338236145280
338,236,145,280 is an even composite number composed of eight prime numbers multiplied together.
338236145280 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 338236145280:
27 × 34 × 5 × 11 × 17 × 23 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 17 × 23 × 37 × 41)See below for interesting mathematical facts about the number 338236145280 from the Numbermatics database.
Names of 338236145280
- Cardinal: 338236145280 can be written as Three hundred thirty-eight billion, two hundred thirty-six million, one hundred forty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 3.3823614528 × 1011
Factors of 338236145280
Divisors of 338236145280
- Number of divisors d(n): 2560
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 23 24 27 30 32 33 34 36 37 40 41 44 45 46 48 51 54 55 60 64 66 68 69 72 74 80 81 82 85 88 90 92 96 99 102 108 110 111 115 120 123 128 132 135 136 138 144 148 153 160 162 164 165 170 176 180 184 185 187 192 198 204 205 207 216 220 222 230 240 246 253 255 264 270 272 276 288 296 297 306 320 324 328 330 333 340 345 352 360 368 369 370 374 384 391 396 405 407 408 410 414 432 440 444 451 459 460 480 492 495 506 510 528 540 544 552 555 561 576 592 594 612 615 621 629 640 648 656 660 666 680 690 697 704 720 736 738 740 748 759 765 782 792 810 814 816 820 828 851 864 880 888 891 902 918 920 935 943 960 984 990 999 1012 1020 1035 1056 1080 1088 1104 1107 1110 1122 1152 1173 1184 1188 1221 1224 1230 1242 1258 1265 1296 1312 1320 1332 1353 1360 1377 1380 1394 1408 1440 1472 1476 1480 1485 1496 1517 1518 1530 1564 1584 1620 1628 1632 1640 1656 1665 1683 1702 1728 1760 1776 1782 1804 1836 1840 1845 1863 1870 1886 1887 1920 1955 1968 1980 1998 2024 2035 2040 2070 2091 2112 2160 2176 2208 2214 2220 2244 2255 2277 2295 2346 2368 2376 2442 2448 2460 2484 2516 2530 2553 2592 2624 2640 2664 2706 2720 2754 2760 2788 2805 2829 2880 2944 2952 2960 2970 2992 2997 3034 3036 3060 3105 3128 3145 3168 3240 3256 3264 3280 3312 3321 3330 3366 3404 3456 3485 3519 3520 3552 3564 3608 3663 3672 3680 3690 3726 3740 3772 3774 3795 3910 3936 3960 3996 4048 4059 4070 4080 4140 4182 4224 4255 4301 4320 4416 4428 4440 4455 4488 4510 4551 4554 4590 4692 4715 4736 4752 4884 4896 4920 4968 4995 5032 5049 5060 5106 5184 5248 5280 5328 5412 5440 5508 5520 5535 5576 5610 5658 5661 5760 5865 5904 5920 5940 5984 5994 6068 6072 6105 6120 6210 6256 6273 6290 6336 6480 6512 6528 6560 6624 6642 6660 6732 6765 6808 6831 6885 6919 6970 7038 7040 7104 7128 7216 7326 7344 7360 7380 7452 7480 7544 7548 7585 7590 7659 7667 7820 7872 7920 7992 8096 8118 8140 8160 8280 8364 8415 8487 8510 8602 8640 8832 8856 8880 8910 8976 9020 9102 9108 9180 9315 9361 9384 9430 9435 9504 9768 9792 9840 9936 9990 10064 10098 10120 10212 10368 10373 10455 10557 10560 10656 10824 10880 10989 11016 11040 11070 11152 11220 11316 11322 11385 11730 11808 11840 11880 11968 11988 12136 12144 12177 12210 12240 12420 12512 12546 12580 12672 12765 12903 12960 13024 13120 13248 13284 13320 13464 13530 13616 13653 13662 13770 13838 13940 14076 14145 14208 14256 14432 14467 14652 14688 14720 14760 14904 14960 14985 15088 15096 15147 15170 15180 15318 15334 15640 15744 15840 15984 16031 16192 16236 16280 16320 16560 16605 16687 16728 16830 16974 16983 17020 17204 17280 17595 17712 17760 17820 17952 18040 18204 18216 18315 18360 18630 18722 18768 18819 18860 18870 19008 19536 19584 19680 19872 19980 20128 20196 20240 20295 20424 20493 20746 20757 20910 21114 21120 21312 21505 21648 21978 22032 22080 22140 22304 22440 22632 