825429675378528
825,429,675,378,528 is an even composite number composed of six prime numbers multiplied together.
What does the number 825429675378528 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
825429675378528 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 825429675378528:
25 × 34 × 112 × 293 × 31 × 592
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 29 × 29 × 29 × 31 × 59 × 59)See below for interesting mathematical facts about the number 825429675378528 from the Numbermatics database.
Names of 825429675378528
- Cardinal: 825429675378528 can be written as Eight hundred twenty-five trillion, four hundred twenty-nine billion, six hundred seventy-five million, three hundred seventy-eight thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 8.25429675378528 × 1014
Factors of 825429675378528
Divisors of 825429675378528
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 31 32 33 36 44 48 54 58 59 62 66 72 81 87 88 93 96 99 108 116 118 121 124 132 144 162 174 176 177 186 198 216 232 236 242 248 261 264 279 288 297 319 324 341 348 352 354 363 372 396 432 464 472 484 496 522 528 531 558 594 638 648 649 682 696 708 726 744 783 792 837 841 864 891 899 928 944 957 968 992 1023 1044 1056 1062 1089 1116 1188 1276 1296 1298 1364 1392 1416 1452 1488 1566 1584 1593 1674 1682 1711 1782 1798 1829 1888 1914 1936 1947 2046 2088 2124 2178 2232 2349 2376 2511 2523 2552 2592 2596 2697 2728 2784 2832 2871 2904 2976 3069 3132 3168 3186 3267 3348 3364 3422 3481 3509 3564 3596 3658 3751 3828 3872 3894 4092 4176 4248 4356 4464 4698 4752 4779 5022 5046 5104 5133 5192 5394 5456 5487 5664 5742 5808 5841 6138 6264 6372 6534 6696 6728 6844 6962 7018 7128 7139 7192 7316 7502 7569 7656 7788 8091 8184 8352 8496 8613 8712 8928 9207 9251 9396 9504 9558 9801 9889 10044 10092 10208 10266 10384 10443 10527 10788 10912 10974 11253 11484 11616 11682 12276 12528 12744 13068 13392 13456 13688 13924 14036 14256 14278 14384 14632 15004 15138 15312 15399 15576 16182 16368 16461 16992 17226 17424 17523 18414 18502 18792 18821 19116 19602 19778 20088 20119 20184 20532 20768 20886 21054 21417 21576 21948 22506 22707 22968 23364 24273 24389 24552 25056 25488 25839 26071 26136 26784 26912 27376 27621 27753 27848 28072 28512 28556 28768 29264 29667 30008 30276 30624 30798 31152 31329 31581 32364 32736 32922 33759 34452 34848 35046 36828 37004 37584 37642 38232 38291 39204 39556 40176 40238 40368 41064 41772 42108 42834 43152 43896 45012 45414 45936 46197 46728 48546 48778 49104 49383 49619 50976 51678 52142 52272 52569 53041 54752 55242 55506 55696 56144 56463 57112 58528 59334 60016 60357 60552 61596 62304 62658 63162 64251 64728 65844 67518 68121 68904 70092 72819 73167 73656 74008 75168 75284 76464 76582 78213 78408 79112 80352 80476 80736 82128 83259 83544 84216 85668 86304 87792 89001 90024 90828 91872 92394 93456 93987 94743 97092 97556 98208 98766 99238 100949 101277 101761 103356 104284 104544 105138 106082 107911 108779 110484 111012 111392 112288 112926 114224 114873 118668 120032 120714 121104 123192 125316 126324 128502 129456 131688 135036 136242 137808 138591 140184 145638 146334 147312 148016 148149 148857 150568 152928 153164 156426 156816 158224 159123 160952 164256 166518 167088 168432 169389 171336 175584 178002 180048 181071 181656 184788 186912 187974 189486 192753 194184 195112 197532 198476 201898 202554 203522 206712 207031 208568 210276 212164 215822 217558 219501 220968 221309 222024 225852 228448 229746 234639 237336 241428 242208 246384 249777 250632 252648 257004 258912 263376 267003 268279 270072 272484 275616 277182 280368 281961 284229 286781 291276 292668 294624 296032 296298 297714 301136 302847 303831 305283 306328 312852 313632 316448 