98141737032768
98,141,737,032,768 is an even composite number composed of seven prime numbers multiplied together.
98141737032768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 98141737032768:
26 × 3 × 112 × 132 × 19 × 312 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 13 × 19 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 98141737032768 from the Numbermatics database.
Names of 98141737032768
- Cardinal: 98141737032768 can be written as Ninety-eight trillion, one hundred forty-one billion, seven hundred thirty-seven million, thirty-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 9.8141737032768 × 1013
Factors of 98141737032768
Divisors of 98141737032768
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 31 32 33 37 38 39 44 48 52 57 62 64 66 74 76 78 88 93 96 104 111 114 121 124 132 143 148 152 156 169 176 186 192 208 209 222 228 242 247 248 264 286 296 304 312 338 341 352 363 372 403 407 416 418 429 444 456 481 484 494 496 507 528 572 589 592 608 624 627 676 682 703 704 726 741 744 806 814 832 836 858 888 912 961 962 968 988 992 1014 1023 1056 1144 1147 1178 1184 1209 1216 1221 1248 1254 1352 1364 1369 1406 1443 1452 1482 1488 1573 1612 1628 1672 1716 1767 1776 1824 1859 1922 1924 1936 1976 1984 2028 2046 2109 2112 2288 2294 2299 2356 2368 2418 2442 2496 2508 2704 2717 2728 2738 2812 2883 2886 2904 2964 2976 3146 3211 3224 3256 3344 3432 3441 3534 3552 3648 3718 3751 3844 3848 3872 3952 4056 4092 4107 4218 4433 4477 4576 4588 4598 4712 4719 4836 4884 5016 5239 5291 5408 5434 5456 5476 5577 5624 5766 5772 5808 5928 5952 6253 6292 6422 6448 6479 6512 6688 6864 6882 6897 7068 7104 7436 7502 7657 7688 7696 7733 7744 7904 8112 8151 8184 8214 8436 8866 8954 9139 9152 9176 9196 9424 9438 9633 9672 9768 10032 10478 10571 10582 10816 10868 10912 10952 11154 11248 11253 11532 11544 11616 11856 12493 12506 12584 12617 12844 12896 12958 13024 13299 13376 13431 13728 13764 13794 14136 14872 14911 15004 15059 15314 15376 15392 15466 15717 15808 15873 16224 16302 16368 16428 16872 17732 17797 17908 18259 18278 18352 18392 18759 18848 18876 19266 19344 19437 19536 20064 20449 20956 21142 21164 21736 21793 21824 21904 22308 22496 22506 22971 23064 23088 23199 23232 23712 24986 25012 25168 25234 25688 25792 25916 26011 26048 26598 26862 27417 27456 27528 27588 28272 29744 29822 29887 30008 30118 30628 30752 30784 30932 31434 31713 31746 32448 32604 32736 32856 33744 35321 35464 35557 35594 35816 36518 36556 36704 36784 37479 37518 37696 37752 37851 38532 38688 38874 39072 40128 40898 41912 42284 42328 42439 43472 43586 43808 44616 44733 44992 45012 45177 45942 46128 46176 46398 47424 48763 49972 50024 50336 50468 51376 51832 52022 53196 53391 53724 54777 54834 55056 55176 56544 57629 58201 59488 59644 59774 60016 60236 61256 61347 61504 61864 62868 63426 63492 65208 65379 65472 65712 67488 68783 70642 70928 71114 71188 71269 71632 73036 73112 73408 73568 74958 75036 75504 75702 77064 77376 77748 78033 78144 81796 83824 84227 84568 84656 84878 85063 86944 87172 87616 89232 89466 89661 90024 90354 91884 92256 92352 92796 97526 99541 99944 100048 100529 100672 100936 102752 103664 104044 105963 106392 106671 106782 107448 109554 109668 110112 110352 113088 115258 116281 116402 118807 118976 119288 119548 120032 120472 122512 122694 123728 125736 126852 126984 127317 130416 130758 131424 134976 137423 137566 138787 141284 141856 142228 142376 142538 143264 146072 146224 146289 147136 149916 150072 151008 151404 154128 155496 156066 162409 163592 164021 165649 167648 168454 169136 169312 169756 170126 172887 173888 174344 174603 178464 178932 179322 180048 180708 183768 184512 185592 193843 195052 