 2535831 2544920 2582496 2586640 2617632 2628360 2633295 2664846 2672166 2708532 2715972 2718240 2723040 2763544 2779770 2808848 2817590 2854152 2859192 2863035 2892984 2909970 2960940 2965088 3009480 3053904 3058020 3059638 3103968 3108987 3154032 3159954 3171280 3176880 3228120 3254607 3272040 3281040 3325680 3335724 3375148 3381108 3385665 3394965 3435642 3454430 3491964 3494880 3504480 3511060 3553128 3562888 3567690 3573990 3611376 3616230 3621296 3686613 3706360 3736771 3805536 3812256 3817380 3857312 3879960 3926448 3942540 3944626 3947920 3990816 4008249 4012640 4073958 4077360 4084560 4145316 4169655 4213272 4218935 4226385 4281228 4304160 4339476 4362720 4364955 4441410 4447632 4453610 4505760 4508144 4514220 4526620 4580856 4589457 4655952 4737504 4739931 4756920 4765320 4821640 4836202 4892832 4908060 4915484 4988520 5003586 5062722 5071662 5089840 5173280 5181645 5256720 5266590 5329692 5344332 5351535 5417064 5424345 5431944 5527088 5559540 5617696 5635180 5708304 5718384 5726070 5785968 5819940 5906509 5916939 5921880 6018960 6107808 6110937 6116040 6119276 6144355 6217974 6308064 6319908 6342560 6353760 6456240 6509214 6544080 6562080 6651360 6662115 6671448 6680415 6750296 6762216 6771330 6789930 6871284 6908860 6983928 7022120 7106256 7125776 7135380 7147980 7222752 7232460 7242592 7254303 7353001 7373226 7412720 7473542 7594083 7607493 7634760 7649095 7759920 7852896 7885080 7889252 7895840 7899885 8016498 8147916 8154720 8169120 8290632 8339310 8426544 8437870 8452770 8562456 8589105 8678952 8729910 8882820 8895264 8907220 9016288 9028440 9053240 9161712 9178914 9311904 9326961 9479862 9513840 9530640 9643280 9672404 9816120 9830968 9861565 9977040 10007172 10125444 10143324 10179680 10184895 10363290 10513440 10533180 10659384 10688664 10703070 10708733 10834128 10848690 10863888 11054176 11059839 11119080 11210313 11270360 11416608 11436768 11452140 11571936 11639880 11813018 11833878 11843760 12024747 12037920 12090505 12221874 12232080 12238552 12288710 12435948 12508965 12639816 12656805 12679155 12912480 13018428 13088160 13324230 13342896 13360830 13500592 13524432 13542660 13579860 13742568 13768371 13806191 13817720 13967856 14044240 14212512 14251552 14270760 14295960 14464920 14508606 14706002 14746452 14825440 14947084 15188166 15214986 15269520 15298190 15519840 15544935 15770160 15778504 15799770 16032996 16273035 16295832 16581264 16678620 16853088 16875740 16905540 17124912 17178210 17357904 17459820 17719527 17750817 17765640 17814440 18056880 18106480 18323424 18357828 18433065 18653922 18683855 18959724 19027680 19061280 19286560 19344808 19632240 19661936 19723130 19954080 20014344 20041245 20250888 20286648 20369790 20726580 21066360 21318768 21377328 21406140 21417466 21668256 21697380 21727776 21762909 22059003 22119678 22238160 22420626 22540720 22782249 22904280 22947285 23279760 23626036 23667756 23687520 23699655 24049494 24181010 24443748 24464160 24477104 24577420 24871896 25017930 25279632 25313610 25358310 26036856 26157397 26648460 26685792 26721660 27001184 27048864 27085320 27159720 27485136 27536742 27612382 27635440 27935712 28088480 28541520 28591920 28929840 29017212 29412004 29492904 29532545 29584695 29894168 30376332 30429972 30539040 30554685 30596380 31089870 31540320 31557008 31599540 32065992 32126199 32546070 32591664 33162528 33179517 33357240 33630939 33751480 33811080 34249824 34356420 34715808 34919640 35439054 35501634 35531280 35628880 36113760 36212960 36271515 36715656 36765005 36866130 37307844 37367710 37919448 37970415 38037465 38689616 39264480 39323872 39446260 40028688 40082490 40501776 40573296 40739580 41305113 41418573 41453160 42132720 42637536 42754656 42812280 42834932 43394760 43525818 44118006 44239356 44476320 44841252 45081440 