27251893573632
27,251,893,573,632 is an even composite number composed of seven prime numbers multiplied together.
What does the number 27251893573632 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
27251893573632 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 27251893573632:
211 × 33 × 7 × 132 × 23 × 59 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 23 × 59 × 307)See below for interesting mathematical facts about the number 27251893573632 from the Numbermatics database.
Names of 27251893573632
- Cardinal: 27251893573632 can be written as Twenty-seven trillion, two hundred fifty-one billion, eight hundred ninety-three million, five hundred seventy-three thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 2.7251893573632 × 1013
Factors of 27251893573632
Divisors of 27251893573632
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 59 63 64 69 72 78 84 91 92 96 104 108 112 117 118 126 128 138 144 156 161 168 169 177 182 184 189 192 207 208 216 224 234 236 252 256 273 276 288 299 307 312 322 336 338 351 354 364 368 378 384 413 414 416 432 448 468 472 483 504 507 512 531 546 552 576 598 614 621 624 644 672 676 702 708 728 736 756 767 768 819 826 828 832 864 896 897 921 936 944 966 1008 1014 1024 1062 1092 1104 1152 1183 1196 1228 1239 1242 1248 1288 1344 1352 1357 1404 1416 1449 1456 1472 1512 1521 1534 1536 1593 1638 1652 1656 1664 1728 1792 1794 1842 1872 1888 1932 2016 2028 2048 2093 2124 2149 2184 2208 2301 2304 2366 2392 2456 2457 2478 2484 2496 2576 2688 2691 2704 2714 2763 2808 2832 2898 2912 2944 3024 3042 3068 3072 3186 3276 3304 3312 3328 3456 3549 3584 3588 3684 3717 3744 3776 3864 3887 3991 4032 4056 4071 4186 4248 4298 4347 4368 4416 4563 4602 4608 4732 4784 4912 4914 4956 4968 4992 5152 5369 5376 5382 5408 5428 5526 5616 5664 5796 5824 5888 6048 6084 6136 6144 6279 6372 6447 6552 6608 6624 6656 6903 6912 7061 7098 7168 7176 7368 7434 7488 7552 7728 7774 7982 8064 8073 8112 8142 8289 8372 8496 8596 8694 8736 8832 9126 9204 9216 9464 9499 9568 9824 9828 9912 9936 9971 9984 10304 10647 10738 10752 10764 10816 10856 11052 11151 11232 11328 11592 11648 11661 11776 11973 12096 12168 12213 12272 12558 12744 12894 13104 13216 13248 13312 13806 13824 14122 14196 14336 14352 14736 14868 14976 15104 15456 15548 15964 16107 16128 16146 16224 16284 16578 16744 16992 17192 17388 17472 17641 17664 18113 18252 18408 18432 18837 18928 18998 19136 19341 19648 19656 19824 19872 19942 19968 20608 20709 21183 21294 21476 21504 21528 21632 21712 22104 22302 22464 22656 23184 23296 23322 23552 23946 24192 24336 24426 24544 25116 25488 25788 26208 26432 26496 26624 27209 27612 27648 27937 28244 28392 28497 28704 29472 29736 29913 29952 30208 30912 31096 31928 31941 32214 32256 32292 32448 32568 33156 33488 33984 34384 34776 34944 34983 35282 35328 35919 36226 36504 36639 36816 37674 37856 37996 38272 38682 39296 39312 39648 39744 39884 39936 41216 41418 42366 42588 42952 43008 43056 43264 43424 44208 44604 44928 45312 46368 46592 46644 47104 47892 48321 48384 48672 48852 49088 49427 50232 50976 51576 51883 52416 52864 52923 52992 54339 54418 55224 55296 55874 56488 56511 56784 56994 57408 58023 58944 59472 59826 59904 60416 61824 62192 63549 63856 63882 64428 64512 64584 64896 65136 66312 66976 67968 68768 69552 69797 69888 69966 70564 70656 71838 72452 73008 73278 73632 75348 75712 75992 76544 77364 78592 78624 79296 79488 79768 79872 81627 82432 82836 83811 84732 85176 85491 85904 86112 86528 86848 88416 89208 89739 89856 90624 91793 92736 93184 93288 95784 96642 96768 97344 97704 98176 98854 100464 101952 103152 103766 104832 104949 105728 105846 