22644 22755 22770 22977 23001 23460 23616 23680 23760 23936 23976 24272 24288 24354 24420 24480 24840 25024 25092 25160 25245 25461 25530 25789 25806 25920 26048 26240 26496 26568 26640 26928 27060 27232 27306 27324 27540 27676 27880 28083 28152 28290 28305 28512 28864 28934 29304 29376 29520 29808 29920 29970 30176 30192 30294 30340 30360 30636 30668 31119 31280 31365 31671 31680 31968 32062 32384 32472 32560 32640 32967 33120 33210 33374 33456 33660 33948 33966 34040 34155 34408 34595 34891 35190 35424 35520 35640 35904 36080 36408 36432 36531 36630 36720 37260 37444 37536 37638 37720 37740 38016 38295 38335 38709 39072 39360 39744 39960 40256 40392 40480 40590 40848 40959 40986 41492 41514 41820 42228 42435 42624 43010 43296 43401 43956 44064 44160 44280 44608 44880 45264 45288 45510 45540 45954 46002 46805 46920 47232 47520 47952 48093 48544 48576 48708 48840 48960 49680 50048 50061 50184 50320 50490 50922 50949 51060 51578 51612 51840 51865 52096 52785 53136 53280 53856 54120 54464 54612 54648 54945 55080 55352 55760 56166 56304 56457 56580 56610 57024 57728 57868 58608 58752 59040 59616 59840 59940 60352 60384 60588 60680 60720 60885 61272 61336 62238 62271 62560 62730 63342 63360 63936 64124 64515 64944 65120 65934 66240 66420 66748 66912 67320 67896 67932 68080 68265 68310 68816 68931 69003 69190 69782 70380 70848 71040 71280 71808 72160 72335 72816 72864 73062 73260 73440 74520 74888 75072 75276 75440 75480 75735 76383 76590 76670 77367 77418 78144 78720 79488 79920 80155 80512 80784 80960 81180 81696 81918 81972 82984 83028 83435 83640 84249 84456 84870 84915 86020 86592 86802 87912 88128 88560 89216 89760 90528 90576 91020 91080 91908 92004 93357 93610 93840 94095 95040 95904 96186 97088 97152 97416 97680 97920 99360 100122 100368 100640 100980 101844 101898 102120 102465 103156 103224 103730 103785 104673 105570 106272 106560 107712 108240 108928 109224 109296 109890 110160 110704 111520 112332 112608 112914 113160 113220 114048 114885 115005 115736 116127 117216 118080 119232 119680 119880 120704 120768 121176 121360 121440 121770 122544 122672 122877 124476 124542 125120 125460 126684 127305 127872 128248 128945 129030 129888 130203 130240 131868 132480 132840 133496 133824 134640 135792 135864 136160 136530 136620 137632 137862 138006 138380 139564 140415 140760 141696 142560 144279 144320 144670 145632 145728 146124 146520 146880 149040 149776 150144 150183 150552 150880 150960 151470 152766 153180 153340 154734 154836 155595 156288 158355 159137 159840 160310 161568 161920 162360 163392 163836 163944 164835 165968 166056 166870 167280 168498 168912 169740 169830 172040 173184 173604 174455 175824 176256 176341 177120 179520 181056 181152 182040 182160 182655 183816 184008 186714 186813 187220 187680 188190 190080 191808 192372 193545 194176 194832 195360 198720 200244 200736 201280 201960 203688 203796 204240 204795 204930 206312 206448 207009 207460 207570 209346 211140 212544 213120 215424 216480 217005 218448 218592 219780 220320 221408 223040 224664 225216 225828 226320 226440 229770 230010 231472 232101 232254 234432 236160 238464 239760 240465 241536 242352 242720 242880 243540 245088 245344 245754 248952 249084 250240 250305 250920 252747 253368 254610 254745 256496 257890 258060 259776 260406 260480 263736 265680 266992 267648 269280 271584 271728 272320 273060 273240 275264 275724 276012 276760 279128 280071 280830 281520 282285 283679 285120 288558 288640 289340 291264 291456 292248 293040 293760 298080 299552 300366 301104 301760 301920 302940 305532 