38187968227200
38,187,968,227,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 38187968227200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
38187968227200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 38187968227200:
27 × 33 × 52 × 112 × 413 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 41 × 41 × 41 × 53)See below for interesting mathematical facts about the number 38187968227200 from the Numbermatics database.
Names of 38187968227200
- Cardinal: 38187968227200 can be written as Thirty-eight trillion, one hundred eighty-seven billion, nine hundred sixty-eight million, two hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 3.81879682272 × 1013
Factors of 38187968227200
Divisors of 38187968227200
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 41 44 45 48 50 53 54 55 60 64 66 72 75 80 82 88 90 96 99 100 106 108 110 120 121 123 128 132 135 144 150 159 160 164 165 176 180 192 198 200 205 212 216 220 225 240 242 246 264 265 270 275 288 297 300 318 320 328 330 352 360 363 369 384 396 400 410 424 432 440 450 451 477 480 484 492 495 528 530 540 550 576 583 594 600 605 615 636 640 656 660 675 704 720 726 738 792 795 800 820 825 848 864 880 900 902 954 960 968 984 990 1025 1056 1060 1080 1089 1100 1107 1152 1166 1188 1200 1210 1230 1272 1312 1320 1325 1350 1353 1408 1431 1440 1452 1476 1485 1584 1590 1600 1640 1650 1681 1696 1728 1749 1760 1800 1804 1815 1845 1908 1920 1936 1968 1980 2050 2112 2120 2160 2173 2178 2200 2214 2255 2332 2376 2385 2400 2420 2460 2475 2544 2624 2640 2650 2700 2706 2862 2880 2904 2915 2952 2970 3025 3075 3168 3180 3200 3267 3280 3300 3362 3392 3456 3498 3520 3600 3608 3630 3690 3816 3872 3936 3960 3975 4059 4100 4224 4240 4320 4346 4356 4400 4428 4510 4664 4752 4770 4800 4840 4920 4950 4961 5043 5088 5247 5248 5280 5300 5400 5412 5445 5535 5724 5760 5808 5830 5904 5940 6050 6150 6336 6360 6413 6519 6534 6560 6600 6724 6765 6784 6996 7040 7155 7200 7216 7260 7380 7425 7632 7744 7872 7920 7950 8118 8200 8405 8480 8640 8692 8712 8745 8800 8856 9020 9075 9225 9328 9504 9540 9600 9680 9840 9900 9922 10086 10176 10494 10560 10600 10800 10824 10865 10890 11070 11275 11448 11616 11660 11808 11880 11925 12100 12177 12300 12672 12720 12826 13038 13068 13120 13200 13448 13530 13992 14310 14400 14432 14520 14575 14760 14850 14883 15129 15264 15488 15741 15744 15840 15900 16236 16335 16400 16810 16960 17280 17384 17424 17490 17600 17712 18040 18150 18450 18491 18656 19008 19080 19239 19360 19557 19680 19800 19844 20172 20295 20352 20988 21120 21200 21600 21648 21730 21780 22140 22550 22896 23232 23320 23616 23760 23850 23903 24200 24354 24600 24805 25215 25440 25652 26076 26136 26235 26240 26400 26896 27060 27225 27675 27984 28620 28800 28864 29040 29150 29520 29700 29766 30258 30528 31482 31680 31800 32065 32472 32595 32670 32800 33620 33825 33920 34768 34848 34980 35200 35424 35775 36080 36300 36900 36982 37312 38016 38160 38478 38720 39114 39360 39600 39688 40344 40590 41976 42025 42400 43200 43296 43460 43560 43725 44280 44649 45100 45387 45792 46464 46640 47232 47520 47700 47806 48400 48708 49200 49610 50430 50880 51304 52152 52272 52470 52800 53792 54120 54325 54450 55350 55473 55968 57240 57717 57728 58080 58300 58671 59040 59400 59532 60516 60885 61056 62964 63360 63600 64130 64944 65190 65340 65600 67240 67650 68921 69536 69696 69960 70848 71550 71709 72160 72600 73800 73964 74415 74624 75645 76320 76956 77440 78228 78705 78720 79200 79376 80688 81180 81675 83952 84050 84800 86400 86592 86920 87120 87450 88560 89093 89298 90200 90774 91584 92455 93280 95040 95400 95612 96195 96800 97416 97785 98400 99220 100860 101475 