105984 107757 108678 108836 110448 111748 112976 113022 113568 113988 114816 116046 117888 118944 119652 119808 120832 123487 123648 124384 126791 127098 127712 127764 128856 129024 129168 129792 130272 132624 133952 135936 137536 139104 139594 139776 139932 141128 141312 143676 144904 144963 146016 146556 147264 148281 150696 151424 151984 153088 154728 155649 157184 157248 158592 158769 158976 159536 163017 163254 164864 165672 167622 169464 170352 170982 171808 172224 173056 173696 176832 178416 179478 179712 181248 183586 185472 186368 186576 190647 191568 193284 193536 194688 195408 196352 197708 200928 203904 206304 207532 209391 209664 209898 211456 211692 211968 215514 217356 217672 220896 223496 225952 226044 227136 227976 229333 229632 232092 235469 235776 237888 239304 239616 244881 246974 247296 248768 251433 253582 254196 255424 255528 256473 257712 258336 259584 260544 265248 267904 269217 271872 275072 275379 278208 279188 279552 279864 282256 287352 289808 289926 292032 293112 294528 296562 301392 302848 303968 306176 309456 311298 314368 314496 317184 317538 317952 319072 326034 326508 329728 331344 335244 338928 340704 341964 343616 344448 346112 347392 353664 356832 358956 359424 362496 363181 367172 370461 370944 373152 380373 381294 383136 386568 387072 389376 390816 392704 395416 401856 407808 412608 415064 416599 418782 419328 419796 422912 423384 423936 431028 434712 435344 441792 444843 446992 451904 452088 454272 455952 458666 459264 464184 466947 470938 471552 475776 476307 478608 489051 489762 493948 494592 497536 502866 507164 508392 510848 511056 512946 515424 516672 519168 521088 530496 535808 538434 543744 550144 550758 556416 558376 559104 559728 564512 574704 579616 579852 584064 586224 589056 593124 602784 605696 607936 612352 618912 622596 628173 628736 628992 634368 635076 635904 638144 642551 652068 653016 662688 670488 677856 681408 683928 687232 687999 688896 694784 706407 707328 713664 717912 718848 726362 734344 734643 740922 741888 746304 754299 760746 762588 766272 773136 778752 781632 785408 790832 803712 815616 825216 826137 830128 833198 837564 838656 839592 845824 846768 862056 869424 870688 883584 889686 893984 903808 904176 908544 911904 917332 918528 928368 933894 941876 943104 951552 952614 957216 978102 979524 987896 989184 995072 1005732 1014328 1016784 1021696 1022112 1025892 1030848 1033344 1038336 1042176 1060992 1071616 1076868 1087488 1089543 1100288 1101516 1111383 1112832 1116752 1119456 1129024 1141119 1149408 1159232 1159704 1168128 1172448 1178112 1186248 1193309 1205568 1211392 1215872 1237824 1245192 1249797 1256346 1257984 1268736 1270152 1271808 1276288 1285102 1304136 1306032 1325376 1334529 1340976 1355712 1362816 1367856 1374464 1375998 1377792 1389568 1400841 1412814 1414656 1427328 1435824 1452724 1468688 1469286 1481844 1483776 1492608 1508598 1521492 1525176 1532544 1546272 1557504 1563264 1570816 1581664 1605331 1607424 1631232 1648283 1650432 1652274 1660256 1666396 1675128 1677312 1679184 1693536 1724112 1738848 1741376 1767168 1779372 1787968 1807616 1808352 1817088 1823808 1834664 1837056 1856736 1867788 1883752 1884519 1886208 1903104 1905228 1914432 1927653 1956204 1959048 1975792 1990144 2011464 2028656 2033568 2043392 2044224 2051784 2061696 2063997 2066688 2084352 2119221 2121984 2143232 2153736 2179086 2200576 2203032 2222766 2225664 2233504 2238912 2258048 2282238 2298816 2318464 2319408 2336256 2344896 2356224 2372496 2386618 2411136 2422784 2431744 2475648 2478411 2490384 2499594 2512692 2515968 2537472 2540304 2552576 2570204 2608272 2612064 2650752 2669058 2681952 