40539262636075203
40,539,262,636,075,203 is an odd composite number composed of seven prime numbers multiplied together.
40539262636075203 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 40539262636075203:
36 × 73 × 11 × 132 × 312 × 151 × 601
(3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 13 × 13 × 31 × 31 × 151 × 601)See below for interesting mathematical facts about the number 40539262636075203 from the Numbermatics database.
Names of 40539262636075203
- Cardinal: 40539262636075203 can be written as Forty quadrillion, five hundred thirty-nine trillion, two hundred sixty-two billion, six hundred thirty-six million, seventy-five thousand, two hundred three.
Scientific notation
- Scientific notation: 4.0539262636075203 × 1016
Factors of 40539262636075203
Divisors of 40539262636075203
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 3 7 9 11 13 21 27 31 33 39 49 63 77 81 91 93 99 117 143 147 151 169 189 217 231 243 273 279 297 341 343 351 403 429 441 453 507 539 567 601 637 651 693 729 819 837 891 961 1001 1023 1029 1053 1057 1183 1209 1287 1323 1359 1519 1521 1617 1661 1701 1803 1859 1911 1953 1963 2079 2387 2457 2511 2673 2821 2883 3003 3069 3087 3159 3171 3549 3627 3773 3861 3969 4077 4207 4433 4459 4557 4563 4681 4851 4983 5103 5239 5409 5577 5733 5859 5889 6237 6611 6727 7007 7161 7371 7399 7533 7813 8019 8281 8463 8649 9009 9207 9261 9477 9513 10571 10633 10647 10881 11319 11583 11627 11907 12231 12493 12621 13013 13299 13377 13671 13689 13741 14043 14553 14949 15717 16227 16709 16731 17199 17577 17667 18631 18711 19747 19833 20181 21021 21483 21593 22113 22197 22599 23439 24843 25389 25519 25947 27027 27621 27783 28539 29449 31031 31713 31899 31941 32643 32767 33957 34749 34881 35721 36673 36693 37479 37863 39039 39897 40131 41013 41067 41223 42129 43659 44847 46277 47089 47151 48681 49049 50127 50193 51491 51597 51793 52731 53001 54691 55893 56133 57629 57967 59241 59499 60543 60853 63063 64449 64779 66339 66591 70317 73997 74529 76167 76557 77841 81081 81389 82863 83349 85617 85943 87451 88347 90751 91091 93093 95139 95697 95823 96187 97929 98301 101569 101871 104247 104643 110019 110079 112437 113589 116963 117117 119691 120393 123039 123201 123669 126387 130417 130977 134541 137423 138229 138831 141267 141453 145111 146043 147147 150381 150579 151151 154473 154791 155379 158193 159003 162409 164073 167679 172887 173901 177723 178497 178633 181629 182559 189189 193347 194337 199773 204941 206143 210951 217217 221991 223587 228501 229369 229671 233523 242203 243243 244167 248589 250047 256711 256851 257829 262353 265041 272253 273273 279279 280709 285417 287091 287469 288561 293787 294903 304707 305613 313929 323939 329623 330057 337311 340767 350889 351351 359073 360437 361179 369117 371007 379161 382837 391251 392931 403403 403623 412269 414687 416493 423801 424359 425971 435333 438129 441441 451143 451737 453453 463419 464373 466137 477009 487227 492219 503037 517979 518661 521703 533169 535491 535899 544887 547677 567567 569723 577561 580041 583011 599319 601601 612157 614823 618429 632853 635257 637637 651651 665973 669383 670761 673309 685503 688107 689013 700569 710983 726609 729729 732501 770133 770553 773487 787059 791089 795123 816759 819819 837837 842127 856251 861273 862407 865683 884709 912919 914121 916839 941787 961961 971817 988869 990171 998261 1011933 1015777 1022301 1052667 1054053 1058057 1077219 1081311 1083537 1107351 1113021 1117259 1136863 1137483 1148511 1173753 1179763 1210209 1210869 1236807 1244061 1249479 1250431 1271403 1273077 1277913 1305999 1324323 1353429 1355211 1360359 1390257 1398411 1431027 1434587 1461681 1476657 1509111 1520519 1553937 1555983 1565109 1596221 1599507 1605583 1606473 1607697 1634661 1643031 1695421 1702701 1709169 1732683 1740123 1749033 1786499 1796977 