869350113549225
869,350,113,549,225 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 869350113549225 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
869350113549225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 869350113549225:
34 × 52 × 72 × 113 × 31 × 592 × 61
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 31 × 59 × 59 × 61)See below for interesting mathematical facts about the number 869350113549225 from the Numbermatics database.
Names of 869350113549225
- Cardinal: 869350113549225 can be written as Eight hundred sixty-nine trillion, three hundred fifty billion, one hundred thirteen million, five hundred forty-nine thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 8.69350113549225 × 1014
Factors of 869350113549225
Divisors of 869350113549225
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 31 33 35 45 49 55 59 61 63 75 77 81 93 99 105 121 135 147 155 165 175 177 183 189 217 225 231 245 275 279 295 297 305 315 341 363 385 405 413 427 441 465 495 525 531 539 549 567 605 649 651 671 675 693 735 775 825 837 847 885 891 915 945 1023 1085 1089 1155 1225 1239 1281 1323 1331 1395 1475 1485 1519 1525 1575 1593 1617 1647 1705 1815 1829 1891 1925 1947 1953 2013 2025 2065 2079 2135 2205 2325 2387 2475 2511 2541 2655 2695 2745 2835 2891 2989 3025 3069 3245 3255 3267 3355 3465 3481 3599 3675 3717 3751 3843 3969 3993 4185 4235 4425 4455 4543 4557 4575 4697 4725 4779 4851 4941 5115 5425 5445 5487 5673 5775 5841 5859 5929 6039 6195 6237 6405 6615 6655 6975 7139 7161 7381 7425 7595 7623 7965 8085 8235 8525 8673 8967 9075 9145 9207 9317 9455 9735 9765 9801 10065 10325 10395 10443 10675 10797 11025 11151 11253 11529 11935 11979 12555 12705 12803 13237 13275 13475 13629 13671 13725 14091 14175 14455 14553 14945 15345 16225 16275 16335 16461 16709 16775 17019 17325 17405 17523 17577 17787 17995 18117 18585 18755 19215 19845 19965 20119 20801 20925 21175 21417 21483 22143 22275 22715 22785 22869 23485 23895 24255 24367 24705 25193 25575 26019 26257 26901 27225 27435 27621 27951 28365 29205 29295 29645 30195 30975 31185 31329 31801 32025 32391 32879 33075 33275 33453 33759 34587 35695 35805 35937 36905 37975 38115 38291 38409 39589 39711 39825 40425 40887 41013 41175 41261 42273 43365 43659 44835 45725 46035 46585 47275 48675 48825 49005 49383 49973 50127 50325 51057 51667 51975 52215 52569 53361 53985 54351 55755 56265 57645 59675 59895 60357 62403 62775 63525 64015 64251 64449 65219 66185 66429 68145 68355 68607 70455 72275 72765 73101 74725 75579 76725 78057 78529 78771 80703 81191 81675 82305 83545 83853 85095 87025 87615 87885 88935 89621 89975 90585 92659 92925 93775 93987 95403 96075 97173 98637 99225 99825 100595 101277 104005 107085 107415 107811 107911 110715 111569 113575 113925 114345 114873 115227 117425 118767 119133 119475 121275 121835 122661 123039 123525 123783 125965 126819 130095 131285 134505 137175 138105 139755 140833 141825 145607 146025 146475 148149 148225 149919 150381 150975 153171 155001 155925 156645 159005 160083 161955 164395 167265 168795 170569 172935 176351 178475 179025 179685 181071 183799 184525 187209 190575 191455 192045 192753 193347 195657 197945 198555 199287 204435 205065 206305 211365 212341 216825 218295 219303 221309 224175 226737 228811 230175 232925 234171 235587 236313 242109 243573 245025 246915 249865 250635 251559 255285 258335 261075 262845 266805 268037 268863 269925 271755 277123 277977 278775 281325 281961 286209 288225 288827 291519 295911 299475 301785 303831 312015 320075 321255 322245 323733 326095 330925 332145 334707 340725 341775 343035 344619 345681 349811 352275 356301 357399 361669 363825 365505 367983 371349 377895 380457 390285 392645 393855 403515 405955 411525 417725 