2711424 2725632 2735712 2748928 2751996 2755584 2779136 2801682 2825628 2829312 2854656 2871648 2905448 2916193 2937376 2938572 2963688 2967552 2985216 3017196 3042984 3050352 3061097 3065088 3092544 3115008 3126528 3163328 3210662 3214848 3262464 3268629 3296566 3300864 3304548 3320512 3332792 3334149 3350256 3358368 3387072 3423357 3448224 3477696 3482752 3534336 3558744 3575936 3579927 3615232 3616704 3634176 3647616 3669328 3713472 3735576 3749391 3767504 3769038 3806208 3810456 3828864 3855306 3912408 3918096 3951584 3980288 4022928 4057312 4067136 4086784 4088448 4103568 4123392 4127994 4133376 4168704 4238442 4243968 4286464 4307472 4358172 4401152 4406064 4445532 4451328 4467008 4477824 4516096 4564476 4597632 4636928 4638816 4672512 4689792 4712448 4744992 4773236 4815993 4822272 4863488 4944849 4951296 4956822 4980768 4999188 5025384 5031936 5080608 5105152 5140408 5216544 5224128 5301504 5338116 5363904 5415787 5422848 5451264 5471424 5497856 5503992 5511168 5603364 5651256 5658624 5709312 5743296 5782959 5810896 5832386 5874752 5877144 5927376 5970432 6034392 6085968 6100704 6122194 6130176 6185088 6191991 6253056 6326656 6357663 6421324 6429696 6537258 6593132 6601728 6609096 6641024 6665584 6668298 6700512 6716736 6774144 6846714 6896448 6955392 6965504 7068672 7117488 7151872 7159854 7230464 7233408 7268352 7295232 7338656 7426944 7471152 7498782 7535008 7538076 7612416 7620912 7657728 7710612 7824816 7836192 7903168 7960576 8045856 8114624 8134272 8173568 8176896 8207136 8246784 8255988 8266752 8337408 8353163 8476884 8487936 8614944 8716344 8748579 8812128 8891064 8902656 8934016 8955648 9032192 9128952 9183291 9195264 9273856 9277632 9345024 9379584 9489984 9546472 9631986 9644544 9726976 9805887 9889698 9902592 9913644 9961536 9998376 10050768 10161216 10210304 10280816 10433088 10448256 10603008 10676232 10727808 10739781 10831574 10845696 10902528 10942848 10995712 11007984 11206728 11248173 11302512 11418624 11486592 11565918 11621792 11664772 11749504 11754288 11854752 11940864 12068784 12171936 12201408 12244388 12260352 12370176 12383982 12506112 12653312 12715326 12842648 12859392 13074516 13186264 13203456 13218192 13282048 13331168 13336596 13401024 13433472 13548288 13693428 13792896 13910784 13931008 14137344 14234976 14303744 14319708 14447979 14460928 14466816 14590464 14677312 14834547 14853888 14942304 14997564 15070016 15076152 15241824 15315456 15421224 15649632 15672384 15806336 16091712 16229248 16247361 16268544 16353792 16414272 16493568 16511976 16533504 16706326 16953768 16975872 17229888 17348877 17432688 17497158 17624256 17782128 17868032 17911296 18064384 18257904 18366582 18390528 18547712 18555264 18759168 18979968 19092944 19263972 19289088 19453952 19611774 19779396 19805184 19827288 19923072 19996752 20101536 20322432 20420608 20561632 20866176 20896512 21206016 21352464 21427679 21455616 21479562 21663148 21691392 21805056 21885696 22015968 22413456 22496346 22605024 22837248 22973184 23131836 23243584 23329544 23499008 23508576 23709504 23881728 24137568 24343872 24402816 24488776 24520704 24740352 24767964 25012224 25059489 25306624 25430652 25685296 26149032 26245737 26372528 26436384 26564096 26662336 26673192 26802048 26866944 27096576 27386856 27549873 27585792 27821568 27862016 28469952 28607488 28639416 28895958 28933632 29180928 29354624 29669094 29707776 29884608 29995128 30140032 30152304 30483648 30630912 30842448 31299264 31344768 31612672 32183424 32219343 32458496 32494722 32537088 32707584 32828544 32987136 33023952 33412652 33907536 34459776 34697754 34865376 34994316 35248512 35564256 35736064 