318246 321904 323733 326337 333036 334176 336864 338778 342672 344619 356004 360096 362142 363312 369576 375948 378972 385506 388368 390224 395064 396952 403796 405108 407044 413424 414062 417136 420552 421201 424328 431644 435116 439002 441936 442618 444048 446571 451704 459492 469278 474672 477369 482856 492768 499554 501264 505296 508167 514008 526752 534006 536558 540144 543213 544968 545809 554364 560736 563922 568458 573562 578259 582552 583451 585336 592596 595428 602272 605694 607662 610566 612656 621093 625704 636492 643808 647466 652674 658503 663927 666072 677556 685344 689238 703917 712008 724284 726624 739152 749331 751896 756059 757944 771012 776736 780448 790128 793904 801009 804837 807592 810216 814088 826848 828124 834272 841104 842402 848656 860343 863288 870232 878004 883872 885236 888096 893142 903408 908541 915849 918984 938556 949344 954738 965712 971199 979011 999108 1002528 1010592 1016334 1028016 1033857 1068012 1073116 1080288 1086426 1089936 1091618 1108728 1110439 1127844 1136916 1147124 1156518 1165104 1166902 1170672 1185192 1187021 1190856 1211388 1215324 1221132 1225312 1242186 1251408 1263603 1272984 1294932 1305348 1317006 1327854 1332144 1339713 1355112 1378476 1407834 1424016 1432107 1438951 1448568 1478304 1498662 1503792 1512118 1515888 1524501 1538189 1542024 1580256 1587808 1602018 1609674 1615184 1620432 1628176 1629639 1637427 1656248 1682208 1684804 1697312 1720686 1726576 1740464 1750353 1756008 1770472 1786284 1806816 1817082 1831698 1837968 1863279 1877112 1909476 1931424 1942398 1958022 1975509 1991781 1998216 2032668 2056032 2067714 2111751 2136024 2146232 2172852 2179872 2183236 2217456 2220878 2255688 2268177 2273832 2294248 2313036 2330208 2333804 2341344 2370384 2374042 2381712 2414511 2422776 2430648 2442264 2484372 2502816 2527206 2545968 2581029 2589864 2610696 2634012 2655708 2664288 2679426 2710224 2725623 2747547 2756952 2815668 2848032 2864214 2877902 2897136 2913597 2927521 2937033 2951069 2997324 3007584 3024236 3031776 3049002 3076378 3084048 3101571 3129419 3154591 3204036 3219348 3230368 3240864 3256352 3259278 3274854 3312496 3331317 3369608 3441372 3453152 3480928 3500706 3512016 3540944 3561063 3572568 3634164 3663396 3675936 3726558 3754224 3790809 3818952 3884796 3916044 3951018 3983562 3996432 4019139 4065336 4135428 4223502 4272048 4292464 4296321 4316853 4345704 4366472 4434912 4441756 4511376 4536354 4547664 4588496 4614567 4626072 4667608 4740768 4748084 4763424 4829022 4845552 4861296 4884528 4912281 4968744 5054412 5091936 5162058 5179728 5221392 5251059 5268024 5311416 5358852 5420448 5451246 5495094 5513904 5589837 5631336 5728428 5755804 5794272 5827194 5855042 5874066 5902138 5975343 5994648 6003899 6048472 6098004 6152756 6168096 6203142 6258838 6309182 6408072 6417961 6438696 6518556 6549708 6624992 6662634 6739216 6804531 6882744 7001412 7024032 7081888 7122126 7145136 7243533 7268328 7326792 7453116 7508448 7581618 7637904 7743087 7769592 7832088 7902036 7967124 7992864 8038278 8130672 8176869 8242641 8270856 8316649 8447004 8544096 8584928 8592642 8633706 8691408 8732944 8740791 8782563 8811099 8853207 8883512 9022752 9072708 9095328 9176992 9229134 9252144 9335216 9388257 9463773 9496168 9658044 9691104 9722592 9769056 9824562 9937488 9993951 10108824 10324116 10359456 10442784 10502118 10536048 10622832 10683189 10717704 10902492 10990188 11027808 11179674 11262672 11372427 11456856 11511608 11654388 11710084 11748132 11804276 11950686 11989296 12007798 12096944 12196008 12214829 12305512 12406284 12517676 12618364 12816144 12835922 12877392 12950559 13037112 13057231 13099416 13325268 13478432 13609062 13765488 13843701 14002824 14244252 14290272 14487066 14536656 