419265 421201 422499 425475 435479 436821 438075 439425 444675 448105 449757 451143 452925 463295 465003 469935 477015 480249 485865 493185 502975 506385 511707 520025 529053 535425 537075 539055 539555 543213 549703 551397 553575 557845 561627 568337 571725 574365 576135 578259 586971 593835 595665 597861 609175 613305 615195 618915 629825 634095 637023 650475 656425 657909 663927 672525 680211 686433 690525 698775 704165 706761 708939 728035 730719 740745 749595 751905 754677 755377 765855 775005 780983 783225 795025 800415 804111 806589 809775 821975 831369 833931 836325 843975 852845 858627 864675 866481 881755 887733 898425 905355 918995 936045 957275 960225 963765 966735 971199 978285 985831 989725 992775 996435 1004121 1019249 1022175 1025325 1031525 1033857 1037043 1049433 1056825 1061705 1068903 1072197 1085007 1091475 1096515 1106545 1114047 1133685 1144055 1170855 1177935 1181565 1187021 1210545 1217865 1227259 1234575 1249325 1253175 1257795 1263603 1267497 1276425 1291675 1306437 1310463 1314225 1334025 1340185 1344315 1349271 1353429 1358775 1385615 1389885 1395009 1409805 1431045 1444135 1457595 1479555 1486387 1508925 1519155 1535121 1549163 1560075 1587159 1601677 1606275 1611225 1618665 1629639 1630475 1649109 1654191 1660725 1673535 1684881 1705011 1715175 1723095 1728405 1749055 1760913 1781505 1786995 1808345 1827525 1839915 1856745 1876259 1889475 1902285 1911069 1939861 1951425 1963225 1969275 1973727 1991781 2017575 2021789 2029775 2040633 2059299 2096325 2106005 2112495 2120283 2126817 2177395 2184105 2192157 2240525 2248785 2255715 2266131 2316475 2325015 2335751 2342949 2349675 2385075 2401245 2412333 2419767 2429325 2434399 2465925 2494107 2501793 2516921 2531925 2558535 2575881 2599443 2645265 2663199 2695275 2697775 2716065 2748515 2756985 2789225 2808135 2841685 2871825 2880675 2891295 2913597 2934855 2948407 2957493 2969175 2978325 2989305 3012363 3048353 3057747 3066525 3075975 3094575 3101571 3148299 3170475 3185115 3206709 3255021 3289545 3319635 3342141 3401055 3432165 3520825 3533805 3544695 3561063 3640175 3653595 3681777 3703725 3747975 3759525 3773385 3776885 3790809 3802491 3829275 3847921 3875025 3904915 3919311 3931389 3978359 4002075 4020555 4032945 4047813 4156845 4169655 4185027 4264225 4293135 4332405 4408775 4438665 4459161 4526775 4594975 4605363 4633211 4647489 4680225 4761477 4790269 4805031 4818825 4833675 4855995 4891425 4929155 4947327 4962573 4982175 5020605 5096245 5115033 5169285 5185215 5247165 5282739 5287639 5308525 5344515 5360985 5425035 5466881 5482575 5532725 5570235 5628777 5668425 5720275 5733207 5819583 5854275 5889675 5907825 5935105 5975343 6052725 6065367 6089325 6136295 6177897 6288975 6318015 6337485 6360849 6532185 6552315 6576471 6582571 6700925 6721575 6746355 6767145 6798393 6928075 6949425 6975045 7007253 7028847 7049025 7155225 7220675 7236999 7259301 7287975 7303197 7397775 7431935 7482321 7505379 7550763 7595775 7675605 7745815 7798329 7935795 8008385 8093325 8148195 8245545 8270955 8309147 8367675 8424405 8525055 8590813 8615475 8642025 8740791 8745275 8804565 8845221 8872479 8907525 8934975 9037089 9041725 9145059 9173241 9199575 9283725 9381295 9444897 9511425 9555345 9699305 9765063 9868635 9958905 10108945 10203165 10296495 10404709 10530025 10562475 10601415 10634085 10683189 10844141 10886975 10920525 10960785 11045331 11211739 11243925 11278575 11330655 11372427 11407473 11543763 11625075 11678755 11714745 11757933 11794167 11935077 12006225 12061665 12098835 12171995 12470535 12508965 12584605 12792675 12879405 12997215 13057231 13226325 13315995 13377483 13499849 13580325 13742575 13784925 13816089 13899633 13942467 14040675 14208425 14284431 14370807 14415093 