39659914394880
39,659,914,394,880 is an even composite number composed of nine prime numbers multiplied together.
39659914394880 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 39659914394880:
28 × 3 × 5 × 13 × 19 × 37 × 73 × 113 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 37 × 73 × 113 × 137)See below for interesting mathematical facts about the number 39659914394880 from the Numbermatics database.
Names of 39659914394880
- Cardinal: 39659914394880 can be written as Thirty-nine trillion, six hundred fifty-nine billion, nine hundred fourteen million, three hundred ninety-four thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 3.965991439488 × 1013
Factors of 39659914394880
Divisors of 39659914394880
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 37 38 39 40 48 52 57 60 64 65 73 74 76 78 80 95 96 104 111 113 114 120 128 130 137 146 148 152 156 160 185 190 192 195 208 219 222 226 228 240 247 256 260 274 285 292 296 304 312 320 339 365 370 380 384 390 411 416 438 444 452 456 480 481 494 520 548 555 565 570 584 592 608 624 640 678 685 703 730 740 741 760 768 780 822 832 876 888 904 912 949 960 962 988 1040 1095 1096 1110 1130 1140 1168 1184 1216 1235 1248 1280 1356 1370 1387 1406 1443 1460 1469 1480 1482 1520 1560 1644 1664 1695 1752 1776 1781 1808 1824 1898 1920 1924 1976 2055 2080 2109 2147 2190 2192 2220 2260 2280 2336 2368 2405 2432 2470 2496 2603 2701 2712 2740 2774 2812 2847 2886 2920 2938 2960 2964 3040 3120 3288 3328 3390 3504 3515 3552 3562 3616 3648 3705 3796 3840 3848 3952 4110 4160 4161 4181 4218 4294 4380 4384 4407 4440 4520 4560 4672 4736 4745 4810 4864 4940 4992 5069 5206 5343 5402 5424 5480 5548 5624 5694 5772 5840 5876 5920 5928 6080 6240 6441 6576 6780 6935 7008 7030 7104 7124 7215 7232 7296 7345 7410 7592 7696 7809 7904 8103 8220 8249 8320 8322 8362 8436 8588 8760 8768 8814 8880 8905 9040 9120 9139 9344 9472 9490 9620 9880 9984 10001 10138 10412 10545 10686 10735 10804 10848 10960 11096 11248 11388 11544 11680 11752 11840 11856 12160 12480 12543 12882 13015 13152 13505 13560 13870 14016 14060 14208 14235 14248 14430 14464 14592 14690 14820 15184 15207 15392 15481 15618 15808 16206 16440 16498 16640 16644 16724 16872 17176 17520 17536 17628 17760 17810 18031 18080 18240 18278 18688 18980 19240 19760 20002 20276 20805 20824 20905 21090 21372 21470 21608 21696 21920 22035 22192 22496 22776 23088 23360 23504 23680 23712 24320 24747 24960 25086 25345 25764 26030 26304 26715 27010 27120 27417 27740 27911 28032 28120 28416 28470 28496 28860 28928 29380 29640 30003 30368 30414 30784 30962 31236 31616 32205 32412 32880 32996 33288 33448 33744 33839 34352 35040 35072 35113 35256 35520 35620 36062 36160 36480 36556 37960 38480 39045 39520 40004 40515 40552 41245 41610 41648 41810 42180 42744 42940 43216 43392 43840 44070 44384 44992 45552 45695 46176 46443 46720 47008 47360 47424 49494 49920 50005 50172 50690 51319 51528 52060 52608 53430 54020 54093 54240 54353 54834 55480 55822 56064 56240 56940 56992 57720 58760 59280 60006 60736 60828 61568 61924 62472 62715 63232 64410 64824 65760 65897 65992 66576 66896 67488 67678 68704 70080 70226 70512 71040 71240 72124 72320 72960 73112 75920 76035 76960 77405 78090 79040 79439 80008 81030 81104 82490 83220 83296 83620 83733 84360 85488 85880 86432 86784 87680 88140 88768 89984 90155 91104 91390 92352 92886 93440 94016 94848 96311 98988 100010 100344 101380 101517 102638 103056 104120 105216 105339 106860 107237 108040 108186 108480 108706 109668 110960 111644 112480 113880 113984 115440 117520 118560 120012 121472 121656 123136 123735 123848 124944 125430 128820 129648 130013 131520 131794 131984 133152 133792 