14653584 14736843 14906232 15163236 15275808 15486174 15539184 15664176 15753177 15804072 15828461 15934248 16076556 16261344 16353738 16485282 16541712 16633298 16769511 16894008 16920079 17185284 17267412 17382816 17465888 17481582 17565126 17622198 17706414 17767024 17926029 18011697 18145416 18458268 18504288 18670432 18776514 18927546 18992336 19253883 19316088 19649124 19874976 19987902 20217648 20413593 20648232 21004236 21072096 21245664 21366378 21435408 21730599 21804984 21980376 22359348 22525344 22744854 22913712 23023216 23229261 23308776 23420168 23496264 23608552 23901372 23978592 24015596 24193888 24392016 24429658 24611024 24812568 24949947 25035352 25236728 25632288 25671844 25754784 25901118 26074224 26114462 26198832 26347689 26559621 26650536 27218124 27530976 27687402 28005648 28164771 28391319 28488504 28974132 29073312 29307168 29473686 29812464 29981853 30326472 30972348 31078368 31328352 31506354 31608144 31656922 31868496 32049567 32153112 32202731 32707476 32970564 33083424 33266596 33539022 33788016 33840158 34117281 34370568 34423609 34534824 34963164 35130252 35244396 35412828 35534048 35852058 36023394 36290832 36644487 36916536 37553028 37855092 37984672 38507766 38632176 38851677 39171693 39298248 39975804 40435296 40827186 41296464 41531103 42008472 42732756 42870816 43461198 43609968 43960752 44210529 44607481 44718696 45489708 45827424 46046432 46458522 46617552 46840336 46992528 47217104 47259531 47485383 47802744 48031192 48784032 48859316 49222048 49625136 49899894 50070704 50473456 50760237 51343688 51802236 52148448 52228924 52397664 52695378 53119242 53301072 54035091 54436248 55374804 56011296 56329542 56782638 56977008 57761649 57948264 58947372 59624928 59963706 60652944 61240779 61944696 63012708 63216288 63313844 63736992 64099134 64306224 64405462 65414952 65941128 66533192 67078044 67576032 67680316 68234562 68741136 68847218 69069648 69926328 70260504 70488792 70825656 71704116 72046788 72581664 73288974 73833072 74849841 75106056 75710184 77015532 77264352 77703354 78343386 78596496 79043067 79678863 79951608 81654372 82592928 83062206 84016944 84494313 84898109 85173957 85465512 86922396 87219936 87921504 88421058 89214962 89437392 89945559 90753151 90979416 91483139 92917044 93235104 93680672 93985056 94434208 94519062 94970766 95605488 96062384 96148701 96608193 97718632 99250272 99799788 100141408 100946912 101520474 102687376 103270827 103604472 104457848 105390756 106238484 106602144 108070182 108872496 109933461 110749608 112659084 113565276 113954016 115523298 115896528 116555031 117515079 117894744 119927412 121305888 122481558 123889392 124593309 126025416 126627688 128198268 128612448 128810924 130829904 131882256 133066384 133822443 134156088 135360632 136469124 137482272 137694436 138139296 139852656 140521008 140977584 141651312 142456149 143408232 144093576 146577948 147666144 149699682 150212112 151420368 152280711 154031064 155406708 156686772 157192992 158086134 159357726 159903216 162105273 163308744 166124412 168033888 168988626 169796218 170347914 170931024 173284947 173844792 174113071 176842116 178429924 178874784 179891118 181506302 181958832 182966278 185834088 186120869 189038124 189941532 191210976 192124768 192297402 193216386 195437264 199599576 203040948 205374752 206541654 207208944 208915696 210781512 212476968 216140364 217744992 219866922 221499216 224549523 225318168 227130552 231046596 231793056 233110062 235030158 235789488 237129201 239036589 239854824 244963116 247778784 249186618 252050832 253255376 253482939 254694327 255521871 256396536 257621848 261659808 263764512 266132768 267644886 268312176 270721264 272259453 272938248 274449417 275388872 279705312 281042016 