45564498 45808560 45894570 46559520 46634805 47252072 47335512 47399310 48098988 48362020 48887496 48954208 49154840 49743792 50035860 50559264 50627220 50716620 51471007 52073712 52314794 53158581 53252451 53296920 53443320 53543665 54170640 54319440 54970272 55073484 55224764 55270880 55299195 56051565 57083040 57183840 57859680 58034424 58824008 58985808 59065090 59169390 59788336 60123735 60752664 60859944 61109370 61192760 62179740 63114016 63199080 64131984 64252398 65092140 65183328 65288727 66177009 66359034 66714480 67261878 67502960 67622160 68712840 68841855 69030955 69839280 70878108 71003268 71062560 71257760 72543030 73431312 73530010 73732260 74615688 74735420 74961131 75838896 75940830 76074930 77379232 78472191 78892520 80057376 80164980 81003552 81146592 81479160 82610226 82837146 82906320 84265440 85624560 85669864 86789520 87051636 88236012 88478712 88597635 88754085 89682504 91128996 91617120 91789140 93269610 94504144 94671024 94798620 96197976 96378597 96724040 97774992 98309680 99487584 100071720 100892817 101254440 101433240 102942014 104147424 104629588 106317162 106504902 106593840 106886640 107087330 108341280 108638880 108814545 110146968 110295015 110449528 110598390 112103130 113911245 116068848 117648016 117971616 118130180 118338780 119576672 120247470 121505328 121719888 122218740 122385520 124255719 124359480 126398160 128263968 128504796 130184280 130577454 130786985 132354018 132718068 133428960 134523756 135005920 135244320 137425680 137683710 138061910 139678560 141756216 142006536 145086060 146862624 147060020 147464520 149231376 149470840 149922262 151677792 151881660 152149860 154413021 156944382 157785040 159475743 160329960 160630995 162958320 165220452 165674292 165812640 165897585 168154695 171249120 171339728 173579040 174103272 176472024 176957424 177195270 177508170 179365008 182257992 183101779 183578280 186539220 189008288 189342048 189597240 192395952 192757194 193448080 195549984 196619360 198531027 200143440 201785634 202508880 202866480 205884028 206525565 207092865 209259176 212634324 213009804 213187680 213773280 214174660 217629090 220293936 220590030 220899056 221196780 224206260 224883393 227822490 227943031 232137696 235296032 235416573 236260360 236677560 240494940 243010656 243439776 244437480 244771040 248511438 248718960 252796320 257009592 257355035 260368560 261154908 261573970 264708036 265436136 265792905 266262255 269047512 274851360 275367420 276123820 283512432 284013072 289135791 290172120 294120040 294929040 298462752 298941680 299844524 303763320 304299720 308826042 313888764 315570080 318951486 320659920 321261990 325916640 326443635 330440904 330885045 331348584 331795170 336309390 342679456 348206544 352944048 353914848 354390540 355016340 358730016 360297049 364515984 366203558 367156560 372767157 373078440 374805655 379194480 384791904 385514388 386896160 392360955 397062054 400286880 403571268 405017760 405732960 411768056 413051130 414185730 418518352 425268648 426019608 428349320 435258180 440587872 441180060 441798112 442393560 448412520 449766786 455644980 455886062 463239063 470833146 472520720 473355120 480989880 481892985 488874960 497022876 497437920 504464085 514019184 514710070 520737120 522309816 523147940 529416072 530872272 531585810 532524510 538095024 549305337 550734840 552247640 567024864 568026144 578271582 580344240 588240080 589858080 597883360 599689048 607526640 608599440 617652084 621278595 627777528 637902972 641319840 642523980 652887270 660881808 661770090 662697168 663590340 672618780 674650179 683829093 696413088 705888096 706249719 708781080 710032680 720594098 729031968 732407116 734313120 745534314 746156880 749611310 758388960 771028776 772065105 784721910 794124108 797378715 807142536 823536112 826102260 