101760 102608 104304 104544 104940 105600 107584 108240 108650 108900 110700 110946 111936 114480 115434 116160 116600 117342 118080 118800 119064 119515 121032 121770 124025 125928 126075 127200 128260 129888 130380 130680 131175 131200 133947 134480 135300 137842 139072 139392 139920 141696 143100 143418 144320 145200 147600 147928 148830 151290 152640 153912 156456 157410 158400 158752 160325 161376 162360 162975 163350 166419 167904 168100 169600 173151 173184 173840 174240 174900 177120 178186 178596 180400 181548 183168 184910 186560 190080 190800 191224 192390 193600 194832 195570 196800 198440 201720 202950 203401 205216 206763 208608 209088 209880 215127 215168 216480 217300 217800 221400 221892 223245 223872 226935 228960 230868 232320 233200 234684 236160 237600 238128 239030 242064 243540 248050 251856 252150 254400 256520 259776 260760 261360 262350 262933 267279 267894 268960 270600 275684 277365 278144 279840 286200 286836 288585 288640 290400 293355 295200 295856 297660 302580 304425 305280 307824 312912 314820 316800 317504 320650 322752 324720 325950 326700 332838 335808 336200 344605 346302 347680 348480 349800 354240 356372 357192 358545 360800 363096 369820 372075 373120 378225 381600 382448 384780 387200 389664 391140 393525 393600 396880 403440 405900 406802 410432 413526 417216 418176 419760 430254 432960 434600 435600 442800 443784 445465 446490 453870 457920 461736 462275 466400 469368 475200 476256 478060 480975 484128 487080 488925 496100 499257 503712 504300 508800 513040 519552 521520 522720 524700 525866 534558 535788 537920 541200 551368 554730 559680 572400 573672 577170 580800 586710 590400 591712 595320 597575 605160 608850 610203 615648 620289 625824 629640 635008 641300 645381 645504 649440 651900 653400 665676 669735 671616 672400 689210 692604 695360 696960 699600 708480 712744 714384 717090 721600 726192 739640 744150 756450 758131 763200 764896 769560 779328 782280 787050 788799 793760 801837 806880 811800 813604 820864 827052 832095 834432 839520 860508 865755 865920 869200 871200 885600 887568 890930 892980 907740 915840 923472 924550 932800 938736 950400 952512 956120 961950 968256 974160 977850 980023 992200 998514 1007424 1008600 1017005 1026080 1033815 1043040 1045440 1049400 1051732 1069116 1071576 1075635 1075840 1082400 1102736 1109460 1116225 1119360 1134675 1144800 1147344 1154340 1161600 1173420 1180800 1183424 1190640 1195150 1210320 1217700 1220406 1231296 1240578 1251648 1259280 1282600 1290762 1298880 1303800 1306800 1314665 1331352 1336395 1339470 1344800 1378420 1385208 1386825 1390720 1399200 1425488 1428768 1434180 1442925 1443200 1452384 1466775 1479280 1488300 1512900 1516262 1526400 1529792 1539120 1558656 1564560 1574100 1577598 1587520 1603674 1613760 1623600 1627208 1654104 1664190 1679040 1721016 1723025 1731510 1738400 1742400 1771200 1775136 1781860 1785960 1792725 1815480 1830609 1846944 1849100 1860867 1865600 1877472 1905024 1912240 1923900 1936512 1948320 1955700 1960046 1984400 1997028 2014848 2017200 2034010 2052160 2067630 2086080 2090880 2098800 2103464 2138232 2143152 2151270 2164800 2205472 2218920 2227325 2232450 2269350 2274393 2289600 2294688 2308680 2346840 2366397 2366848 2381280 2390300 2405511 2420640 2435400 2440812 2462592 2481156 2496285 2503296 2518560 2565200 2581524 2597760 2607600 2613600 2629330 2662704 2672790 2678940 2689600 2756840 2770416 2773650 2798400 2850976 2857536 2868360 2885850 2904768 2933550 2940069 2958560 2976600 3025800 3032524 3051015 3059584 3078240 3101445 3129120 3148200 3155196 3175040 3207348 3226905 3227520 3247200 3254416 3308208 3328380 3348675 