281955168 283302624 284912298 286816464 288187152 289824579 293155896 299399364 300424224 302840736 304561422 308062128 309812481 310813416 313373544 316172268 318715452 319806432 324210546 326617488 329800383 332248824 337977252 339592436 340695828 341862048 346569894 347689584 348226142 352545237 353684232 354230041 356859848 359782236 363012604 363917664 365932556 371668176 372241738 378076248 378659699 379883064 384594804 386432772 390874528 399199152 401467329 406081896 413083308 414417888 417831392 421563024 424953936 427368447 432280728 439733844 442998432 449099046 450636336 454261104 456842133 462093192 466220124 470060316 471578976 474258402 478073178 479709648 486315819 489926232 490682291 498373236 504101664 506510752 506965878 509388654 511043742 512793072 515243696 519854841 522339213 535289772 536624352 541442528 544518906 545876496 548898834 550777744 558362607 569824596 573632928 576374304 579649158 586311792 598798728 609122844 616124256 619624962 621626832 626747088 632344536 637430904 648421092 653234976 659600766 664497648 673648569 675954504 679184872 681391656 693139788 695379168 696452284 705090474 707368464 708460082 713719696 719564472 726025208 731865112 743336352 744483476 756152496 757319398 759766128 764082981 769189608 772865544 798398304 802934658 812163792 816778359 823348251 826166616 843126048 849907872 854736894 864561456 869473737 879467688 898198092 901272672 908522208 913684266 924186384 929437443 932440248 933879199 940120632 948516804 956146356 959419296 972631638 979852464 981364582 989401149 996746472 998284661 1013931756 1018777308 1022087484 1025586144 1030487392 1039709682 1044678426 1057635711 1062690123 1070579544 1089037812 1091752992 1097797668 1101555488 1116725214 1135979097 1139649192 1159298316 1172623584 1197597456 1204401987 1218245688 1239249924 1243253664 1253494176 1264689072 1274861808 1282105341 1296842184 1319201532 1328995296 1347297138 1351909008 1358369744 1362783312 1370526399 1386279576 1392904568 1410180948 1414736928 1416920164 1427439392 1439128944 1452050416 1463730224 1472046873 1488966952 1512304992 1514638796 1519532256 1528165962 1538379216 1545731088 1567017639 1605869316 1624327584 1633556718 1646696502 1652333232 1675087821 1709473788 1729122912 1738947474 1758935376 1796396184 1827368532 1848372768 1858874886 1864880496 1867758398 1880241264 1897033608 1912292712 1945263276 1959704928 1962729164 1978802298 1993492944 1996569322 2027863512 2037554616 2044174968 2079419364 2089356852 2115271422 2125380246 2141159088 2178075624 2195595336 2233450428 2271958194 2279298384 2292248943 2318596632 2395194912 2408803974 2436491376 2450335077 2470044753 2478499848 2529378144 2549723616 2564210682 2593684368 2608421211 2631841379 2638403064 2694594276 2703818016 2716739488 2725566624 2741052798 2772559152 2785809136 2788312329 2801637597 2820361896 2833840328 2878257888 2904100832 2927460448 2944093746 2977933904 2994853983 3029277592 3056331924 3076758432 3091462176 3134035278 3188070369 3211738632 3267113436 3293393004 3304666464 3350175642 3407937291 3418947576 3477894948 3517870752 3592792368 3613205961 3654737064 3717749772 3729760992 3735516796 3760482528 3794067216 3824585424 3890526552 3925458328 3957604596 3986985888 3993138644 4055727024 4075109232 4088349936 4158838728 4178713704 4230542844 4250760492 4282318176 4356151248 4391190672 4416140619 4466900856 4543916388 4558596768 4584497886 4637193264 4701052917 4817607948 4872982752 4900670154 4940089506 4956999696 5025263463 5128421364 5187368736 5216842422 5263682758 5276806128 5389188552 5397505201 5482105596 5545118304 5571618272 5576624658 5603275194 5640723792 5667680656 5888187492 5955867808 5989707966 6058555184 