195767 199082 199888 200096 200849 201058 201872 205504 206349 207328 208088 211926 212784 213342 213564 213807 214896 219108 219336 220224 220704 230516 231361 232562 232804 237367 237614 238576 239096 239723 240064 240944 245024 245388 247456 251472 252681 253704 253968 254634 255189 260832 261516 262848 274846 275132 277574 282568 283309 283712 284456 284752 285076 286121 286528 292144 292448 292578 298623 299832 300144 301587 302016 302808 308256 310992 312132 324818 327184 328042 331298 335296 336908 338143 338272 338624 339512 340252 345774 348688 348843 349206 356421 356928 357864 358644 360096 361416 367536 371184 387686 388531 390104 391127 391534 398164 399776 400192 401698 402116 403744 412269 412698 414656 416176 416361 423852 425568 426684 427128 427614 429792 438216 438672 441408 461032 462241 462722 465124 465608 466829 474734 475228 477152 478192 479446 481888 487227 490048 490776 492063 494912 496947 502944 505362 507408 507936 509268 510378 521664 523032 549692 550264 551707 555148 565136 566618 568912 569504 570152 572242 581529 584288 584896 585156 587301 597246 599664 600288 602547 603174 605616 616512 621984 624264 633919 649636 654368 656084 662596 673816 675583 676286 676544 679024 680504 691548 694083 697376 697686 698412 712101 712842 715728 717288 719169 720192 722832 735072 742368 756613 775372 777062 780208 782254 783068 796328 799552 803396 804232 806341 807488 824538 825396 832352 832722 847704 849927 851136 853368 854256 855228 858363 859584 876432 877344 922064 924482 925444 926497 930248 931216 933658 949468 950456 954304 956384 958892 963776 974454 981552 984126 993894 1005888 1010724 1014429 1014816 1015872 1018536 1020756 1046064 1094951 1099384 1100528 1103414 1105819 1110296 1130272 1133236 1137824 1139008 1140304 1144484 1163058 1165593 1168576 1170312 1173381 1174602 1194492 1199328 1200576 1205094 1206348 1211232 1243968 1248528 1267838 1299272 1306877 1308736 1312168 1315609 1325192 1347632 1351166 1352572 1358048 1361008 1383096 1386723 1388166 1394752 1395372 1396824 1400487 1424202 1425684 1431456 1434576 1438338 1445664 1470144 1484736 1511653 1513226 1550744 1554124 1560416 1564508 1566136 1592656 1606792 1608464 1612682 1649076 1650792 1655121 1664704 1665444 1695408 1699854 1706736 1708512 1710456 1716726 1752864 1754688 1786499 1804231 1844128 1848964 1850888 1852994 1860496 1862432 1867316 1898936 1900912 1901757 1912768 1917784 1948908 1963104 1968252 1987788 2021448 2026749 2028858 2029632 2037072 2041512 2092128 2132273 2153437 2189902 2198768 2201056 2206828 2209339 2211638 2220592 2260544 2266472 2269839 2275648 2280608 2288968 2326116 2331186 2340624 2346762 2349204 2388984 2398656 2410188 2412696 2419023 2422464 2497056 2535676 2544971 2598544 2611037 2613754 2624336 2631218 2636953 2650384 2695264 2702332 2705144 2716096 2722016 2766192 2773446 2776332 2779491 2790744 2793648 2800974 2848404 2851368 2862912 2869152 2876676 2891328 3023306 3026452 3085771 3101488 3108248 3116399 3120832 3129016 3132272 3147331 3185312 3213584 3216928 3225364 3284853 3298152 3301584 3310242 3317457 3330888 3390816 3399708 3413472 3417024 3420912 3433452 3505728 3572998 3608462 3683017 3688256 3697928 3701776 3705988 3719573 3720992 3724864 3734632 3797872 3801824 3803514 3835568 3897816 3920631 3926208 3936504 3946827 3975576 4042896 4053498 4057716 4074144 4083024 4184256 4264546 4302397 4306874 4379804 4395859 4397536 4402112 4413656 4418678 4423276 4441184 4532944 4534959 4539678 4561216 4577936 4652232 4662372 4681248 4693524 4698408 4777968 4820376 4825392 4838046 4994112 5071352 5084651 5089942 5135119 5197088 5222074 5227508 5248672 5262436 5273906 5300768 