306360 306680 309468 309672 311190 311355 314019 316710 318274 319680 320620 323136 324720 326784 327672 327888 329670 331936 332112 333740 334560 336996 337824 339480 339660 344080 344655 345015 347208 348381 348910 351648 352682 354240 359040 362112 362304 364080 364320 365310 367632 368016 373428 373626 374440 375360 376380 381915 383616 383801 384744 386835 387090 389664 390609 390720 397440 400488 401472 402560 403920 407376 407592 408480 409590 409860 412624 412896 414018 414920 415140 418692 421245 422280 425088 432837 432960 434010 436896 437184 439560 440640 442816 446080 449328 450432 450549 451656 452640 452880 459540 460020 462944 464202 464508 466785 468864 477411 479520 480930 484704 485440 485760 487080 490176 490688 491508 497904 498168 500610 501840 505494 506736 509220 509490 512992 515780 516120 519552 520812 523365 527472 529023 531360 533984 538560 543168 543456 544640 546120 546480 550528 551448 552024 553520 558256 560142 560439 561660 563040 564570 567358 570240 577116 578680 580635 582528 584496 586080 593147 596160 599104 600732 602208 603520 603840 605880 611064 612720 613360 614385 618936 619344 621027 622380 622710 628038 633420 636548 639360 641240 646272 649440 651015 655344 655776 659340 663872 664224 667480 669120 673992 675648 678960 679320 688160 689310 690030 694416 696303 696762 697820 703296 705364 708480 721395 724608 728160 728640 730620 735264 736032 746856 747252 748880 750720 750915 752760 758241 763830 767602 769488 773670 774180 779328 781218 781440 795685 800976 802944 807840 814752 815184 816960 819180 819720 825248 825792 828036 829840 830280 837384 840213 842490 844560 851037 865674 865920 868020 873792 874368 879120 881280 881705 885632 898656 901098 903312 905280 905760 919080 920040 925888 928404 929016 933570 934065 942057 954822 959040 961860 969408 970880 974160 980352 981376 983016 995808 996336 1001220 1003680 1010988 1013472 1018440 1018980 1025984 1031560 1032240 1035045 1041624 1046730 1054944 1058046 1062720 1067968 1077120 1086336 1086912 1092240 1092960 1102896 1104048 1107040 1116512 1120284 1120878 1123320 1126080 1129140 1134716 1151403 1154232 1157360 1160505 1161270 1168992 1171827 1172160 1186294 1192320 1198208 1201464 1204416 1207680 1211760 1222128 1225440 1226720 1228770 1237872 1238688 1242054 1244760 1245420 1256076 1263735 1266840 1273096 1282480 1298511 1298880 1302030 1310688 1311552 1318680 1327744 1328448 1334960 1338240 1347984 1351296 1351647 1357920 1358640 1376320 1378620 1380060 1388832 1392606 1393524 1395640 1400355 1406592 1410728 1418395 1432233 1442790 1456320 1457280 1461240 1470528 1472064 1493712 1494504 1497760 1501830 1505520 1516482 1527660 1535204 1538976 1547340 1548360 1558656 1562436 1570095 1587069 1591370 1601952 1615680 1629504 1630368 1633920 1638360 1639440 1650496 1651584 1656072 1659680 1660560 1674768 1680426 1684980 1689120 1702074 1731348 1736040 1741905 1747584 1758240 1763410 1779441 1797312 1802196 1806624 1810560 1811520 1838160 1840080 1851776 1856808 1858032 1867140 1868130 1884114 1909644 1918080 1919005 1923720 1938816 1948320 1953045 1966032 1991616 1992672 2002440 2007360 2021976 2026944 2036880 2037960 2051968 2063120 2064480 2070090 2083248 2088909 2093460 2109888 2116092 2125440 2135936 2164185 2173824 2184480 2185920 2205792 2208096 2214080 2233024 2240568 2241756 2246640 2252160 2252745 2258280 2269432 2302806 2308464 2314720 2321010 2322540 2337984 2343654 2344320 2372588 2387055 2402928 2408832 2423520 2444256 2450880 2453440 2457540 2475744 2477376 