134976 135356 137085 137408 139555 140160 140452 141024 142080 142480 144248 144640 146224 150015 151840 152070 153920 153957 154810 156180 156731 158080 158878 160016 162060 162208 163059 164980 166440 166592 167240 167466 168720 169195 170976 171760 172864 175360 175565 176280 177536 179968 180310 182208 182780 184704 185772 188032 189696 190019 192622 197691 197976 200020 200688 201253 202760 203034 205276 206112 208240 210678 213720 214474 216080 216372 216960 217412 219336 221920 223288 224960 227760 227968 230880 232215 235040 237120 238317 240024 242944 243312 247470 247696 249888 250860 256595 257640 259296 260026 263040 263588 263968 266304 267584 269952 270465 270712 271765 274170 274816 279110 280320 280904 282048 284960 288496 288933 292448 294139 300030 303680 304140 305213 307840 307914 309620 312360 313462 316160 317756 320032 321711 324120 324416 326118 329485 329960 332880 333184 334480 334932 337440 338390 341952 343520 345728 351130 352560 355072 360620 364416 365560 369408 370037 371544 376064 380038 385244 390039 395382 395952 397195 400040 401376 402506 405520 406068 410552 412224 416480 418665 421356 427440 428948 432160 432744 433920 434824 438672 443840 446576 449920 455520 455936 461760 464430 470080 470193 474240 476634 480048 481555 486624 494940 495392 499776 501720 507585 513190 515280 518592 520052 526080 526695 527176 527936 532608 535168 536185 539904 540930 541424 543530 548340 549632 558220 561808 564096 569920 570057 572797 576992 577866 584896 588278 600060 603759 607360 608280 610426 615680 615828 619240 624720 626924 635512 640064 643422 648240 648832 650065 652236 658970 659920 665760 666368 667147 668960 669864 674880 676780 683904 687040 691456 702260 705120 721240 728832 731120 740074 743088 760076 769785 770488 780078 783655 790764 791904 794390 800080 802752 805012 811040 812136 815295 821104 824448 832960 837330 842712 854880 857896 864320 865488 869648 877344 882417 887680 893152 899840 911040 915639 923520 928860 940160 940386 948480 950095 953268 960096 963110 973248 988455 989880 990784 999552 1003440 1006265 1015170 1026380 1030560 1032707 1037184 1040104 1053390 1054352 1055872 1065216 1070336 1072370 1081860 1082848 1087060 1096680 1110111 1116440 1123616 1128192 1130113 1139840 1140114 1145594 1153984 1155732 1169792 1176556 1191585 1200120 1207518 1214720 1216560 1220852 1231656 1238480 1249440 1252043 1253848 1271024 1280128 1286844 1296480 1297664 1300130 1304472 1317940 1319840 1331520 1334294 1337920 1339728 1349760 1353560 1367808 1374080 1404520 1410240 1442480 1444665 1462240 1470695 1480148 1486176 1520152 1526065 1539570 1540976 1560156 1567310 1581528 1583808 1588780 1600160 1605504 1608555 1610024 1622080 1624272 1630590 1642208 1648896 1665920 1674660 1685424 1709760 1715792 1718391 1728640 1730976 1739296 1754688 1764834 1775360 1786304 1822080 1831278 1847040 1850185 1857720 1880320 1880772 1900190 1906536 1920192 1926220 1946496 1950195 1976910 1979760 1981568 1999104 2001441 2006880 2012530 2030340 2037503 2052760 2061120 2065414 2074368 2080208 2106780 2108704 2111744 2144740 2163720 2165696 2174120 2193360 2220222 2232880 2247232 2260226 2279680 2280228 2291188 2307968 2311464 2339584 2350965 2353112 2383170 2400240 2415036 2433120 2441704 2463312 2470247 2476960 2498880 2504086 2507696 2542048 2560256 2573688 2592960 2600260 2608944 2635880 2639680 2663040 2668588 2675840 2679456 2699520 2707120 2748160 2809040 2820480 2850285 2863985 2884960 2889330 2924480 2941390 2960296 2972352 3018795 3040304 3052130 3079140 3081952 3098121 3120312 3134620 3163056 3167616 3177560 3200320 3211008 3217110 3220048 3244160 3248544 