35822592 36128768 36515808 36733164 36781056 37095424 37110528 37518336 37910509 37959936 38185888 38527944 38578176 39223548 39558792 39610368 39654576 39846144 39993504 40203072 40644864 41123264 41732352 41793024 42412032 42704928 42855358 42911232 42959124 43326296 43343937 43382784 43771392 44031936 44503641 44826912 44992692 45210048 45946368 46263672 46487168 46659088 46998016 47017152 47419008 48275136 48687744 48742083 48805632 48977552 49480704 49535928 50118978 50613248 50861304 51370592 52298064 52491474 52745056 52872768 53128192 53324672 53346384 53604096 53733888 54193152 54773712 55099746 55171584 55643136 55724032 56939904 57214976 57278832 57791916 57867264 58361856 58709248 59338188 59415552 59769216 59990256 60280064 60304608 60967296 61261824 61684896 62598528 62689536 63225344 64283037 64366848 64438686 64916992 64989444 65074176 65415168 65657088 66047904 66825304 67815072 68919552 69395508 69730752 69988632 70405231 70497024 71128512 71472128 71645184 73031616 73466328 73562112 74221056 75036672 75178467 75821018 75919872 76371776 77055888 78447096 78737211 79117584 79309152 79692288 79987008 80406144 81289728 82246528 82649619 83464704 83586048 85409856 85710716 85822464 85918248 86652592 86687874 87542784 88063872 89007282 89653824 89985384 90420096 91892736 92527344 92974336 93318176 93996032 94034304 94838016 96550272 97375488 97484166 97611264 97955104 98961408 99071856 100237956 101226496 101722608 102741184 104596128 104982948 105490112 105745536 106256384 106649344 106692768 107208192 107467776 108386304 109547424 110199492 110343168 111286272 113731527 113879808 114557664 115583832 115734528 117418496 118676376 118831104 119538432 119980512 120560128 120609216 121934592 123369792 125197056 125379072 126450688 128566074 128733696 128877372 129833984 129978888 130148352 131314176 132095808 133650608 135630144 137839104 138791016 139461504 139977264 140810462 140994048 142257024 142944256 146063232 146226249 146932656 148442112 150356934 151642036 151839744 152743552 154111776 156894192 157474422 158235168 158618304 159384576 159974016 160812288 162579456 164493056 165299238 166929408 167172096 170819712 171421432 171644928 171836496 173305184 173375748 175085568 176127744 178014564 179307648 179970768 180840192 183785472 185054688 185948672 186636352 187992064 188068608 189676032 192849111 193100544 194750976 194968332 195222528 195910208 198143712 200475912 203445216 205482368 209192256 209965896 210980224 211215693 211491072 213298688 213385536 214416384 214935552 219094848 220398984 220686336 225535401 227463054 227759616 229115328 231167664 234836992 237352752 239076864 239961024 241120256 241218432 243869184 246739584 250394112 250758144 252901376 257132148 257467392 257754744 259667968 259957776 262628352 264191616 267301216 271260288 275678208 277582032 278923008 279954528 281620924 281988096 284514048 292126464 292452498 293865312 296884224 300713868 303284072 303679488 305487104 308223552 313788384 314948844 316470336 317236608 318769152 319948032 321624576 325158912 328986112 330598476 333858816 341194581 341639424 342842864 343672992 346610368 346751496 352255488 356029128 358615296 359941536 361680384 370109376 371897344 373272704 376137216 379352064 385698222 386201088 389501952 389936664 390445056 391820416 396287424 400951824 406890432 410964736 418384512 419931792 421960448 422431386 422982144 426597376 426771072 428832768 438189696 440797968 451070802 454926108 455519232 458230656 462335328 469673984 474705504 478153728 479922048 482240512 482436864 487738368 492836617 493479168 500788224 501516288 514264296 