2484108 2489520 2490840 2512152 2527470 2533680 2546192 2553111 2564960 2597022 2597760 2604060 2621376 2623104 2637360 2645115 2656896 2669920 2695968 2703294 2715840 2717280 2752640 2757240 2760120 2777664 2785212 2787048 2791280 2800710 2802195 2821456 2826171 2836790 2864466 2885580 2912640 2922480 2941056 2944128 2965735 2987424 2989008 2995520 3003660 3011040 3032964 3055320 3070408 3077952 3094680 3096720 3105135 3124872 3140190 3174138 3182740 3203904 3231360 3259008 3260736 3276720 3278880 3300992 3312144 3319360 3321120 3349536 3360852 3369960 3378240 3404148 3454209 3462696 3472080 3481515 3483810 3516480 3526820 3558882 3594624 3604392 3613248 3623040 3676320 3680160 3713616 3716064 3734280 3736260 3768228 3791205 3819288 3838010 3847440 3896640 3906090 3932064 3983232 3985344 4004880 4014720 4043952 4053888 4073760 4075920 4126240 4128960 4140180 4166496 4177818 4186920 4201065 4219776 4232184 4255185 4296699 4328370 4368960 4371840 4411584 4416192 4428160 4466048 4481136 4483512 4493280 4505490 4516560 4538864 4605612 4616928 4629440 4642020 4645080 4675968 4687308 4710285 4745176 4761207 4774110 4805856 4847040 4888512 4901760 4906880 4915080 4951488 4954752 4968216 4979040 4981680 5024304 5054940 5067360 5092384 5106222 5129920 5194044 5208120 5242752 5274720 5290230 5338323 5339840 5391936 5406588 5431680 5434560 5514480 5520240 5555328 5570424 5574096 5582560 5601420 5604390 5642912 5652342 5673580 5728932 5757015 5771160 5844960 5859135 5931470 5974848 5978016 5991040 6007320 6022080 6065928 6110640 6140816 6155904 6189360 6193440 6210270 6249744 6280380 6348276 6365480 6407808 6492555 6521472 6524617 6553440 6557760 6624288 6638720 6642240 6699072 6721704 6739920 6756480 6758235 6808296 6908418 6925392 6944160 6963030 6967620 7032960 7053640 7117764 7161165 7208784 7226496 7352640 7360320 7427232 7432128 7468560 7472520 7536456 7582410 7638576 7659333 7676020 7694880 7793280 7812180 7864128 7935345 7970688 8009760 8087904 8147520 8151840 8252480 8257920 8280360 8332992 8355636 8373840 8402130 8464368 8510370 8593398 8656740 8737920 8823168 8832384 8897205 8962272 8967024 8986560 9010980 9033120 9077728 9211224 9233856 9258880 9284040 9290160 9374616 9420570 9490352 9522414 9548220 9611712 9694080 9777024 9830160 9902976 9936432 9958080 9963360 10048608 10109880 10134720 10184768 10212444 10259840 10362627 10388088 10416240 10444545 10549440 10580460 10676646 10679680 10783872 10813176 10869120 11028960 11040480 11140848 11148192 11165120 11202840 11208780 11285824 11304684 11347160 11457864 11514030 11542320 11689920 11718270 11862940 11949696 11956032 12014640 12044160 12131856 12221280 12281632 12378720 12386880 12420540 12499488 12560760 12696552 12730960 12765555 12890097 12985110 13049234 13106880 13115520 13248576 13284480 13398144 13443408 13479840 13516470 13616592 13816836 13850784 13888320 13926060 13935240 14107280 14130855 14235528 14283621 14322330 14417568 14705280 14720640 14854464 14864256 14937120 14945040 15072912 15164820 15277152 15318666 15352040 15389760 15624360 15728256 15870690 16014969 16019520 16175808 16295040 16303680 16504960 16560720 16665984 16711272 16747680 16804260 16928736 17020740 17186796 17271045 17313480 17794410 17924544 17934048 17973120 18021960 18066240 18155456 18422448 18467712 18568080 18580320 18749232 18841140 18980704 19044828 19096440 19223424 19573851 19660320 19872864 19916160 19926720 20097216 20219760 20269440 20369536 20424888 20725254 20776176 20832480 20889090 21098880 21160920 21353292 21483495 