3261180 3284416 3331840 3335735 3349320 3370848 3390339 3419520 3431584 3436782 3457280 3461952 3478592 3509376 3529668 3572608 3644160 3662556 3700370 3715440 3756129 3761544 3800380 3813072 3823807 3840384 3852440 3892992 3900390 3953820 3959520 3963136 3967769 4002882 4013760 4025060 4060680 4075006 4105520 4122240 4130828 4160416 4213560 4217408 4289480 4327440 4331392 4348240 4386720 4412085 4440444 4465760 4494464 4520452 4560456 4578195 4582376 4615936 4622928 4701930 4706224 4766340 4800480 4810481 4830072 4866240 4883408 4926624 4940494 4953920 4997760 5008172 5015392 5084096 5147376 5163535 5185920 5200520 5217888 5271760 5279360 5326080 5337176 5351680 5358912 5414240 5550555 5618080 5640960 5650565 5700570 5727970 5769920 5778660 5799047 5848960 5882780 5920592 5944704 6037590 6080608 6104260 6112509 6158280 6163904 6196242 6240624 6260215 6269240 6326112 6335232 6355120 6400640 6434220 6440096 6488320 6497088 6522360 6568832 6671470 6698640 6741696 6780678 6839040 6863168 6873564 6923904 6957184 7018752 7030703 7059336 7145216 7325112 7400740 7410741 7430880 7446361 7512258 7523088 7600760 7626144 7647614 7680768 7704880 7800780 7907640 7919040 7935538 8005764 8027520 8050120 8121360 8150012 8211040 8244480 8261656 8320832 8427120 8434816 8578960 8591955 8654880 8662784 8696480 8773440 8824170 8880888 8931520 8988928 9040904 9120912 9156390 9164752 9245856 9403860 9412448 9532680 9600960 9620962 9660144 9732480 9766816 9853248 9880988 9907840 9995520 10007205 10016344 10030784 10168192 10187515 10294752 10327070 10371840 10401040 10435776 10543520 10558720 10674352 10717824 10828480 10883143 11101110 11236160 11301130 11401140 11455940 11471421 11539840 11557320 11598094 11697920 11765560 11841184 11889408 11903307 12075180 12161216 12208520 12225018 12316560 12327808 12351235 12392484 12481248 12520430 12538480 12652224 12710240 12801280 12868440 12880192 12994176 13044720 13137664 13342940 13397280 13483392 13561356 13726336 13747128 13847808 13914368 14061406 14118672 14431443 14650224 14691469 14801480 14821482 14861760 14892722 15024516 15046176 15201520 15252288 15295228 15409760 15490605 15601560 15815280 15838080 15871076 16011528 16055040 16100240 16242720 16300024 16422080 16523312 16641664 16854240 16869632 16951695 17157920 17183910 17309760 17392960 17397141 17546880 17648340 17761776 17863040 18081808 18241824 18312780 18329504 18491712 18780645 18807720 18824896 19065360 19119035 19201920 19241924 19320288 19464960 19533632 19706496 19761976 19815680 19838845 20014410 20032688 20061568 20336384 20375030 20589504 20654140 20802080 20871552 21087040 21092109 21348704 21435648 21472147 21656960 21766286 22202220 22339083 22472320 22602260 22802280 22911880 22942842 23079680 23114640 23196188 23531120 23682368 23806614 24052405 24150360 24322432 24417040 24450036 24633120 24655616 24702470 24784968 24962496 25040860 25076960 25304448 25420480 25736880 25760384 25988352 26089440 26685880 26794560 26966784 27122712 27452672 27494256 28122812 28237344 28862886 28995235 29300448 29382938 29602960 29642964 29723520 29785444 30049032 30092352 30403040 30504576 30562545 30590456 30819520 30981210 31203120 31630560 31676160 31742152 32023056 32200480 32485440 32600048 32649429 32844160 33046624 33283328 33708480 33903390 34315840 34367820 34619520 34785920 34794282 35093760 35153515 35296680 35523552 35726080 36163616 36483648 36625560 36659008 36983424 37053705 37231805 37561290 37615440 37649792 38130720 38238070 38403840 38483848 38640576 39067264 39412992 39523952 39677690 40028820 40065376 40123136 40750060 41179008 41308280 41604160 41743104 41814181 42174080 42184218 