514934784 515509488 519915552 525256704 528383232 534602432 542520576 551356416 555164064 557846016 559909056 563241848 563976192 569028096 578547333 584252928 584904996 587730624 601427736 606568144 610974208 616447104 627576768 629897688 632940672 633647079 634473216 639896064 643249152 657972224 661196952 682389162 683278848 685685728 687345984 693220736 693502992 704510976 712058256 717230592 719883072 723360768 740218752 743794688 746545408 752274432 758704128 771396444 772402176 779003904 779873328 783640832 792574848 801903648 813780864 821929472 836769024 839863584 843920896 844862772 845964288 853194752 853542144 876379392 881595936 902141604 909852216 911038464 916461312 924670656 949411008 956307456 959844096 964873728 975476736 985673234 986958336 1001576448 1023583743 1028528592 1031018976 1039831104 1056766464 1069204864 1085041152 1110328128 1115692032 1119818112 1126483696 1138056192 1157094666 1168505856 1169809992 1175461248 1202855472 1213136288 1221948416 1232894208 1255153536 1259795376 1265881344 1267294158 1268946432 1279792128 1286498304 1315944448 1322393904 1364778324 1366557696 1371371456 1374691968 1386441472 1387005984 1409021952 1424116512 1434461184 1439766144 1446721536 1478509851 1480437504 1493090816 1504548864 1542792888 1544804352 1559746656 1567281664 1585149696 1603807296 1627561728 1643858944 1673538048 1679727168 1687841792 1689725544 1691928576 1707084288 1752758784 1763191872 1804283208 1819704432 1832922624 1849341312 1898822016 1900941237 1919688192 1929747456 1971346468 1973916672 2047167486 2057057184 2062037952 2079662208 2113532928 2138409728 2170082304 2220656256 2231384064 2239636224 2252967392 2276112384 2314189332 2337011712 2339619984 2350922496 2405710944 2426272576 2443896832 2465788416 2510307072 2519590752 2531762688 2534588316 2537892864 2559584256 2644787808 2729556648 2733115392 2742742912 2749383936 2772882944 2774011968 2848233024 2868922368 2879532288 2957019702 2960875008 2986181632 3085585776 3119493312 3134563328 3170299392 3207614592 3255123456 3287717888 3347076096 3359454336 3375683584 3379451088 3414168576 3505517568 3526383744 3608566416 3639408864 3665845248 3698682624 3797644032 3801882474 3839376384 3859494912 3942692936 3947833344 4094334972 4114114368 4124075904 4159324416 4227065856 4276819456 4340164608 4435529553 4441312512 4479272448 4505934784 4628378664 4679239968 4701844992 4811421888 4852545152 4931576832 5020614144 5039181504 5063525376 5069176632 5075785728 5289575616 5459113296 5485485824 5498767872 5545765888 5548023936 5696466048 5759064576 5914039404 5921750016 5972363264 6171171552 6238986624 6269126656 6340598784 6415229184 6510246912 6694152192 6718908672 6758902176 6828337152 7011035136 7052767488 7217132832 7278817728 7331690496 7397365248 7595288064 7603764948 7678752768 7885385872 8188669944 8228228736 8248151808 8318648832 8553638912 8871059106 8882625024 8958544896 9011869568 9256757328 9358479936 9403689984 9622843776 9705090304 9863153664 10041228288 10078363008 10127050752 10138353264 10579151232 10918226592 10970971648 10997535744 11091531776 11096047872 11392932096 11518129152 11828078808 11843500032 12342343104 12477973248 12681197568 12830458368 13020493824 13306588659 13437817344 13517804352 14105534976 14434265664 14557635456 14794730496 15190576128 15207529896 15770771744 16377339888 16456457472 16496303616 16637297664 17107277824 17742118212 17765250048 17917089792 18023739136 18513514656 18716959872 18807379968 19245687552 19410180608 20082456576 20156726016 20276706528 21158302464 21836453184 21941943296 21995071488 22192095744 22785864192 23036258304 