21626352 22057920 22080960 22281696 22296384 22330240 22405680 22417560 22571648 22609368 22694320 22915728 22977999 23028060 23084640 23379840 23436540 23725880 23806035 23912064 24029280 24263712 24442560 24563264 24757440 24773760 24841080 24998976 25121520 25393104 25461920 25531110 25780194 25970220 26098468 26213760 26497152 26691615 26886816 26959680 27032940 27233184 27633672 27701568 27776640 27852120 27870480 28214560 28261710 28471056 28567242 28644660 28835136 29708928 29874240 29890080 30145824 30329640 30554304 30637332 30704080 30779520 31087881 31248720 31741380 32029938 32039040 32351616 32607360 32623085 33121440 33422544 33495360 33608520 33857472 34041480 34373592 34542090 34626960 35588820 35849088 35868096 36043920 36132480 36310912 36844896 37136160 37160640 37498464 37682280 37961408 38089656 38192880 38296665 39147702 39320640 39745728 39853440 40194432 40439520 40849776 41450508 41552352 41664960 41778180 42321840 42706584 42966990 43252704 44115840 44161920 44563392 44592768 44811360 44835120 45218736 45388640 45831456 45955998 46056120 46169280 46873080 47451760 47612070 48044907 48058560 48527424 48885120 49126528 49514880 49682160 49997952 50243040 50786208 50923840 51062220 51560388 51813135 51940440 52196936 53383230 53773632 53919360 54065880 54466368 55267344 55403136 55704240 55740960 56429120 56523420 56942112 57134484 57289320 57670272 58721553 59748480 59780160 60291648 60659280 61108608 61274664 61408160 62175762 62497440 63482760 64059876 64450485 65246170 66242880 66845088 66990720 67217040 67714944 68082960 68747184 69084180 69253920 71177640 71418105 71736192 72087840 73689792 74272320 74321280 74996928 75364560 75922816 76179312 76385760 76593330 78295404 78641280 79491456 80074845 80879040 81699552 82901016 83104704 83329920 83556360 84643680 85413168 85933980 86505408 89126784 89622720 89670240 90437472 90777280 91662912 91911996 92112240 92338560 93746160 94903520 95224140 96089814 96117120 97054848 97869255 99364320 100486080 101572416 101847680 102124440 103120776 103626270 103880880 104393872 106766460 107547264 108131760 108932736 110534688 111408480 111481920 112858240 113046840 113884224 114268968 114578640 114889995 117443106 119560320 120583296 121318560 122549328 122816320 124351524 124994880 126965520 128119752 128900970 130492340 132485760 133690176 134434080 136165920 137494368 138168360 138507840 142355280 142836210 144175680 147379584 148544640 149993856 150729120 152358624 152771520 153186660 155439405 156590808 160149690 161758080 163399104 165802032 166209408 167112720 169287360 170826336 171867960 173010816 176164659 179245440 179340480 180874944 181554560 183325824 183823992 184224480 187492320 189807040 190448280 192179628 195738510 198728640 200972160 203144832 204248880 206241552 207252540 207761760 208787744 213532920 216263520 221069376 222816960 222963840 226093680 227768448 228537936 229157280 229779990 234886212 240224535 242637120 245098656 245632640 248703048 249989760 253931040 256239504 257801940 260984680 267380352 268868160 272331840 274988736 276336720 277015680 284710560 285672420 288351360 293607765 301458240 304717248 305543040 306373320 310878810 313181616 320299380 326798208 331604064 334225440 338574720 341652672 343735920 352329318 358680960 361749888 367647984 368448960 374984640 379614080 380896560 384359256 391477020 397457280 408497760 412483104 414505080 415523520 417575488 427065840 432527040 442138752 445633920 452187360 457075872 458314560 459559980 469772424 480449070 485274240 