42697408 42944294 43313920 43532572 44074407 44404440 44678166 44944640 45204520 45604560 45823760 45885684 46229280 46392376 47062240 47364736 47613228 48104810 48300720 48644864 48834080 48900072 49266240 49404940 49569936 49924992 50081720 50153920 50608896 50840960 51473760 51520768 52178880 53371760 53589120 54245424 54415715 54988512 56245624 56474688 57357105 57725772 57990470 58600896 58765876 59205920 59285928 59447040 59516535 59570888 60098064 60184704 60806080 61009152 61125090 61180912 61639040 61962420 62406240 63261120 63484304 64046112 64400960 64416441 64970880 65200096 65298858 65688320 66093248 67416960 67806780 68631680 68735640 69239040 69571840 69588564 70307030 70593360 71047104 72157215 72327232 72967296 73251120 73318016 73457345 73966848 74107410 74463610 75122580 75230880 75299584 75387611 76261440 76476140 76967696 77281152 78134528 79047904 79355380 80057640 80130752 81500120 82358016 82616560 83208320 83628362 84348160 84368436 85394816 85888588 86985705 87065144 88148814 88808880 89356332 90409040 91209120 91399139 91647520 91771368 92458560 92784752 94124480 94729472 95226456 96209620 96601440 97668160 97800144 98532480 98809880 99139872 99849984 100163440 100307840 101681920 102947520 104357760 105460545 106743520 107178240 107360735 108490848 108831430 109977024 111695415 112491248 112949376 114714210 115451544 115980940 117201792 117531752 118411840 118571856 119033070 119141776 120196128 120369408 121612160 122250180 122361824 123278080 123924840 124812480 125442543 126522240 126968608 128092224 128801920 128832882 129941760 130400192 130597716 132186496 134833920 135613560 137263360 137471280 139177128 140614060 141186720 141480859 142094208 144314430 144654464 145934592 146502240 146636032 146914690 148214820 148927220 150245160 150461760 150775222 152522880 152952280 153935392 154562304 158095808 158710760 160115280 160261504 163000240 163247145 165233120 166416640 167256724 168736872 170789632 171777176 173971410 174130288 176297628 177617760 178712664 180818080 182418240 182798278 183295040 183542736 184917120 185569504 188248960 190452912 192419240 193202880 195336320 195600288 197064960 197619760 198279744 200326880 200615680 205895040 208715520 209070905 210921090 213487040 214721470 216981696 217662860 219954048 220372035 223390830 224982496 225898752 226162833 229428420 230903088 231961880 234403584 235063504 236823680 237143712 238066140 238283552 240392256 243224320 244500360 244723648 247849680 249624960 250885086 253044480 253937216 256184448 257603840 257665764 260800384 261195432 264372992 271227120 274197417 274942560 278354256 279137911 281228120 282373440 282961718 284188416 288628860 289308928 293004480 293829380 296429640 297854440 300490320 300923520 301550444 305045760 305904560 307870784 316191616 317421520 320230560 320523008 322082205 326000480 326494290 330466240 334513448 337473744 343554352 347942820 348260576 352595256 355235520 357425328 361636160 364836480 365596556 366590080 367085472 369834240 371139008 376497920 376938055 380905824 384838480 386405760 390672640 391200576 395239520 396559488 400653760 411790080 418141810 421842180 424442577 426974080 429442940 433963392 435325720 439908096 440744070 446781660 449964992 452325666 456995695 458856840 461806176 463923760 470127008 473647360 474287424 476132280 476567104 480784512 489000720 489447296 495699360 499249920 501770172 507874432 512368896 515331528 521600768 522390864 542454240 543584353 548394834 549885120 556708512 558275822 562456240 564746880 565923436 577257720 586008960 587658760 592859280 595708880 600980640 601847040 603100888 611809120 615741568 627212715 