5359497 5390528 5404664 5410288 5412693 5444032 5532384 5546892 5552664 5558982 5581488 5587296 5601948 5696808 5702736 5738304 5753352 6009133 6046612 6052904 6068777 6171542 6202976 6216496 6232798 6258032 6264544 6294662 6370624 6396819 6427168 6433856 6450728 6460311 6569706 6596304 6603168 6620484 6628017 6634914 6661776 6781632 6799416 6826944 6841824 6866904 7145996 7172191 7216924 7366034 7395856 7403552 7411976 7431413 7439146 7441984 7469264 7595744 7603648 7607028 7634913 7671136 7795632 7833111 7841262 7873008 7893654 7910859 7951152 8085792 8106996 8115432 8148288 8166048 8529092 8604794 8613748 8759608 8782579 8791718 8795072 8827312 8837356 8846552 8869751 8882368 9065888 9069918 9079356 9155872 9257313 9304464 9324744 9349197 9362496 9387048 9396816 9441993 9555936 9640752 9650784 9676092 10142704 10169302 10179884 10270238 10394176 10444148 10455016 10482433 10497344 10524872 10547812 10601536 10718994 10809328 10820576 10825386 11049051 11064768 11093784 11105328 11117964 11158719 11162976 11174592 11203896 11393616 11405472 11506704 12018266 12044461 12093224 12105808 12137554 12343084 12405952 12432992 12465596 12516064 12529088 12589324 12793638 12854336 12901456 12907191 12920622 13139412 13187577 13192608 13206336 13240968 13256034 13269828 13323552 13598832 13683648 13733808 14291992 14344382 14375647 14433848 14471699 14732068 14791712 14807104 14823952 14862826 14878292 14938528 15191488 15214056 15253953 15269826 15342272 15405357 15591264 15666222 15682524 15746016 15787308 15821718 15902304 16171584 16213992 16230864 16332096 17058184 17102917 17209588 17227496 17519216 17565158 17583436 17654624 17674712 17693104 17739502 18027399 18131776 18139836 18158712 18206331 18311744 18514626 18608928 18649488 18698394 18774096 18793632 18883986 19111872 19281504 19301568 19352184 19651489 20285408 20338604 20359768 20540476 20888296 20910032 20964866 21049744 21095624 21437988 21516573 21618656 21641152 21650772 22098102 22187568 22210656 22235928 22294239 22317438 22325952 22407792 22787232 22810944 23013408 23455003 24036532 24088922 24186448 24211616 24275108 24686168 24865984 24931192 24996571 25032128 25178648 25587276 25802912 25814382 25841244 26278824 26347737 26375154 26385216 26481936 26512068 26539656 26609253 26647104 27197664 27467616 27994681 28583984 28688764 28721407 28751294 28867696 28943398 29464136 29583424 29647904 29725652 29756584 29877056 30428112 30507906 30539652 30810714 31182528 31332444 31365048 31447299 31492032 31574616 31643436 31804608 32427984 32461728 33943481 34116368 34205834 34280389 34419176 34454992 35038432 35130316 35166872 35309248 35349424 35386208 35479004 36054798 36133383 36279672 36317424 36412662 37029252 37217856 37298976 37396788 37548192 37587264 37767972 38563008 38704368 39302978 40513187 40570816 40677208 40719536 40915303 41080952 41776592 41820064 41929732 42099488 42191248 42875976 43033146 43126941 43237312 43301544 43415097 44196204 44375136 44421312 44471856 44588478 44634876 44815584 45574464 46026816 46910006 48073064 48177844 48354449 48372896 48423232 48550216 49372336 49862384 49993142 50357296 51174552 51308751 51605824 51628764 51682488 52557648 52695474 52750308 52963872 53024136 53079312 53218506 54395328 54935232 55931161 55989362 57167968 57377528 57442814 57502588 57735392 57886796 58928272 58954467 59295808 59451304 59513168 60856224 61015812 61079304 61621428 62664888 62730096 62894598 63149232 63286872 64855968 64923456 66100463 66756547 67886962 68232736 68411668 68560778 68838352 68909984 70076864 70260632 70333744 70365009 70698848 70772416 70958008 72109596 72266766 72559344 72634848 72825324 74058504 