1797957 1804803 1836471 1844469 1855287 1886443 1898559 1905771 1912911 1954953 1964963 1997919 2008149 2012283 2019927 2056509 2064321 2067039 2132949 2179827 2197503 2267573 2310399 2320461 2361177 2373267 2385369 2450277 2459457 2513511 2523059 2526381 2568753 2583819 2597049 2654127 2664233 2679859 2738757 2742363 2750517 2813281 2823821 2825361 2885883 2915451 2966607 2970513 2981797 2994783 3035799 3047331 3066903 3148639 3158001 3162159 3174171 3231657 3243933 3250611 3339063 3351777 3410589 3412449 3445533 3521259 3539289 3625853 3630627 3710421 3732183 3748437 3751293 3814209 3819231 3833739 3917997 3972969 4042927 4060287 4081077 4170771 4195233 4211207 4285099 4303761 4385043 4429971 4446799 4527333 4561557 4661811 4667949 4685681 4695327 4788663 4798521 4816749 4819419 4823091 4903983 4929093 4976881 5086263 5108103 5127507 5198049 5247099 5359497 5390931 5393871 5414409 5509413 5533407 5537623 5565861 5659329 5695677 5717313 5738733 5864859 5894889 5993757 6024447 6036849 6059781 6192963 6201117 6353171 6390433 6398847 6539481 6592509 6733727 6802719 6931197 6961383 6987827 7083531 7110439 7119801 7156107 7350831 7378371 7406399 7508293 7540533 7569177 7579143 7706259 7751457 7791147 7820813 7958041 7962381 7992699 8039577 8216271 8227089 8258341 8439843 8471463 8476083 8657649 8701979 8746353 8753017 8899821 8911539 8945391 8984349 9107397 9141993 9445917 9474003 9486477 9522513 9731799 10017189 10042109 10055331 10231767 10336599 10563777 10617867 10877559 10891881 11131263 11173547 11196549 11245311 11253879 11442627 11501217 11753991 11867947 11918907 12128781 12180861 12243231 12505493 12512313 12585699 12633621 12855297 12911283 12977393 13155129 13205101 13289913 13340397 13581999 13684671 13754741 13985433 14003847 14057043 14085981 14365989 14395563 14450247 14469273 14787279 14930643 15258789 15336919 15382521 15594147 15741297 16078491 16172793 16243227 16528239 16600221 16612869 16697583 16977987 17151939 17216199 17594577 17661413 17684667 17981271 18073341 18179343 18578889 18603351 18649631 19059513 19171299 19196541 19618443 19692967 19766747 19777527 20201181 20408157 20750873 20793591 20872579 20884149 20963481 21250593 21331317 21359403 21468321 22040473 22052493 22135113 22219197 22524879 22621599 22707531 22737429 23373441 23462439 23874123 23887143 23978097 24118731 24523759 24648813 24681267 24775023 25319529 25414389 25972947 26105937 26239059 26259051 26699463 26734617 26836173 26953047 27425979 28300489 28337751 28422009 28567539 29195397 29478449 30126327 30165993 30695301 30946091 31009797 31127593 31691331 31853601 32632677 32675643 32799767 33393789 33520641 33589647 33735933 33761637 34327881 34503651 34635029 34838167 35261973 35603841 35756721 36386343 36572653 36729693 37516479 37536939 37757097 37900863 38565891 38733849 38763361 38932179 39465387 39615303 39869739 40021191 41054013 41264223 41956299 42011541 42171129 42257943 43097967 43350741 43407819 44361837 44472197 44791929 45776367 46010757 46147563 46782441 47136089 48235473 48518379 48729681 48914789 49584717 49773073 49800663 49838607 50092749 50933961 51455817 51648597 52558051 52783731 52984239 53054001 53943813 54220023 54538029 54745691 55706287 55736667 55948893 57178539 57513897 57589623 57808387 58855329 59078901 59300241 59332581 60603543 60913853 61224471 62252619 62380773 62617737 62652447 62890443 63751779 63993951 64078209 66121419 66157479 66405339 66657591 67574637 68122593 68212287 70120323 70294763 70387317 71622369 71934291 72356193 73571277 73946439 74043801 74325069 75958587 76243167 77918841 78214829 78317811 78717177 78777153 80098389 80508519 80859141 82277937 82591223 83075629 84901467 85013253 85266027 85702617 87211711 87538451 87586191 88435347 90378981 90497979 90841751 92085903 92435707 92838273 