3358080 3442032 3446050 3463020 3476800 3484800 3542400 3550272 3563720 3571920 3585450 3630960 3652813 3661218 3693888 3698200 3721734 3754944 3790655 3824480 3847800 3896640 3911400 3920092 3943995 3968800 3994056 4009185 4034400 4068020 4104320 4135260 4160475 4172160 4197600 4206928 4276464 4286304 4302540 4328775 4329600 4410944 4437840 4454650 4464900 4538700 4548786 4579200 4589376 4617360 4693680 4732794 4762560 4780600 4811022 4841280 4870800 4881624 4900115 4962312 4992570 5037120 5085025 5130400 5163048 5169075 5215200 5227200 5258660 5325408 5345580 5357880 5378175 5379200 5491827 5513680 5540832 5547300 5596800 5701952 5715072 5736720 5771700 5809536 5867100 5880138 5917120 5953200 6051600 6065048 6102030 6156480 6202890 6258240 6296400 6310392 6414696 6453810 6494400 6508832 6573325 6616416 6656760 6681975 6697350 6823179 6884064 6892100 6926040 6953600 7099191 7100544 7127440 7143840 7170900 7261920 7305626 7322436 7387776 7396400 7443468 7509888 7581310 7648960 7695600 7793280 7822800 7840184 7887990 7937600 7988112 8018370 8068800 8136040 8270520 8320950 8339441 8395200 8413856 8552928 8572608 8605080 8657550 8820207 8821888 8875680 8909300 8929800 9077400 9097572 9153045 9178752 9234720 9304335 9387360 9465588 9525120 9561200 9622044 9682560 9741600 9763248 9800230 9924624 9985140 10074240 10170050 10260800 10326096 10338150 10430400 10454400 10517320 10650816 10691160 10715760 10756350 10780253 10958439 10983654 11027360 11081664 11094600 11371965 11403904 11473440 11543400 11734200 11760276 11831985 11834240 11906400 12027555 12103200 12130096 12204060 12312960 12405780 12481425 12516480 12592800 12620784 12829392 12907620 12988800 13017664 13146650 13232832 13313520 13363950 13394700 13646358 13768128 13784200 13852080 14198382 14254880 14287680 14341800 14523840 14611252 14644872 14700345 14792800 14886936 15162620 15255075 15297920 15391200 15507225 15645600 15680368 15775980 15875200 15976224 16036740 16134525 16137600 16272080 16541040 16641900 16678882 16790400 16827712 17105856 17145216 17210160 17315100 17640414 17751360 17818600 17859600 18154800 18195144 18264065 18306090 18469440 18608670 18774720 18931176 18953275 19122400 19244088 19483200 19526496 19600460 19719975 19849248 19970280 20045925 20340100 20469537 20521600 20652192 20676300 20860800 21034640 21301632 21382320 21431520 21512700 21560506 21916878 21967308 22054720 22163328 22189200 22743930 22946880 23086800 23468400 23520552 23663970 23812800 24055110 24206400 24260192 24408120 24500575 24811560 24962850 25018323 25185600 25241568 25658784 25815240 26035328 26293300 26460621 26465664 26627040 26727900 26789400 27292716 27459135 27536256 27568400 27704160 28396764 28509760 28575360 28683600 29047680 29222504 29289744 29400690 29585600 29773872 30325240 30510150 30782400 31014450 31291200 31360736 31551960 31952448 32073480 32269050 32340759 32544160 32875317 33082080 33283800 33357764 33655424 34115895 34211712 34420320 34630200 35280828 35495955 35502720 35637200 35719200 36309600 36390288 36528130 36612180 36938880 37217340 37549440 37862352 37906550 38244800 38488176 38966400 39052992 39200920 39439950 39698496 39940560 40091850 40180943 40680200 40939074 41304384 41352600 41697205 42069280 42764640 42863040 43025400 43121012 43833756 43934616 44101035 44109440 44378400 45487860 45765225 45893760 46173600 46521675 46936800 47041104 47327940 47625600 48110220 48412800 48520384 48816240 49001150 49623120 49925700 50036646 50371200 50483136 51317568 51630480 52586600 52921242 53254080 53455800 53578800 53901265 54585432 54792195 54918270 55136800 55408320 56793528 56859825 