74597952 74793576 74989713 75096384 75535944 77408736 78605956 78894101 81026374 81354416 81439072 81745543 81830606 82161904 83553184 83640128 83859464 83984043 84198976 84382496 85751952 86066292 86164221 86253882 86603088 86830194 88392408 88750272 88943712 89176956 89269752 89631168 93820012 96146128 96355688 96608369 96708898 96745792 97100432 97567261 98744672 99724768 99986284 100714592 101830443 102349104 102617502 102841167 103257528 103364976 105115296 105390948 105500616 105927744 106048272 106158624 106437012 111862322 111978724 114173527 114335936 114755056 114885628 115005176 115306763 115470784 115773592 117856544 117908934 118902608 119026336 121539561 121712448 122031624 122158608 122745909 123242856 125329776 125460192 125789196 126298464 126573744 129711936 132200926 133513094 135773924 136271629 136465472 136823336 137121556 137676704 137819968 140521264 140667488 140730018 141397696 141916016 144219192 144533532 145063347 145118688 145269696 145650648 148117008 149587152 149979426 151071888 154817472 157211912 157788202 159188689 162052748 162708832 162878144 163491086 163661212 164323808 167106368 167718928 167793483 167968086 168764992 171503904 172132584 172328442 172507764 173206176 173660388 176784816 177887424 178353912 178539504 187640024 188132087 192292256 192711376 193216738 193417796 194200864 195134522 197489344 198301389 199449536 199972568 200269641 201429184 203660886 204698208 205235004 205682334 206515056 206729952 210230592 210781896 211001232 212096544 212317248 212874024 222337921 223724644 223957448 228347054 229510112 229771256 230010352 230613526 231547184 235713088 235817868 236682303 237805216 238052672 243079122 244063248 244317216 245236629 245491818 246485712 250659552 250920384 251578392 252596928 253147488 264401852 267026188 271547848 272543258 273646672 274243112 274962281 275353408 281042528 281334976 281460036 283832032 288438384 289067064 289825107 290126694 290237376 291301296 292701783 296234016 299174304 299958852 302143776 314423824 315576404 318377378 324105496 324955423 325417664 326982172 327322424 328647616 335437856 335586966 335936172 342520581 343007808 344265168 344656884 345015528 345920289 346412352 347320776 353569632 356707824 357079008 373378291 375280048 376264174 384584512 385422752 386433476 386835592 388401728 390269044 396602778 399945136 400539282 407321772 408814887 409396416 410470008 411364668 413030112 413459904 421563792 422002464 424193088 425748048 444675842 445645057 447449288 447914896 456694108 459020224 459542512 460020704 461227052 463094368 471635736 473364606 475610432 477566067 486158244 488126496 488634432 490473258 490983636 492971424 501319104 503156784 506294976 528803704 531898939 534052376 543095696 545086516 547293344 548486224 549924562 562085056 562920072 564396261 567664064 576876768 578134128 579650214 580253388 582602592 585403566 592468032 598348608 599917704 604287552 628847648 631152808 636754756 648210992 649910846 653964344 654644848 667013763 670875712 671173932 671872344 685041162 688530336 689313768 690031056 691840578 694641552 707139264 713415648 714158016 727105093 746756582 750560096 752528348 770845504 772866952 773671184 780538088 793205556 799890272 801078564 814643544 817629774 820940016 822729336 824886843 826060224 843127584 844004928 851496096 867835111 889351684 891290114 894898576 895829792 913388216 919085024 920041408 922454104 926188736 943271472 946729212 955132134 972316488 974866269 976252992 980946516 981967272 985942848 1006313568 1057607408 1062692059 1063797878 1068104752 1086191392 1090173032 1094586688 1096972448 1099849124 1120134873 1125840144 1128792522 1153753536 