93029391 93382779 95073993 95560803 96283187 97607809 97898031 98026929 98399301 100181367 100561923 100768941 101284911 103510953 103905087 104514501 105785919 106811523 107358433 109159029 109717959 110189079 112549437 113702589 115697673 116201547 116290083 116796537 118396161 118845909 120063573 123162039 123792669 125868897 126513387 129293901 130052223 130223457 130547417 133416591 134375787 137329101 137850769 138032271 138442689 140347323 141408267 144706419 145256111 145555137 146189043 146744367 148754151 149319219 149401989 149515821 150278247 152801883 154283311 154367451 154945791 157674153 158351193 158952717 159162003 162660069 163614087 164237073 167118861 167210001 167846679 168706109 171535617 171666313 172541691 172768869 173425161 176565987 177236703 177900723 181810629 182741559 183673413 186757857 187142319 187853211 188671329 191981853 192234627 198103423 198364257 199972773 202723911 204367779 204636861 210884289 211161951 214867107 215802873 216622637 217068579 220713831 221839317 222975207 227875761 228729501 229598369 233756523 234644487 234953433 236151531 236331459 240295167 241525557 242445203 242577423 246833811 247773669 249226887 254704401 255039759 256008571 257107851 261635133 262615353 262758573 265306041 269761349 271136943 271343527 271493937 272525253 276257709 277307121 278514819 279088173 280148337 286682409 288849561 292823427 293694093 294080787 295197903 301685769 303854733 310532859 311305379 311715261 313543503 320434569 322075299 327477087 329153877 337648311 341107767 342403523 347093019 348604641 348870249 350389611 356537727 360190719 367906357 369486117 371378007 377606691 379540161 383219837 387881703 390156669 391642251 400249773 402299183 403127361 404658709 411987303 413552307 414096813 415328067 421041969 424224801 426396971 434119257 435768333 436665411 438567129 440233101 446262453 447957657 448547463 458405649 462849933 463102353 464837373 473022459 475444489 476858151 477486009 487980207 490842261 492711219 501356583 503540037 506118327 514606851 514998939 517625073 518306607 520275483 531710109 533702169 545431887 547503803 548224677 551020239 560273571 563559633 566013987 575945559 576703881 578138561 594310269 595092771 599918319 608171733 610481977 612769157 613103337 632652867 633485853 635892257 644601321 647049949 647408619 649867911 651205737 662141493 665517951 668925621 683254663 683627283 686188503 688795107 701269569 703933461 704860299 708994377 724576671 727335609 727732269 740501433 743321007 747680661 751509031 764113203 765119277 768025713 771323553 784905399 787846059 795918123 809284047 813410829 814030581 814481811 817575759 828773127 831921363 835544457 840445011 860047227 866548683 878470281 881082279 885593709 905057307 911564199 913831919 933916137 935145783 940630509 959328821 961303707 964955383 966225897 982431261 987461631 1012944933 1016792777 1023323301 1027210569 1041279057 1045813923 1046610747 1051168833 1069613181 1073685899 1079983177 1080572157 1103719071 1108458351 1114134021 1133752243 1138620483 1149659511 1163645109 1170470007 1174926753 1180942763 1200749319 1201664191 1206897549 1209382083 1213976127 1235961909 1240656921 1242290439 1272674403 1279190913 1302357771 1307304999 1309996233 1320699303 1343872971 1345642389 1375216947 1388549799 1419067377 1426333467 1430574453 1432458027 1478133657 1504069749 1510620111 1516358459 1518354981 1543820553 1544996817 1552875219 1560826449 1595130327 1601106507 1636295661 1642511409 1644674031 1653060717 1680820713 1690678899 1697116421 1698041961 1727836677 1734415683 1782930807 1785278313 1792059997 1799754957 1824515199 1831445931 1838307471 1839310011 1888329443 1897958601 1900457559 1907676771 1933803963 1941149847 1942225857 1949603733 1953617211 1986424479 2006776863 2049763989 