31974713721720
31,974,713,721,720 is an even composite number composed of eight prime numbers multiplied together.
What does the number 31974713721720 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
31974713721720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 31974713721720:
23 × 35 × 5 × 7 × 11 × 31 × 672 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 31 × 67 × 67 × 307)See below for interesting mathematical facts about the number 31974713721720 from the Numbermatics database.
Names of 31974713721720
- Cardinal: 31974713721720 can be written as Thirty-one trillion, nine hundred seventy-four billion, seven hundred thirteen million, seven hundred twenty-one thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.197471372172 × 1013
Factors of 31974713721720
Divisors of 31974713721720
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 31 33 35 36 40 42 44 45 54 55 56 60 62 63 66 67 70 72 77 81 84 88 90 93 99 105 108 110 120 124 126 132 134 135 140 154 155 162 165 168 180 186 189 198 201 210 216 217 220 231 243 248 252 264 268 270 279 280 297 307 308 310 315 324 330 335 341 360 372 378 385 396 402 405 420 434 440 462 465 469 486 495 504 536 540 558 567 594 603 614 616 620 630 648 651 660 670 682 693 737 744 756 770 792 804 810 837 840 868 891 921 924 930 938 945 972 990 1005 1023 1080 1085 1116 1134 1155 1188 1206 1215 1228 1240 1260 1302 1320 1340 1364 1386 1395 1407 1474 1485 1512 1535 1540 1608 1620 1674 1701 1705 1736 1782 1809 1842 1848 1860 1876 1890 1944 1953 1980 2010 2046 2077 2079 2149 2170 2211 2232 2268 2310 2345 2376 2387 2412 2430 2456 2511 2520 2604 2673 2680 2728 2763 2772 2790 2814 2835 2948 2970 3015 3069 3070 3080 3240 3255 3348 3377 3402 3410 3465 3564 3618 3684 3685 3720 3752 3780 3906 3960 4020 4092 4154 4158 4185 4221 4298 4340 4422 4455 4489 4536 4605 4620 4690 4774 4824 4860 5022 5115 5159 5208 5346 5427 5526 5544 5580 5628 5670 5859 5896 5940 6030 6138 6140 6231 6237 6447 6510 6633 6696 6754 6804 6820 6930 7035 7128 7161 7236 7368 7370 7533 7560 7812 8040 8184 8289 8308 8316 8370 8442 8505 8596 8680 8844 8910 8978 9045 9207 9210 9240 9380 9517 9548 9720 9765 10044 10131 10230 10318 10385 10395 10692 10745 10854 11052 11055 11160 11256 11340 11718 11880 11935 12060 12276 12280 12462 12474 12555 12663 12894 13020 13266 13365 13467 13508 13608 13640 13815 13860 14070 14322 14472 14539 14740 15066 15345 15477 15624 16281 16578 16616 16632 16740 16884 16885 17010 17192 17577 17688 17820 17956 18090 18414 18420 18693 18711 18760 19034 19096 19341 19530 19899 20088 20262 20460 20569 20636 20770 20790 21105 21384 21483 21490 21708 22104 22110 22445 22680 22847 23436 23639 23870 24120 24552 24867 24924 24948 25110 25326 25788 25795 26040 26532 26730 26934 27016 27135 27621 27630 27720 28140 28551 28644 29078 29295 29480 30132 30393 30690 30954 31155 31185 31423 32235 32562 33156 33165 33480 33768 33770 34020 35154 35640 35805 35912 36180 36828 36840 37386 37422 37665 37989 38068 38682 39060 39798 40401 40524 40920 41138 41272 41445 41540 41580 42210 42966 42980 43416 43617 44220 44890 45694 46035 46431 46872 47278 47585 47740 49379 49734 49848 49896 50220 50652 50655 51576 51590 52731 53064 53460 53868 54270 55242 55260 56079 56280 57102 57288 58023 58156 58590 59697 60264 60786 61380 61707 61908 62310 62370 62846 63315 64449 64470 65124 66312 66330 66619 67335 67540 68040 68541 70308 70917 71610 72360 72695 73656 74601 74772 74844 75330 75978 76136 77364 77385 78120 79596 80802 81048 81405 82276 82863 82890 