23656157616 24684686208 24955946496 25660916736 26613177318 26875634688 27035608704 28211069952 28868531328 29115270912 29589460992 30381152256 30415059792 31541543488 32754679776 32912914944 32992607232 33274595328 35484236424 35530500096 36047478272 37027029312 37433919744 38491375104 38820361216 40313452032 40553413056 42316604928 43672906368 43883886592 44384191488 45571728384 47312315232 49369372416 49911892992 51321833472 53226354636 53751269376 54071217408 56422139904 57737062656 58230541824 60830119584 63083086976 65509359552 65825829888 65985214464 70968472848 72094956544 74054058624 74867839488 76982750208 77640722432 80626904064 81106826112 84633209856 87345812736 88768382976 91143456768 94624630464 98738744832 99823785984 106452709272 108142434816 115474125312 116461083648 121660239168 126166173952 131018719104 131651659776 141936945696 144189913088 148108117248 149735678976 153965500416 161253808128 162213652224 169266419712 174691625472 189249260928 197477489664 212905418544 216284869632 230948250624 232922167296 243320478336 252332347904 262037438208 283873891392 296216234496 299471357952 324427304448 349383250944 378498521856 394954979328 425810837088 432569739264 461896501248 486640956672 504664695808 524074876416 567747782784 592432468992 648854608896 698766501888 756997043712 851621674176 973281913344 1009329391616 1048149752832 1135495565568 1184864937984 1297709217792 1513994087424 1703243348352 1946563826688 2096299505664 2270991131136 3027988174848 3406486696704 3893127653376 4541982262272 6812973393408 9083964524544 13625946786816 27251893573632
- Sum of all divisors σ(n): 106357515264000
- Sum of proper divisors (its aliquot sum) s(n): 79105621690368
- 27251893573632 is an abundant number, because the sum of its proper divisors (79105621690368) is greater than itself. Its abundance is 51853728116736
Bases of 27251893573632
- Binary: 1100011001001000100110110111110011000000000002
- Hexadecimal: 0x18C9136F9800
- Base-36: 9NRCHT6O0
Squares and roots of 27251893573632
- 27251893573632 squared (272518935736322) is 742665703348565099805671424
- 27251893573632 cubed (272518935736323) is 20239046708441650546682573771732542291968
-
The
square root of 27251893573632 is 5220334.6227643299 -
The
cube root of 27251893573632 is 30093.0052854287
Scales and comparisons
How big is 27251893573632?- 27,251,893,573,632 seconds is equal to 866,525 years, 47 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 27,251,893,573,632 would take you about two million, one hundred sixty-six thousand, three hundred fourteen 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 27251893573632 cubic inches would be around 2507.8 feet tall.
Recreational maths with 27251893573632
- 27251893573632 backwards is 23637539815272
- 27251893573632 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 27251893573632'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 27251893573632 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 27251893573632 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/27251893573632/
Chicago style:
Numbermatics. 2024. "Number 27251893573632 - Facts about the integer". https://numbermatics.com/n/27251893573632/
The information we have on file for 27251893573632 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 27251893573632, math, Factors of 27251893573632, curriculum, school, college, exams, university, Prime factorization of 27251893573632, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven trillion, two hundred fifty-one billion, eight hundred ninety-three million, five hundred seventy-three thousand, six hundred thirty-two.