2050881849 2058565509 2066385321 2111800383 2114580897 2126983131 2173730013 2179137653 2182006827 2229963021 2243041983 2254527093 2292339609 2295357831 2304077139 2354716197 2363538177 2387754369 2427852141 2440232487 2442091743 2452727277 2495764089 2506633371 2521335033 2575344499 2599646049 2635410843 2643246837 2656781127 2715171921 2741495757 2801748411 2805437349 2816094281 2821891527 2877986463 2883911121 2894866149 2898677691 2947293783 2962384893 2984778797 3038834799 3050378331 3069969903 3081631707 3123837171 3139832241 3153506499 3208839543 3221057697 3239949531 3241716471 3311157213 3328111423 3342402063 3401256729 3415861449 3448978533 3524780259 3542828289 3602247957 3604992573 3620692647 3628146249 3641928381 3721970763 3726871317 3818023209 3837572739 3921914997 3962097909 4031618913 4036927167 4046969927 4165649397 4257202131 4273373839 4279000401 4291723359 4434400971 4451245799 4512209247 4531860333 4549075377 4555064943 4631461659 4634990451 4658625657 4682479347 4782782641 4785390981 4803319521 4908886983 4927534227 4934022093 5042462139 5072036697 5091349263 5094125883 5183510031 5203247049 5229889379 5260563217 5348792421 5355834939 5376179991 5399264871 5473545597 5494337793 5514922413 5664988329 5693875803 5701372677 5723030313 5801411889 5823449541 5848811199 5959273437 6020330589 6149291967 6199155963 6335401149 6343742691 6380949393 6537412959 6546020481 6689889063 6715301747 6729125949 6763581279 6877018827 6912231417 7064148591 7090614531 7117549439 7163263107 7283556423 7320697461 7326275229 7358181831 7487292267 7515801293 7519900113 7564005099 7726033497 7798938147 7906232529 7936265701 7970343381 8145515763 8224487271 8266599341 8405245233 8411649337 8416312047 8448282843 8465674581 8633959389 8651733363 8684598447 8696033073 8887154679 8954336391 9116504397 9151134993 9244895121 9419496723 9460519497 9626518629 9663173091 9719848593 9933471639 9984334269 10027206189 10203770187 10346935599 10574340777 10614509213 10628484867 10806743871 10814977719 10862077941 10925785143 11165912289 11180613951 11454069627 11512718217 11765744991 11879814947 11886293727 12094856739 12140909781 12471274673 12496948191 12544419979 12771606393 12820121517 12837001203 12875170077 13218306101 13303202913 13353737397 13536627741 13595580999 13647226131 13665194829 13904971353 14047438041 14348347923 14356172943 14409958563 14738779159 14782602681 14802066279 15127386417 15216110091 15274047789 15609741147 15689668137 15781689651 16046377263 16067504817 16128539973 16483013379 16544767239 16994964987 17081627409 17169090939 17470348623 17546433597 17877820311 18447875901 18597467889 19006203447 19612238877 19638061443 19712659967 20069667189 20145905241 20187377847 20290743837 20631056481 20736694251 21192445773 21271843593 21352648317 21489789321 21850669269 21978825687 22074545493 22461876801 22547403879 22559700339 22692015297 23178100491 23296779961 23396814441 23718697587 23808797103 23911030143 24673461813 24799798023 25215735699 25234948011 25248936141 25344848529 25397023743 25901878167 26053795341 26088099219 26661464037 26863009173 27453404979 27734685363 28258490169 28328789489 28989519273 29159545779 29800414917 29913616873 29953002807 30611310561 31040806797 31723022331 31843527639 31885454601 32420231613 32444933157 32586233823 32777355429 33479478487 33497736867 34362208881 34538154651 35297234973 35639444841 35658881181 36284570217 36422729343 36609225653 37413824019 37490844573 37633259937 38314819179 38460364551 38511003609 39654918303 39909608739 40061212191 40609883223 40941678393 40995584487 41714914059 42142314123 43045043769 44216337477 44347808043 44406198837 45822143367 46829223441 47007112229 47069004411 47345068953 48139131789 48385619919 49449040137 49634301717 50984894961 51244882227 51507272817 