1156268256 1159300428 1160506776 1165205184 1170807132 1199835408 1255908797 1257695296 1262305616 1268374393 1273509512 1296421984 1299821692 1307928688 1309289696 1334027526 1336935171 1342347864 1343744688 1370082324 1377060672 1378627536 1380062112 1383681156 1389283104 1426831296 1454210186 1493513164 1498987919 1501120192 1505056696 1545733904 1547342368 1561076176 1586411112 1595696817 1599780544 1602157128 1629287088 1635259548 1641880032 1645458672 1649773686 1686255168 1702992192 1735670222 1778703368 1782580228 1789797152 1791659584 1826776432 1838170048 1844908208 1886542944 1893458424 1910264268 1944632976 1949732538 1961893032 1963934544 2012627136 2069452957 2115214816 2125384118 2127595756 2136209504 2172382784 2180346064 2181315279 2193944896 2199698248 2240269746 2251680288 2257585044 2312536512 2318600856 2321013552 2341614264 2399670816 2445717131 2511817594 2524611232 2536748786 2547019024 2592843968 2599643384 2603505333 2615857376 2618579392 2668055052 2673870342 2684695728 2687489376 2740164648 2757255072 2760124224 2767362312 2778566208 2908420372 2987026328 2997975838 3010113392 3024585091 3091467808 3094684736 3122152352 3172822224 3188076177 3191393634 3204314256 3258574176 3270519096 3283760064 3290917344 3299547372 3471340444 3557406736 3565160456 3574509653 3579594304 3653552864 3689816416 3767726391 3773085888 3786916848 3805123179 3820528536 3889265952 3899465076 3923786064 3927869088 4138905914 4224420499 4230429632 4250768236 4255191512 4272419008 4360692128 4362630558 4399396496 4480539492 4496963757 4503360576 4515170088 4637201712 4642027104 4683228528 4799341632 4891434262 5023635188 5049222464 5073497572 5094038048 5199286768 5207010666 5231714752 5336110104 5347740684 5369391456 5374978752 5480329296 5514510144 5534724624 5816840744 5974052656 5995951676 6020226784 6049170182 6182935616 6208358871 6244304704 6345644448 6376152354 6382787268 6408628512 6517148352 6541038192 6581834688 6599094744 6942680888 7114813472 7130320912 7149019306 7307105728 7337151393 7379632832 7535452782 7573833696 7610246358 7641057072 7778531904 7798930152 7847572128 7855738176 8277811828 8448840998 8501536472 8510383024 8721384256 8725261116 8798792992 8961078984 8993927514 9030340176 9073755273 9274403424 9284054208 9366457056 9782868524 10047270376 10146995144 10188076096 10398573536 10414021332 10672220208 10695481368 10723528959 10738782912 10960658592 11069449248 11633681488 11948105312 11991903352 12040453568 12098340364 12416717742 12673261497 12691288896 12752304708 12765574536 12817257024 13082076384 13198189488 13814996767 13885361776 14229626944 14260641824 14298038612 14674302786 15070905564 15147667392 15220492716 15282114144 15597860304 15695144256 16488867109 16555623656 16897681996 17003072944 17020766048 17450522232 17597585984 17922157968 17987855028 18060680352 18147510546 18548806848 18732914112 19565737048 20094540752 20293990288 20797147072 20828042664 21344440416 21390962736 21447057918 21921317184 22138898496 23267362976 23896210624 23983806704 24196680728 24833435484 25346522994 25504609416 25531149072 26164152768 26396378976 26902888441 27629993534 27770723552 28521283648 28596077224 29348605572 30141811128 30440985432 30564228288 31195720608 32977734218 33111247312 33795363992 34006145888 34041532096 34901044464 35844315936 35975710056 36121360704 36295021092 39131474096 39319606183 40189081504 40587980576 41444990301 41656085328 42688880832 42781925472 42894115836 46468625489 46534725952 47967613408 48393361456 49466601327 49666870968 50693045988 51009218832 51062298144 52792757952 53805776882 55259987068 55541447104 57192154448 58697211144 60283622256 