828371460 837036704 850537296 852039216 856698640 870516360 882360120 884787120 896825040 899533572 911289960 911772124 915508895 926478126 941666292 945041440 946710240 961979760 963785970 977749920 992655135 994045752 1008928170 1028038368 1029420140 1044619632 1046295880 1058832144 1061744544 1063171620 1065049020 1076190048 1080891147 1098610674 1101469680 1104495280 1124416965 1139715155 1156543164 1160688480 1176480160 1177082865 1199378096 1215053280 1217198880 1235304168 1242557190 1255555056 1275805944 1285047960 1305774540 1321763616 1323540180 1325394336 1327180680 1345237560 1349300358 1367658186 1389717189 1412499438 1417562160 1420065360 1441188196 1445678955 1464814232 1491068628 1492313760 1499222620 1542057552 1544130210 1569443820 1588248216 1594757430 1595601217 1614285072 1647072224 1647916011 1652204520 1656742920 1701074592 1704078432 1713397280 1741032720 1764720240 1769574240 1793650080 1799067144 1801485245 1822579920 1823544248 1831017790 1852956252 1863835785 1883332584 1923959520 1927571940 1985310270 1988091504 2017856340 2023950537 2051487279 2058840280 2089239264 2092591760 2117664288 2126343240 2130098040 2161782294 2197221348 2202939360 2208990560 2248833930 2279430310 2313086328 2316195315 2354165730 2398756192 2470608336 2485114380 2511110112 2551611888 2570095920 2611549080 2647080360 2654361360 2690475120 2698600716 2735316372 2746526685 2779434378 2824998876 2835124320 2840130720 2882376392 2891357910 2929628464 2982137256 2998445240 3084115104 3088260420 3138887640 3176496432 3189514860 3191202434 3228570144 3242673441 3295832022 3304409040 3313485840 3373250895 3419145465 3482065440 3529440480 3531248595 3598134288 3602970490 3645159840 3647088496 3662035580 3705912504 3727671570 3766665168 3855143880 3970620540 3976183008 4035712680 4047901074 4102974558 4117680560 4185183520 4252686480 4260196080 4323564588 4394442696 4497667860 4558860620 4626172656 4632390630 4708331460 4786803651 4941216672 4943748033 4970228760 5103223776 5140191840 5223098160 5294160720 5308722720 5380950240 5397201432 5404455735 5470632744 5493053370 5558868756 5649997752 5764752784 5782715820 5859256928 5964274512 5996890480 6154461837 6176520840 6277775280 6352992864 6379029720 6382404868 6485346882 6591664044 6608818080 6626971680 6746501790 6838290930 6948585945 7062497190 7196268576 7205940980 7294176992 7324071160 7411825008 7455343140 7533330336 7710287760 7941241080 7978006085 8071425360 8095802148 8205949116 8235361120 8239580055 8505372960 8520392160 8647129176 8788885392 8995335720 9117721240 9252345312 9264781260 9416662920 9573607302 9728020323 9887496066 9940457520 10119752685 10257436395 10446196320 10588321440 10794402864 10808911470 10941265488 10986106740 11117737512 11169208519 11299995504 11529505568 11565431640 11928549024 11993780960 12308923674 12353041680 12555550560 12758059440 12764809736 12970693764 13183328088 13493003580 13676581860 13897171890 14124994380 14360410953 14411881960 14648142320 14823650016 14910686280 15420575520 15882482160 15956012170 16142850720 16191604296 16213367205 16411898232 16479160110 17294258352 17577770784 17990671440 18235442480 18529562520 18833325840 19147214604 19456040646 19774992132 19880915040 20239505370 20514872790 21588805728 21617822940 21882530976 21972213480 22235475024 22338417038 22599991008 23130863280 23934018255 24617847348 24706083360 24718740165 25516118880 25529619472 25941387528 26366656176 26986007160 27353163720 27794343780 28249988760 28720821906 28823763920 29296284640 29821372560 30772309185 31764964320 31912024340 32383208592 32426734410 32823796464 32958320220 33507625557 34588516704 35981342880 36470884960 37059125040 37666651680 38294429208 38912081292 39549984264 40479010740 41029745580 43081232859 43235645880 43944426960 