57019520 57367200 58445008 58579488 58801380 59159925 59171200 59547744 60137775 60650480 61020300 61564800 62028900 62582400 62721472 63103920 63904896 64146960 64538100 64681518 65088320 65750634 66164160 66567600 66715528 68231790 68840640 69260400 70561656 70991910 71274400 71438400 72619200 72780576 73056260 73224360 73501725 74434680 75054969 75724704 75813100 76489600 76976352 78105984 78401840 78879900 79396992 79881120 80183700 80361886 81360400 81878148 82608768 82705200 83394410 84138560 85529280 85726080 86050800 86242024 87667512 87869232 88202070 88756800 90975720 91320325 91530450 92347200 93043350 93873600 94082208 94655880 96220440 97022277 97040768 97632480 98002300 98625951 99246240 99851400 100073292 100966272 102347685 102635136 103260960 105173200 105842484 106508160 106911600 107157600 107802530 109170864 109584390 109836540 110273600 110816640 113587056 113719650 114734400 116890016 117158976 117602760 118319850 119095488 120275550 120542829 121300960 122040600 124057800 125091615 125442944 126207840 128293920 129076200 129363036 130176640 131501268 132303105 132328320 133135200 133431056 136463580 137295675 137681280 138520800 141123312 141983820 142548800 142876800 145238400 145561152 146112520 146448720 147003450 148869360 150109938 151449408 151626200 153952704 156803680 157759800 159762240 160367400 160723772 161703795 162720800 163756296 164376585 165410400 166788820 168277120 170579475 171058560 172101600 172484048 175335024 175738464 176404140 177479775 177513600 181951440 182640650 183060900 184694400 186086700 187747200 188164416 189311760 192440880 194044554 195264960 196004600 197251902 198492480 199702800 200146584 200904715 204695370 206521920 208486025 210346400 211684968 213823200 214315200 215605060 218341728 219168780 219673080 220505175 220547200 225164907 227174112 227439300 229468800 233780032 234317952 235205520 236639700 238190976 240551100 241085658 242601920 244081200 248115600 250183230 252415680 256587840 258152400 258726072 263002536 264606210 266270400 266862112 269506325 272927160 273960975 274591350 277041600 282246624 283967640 285097600 291066831 291122304 292225040 292897440 294006900 297738720 300219876 302898816 303252400 307905408 313607360 315519600 319524480 320734800 321447544 323407590 325441600 327512592 328753170 330820800 333577640 341158950 344203200 344968096 350670048 351476928 352808280 354959550 361628487 363902880 365281300 366121800 372173400 375274845 376328832 378623520 384881760 388089108 390529920 392009200 394503804 396984960 399405600 400293168 401809430 409390740 413043840 416972050 420692800 423369936 427646400 428630400 431210120 436683456 438337560 439346160 441010350 441990373 450329814 454348224 454878600 467560064 470411040 473279400 481102200 482171316 485111385 485203840 488162400 493129755 496231200 500366460 504831360 511738425 513175680 516304800 517452144 526005072 529212420 532540800 533724224 539012650 545854320 547921950 549182700 554083200 564493248 567935280 582133662 584450080 585794880 588013800 595477440 600439752 602714145 606504800 625458075 627214720 631039200 641469600 642895088 646815180 650883200 655025184 657506340 661515525 661641600 667155280 682317900 688406400 689936192 701340096 702953856 705616560 709919100 723256974 727805760 730562600 732243600 744346800 750549690 757247040 769763520 776178216 784018400 789007608 798811200 800586336 803618860 808518975 818781480 821882925 833944100 841385600 846739872 855292800 862420240 873366912 876675120 878692320 882020700 883980746 900659628 908696448 909757200 940822080 946558800 962204400 964342632 970222770 