14456475 14567985 14674275 14742035 14787465 14841981 14887719 14946525 15061815 15241765 15288735 15345099 15507855 15741495 15862917 15925575 16033545 16275105 16350257 16400643 16447725 16598175 16710705 16886331 17005275 17040793 17160825 17199621 17458749 17618447 17669025 17723475 17805315 17926029 18196101 18267975 18408885 18533691 18866925 18884425 18954045 19012455 19239605 19524575 19596555 19656945 19747713 19891795 20102775 20164725 20239065 20395179 20638849 20784225 20848275 20925135 21021759 21086541 21338471 21465675 21662025 21710997 21909591 22193325 22295805 22446963 22652289 23026815 23166055 23237445 23394987 23807385 23951345 24025155 24279975 24645775 24736635 24812865 24927441 25103025 25481225 25575165 25693261 25772439 25846425 25926075 26235825 26413695 26438195 26535663 26617437 26722575 26804925 27125175 27334405 27435177 27519723 27851175 28143885 28334691 28666035 29097915 29295189 29675525 29876715 30326835 30681475 30889485 31214127 31590075 31687425 31804245 32049567 32432477 32532423 32660925 32761575 32882355 32912855 33135993 33531883 33635217 33731775 33835725 33991965 34117281 34631289 34875225 35036265 35144235 35273799 35805231 36184995 36296505 36515985 37159675 37411605 37526895 37753815 38378025 38729075 38991645 39171693 39678975 40041925 40132449 40499547 40740975 41227725 41354775 41545735 41698899 41827401 42122025 42625275 42954065 43112421 43245279 43703955 44022825 44226105 44362395 44525943 45185445 45725295 45866205 46035297 46077997 46906475 47224485 47588751 47776725 48496525 48825315 49050771 49201929 49343175 49794525 50544725 50658993 51015825 51122379 51482475 52023545 52376247 52855341 53007075 53170425 53415945 54220705 54588303 54803925 55226655 56058695 56653275 56862135 57037365 57718815 58164029 58393775 58573725 58789665 58970835 59243139 59675385 60135691 60308325 60494175 60859975 61185537 61916547 62352675 62544825 62923025 63065277 63259623 64015413 64397025 64986075 65286155 65728773 66579975 66887415 67499245 67956867 69080445 69498165 69712335 71422155 71854035 72075465 72408281 72839925 73710175 73937325 74209905 74438595 74782323 75309075 76208825 76443675 76725495 77079783 77317317 77539275 78707475 79314585 79606989 79852311 80167725 81375525 81751285 82003215 82305531 82559169 83553525 84431655 85203965 85998105 87293745 88092235 89026575 89630145 90980505 91400617 92044425 92668455 93642381 94498943 94770225 95062275 96148701 96198025 97297431 97597269 97982775 98284725 98738565 99407979 99458975 100595649 100905651 101195325 101975895 103194245 103893867 104625675 105108795 105432705 106692355 107415693 108554985 109547955 111479025 112234815 113261445 114451799 115134075 115830275 116187225 116974935 117515079 119036925 119285551 119756725 120125775 120397347 121498641 123329129 123683175 124064325 124637205 125096697 125482203 127875825 128466305 128862195 129337263 129735837 132068475 132190975 132678315 133087185 136672025 137175885 137598615 138233991 140719425 141673455 142766253 143330175 143629541 145489575 146475945 147152313 147605787 148498339 149383575 151634175 151976979 153367137 154447425 156070635 157128741 158566023 159021225 160247835 162162385 162662115 163764909 164411775 164564275 165679965 167659415 168176085 169959825 170586405 173156445 174492087 175181325 175721175 176368995 177729417 179026155 179852827 180407073 180924975 181482525 182579925 185749641 187058025 187634475 188769075 189195831 192046239 194958225 195858465 197186319 200662245 202497735 203870601 207728675 208494495 209137005 214770325 215562105 216226395 217224843 218519775 221130525 221811975 222629715 224346969 225927225 227027339 228626475 229331025 230176485 230389985 231239349 