60881970864 62391441216 65955468436 66222494624 67590727984 68012291776 69802088928 71688631872 71951420112 72590042184 78262948192 78639212366 80378163008 80708665323 81175961152 82889980602 83312170656 85563850944 85788231672 92937250978 95935226816 96786722912 98933202654 99333741936 101386091976 102018437664 102124596288 107611553764 110519974136 114384308896 117394422288 117958818549 120567244512 121763941728 131910936872 132444989248 135181455968 139405876467 139604177856 143902840224 145180084368 156525896384 157278424732 161417330646 165779961204 166624341312 171576463344 185874501956 193573445824 197866405308 198667483872 202772183952 204036875328 215223107528 221039948272 228768617792 234788844576 235917637098 241134489024 243527883456 263821873744 270362911936 278811752934 287805680448 290360168736 314556849464 322834661292 331559922408 343152926688 371749003912 395732810616 397334967744 405544367904 430446215056 442079896544 469577689152 471835274196 511154880379 527643747488 557623505868 580720337472 629113698928 645669322584 663119844816 686305853376 743498007824 791465621232 811088735808 860892430112 884159793088 943670548392 1022309760758 1055287494976 1115247011736 1258227397856 1291338645168 1326239689632 1486996015648 1533464641137 1582931242464 1721784860224 1887341096784 2044619521516 2230494023472 2516454795712 2582677290336 2652479379264 2973992031296 3066929282274 3165862484928 3774682193568 4089239043032 4460988046944 5165354580672 6133858564548 7549364387136 8178478086064 8921976093888 12267717129096 16356956172128 24535434258192 32713912344256 49070868516384 98141737032768
- Sum of all divisors σ(n): 345493423200240
- Sum of proper divisors (its aliquot sum) s(n): 247351686167472
- 98141737032768 is an abundant number, because the sum of its proper divisors (247351686167472) is greater than itself. Its abundance is 149209949134704
Bases of 98141737032768
- Binary: 101100101000010011001110101111110011100010000002
- Hexadecimal: 0x5942675F9C40
- Base-36: YSDOWA91C
Squares and roots of 98141737032768
- 98141737032768 squared (981417370327682) is 9631800547808985877105741824
- 98141737032768 cubed (981417370327683) is 945281636515140258538230884501909236088832
-
The
square root of 98141737032768 is 9906651.1512603491 -
The
cube root of 98141737032768 is 46126.5790694221
Scales and comparisons
How big is 98141737032768?- 98,141,737,032,768 seconds is equal to 3,120,603 years, 34 weeks, 4 days, 4 hours, 12 minutes, 48 seconds.
-
To count from 1 to 98,141,737,032,768 would take you about seven million, eight hundred 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 98141737032768 cubic inches would be around 3843.9 feet tall.
Recreational maths with 98141737032768
- 98141737032768 backwards is 86723073714189
- 98141737032768 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 98141737032768's digits is 66
- 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 98141737032768 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 98141737032768 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/98141737032768/
Chicago style:
Numbermatics. 2024. "Number 98141737032768 - Facts about the integer". https://numbermatics.com/n/98141737032768/
The information we have on file for 98141737032768 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 98141737032768, math, Factors of 98141737032768, curriculum, school, college, exams, university, Prime factorization of 98141737032768, STEM, science, technology, engineering, physics, economics, calculator, ninety-eight trillion, one hundred forty-one billion, seven hundred thirty-seven million, thirty-two thousand, seven hundred sixty-eight.