6112663848 6268070556 6376140738 6423477264 6534226872 6586786008 6700351284 6815874582 6837895152 6876746829 6955789896 7185584736 7226411922 7309474128 7351005231 7410134259 7435499544 7471033592 7588134432 7649170848 7781053104 7850916656 7895524137 7915209192 7986277288 8111454048 8150218464 8176699872 8317677456 8357427408 8404912791 8461085688 8501520984 8712302496 8782381344 8832281238 8933801712 8984561949 9087832776 9168995772 9274386528 9402105834 9564211107 9635215896 9801340308 9880179012 9913999392 10050526926 10223811873 10256842728 10272671189 10433684844 10527365516 10553612256 10778377104 10795010402 10964211192 10981131271 11153249316 11206550388 11281447584 11335361312 11776374984 11979415932 12117110368 12225327696 12536141112 12752281476 12846954528 13068453744 13173572016 13248421857 13400702568 13631749164 13675790304 13753493658 13911579792 14103158751 14452823844 14618948256 14702010462 14820268518 14870999088 14942067184 15075790389 15562106208 15701833312 15791048274 15830418384 15972554576 16192515603 16635354912 16714854816 16809825582 16922171376 17003041968 17664562476 17867603424 17969123898 18175665552 18337991544 18804211668 19128422214 19270431792 19602680616 19760358024 20101053852 20447623746 20513685456 20545342378 20867369688 21054731032 21556754208 21590020804 21928422384 21962262542 22306498632 22413100776 23552749968 23686572411 23958831864 24450655392 25072282224 25214738373 25504562952 26136907488 26347144032 26496843714 26801405136 26953685847 27263498328 27506987316 27823159584 28206317502 28692633321 28905647688 28950255169 29404020924 29640537036 29741998176 29884134368 30151580778 30671435619 30818013567 31582096548 31660836768 31945109152 32385031206 32943393813 33619651164 33844342752 34006083936 35329124952 35938247796 36351331104 36675983088 37608423336 38256844428 38540863584 39205361232 39520716048 39745265571 40202107704 40895247492 41027370912 41090684756 41734739376 42109462064 43180041608 43856844768 43924525084 44612997264 44826201552 47105499936 47373144822 47917663728 48577546809 50144564448 50429476746 51009125904 52993687428 53602810272 53907371694 54526996656 55013974632 56412635004 57385266642 57811295376 57900510338 58808041848 59281074072 60303161556 61342871238 61636027134 63164193096 64770062412 65886787626 67239302328 70658249904 71059717233 71876495592 73351966176 75216846672 75644215119 76513688856 78410722464 79041432096 79490531142 80404215408 80861057541 81790494984 82181369512 83469478752 84218924128 86360083216 86850765507 87849050168 89225994528 89652403104 92454040701 94746289644 95835327456 97155093618 98830181439 100858953492 102018251808 105987374856 107814743388 109053993312 110027949264 112825270008 114770533284 115622590752 115801020676 117616083696 118562148144 120606323112 122685742476 123272054268 126328386192 129540124824 131773575252 134478604656 141316499808 142119434466 143752991184 145732640427 150433693344 151288430238 153027377712 158981062284 160808430816 161722115082 163580989968 164362739024 172720166432 173701531014 175698100336 184908081402 189492579288 194310187236 197660362878 201717906984 211974749712 213179151699 215629486776 220055898528 225650540016 229541066568 231602041352 235232167392 237124296288 241212646224 245371484952 246544108536 252656772384 259080249648 260552296521 263547150504 268957209312 277362122103 284238868932 287505982368 291465280854 296490544317 302576860476 306054755424 317962124568 318452806859 323444230164 327161979936 328725478048 347403062028 351396200672 369816162804 378985158576 388620374472 395320725756 403435813968 423949499424 426358303398 431258973552 437197921281 451301080032 459082133136 463204082704 482425292448 