976324800 986259510 992462400 1000732920 1004523575 1023476850 1032609600 1034904288 1052010144 1058424840 1067448448 1078025300 1084885461 1091708640 1095843900 1098365400 1125824535 1128986496 1135870560 1164267324 1168900160 1171589760 1176027600 1190954880 1200879504 1205428290 1213009600 1250916150 1262078400 1282939200 1285790176 1293630360 1310050368 1315012680 1323031050 1325971119 1334310560 1364635800 1379872384 1402680192 1411233120 1419838200 1446513948 1455334155 1455611520 1461125200 1464487200 1488693600 1501099380 1514494080 1539527040 1552356432 1568036800 1578015216 1597622400 1601172672 1607237720 1617037950 1637562960 1643765850 1667888200 1693479744 1724840480 1753350240 1757384640 1764041400 1767961492 1801319256 1808142435 1819514400 1876374225 1881644160 1893117600 1924408800 1928685264 1940445540 1952649600 1972519020 1984924800 2001465840 2009047150 2046953700 2065219200 2069808576 2104020288 2116849680 2156050600 2169770922 2183417280 2191687800 2196730800 2209951865 2251649070 2271741120 2328534648 2337800320 2352055200 2401759008 2410856580 2425556925 2426019200 2465648775 2501832300 2524156800 2565878400 2571580352 2587260720 2620100736 2630025360 2646062100 2651942238 2668621120 2729271600 2822466240 2839676400 2893027896 2910668310 2922250400 2928974400 2977387200 3002198760 3013570725 3104712864 3136073600 3156030432 3202345344 3214475440 3234075900 3275125920 3287531700 3335776400 3386959488 3449680960 3506700480 3514769280 3528082800 3535922984 3602638512 3616284870 3639028800 3752748450 3786235200 3848817600 3857370528 3880891080 3945038040 3977913357 4002931680 4018094300 4093907400 4139617152 4208040576 4233699360 4312101200 4339541844 4366834560 4383375600 4393461600 4419903730 4503298140 4543482240 4657069296 4704110400 4803518016 4821713160 4851113850 4931297550 5003664600 5143160704 5174521440 5260050720 5292124200 5303884476 5337242240 5424427305 5458543200 5629122675 5644932480 5679352800 5786055792 5821336620 5844500800 5857948800 5954774400 6004397520 6027141450 6209425728 6312060864 6428950880 6468151800 6550251840 6575063400 6629855595 6671552800 6899361920 7013400960 7056165600 7071845968 7205277024 7232569740 7276670775 7278057600 7505496900 7572470400 7697635200 7714741056 7761782160 7890076080 7955826714 8005863360 8036188600 8187814800 8467398720 8624202400 8679083688 8766751200 8786923200 8839807460 9006596280 9040712175 9314138592 9408220800 9607036032 9643426320 9702227700 9862595100 10007329200 10349042880 10520101440 10584248400 10607768952 10848854610 10917086400 11049759325 11258245350 11358705600 11572111584 11642673240 11689001600 11933740071 12008795040 12054282900 12418851456 12624121728 12857901760 12936303600 13100503680 13150126800 13259711190 13343105600 14112331200 14143691936 14410554048 14465139480 14553341550 15010993800 15429482112 15523564320 15780152160 15911653428 16011726720 16072377200 16375629600 16934797440 17248404800 17358167376 17533502400 17573846400 17679614920 18013192560 18081424350 18628277184 19286852640 19404455400 19725190200 19889566785 20014658400 20698085760 21040202880 21168496800 21215537904 21697709220 21834172800 22099518650 22516490700 22717411200 23144223168 23285346480 23867480142 24017590080 24108565800 25715803520 25872607200 26300253600 26519422380 26686211200 27122136525 28224662400 28287383872 28821108096 28930278960 29106683100 30021987600 31047128640 31560304320 31823306856 32144754400 32751259200 33149277975 34496809600 34716334752 35067004800 35359229840 36026385120 36162848700 37256554368 38573705280 38808910800 39450380400 39779133570 40029316800 42336993600 