231951951 234723181 236122425 237943755 238820967 244126575 245253855 246009645 246916593 253294965 255611895 260117725 261881235 264276705 267079725 271103525 272941515 274201851 276133275 280293475 280927143 282625871 283496829 284310675 285186825 288594075 290820145 291892293 292791807 293948325 294854175 296215695 298376925 300678455 301786947 302716953 305927685 309582735 311681601 315326385 316298115 320077065 322247079 322545979 326430775 328643865 334437075 337496225 339784335 343355397 345402225 347490825 348561675 352545237 357110775 357856653 359270175 360377325 362041405 364495923 369987387 371049525 372192975 373911615 375290091 383627475 385398915 386586585 388011789 396572925 398034945 399261555 408756425 410016075 411527655 412795845 414701973 422158275 426019825 428298759 429990525 430888623 436468725 440461175 441456939 442817361 445495017 448150725 454902525 457003085 460101411 463342275 468211905 472494715 475698069 480743505 486487155 487986345 493692825 497039895 502978245 504528255 506857967 509879475 515971225 519469335 523476261 525543975 527163525 533188251 533461775 537078465 539558481 541221219 542774925 547739775 557248923 561174075 566307225 572258995 576138717 584874675 587575395 596427755 601986735 607493205 616645645 623186025 625483485 627411015 639804319 642331525 644310975 646686315 648679185 651674529 661492601 663391575 665435925 673040907 681082017 685879425 687993075 691169955 693718047 695855853 704169543 708367275 713831265 718147705 732379725 735761565 738028935 742491695 759884895 766835685 780353175 785643705 792830115 796491091 801239175 810811925 813310575 818824545 822605553 828399825 838297075 840880425 842781429 847877613 850490487 852932025 865782225 872460435 875676879 878375421 881844975 888647085 895130775 899264135 902035365 905360841 908150859 928748205 945979155 960231195 967637937 979292325 985931595 1003311225 1005406787 1012488675 1019353005 1030066191 1039488373 1042472475 1045685025 1057635711 1073569959 1077810525 1081131975 1086124215 1093487769 1109962161 1113148575 1121734845 1135136695 1150882425 1151949925 1156196745 1159759755 1173615905 1189718775 1194104835 1226269275 1230048225 1234582965 1244105919 1258969789 1266474825 1278059475 1292665869 1309406175 1321383525 1324370817 1336485051 1364707575 1371009255 1380304233 1404635715 1413129355 1417484145 1427094207 1454100725 1459461465 1463959035 1481078475 1503392275 1508934735 1513584765 1520573901 1529638425 1547913675 1558408005 1570428783 1576631925 1581490575 1600385325 1611235395 1612729895 1618675443 1623663657 1643219325 1671746769 1698921675 1716776985 1728416151 1762726185 1789283265 1810207025 1822479615 1849936935 1869558075 1876450455 1919412957 1926994575 1932932925 1940058945 1955023587 1978381097 1984477803 1990174725 1996307775 2043246051 2057638275 2063979225 2073509865 2081154141 2112508629 2141493795 2154443115 2207284695 2214086805 2227475085 2285015425 2300507055 2341059525 2362473575 2378490345 2389473273 2403717525 2432435775 2439931725 2467816659 2485199475 2514891225 2522641275 2534289835 2543632839 2551471461 2597346675 2617381305 2627030637 2665941255 2685392325 2697792405 2706106095 2716082523 2786244615 2861294975 2880693585 2902913811 2937876975 2982138775 3009933675 3016220361 3037466025 3083228225 3090198573 3118465119 3127417425 3137055075 3199021595 3220709877 3233431575 3243395925 3258372645 3307463005 3329886483 3365204535 3405410085 3455849775 3468590235 3479279265 3520847715 3548005769 3569156325 3590738525 3678807825 3690144675 3712458475 3732317757 3776909367 3799424475 3834178425 3877997607 3928218525 3964150575 3982455455 4009455153 4094122725 4113027765 4213907145 4239388065 4252452435 4362302175 