44470950048 44676834076 46261726560 47868036510 48640101615 49235694696 49437480330 51059238944 51882775056 52733312352 53972014320 54706327440 55588687560 55846042595 56499977520 57441643812 57647527840 59642745120 61544618370 63824048680 64766417184 64853468820 65647592928 65916640440 67015251114 71802054765 74118250080 76588858416 77824162584 79099968528 80958021480 82059491160 86162465718 86471291760 87888853920 89353668152 95736073020 97280203230 98471389392 98874960660 100522876671 103765550112 107944028640 109412654880 111177375120 111692085190 112999955040 114883287624 123089236740 127648097360 129706937640 131833280880 134030502228 143604109530 153177716832 155648325168 158199937056 161916042960 164118982320 167538127785 172324931436 172942583520 178707336304 191472146040 194560406460 196942778784 197749921320 201045753342 215406164295 222354750240 223384170380 229766575248 246178473480 255296194720 259413875280 263666561760 268061004456 287208219060 301568630013 311296650336 323832085920 328237964640 335076255570 344649862872 357414672608 382944292080 389120812920 395499842640 402091506684 430812328590 446768340760 459533150496 492356946960 502614383355 518827750560 536122008912 574416438120 603137260026 670152511140 689299725744 765888584160 778241625840 790999685280 804183013368 861624657180 893536681520 984713893920 1005228766710 1072244017824 1148832876240 1206274520052 1340305022280 1378599451488 1507843150065 1556483251680 1608366026736 1723249314360 1787073363040 2010457533420 2297665752480 2412549040104 2680610044560 3015686300130 3216732053472 3446498628720 4020915066840 4825098080208 5361220089120 6031372600260 6892997257440 8041830133680 9650196160416 12062745200520 16083660267360 24125490401040 48250980802080
- Sum of all divisors σ(n): 207751703040000
- Sum of proper divisors (its aliquot sum) s(n): 159500722237920
- 48250980802080 is an abundant number, because the sum of its proper divisors (159500722237920) is greater than itself. Its abundance is 111249741435840
Bases of 48250980802080
- Binary: 10101111100010010011101001001000011110001000002
- Hexadecimal: 0x2BE24E921E20
- Base-36: H3Q705ZC0
Squares and roots of 48250980802080
- 48250980802080 squared (482509808020802) is 2328157148362692720132326400
- 48250980802080 cubed (482509808020803) is 112335865869873604743999055443608358912000
-
The
square root of 48250980802080 is 6946292.5940446821 -
The
cube root of 48250980802080 is 36405.6437738099
Scales and comparisons
How big is 48250980802080?- 48,250,980,802,080 seconds is equal to 1,534,231 years, 48 weeks, 5 days, 22 hours, 48 minutes.
-
To count from 1 to 48,250,980,802,080 would take you about three million, eight hundred thirty-five thousand, five hundred seventy-nine 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 48250980802080 cubic inches would be around 3033.8 feet tall.
Recreational maths with 48250980802080
- 48250980802080 backwards is 08020808905284
- 48250980802080 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48250980802080's digits is 54
- 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 48250980802080 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 48250980802080 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/48250980802080/
Chicago style:
Numbermatics. 2024. "Number 48250980802080 - Facts about the integer". https://numbermatics.com/n/48250980802080/
The information we have on file for 48250980802080 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 48250980802080, math, Factors of 48250980802080, curriculum, school, college, exams, university, Prime factorization of 48250980802080, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, two hundred fifty billion, nine hundred eighty million, eight hundred two thousand and eighty.