52411045869 52610609051 52639300791 55343627703 55553859907 55792403667 57018610341 57866195387 58836716631 58914184329 59137979901 60209001567 60437715723 60562133541 60872231511 62210082753 63577337319 63815530779 64057944951 65552007807 65936477061 66223636479 67385630403 67642211637 69534301473 69890339883 70190443323 71156092761 71426391309 74020385439 74399394069 75647207097 75704844033 76034545587 77705634501 78161386023 78264297657 80589027519 82360214937 83204056089 84986368467 86968557819 87298922711 87478637337 89401244751 89740850619 89859008421 91833931683 92528142707 93122420391 95169066993 95530582917 95656363803 97334799471 97758701469 98332066287 100438435461 100493210601 103171454113 103614463953 105891704919 106918334523 109268188029 109827676959 112241472057 112472533719 112899779811 115381093653 115533010827 118964754909 120183636573 122825035179 122986753461 125144742177 129135131307 132649012431 133043424129 137466430101 137988619769 140487670323 141021336687 141207013233 142035206859 144417395367 145156859757 148347120411 148902905151 152954684883 154521818451 157233137607 157831827153 157917902373 162126570749 163077459727 166030883109 166661579721 167377211001 173598586161 176510149893 176742552987 177413939703 181313147169 182616694533 186630248259 192173834853 196656023421 197809431183 202926634911 208602904419 209671019649 214279173927 222061156317 223198182207 226941621291 227114532099 228103636761 233116903503 234484158069 241767082557 247080644811 249612168267 254959105401 256264579571 260905673457 261896768133 262435912011 268203734253 269222551857 269577025263 275501795049 277584428121 279367261173 286591748751 286969091409 292004398413 293276104407 294996198861 301315306383 309514362339 310843391859 320755003569 327804564087 329049785603 329483030877 336724416171 338699339433 346143280959 346599032481 356894264727 360550909719 368274263357 368475105537 387405393921 388877019349 397947037293 399130272387 412399290303 413965859307 421463010969 423064010061 423621039699 426105620577 435470579271 445041361233 446708715453 458864054649 463565455353 471699412821 473495481459 486379712247 489232379181 498092649327 499984739163 520795758483 529530449679 532241819109 543939441507 547850083599 576521504559 608779904733 611092458977 625808713257 629013058947 642837521781 666183468951 669594546621 681343596297 684310910283 699350710509 703452474207 722200178791 725301247671 741241934433 764877316203 768793738713 782717020371 785690304399 787307736033 807667655571 808731075789 826505385147 832753284363 859775246253 860907274227 876013195239 903945919149 928543087017 962265010707 983413692261 987149356809 988449092631 1010173248513 1016098018299 1038429842877 1070682794181 1081652729157 1104822790071 1105425316611 1134885995243 1162216181763 1166631058047 1193841111879 1237197870909 1241897577921 1269192030183 1270863119097 1278316861731 1306411737813 1376592163947 1420486444377 1459139136741 1467697137543 1499954217489 1562387275449 1588591349037 1596725457327 1631818324521 1729564513677 1793852056997 1826339714199 1833277376931 1877426139771 1887039176841 1928512565343 2008783639863 2044030788891 2052932730849 2166600536373 2175903743013 2294631948609 2306381216139 2357070913197 2423002966713 2426193227367 2498259853089 2579325738759 2711837757447 2785629261051 2886795032121 2950241076783 2961448070427 2965347277893 3030519745539 3048294054897 3115289528631 3212048382543 3244958187471 3314468370213 3404657985729 3486648545289 3499893174141 3581523335637 3725692733763 3807576090549 3812589357291 3834950585193 4261459333131 4277647212839 4377417410223 4403091412629 4499862652467 4687161826347 4790176371981 4895454973563 5055401251537 5188693541031 5381556170991 5479019142597 5499832130793 5661117530523 