4378384395 4391877105 4443235425 4496320675 4510176825 4526804205 4540754295 4561721703 4643741025 4711286349 4729895775 4801155975 4838189685 4856026329 4870990971 4929657975 5027033935 5096765025 5150330955 5197441865 5288178555 5367849795 5430621075 5467438845 5549810805 5575437637 5608674225 5675683475 5758238871 5780983725 5798798775 5865070761 5868079525 5935143291 5953433409 5970524175 6129738153 6172914825 6220529595 6294848945 6337525887 6463329345 6621854085 6682425255 6855046275 6901521165 7023178575 7037847509 7065646775 7087420725 7135471035 7168419819 7276418611 7297307325 7319795175 7403449977 7544673675 7567923825 7602869505 7630898517 7654414383 7792040025 7852143915 8056176975 8063649475 8093377215 8118318285 8358733845 8583884925 8642080755 8708741433 8761402001 8813630925 8946416325 9048661083 9112398075 9249684675 9270595719 9355395357 9382252275 9597064785 9662129631 9700294725 9775117935 9891905485 9922389015 9989659449 10216230255 10367549325 10405770705 10562543145 10644017307 10707468975 10772215575 11036423475 11070434025 11137375425 11330728101 11502535275 11633992821 11892451725 11947366365 12028365459 12339083295 12671449175 12718164195 12757357305 13086906525 13135153185 13329706275 13488962025 13530530475 13580412615 13685165109 13848667679 13931223075 14403467925 14514569055 14568078987 15081101805 15450992865 15592325595 15995107975 16103549385 16291863225 16537315025 16649432415 16726312911 16826022675 17027050425 17274716613 17342951175 17396396325 17604238575 17740028845 17805429873 17860300227 18389214459 18661588785 18884546835 19012577661 19389988035 19912277275 20047275765 20565138825 21069535725 21113542527 21196940325 21262262175 21505259457 21829255833 21891921975 21959385525 22634021025 22703771475 22808608515 22892695551 23556431745 24190948425 24280131645 24354954855 25135169675 25751654775 25987209325 26126224299 26284206003 26440892775 26839248975 27145983249 27337194225 27749054025 27877188185 28066186071 28791194355 29325353805 29675716455 29767167045 30648690765 31102647975 31474244725 31687629435 31932051921 32316646725 33109270425 33412126275 33992184303 34507605825 35189237545 35677355175 35842099095 36382093055 37017249885 38014347525 38154492585 38272071915 39028063459 39260719575 40466886075 40591591425 41055495327 41546003037 41793669225 43210403775 43543707165 43807010005 45243305415 46352978595 46776976785 47985323925 48310648155 48875589675 49459527425 49611945075 49948297245 50178938733 51081151275 51824149839 52028853525 52812715725 53220086535 53416289619 53580900681 56653640505 58169964105 59736831825 60141827295 61329814007 61695416475 63340627581 63590820975 63786786525 64515778371 65487767499 65675765925 67902063075 68425825545 69243338395 72572845275 72840394935 75405509025 77254964325 77961627975 78852618009 80517746925 81437949747 83247162075 83631564555 84198558213 86373583065 88700144225 89027149365 89301501135 91946072295 93307943925 94422734175 95062888305 95796155763 96949940175 100236378825 101976552909 105567712635 107526297285 109146279165 114043042575 114463477755 117084190377 117782158725 121400658225 121774774275 124638009111 130631121495 131421030015 135729916245 139385940925 140330930355 143955971775 146626769025 148378582275 148835835225 150536816199 153243453825 158438147175 159660259605 160248868857 169960921515 175946187725 179210495475 181910465275 183989442021 185086249425 190021882743 190772462925 191360359575 195140317295 196463302497 205277476635 207730015185 217718535825 219035050025 226216527075 231764892975 233884883925 236557854027 241553240775 249741486225 250894693665 259120749195 266100432675 267081448095 267904503405 283268202525 287388467289 290849820525 