490197312 497406096 507862080 512479008 515603880 521969360 528493977 537736320 544663680 549977472 552673440 569421120 571344840 587215530 602916480 609434496 612746640 621757620 626363232 640598760 663208128 668450880 683305344 687471840 704658636 735295968 736897920 749969280 761793120 768718512 782954040 816995520 824966208 829010160 831047040 835150976 854131680 865054080 880823295 904374720 914151744 916629120 919119960 939544848 960898140 980394624 994812192 1015724160 1024958016 1031207760 1043938720 1056987954 1105346880 1138842240 1142689680 1174431060 1225493280 1243515240 1252726464 1281197520 1326416256 1336901760 1374943680 1409317272 1470591936 1523586240 1537437024 1565908080 1633991040 1649932416 1658020320 1708263360 1761646590 1808749440 1828303488 1838239920 1879089696 1921796280 1989624384 2049916032 2062415520 2087877440 2113975908 2210693760 2285379360 2348862120 2450986560 2487030480 2505452928 2562395040 2642469885 2749887360 2818634544 2941183872 3047172480 3074874048 3131816160 3316040640 3416526720 3523293180 3676479840 3758179392 3843592560 3979248768 4124831040 4175754880 4227951816 4570758720 4697724240 4901973120 4974060960 5124790080 5284939770 5637269088 6149748096 6263632320 6632081280 7046586360 7352959680 7516358784 7687185120 8249662080 8455903632 9141517440 9395448480 9948121920 10249580160 10569879540 11274538176 12527264640 14093172720 14705919360 15374370240 16911807264 18790896960 19896243840 21139759080 22549076352 28186345440 30748740480 33823614528 37581793920 42279518160 56372690880 67647229056 84559036320 112745381760 169118072640 338236145280
- Sum of all divisors σ(n): 1531703416320
- Sum of proper divisors (its aliquot sum) s(n): 1193467271040
- 338236145280 is an abundant number, because the sum of its proper divisors (1193467271040) is greater than itself. Its abundance is 855231125760
Bases of 338236145280
- Binary: 1001110110000000111000111111110100000002
- Hexadecimal: 0x4EC071FE80
- Base-36: 4BDT2G00
Squares and roots of 338236145280
- 338236145280 squared (3382361452802) is 114403689973873266278400
- 338236145280 cubed (3382361452803) is 38695463102571077497249027325952000
-
The
square root of 338236145280 is 581580.7298045561 -
The
cube root of 338236145280 is 6967.4416244163
Scales and comparisons
How big is 338236145280?- 338,236,145,280 seconds is equal to 10,754 years, 44 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 338,236,145,280 would take you about twenty-one thousand, five hundred 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 338236145280 cubic inches would be around 580.6 feet tall.
Recreational maths with 338236145280
- 338236145280 backwards is 082541632833
- 338236145280 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 338236145280's digits is 45
- 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 338236145280 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 338236145280 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/338236145280/
Chicago style:
Numbermatics. 2024. "Number 338236145280 - Facts about the integer". https://numbermatics.com/n/338236145280/
The information we have on file for 338236145280 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 338236145280, math, Factors of 338236145280, curriculum, school, college, exams, university, Prime factorization of 338236145280, STEM, science, technology, engineering, physics, economics, calculator, three hundred thirty-eight billion, two hundred thirty-six million, one hundred forty-five thousand, two hundred eighty.