5785537696029 6026350919589 6132092366673 6499801609119 6883895845827 6919143648417 7071212739591 7269008900139 7494779559267 7737977216277 7944201966701 8135513272341 8356887783153 8660385096363 8884344211281 8896041833679 9091559236617 9144882164691 9636145147629 9943405110639 10213973957187 10499679522423 10744570006911 11177078201289 11422728271647 12784377999393 12832941638517 13132252230669 13209274237887 13499587957401 14061485479041 14370529115943 15166203754611 16144668512973 16499496392379 16983352591569 19499404827357 20651687537481 20757430945251 21213638218773 21807026700417 22484338677801 23832605900103 24406539817023 25070663349459 26653032633843 26688125501037 29830215331917 30641921871561 31499038567269 33531234603867 34268184814941 38353133998179 38498824915551 39396756692007 39627822713661 40498763872203 42184456437123 45498611263833 48434005538919 49498489177137 55609413766907 58498214482071 62272292835753 63640914656319 67453016033403 71497817700309 75211990048377 79959097901529 89490645995751 91925765614683 94497115701807 100593703811601 115496474746653 118190270076021 118883468140983 136495833791499 145302016616757 148495467531411 166828241300721 175494643446213 186816878507259 214493453100927 239877293704587 268471937987253 275777296844049 283491347105421 346489424239959 409487501374497 435906049850271 445486402594233 500484723902163 526483930338639 643480359302781 827331890532147 1039468272719877 1228462504123491 1307718149550813 1501454171706489 1930441077908343 3118404818159631 3685387512370473 4504362515119467 5791323233725029 13513087545358401 40539262636075203
- Sum of all divisors σ(n): 87237219868646400
- Sum of proper divisors (its aliquot sum) s(n): 46697957232571197
- 40539262636075203 is an abundant number, because the sum of its proper divisors (46697957232571197) is greater than itself. Its abundance is 6158694596495994
Bases of 40539262636075203
- Binary: 100100000000011000111110100111001110000100101000110000112
- Hexadecimal: 0x90063E9CE128C3
- Base-36: B35YW5KRX6R
Squares and roots of 40539262636075203
- 40539262636075203 squared (405392626360752032) is 1643431815076683016832035871491209
- 40539262636075203 cubed (405392626360752033) is 66623513975875428301863922685870086209810677390427
-
The
square root of 40539262636075203 is 201343643.1479156557 -
The
cube root of 40539262636075203 is 343525.2109950139
Scales and comparisons
How big is 40539262636075203?- 40,539,262,636,075,203 seconds is equal to 1,289,023,155 years, 34 weeks, 6 hours, 40 minutes, 3 seconds.
-
To count from 1 to 40,539,262,636,075,203 would take you about three billion, eight hundred sixty-seven million, sixty-nine thousand, four hundred sixty-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 40539262636075203 cubic inches would be around 28627.1 feet tall.
Recreational maths with 40539262636075203
- 40539262636075203 backwards is 30257063626293504
- 40539262636075203 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40539262636075203'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 40539262636075203 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 40539262636075203 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/40539262636075203/
Chicago style:
Numbermatics. 2024. "Number 40539262636075203 - Facts about the integer". https://numbermatics.com/n/40539262636075203/
The information we have on file for 40539262636075203 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 40539262636075203, math, Factors of 40539262636075203, curriculum, school, college, exams, university, Prime factorization of 40539262636075203, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, five hundred thirty-nine trillion, two hundred sixty-two billion, six hundred thirty-six million, seventy-five thousand, two hundred three.