300709136475 306649070035 316703137905 322578891855 327438837495 342129127725 346216691975 351252571131 364201974675 373914027333 394263090045 407189748735 418157822775 420992791065 429308698049 431867915325 445135746825 446507505675 451610448597 459730361475 475314441525 478980778815 509882764545 527838563175 537631486425 545731395825 551968326063 570065648229 572317388775 585420951885 589389907491 623190045555 653155607475 657105150075 678649581225 701654651775 709673562081 752684080995 798301298025 801244344285 849804607575 919947210105 950109413715 975701586475 982316512485 1026387383175 1038650075925 1053757713393 1121742081999 1182789270135 1254473468325 1287926094147 1295603745975 1335407240475 1339522517025 1436942336445 1533245350175 1583515689525 1612894459275 1637194187475 1655904978189 1756262855655 1869570136665 1971315450225 2035948743675 2104963955325 2146543490245 2258052242985 2394903894075 2549413822725 2759841630315 2850328241145 2927104759425 2946949537455 3115950227775 3161273140179 3548367810405 3763420404975 3863778282441 4006221721425 4599736050525 4750547068575 4911582562425 4967714934567 5268788566965 5608710409995 5913946350675 6439630470735 7184711682225 8279524890945 8781314278275 9347850683325 10732717451225 11290261214925 11591334847323 13799208151575 14251641205725 14734747687275 15806365700895 17741839052025 19318891412205 24838574672835 26343942834825 28043552049975 32198152353675 34774004541969 41397624454725 57956674236615 79031828504475 96594457061025 124192873364175 173870022709845 289783371183075 869350113549225
- Sum of all divisors σ(n): 2199027148826112
- Sum of proper divisors (its aliquot sum) s(n): 1329677035276887
- 869350113549225 is an abundant number, because the sum of its proper divisors (1329677035276887) is greater than itself. Its abundance is 460326921727662
Bases of 869350113549225
- Binary: 110001011010101011010110001011010000011011101010012
- Hexadecimal: 0x316AB58B41BA9
- Base-36: 8K5PXFNHK9
Squares and roots of 869350113549225
- 869350113549225 squared (8693501135492252) is 755769619928050400926498100625
- 869350113549225 cubed (8693501135492253) is 657028404901505237420129909921485039940765625
-
The
square root of 869350113549225 is 29484743.7423021367 -
The
cube root of 869350113549225 is 95440.2507594133
Scales and comparisons
How big is 869350113549225?- 869,350,113,549,225 seconds is equal to 27,642,644 years, 27 weeks, 5 days, 12 hours, 33 minutes, 45 seconds.
-
To count from 1 to 869,350,113,549,225 would take you about sixty-nine million, one hundred six thousand, six hundred eleven 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 869350113549225 cubic inches would be around 7953.4 feet tall.
Recreational maths with 869350113549225
- 869350113549225 backwards is 522945311053968
- 869350113549225 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 869350113549225's digits is 63
- 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 869350113549225 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 869350113549225 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/869350113549225/
Chicago style:
Numbermatics. 2024. "Number 869350113549225 - Facts about the integer". https://numbermatics.com/n/869350113549225/
The information we have on file for 869350113549225 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 869350113549225, math, Factors of 869350113549225, curriculum, school, college, exams, university, Prime factorization of 869350113549225, STEM, science, technology, engineering, physics, economics, calculator, eight hundred sixty-nine trillion, three hundred fifty billion, one hundred thirteen million, five hundred forty-nine thousand, two hundred twenty-five.