632383232 634843040 640461120 644164410 652000960 652988580 660932480 669026896 674947488 687108704 695885640 696521152 705190512 707404295 710471040 714850656 723272320 729672960 731193112 733180160 734170944 742278016 753876110 761811648 769676960 772811520 782401152 790479040 793118976 794469439 801307520 836283620 837413733 843684360 848885154 853948160 858885880 867926784 870651440 881488140 893563320 899929984 904651332 913991390 917713680 923612352 927847520 940254016 948574848 952264560 953134208 961569024 978001440 978894592 991398720 1003540344 1015748864 1030663056 1044781728 1084908480 1087168706 1096789668 1099770240 1113417024 1116551644 1124912480 1129493760 1130814165 1131846872 1154515440 1172017920 1175317520 1185718560 1191417760 1201961280 1206201776 1223618240 1231483136 1254425430 1269686080 1280922240 1288328820 1304001920 1305977160 1321864960 1338053792 1349894976 1370987085 1374217408 1391771280 1393042304 1395689555 1410381024 1414808590 1420942080 1429701312 1446544640 1462386224 1468341888 1484556032 1507752220 1523623296 1539353920 1564802304 1580958080 1588938878 1602615040 1630753059 1672567240 1674827466 1687368720 1697770308 1717771760 1741302880 1762976280 1787126640 1799859968 1809302664 1827982780 1835427360 1847224704 1855695040 1880508032 1897149696 1904529120 1906268416 1956002880 1982797440 2007080688 2061326112 2089563456 2122212885 2169816960 2174337412 2193579336 2199540480 2226834048 2233103288 2249824960 2261628330 2263693744 2309030880 2350635040 2371437120 2382835520 2383408317 2403922560 2412403552 2447236480 2508850860 2539372160 2561844480 2576657640 2608003840 2611954320 2676107584 2699789952 2717921765 2741974170 2748434816 2783542560 2786084608 2791379110 2820762048 2829617180 2859402624 2924772448 2936683776 3015504440 3047246592 3078707840 3161916160 3177877756 3261506118 3345134480 3349654932 3374737440 3395540616 3435543520 3482605760 3525952560 3574253280 3618605328 3655965560 3670854720 3694449408 3711390080 3761016064 3809058240 3912005760 3965594880 3972347195 4014161376 4122652224 4179126912 4187068665 4244425770 4339633920 4348674824 4387158672 4453668096 4466206576 4499649920 4523256660 4527387488 4618061760 4701270080 4742874240 4765671040 4766816634 4807845120 4824807104 4894472960 5017701720 5078744320 5153315280 5223908640 5352215168 5399579904 5435843530 5483948340 5496869632 5567085120 5582758220 5641524096 5659234360 5718805248 5849544896 6031008880 6157415680 6355755512 6523012236 6690268960 6699309864 6749474880 6791081232 6871087040 6965211520 7051905120 7148506560 7237210656 7311931120 7341709440 7422780160 7618116480 7824011520 7944694390 8028322752 8153765295 8245304448 8358253824 8374137330 8488851540 8697349648 8774317344 8932413152 8999299840 9046513320 9054774976 9236123520 9402540160 9485748480 9531342080 9533633268 9649614208 10035403440 10306630560 10328102707 10447817280 10704430336 10871687060 10967896680 11134170240 11165516440 11283048192 11318468720 11699089792 11917041585 12062017760 12711511024 13046024472 13380537920 13398619728 13498949760 13582162464 13742174080 13930423040 14103810240 14297013120 14474421312 14623862240 14683418880 15236232960 15889388780 16056645504 16307530590 16490608896 16748274660 16977703080 17394699296 17548634688 17864826304 18093026640 18109549952 18472247040 18805080320 19067266536 19299228416 20070806880 20613261120 20656205414 20895634560 21743374120 21935793360 22268340480 22331032880 22636937440 23398179584 23834083170 24124035520 25423022048 26092048944 26761075840 26797239456 26997899520 27164324928 27484348160 28207620480 28594026240 28948842624 29247724480 