42431075808 43395418440 44199037300 45032981400 46288446336 46570692960 47734960284 48035180160 48217131600 51745214400 52600507200 53038844760 54244273050 56574767744 57860557920 58213366200 59668700355 60043975200 62094257280 63120608640 63646613712 64289508800 65502518400 66298555950 69432669504 70718459680 72052770240 72325697400 77147410560 77617821600 78900760800 79558267140 80058633600 84673987200 84862151616 86790836880 88398074600 90065962800 93141385920 95469920568 96434263200 99447833925 103490428800 105201014400 106077689520 108488546100 115721115840 116426732400 119337400710 120087950400 127293227424 128579017600 132597111900 138865339008 141436919360 144105540480 144651394800 155235643200 157801521600 159116534280 169724303232 173581673760 176796149200 180131925600 186282771840 190939841136 192868526400 198895667850 212155379040 216977092200 231442231680 232853464800 238674801420 240175900800 254586454848 265194223800 282873838720 289302789600 298343501775 310471286400 315603043200 318233068560 347163347520 353592298400 360263851200 381879682272 385737052800 397791335700 424310758080 433954184400 465706929600 477349602840 509172909696 530388447600 578605579200 596687003550 636466137120 694326695040 707184596800 720527702400 763759364544 795582671400 848621516160 867908368800 931413859200 954699205680 1060776895200 1157211158400 1193374007100 1272932274240 1414369193600 1527518729088 1591165342800 1735816737600 1909398411360 2121553790400 2386748014200 2545864548480 3182330685600 3471633475200 3818796822720 4243107580800 4773496028400 6364661371200 7637593645440 9546992056800 12729322742400 19093984113600 38187968227200
- Sum of all divisors σ(n): 160428878769600
- Sum of proper divisors (its aliquot sum) s(n): 122240910542400
- 38187968227200 is an abundant number, because the sum of its proper divisors (122240910542400) is greater than itself. Its abundance is 84052942315200
Bases of 38187968227200
- Binary: 10001010111011010101000100011111100111100000002
- Hexadecimal: 0x22BB5447E780
- Base-36: DJBB6AQO0
Squares and roots of 38187968227200
- 38187968227200 squared (381879682272002) is 1458320917321636710819840000
- 38187968227200 cubed (381879682272003) is 55690312855739820835889164383387648000000
-
The
square root of 38187968227200 is 6179641.4319279075 -
The
cube root of 38187968227200 is 33675.0966498385
Scales and comparisons
How big is 38187968227200?- 38,187,968,227,200 seconds is equal to 1,214,259 years, 13 weeks, 6 days.
-
To count from 1 to 38,187,968,227,200 would take you about three million, thirty-five thousand, six hundred forty-eight 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 38187968227200 cubic inches would be around 2806.3 feet tall.
Recreational maths with 38187968227200
- 38187968227200 backwards is 00272286978183
- The number of decimal digits it has is: 14
- The sum of 38187968227200'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 38187968227200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 38187968227200 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/38187968227200/
Chicago style:
Numbermatics. 2024. "Number 38187968227200 - Facts about the integer". https://numbermatics.com/n/38187968227200/
The information we have on file for 38187968227200 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 38187968227200, math, Factors of 38187968227200, curriculum, school, college, exams, university, Prime factorization of 38187968227200, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, one hundred eighty-seven billion, nine hundred sixty-eight million, two hundred twenty-seven thousand, two hundred.