83080 83160 84420 85653 85932 85960 87234 87885 88440 89780 91179 91388 92070 92862 93465 93555 94269 94556 95170 95480 96705 98758 99468 99495 100440 101304 101310 102845 103180 104687 105462 106920 107415 107736 108540 110484 110520 112158 113967 114204 114235 116046 116312 117180 118195 119394 121203 121572 122760 123414 123816 124335 124620 124740 125692 126630 128898 128940 130248 130851 132660 133238 134670 135080 137082 138105 139159 139293 140616 141834 142755 143220 143983 145390 148137 149202 149544 149688 150660 151956 151965 154728 154770 157115 159192 159929 161604 162810 164552 165726 165780 168237 168840 171306 171864 174069 174468 175770 179091 179560 182358 182776 184140 185121 185724 186930 187110 188538 189112 189945 190340 193347 193410 197516 198936 198990 199857 202005 202620 205623 205690 206360 209374 210924 212751 214830 217080 218085 220968 224316 226259 227934 228408 228470 232092 232155 234360 236390 238788 242406 243144 246828 246895 248670 249240 249480 251384 253260 256959 257796 257880 261702 263655 265320 266476 269340 273537 274164 276210 278318 278586 280395 282807 283668 285510 286440 287966 290115 290780 296274 298404 298485 301320 303912 303930 308535 309540 314061 314230 319858 322245 323208 325620 331452 331560 333095 336474 342612 342705 345653 348138 348936 351540 354585 358182 363609 364716 368280 370242 371448 373005 373860 374220 377076 379890 380680 386694 386820 392553 395032 397980 399714 404010 405240 411246 411380 414315 417477 417879 418748 421848 425502 428265 429660 431949 436170 444411 448632 452518 455868 455895 456940 464184 464310 471345 472780 477576 479787 484812 493656 493790 497340 504711 506520 513918 515592 522207 523404 523435 527310 532952 538680 547074 548328 552420 555363 556636 557172 560790 565614 567336 569835 571020 575932 580041 580230 581560 592548 596808 596970 599571 606015 607860 616869 617070 619080 628122 628460 637639 638253 639716 644490 651240 654255 662904 666190 672948 678777 685224 685410 691306 695795 696276 696465 703080 709170 716364 719915 727218 729432 732809 740484 740685 746010 747720 748440 754152 759780 770877 773388 773640 785106 795960 799428 799645 808020 820611 822492 822760 828630 834954 835758 837496 841185 848421 851004 856530 859320 863898 870345 872340 888822 895455 905036 911736 911790 913880 925605 928620 942183 942690 945560 959574 966735 969624 974113 987580 994680 999285 1009422 1027836 1028115 1036959 1044414 1046808 1046870 1054620 1063755 1090827 1094148 1104840 1110726 1113272 1114344 1121580 1131228 1131295 1139670 1142040 1151864 1160082 1160460 1177659 1185096 1193940 1199142 1212030 1215720 1233738 1234140 1252431 1253637 1256244 1256920 1275278 1276506 1279432 1284795 1288980 1295847 1308510 1332380 1333233 1345896 1357554 1367685 1370820 1378123 1382612 1391590 1392552 1392930 1414035 1418340 1432728 1439361 1439830 1454436 1465618 1480968 1481370 1492020 1519560 1530749 1541754 1546776 1570212 1570305 1583813 1598856 1599290 1616040 1641222 1644984 1657260 1666089 1669908 1671516 1682370 1696842 1702008 1713060 1727796 1728265 1740690 1744680 1777644 1790910 1798713 1810072 1818045 1823580 1850607 1851210 1857240 1884366 1885380 1912917 1914759 1919148 1933470 1948226 1962765 1975160 1998570 2018844 2036331 2055672 2056230 2073918 2087385 2088828 2089395 2093740 2109240 2127510 2159745 2181654 2188296 2198427 2221452 2222055 2243160 2262456 2262590 2279340 2312631 2320164 2320920 2355318 2387880 2398284 2398935 2424060 2467476 