490742969904 493088217072 518160499296 521104593042 527094301008 554724244206 568477737864 582930561708 592981088634 605153720952 635924249136 636905613718 646888460328 694806124056 739632325608 757970317152 777240748944 781656889563 790641451512 806871627936 832086366309 852716606796 862517947104 874395842562 889471632951 918164266272 926408165408 955358420577 981485939808 986176434144 1042209186084 1054188602016 1109448488412 1136955475728 1165861123416 1185962177268 1210307441904 1271848498272 1273811227436 1293776920656 1389612248112 1479264651216 1554481497888 1563313779126 1581282903024 1664172732618 1705433213592 1748791685124 1778943265902 1910716841154 2084418372168 2218896976824 2273910951456 2331722246832 2344970668689 2371924354536 2420614883808 2547622454872 2587553841312 2779224496224 2866075261731 2958529302432 3126627558252 3162565806048 3328345465236 3410866427184 3497583370248 3557886531804 3821433682308 4168836744336 4437793953648 4663444493664 4689941337378 4743848709072 5095244909744 5732150523462 6253255116504 6656690930472 6821732854368 6995166740496 7115773063608 7642867364616 8337673488672 8598225785193 8875587907296 9379882674756 9487697418144 10190489819488 11464301046924 12506510233008 13313381860944 13990333480992 14231546127216 15285734729232 17196451570386 18759765349512 22928602093848 25013020466016 25794677355579 26626763721888 28463092254432 30571469458464 34392903140772 37519530699024 45857204187696 51589354711158 68785806281544 75039061398048 91714408375392 103178709422316 137571612563088 206357418844632 275143225126176 412714837689264 825429675378528
- Sum of all divisors σ(n): 2901929196862080
- Sum of proper divisors (its aliquot sum) s(n): 2076499521483552
- 825429675378528 is an abundant number, because the sum of its proper divisors (2076499521483552) is greater than itself. Its abundance is 1251069846105024
Bases of 825429675378528
- Binary: 101110111010111001010100101001011010000111011000002
- Hexadecimal: 0x2EEB952968760
- Base-36: 84L95ORA00
Squares and roots of 825429675378528
- 825429675378528 squared (8254296753785282) is 681334148995502113180083446784
- 825429675378528 cubed (8254296753785283) is 562393425429662938495018919849627542144253952
-
The
square root of 825429675378528 is 28730291.9473250045 -
The
cube root of 825429675378528 is 93805.1522735231
Scales and comparisons
How big is 825429675378528?- 825,429,675,378,528 seconds is equal to 26,246,110 years, 23 weeks, 4 days, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 825,429,675,378,528 would take you about sixty-five million, six hundred fifteen thousand, two hundred seventy-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 825429675378528 cubic inches would be around 7817.1 feet tall.
Recreational maths with 825429675378528
- 825429675378528 backwards is 825873576924528
- 825429675378528 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 825429675378528'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 825429675378528 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 825429675378528 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/825429675378528/
Chicago style:
Numbermatics. 2024. "Number 825429675378528 - Facts about the integer". https://numbermatics.com/n/825429675378528/
The information we have on file for 825429675378528 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 825429675378528, math, Factors of 825429675378528, curriculum, school, college, exams, university, Prime factorization of 825429675378528, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-five trillion, four hundred twenty-nine billion, six hundred seventy-five million, three hundred seventy-eight thousand, five hundred twenty-eight.