30984308121 31778777560 32113291008 32615061180 33496549320 33955406160 34789398592 35097269376 35729652608 36186053280 36219099904 38134533072 40141613760 41226522240 41312410828 41791269120 43486748240 43871586720 44662065760 45273874880 47668166340 48248071040 50846044096 51640513535 52184097888 53522151680 53594478912 54328649856 56415240960 57897685248 58495448960 61968616242 63557555120 65230122360 66993098640 67910812320 69578797184 70194538752 71459305216 72372106560 76269066144 80283227520 82453044480 82624821656 86973496480 87743173440 89324131520 90547749760 95336332680 96496142080 101692088192 103281027070 104368195776 107188957824 108657299712 116990897920 123937232484 127115110240 130460244720 133986197280 135821624640 139157594368 144744213120 152538132288 154921540605 160566455040 165249643312 173946992960 175486346880 178648263040 181095499520 190672665360 203384176384 206562054140 208736391552 214377915648 247874464968 254230220480 260920489440 267972394560 271643249280 289488426240 305076264576 309843081210 330499286624 347893985920 350972693760 357296526080 381345330720 413124108280 417472783104 495748929936 508460440960 521840978880 535944789120 543286498560 610152529152 619686162420 660998573248 695787971840 762690661440 826248216560 991497859872 1016920881920 1043681957760 1071889578240 1239372324840 1321997146496 1525381322880 1652496433120 1982995719744 2087363915520 2478744649680 2643994292992 3050762645760 3304992866240 3965991439488 4957489299360 6609985732480 7931982878976 9914978598720 13219971464960 19829957197440 39659914394880
- Sum of all divisors σ(n): 151911071585280
- Sum of proper divisors (its aliquot sum) s(n): 112251157190400
- 39659914394880 is an abundant number, because the sum of its proper divisors (112251157190400) is greater than itself. Its abundance is 72591242795520
Bases of 39659914394880
- Binary: 10010000010010000010110001101111111101000000002
- Hexadecimal: 0x24120B1BFD00
- Base-36: E23IH1IIO
Squares and roots of 39659914394880
- 39659914394880 squared (396599143948802) is 1572908809809209836570214400
- 39659914394880 cubed (396599143948803) is 62381428747985849343789538330407862272000
-
The
square root of 39659914394880 is 6297611.8009035775 -
The
cube root of 39659914394880 is 34102.3199101861
Scales and comparisons
How big is 39659914394880?- 39,659,914,394,880 seconds is equal to 1,261,062 years, 31 weeks, 1 day, 23 hours, 28 minutes.
-
To count from 1 to 39,659,914,394,880 would take you about three million, one hundred fifty-two thousand, six hundred fifty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 39659914394880 cubic inches would be around 2841.9 feet tall.
Recreational maths with 39659914394880
- 39659914394880 backwards is 08849341995693
- 39659914394880 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 39659914394880's digits is 78
- 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 39659914394880 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 39659914394880 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/39659914394880/
Chicago style:
Numbermatics. 2024. "Number 39659914394880 - Facts about the integer". https://numbermatics.com/n/39659914394880/
The information we have on file for 39659914394880 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 39659914394880, math, Factors of 39659914394880, curriculum, school, college, exams, university, Prime factorization of 39659914394880, STEM, science, technology, engineering, physics, economics, calculator, thirty-nine trillion, six hundred fifty-nine billion, nine hundred fourteen million, three hundred ninety-four thousand, eight hundred eighty.