2468280 2504862 2507274 2512488 2523555 2545263 2550556 2553012 2569590 2577960 2591694 2611035 2617020 2664760 2666466 2715108 2735370 2741640 2756246 2765224 2776815 2783180 2785860 2826549 2828070 2836680 2878722 2879660 2900205 2908872 2922339 2931236 2962740 2984040 2997855 3061498 3083508 3084345 3110877 3140424 3140610 3167626 3188195 3191265 3198580 3282444 3314520 3332178 3339816 3343032 3364740 3393684 3393885 3426120 3455592 3456530 3481380 3532977 3555288 3581820 3597426 3636090 3647160 3664045 3701214 3702420 3757293 3768732 3770760 3825834 3829518 3838296 3854385 3866940 3887541 3896452 3925530 3997140 3999699 4037688 4072662 4103055 4112460 4134369 4147836 4174770 4177656 4178790 4187480 4242105 4255020 4318083 4319490 4363308 4396854 4442904 4444110 4463473 4525180 4558680 4592247 4625262 4640328 4710636 4710915 4751439 4796568 4797870 4848120 4870565 4934952 4998267 5009724 5014548 5047110 5090526 5101112 5106024 5139180 5183388 5184795 5222070 5234040 5332932 5396139 5430216 5454135 5470740 5512492 5551821 5553630 5566360 5571720 5653098 5656140 5738751 5744277 5757444 5759320 5800410 5844678 5862472 5888295 5925480 5995710 6108993 6122996 6167016 6168690 6221754 6262155 6268185 6281220 6335252 6376390 6382530 6397160 6479235 6564888 6595281 6664356 6666165 6729480 6787368 6787770 6890615 6913060 6962760 7014029 7065954 7163640 7194852 7196805 7272180 7328090 7402428 7404840 7514586 7537464 7635789 7651668 7653745 7659036 7708770 7733880 7775082 7792904 7851060 7919065 7994280 7999398 8145324 8206110 8224920 8268738 8295672 8330445 8349540 8357580 8479647 8484210 8510040 8636166 8638980 8726616 8767017 8793708 8888220 8926946 8993565 9050360 9184494 9250524 9253035 9332631 9421272 9421830 9502878 9564585 9573795 9595740 9646861 9741130 9996534 10019448 10029096 10094220 10181052 10181655 10278360 10366776 10369590 10444140 10665864 10715243 10792278 10908270 10941480 10992135 11024984 11103642 11107260 11271879 11306196 11312280 11477502 11488554 11514888 11563155 11600820 11662623 11689356 11776590 11991420 11999097 12217986 12245992 12337380 12403107 12443508 12524310 12536370 12562440 12670504 12726315 12752780 12765060 12954249 12958470 13190562 13328712 13332330 13390419 13575540 13776741 13781230 13826120 14028058 14131908 14132745 14254317 14389704 14393610 14544360 14611695 14656180 14804856 15029172 15159353 15271578 15303336 15307490 15318072 15417540 15550164 15554385 15702120 15838130 15998796 16188417 16290648 16412220 16537476 16660890 16699080 16715160 16959294 16968420 17216253 17272332 17277960 17534034 17587416 17664885 17776440 17853892 17987130 18326979 18368988 18501048 18506070 18665262 18786465 18843660 19005756 19129170 19147590 19191480 19293722 19437705 19482260 19785843 19993068 19998495 20188440 20362104 20363310 20671845 20739180 20888280 21042087 21430486 21584556 21590415 21816540 21984270 22207284 22214520 22317365 22543758 22612392 22955004 22961235 22977108 23126310 23201640 23325246 23378712 23553180 23757195 23982840 23998194 24435972 24674760 24806214 24887016 24991335 25048620 25072740 25438941 25452630 25505560 25530120 25908498 25916940 26301051 26381124 26664660 26780838 26980695 27151080 27553482 27562460 27759105 27997893 28056116 28263816 28265490 28508634 28693755 28721385 28787220 28940583 29223390 29312360 30058344 30318706 30543156 30544965 30614980 30835080 31100328 31108770 31676260 31997592 32145729 32376834 32824440 32976405 33074952 33321780 33815637 33918588 33936840 34432506 34544664 34987869 35068068 35070145 35329770 35707784 35974260 36653958 36737976 37012140 37209321 37330524 37572930 37687320 38011512 38178945 38258340 38295180 38587444 38862747 38875410 38964520 39571686 39986136 39996990 40171257 40726620 41330223 41343690 41478360 42084174 42398235 42721813 42762951 42860972 43169112 43180830 43633080 43835085 43968540 44414568 44634730 45087516 45478059 45910008 45922470 45954216 46252620 46650492 46663155 47106360 47514390 47996388 48234305 48871944 49098203 49612428 49982670 50097240 50145480 50877882 50905260 51648759 51816996 51833880 52602102 52762248 53329320 53561676 53576215 53961390 54980937 55106964 55124920 55518210 55995786 56112232 56359395 56530980 57017268 57387510 57442770 57574440 57881166 58313115 58446780 59357529 59995485 60637412 61086312 61089930 61229960 62015535 62217540 63126261 63352520 64291458 64753668 64771245 65952810 66643560 66952095 67631274 67837176 68865012 68883705 69975738 70136136 70140290 70659540 71271585 71948520 73307916 74024280 74418642 74661048 75145860 75796765 76357890 76516680 76590360 77174888 77725494 77750820 78903153 79143372 79993980 80342514 80942085 81453240 82660446 82687380 83993679 84168348 84796470 85443626 85525902 85721944 86081265 86361660 86821749 87670170 87937080 89269460 90175032 90956118 91634895 91844940 92505240 93300984 93326310 95028780 95992776 96437187 96468610 98196406 98929215 99224856 99965340 101755764 101810520 103297518 103633992 105204204 105210435 106115471 107123352 107152430 107922780 109961874 110213928 111036420 111627963 111991572 112718790 113061960 114034536 114775020 114885540 115762332 116626230 116893560 118715058 119990970 120513771 121274824 122179860 123990669 124031070 124435080 126252522 127194705 128165439 128288853 128582916 129507336 129542490 131505255 131905620 133904190 135262548 136434177 137730024 137767410 139951476 139989465 140280580 141319080 142543170 144702915 146615832 147294609 148837284 150291720 151593530 152715780 154946277 155450988 155501640 157806306 158286744 159987960 160685028 160728645 161884170 165320892 165374760 167987358 168336696 169078185 169592940 170887252 171051804 172162530 172723320 173643498 174939345 175340340 178072587 178538920 181912236 183269790 183689880 186046605 186652620 189378783 190057560 192874374 192937220 194313735 196392812 197858430 199930680 200856285 203511528 206595036 206651115 210408408 210420870 212230942 213609065 213814755 214304860 215845560 219923748 222072840 223255926 223983144 225437580 227390295 229550040 229771080 231524664 233252460 236709459 237430116 239981940 241027542 244359720 245491015 247981338 248062140 252505044 254389410 256330878 256577706 257165832 258243795 259084980 260465247 263010510 263811240 267808380 270525096 272868354 274904685 275534820 279902952 279978930 280561160 285086340 289311561 289405830 294589218 296787645 297674568 299052691 303187060 305431560 309892554 310901976 315612612 315631305 318346413 321370056 321457290 323768340 330641784 334883889 335974716 338156370 339185880 341774504 342103608 344325060 347286996 349878690 350680680 356145174 361541313 363824472 366539580 371972007 372093210 373305240 378757566 384496317 384866559 385748748 385874440 388627470 392785624 394515765 395716860 401712570 409302531 413190072 413302230 419968395 420841740 424461884 427218130 427629510 428609720 434108745 439847496 441883827 446511852 450875160 454780590 466504920 469939943 473418918 474860232 479963880 482055084 482185935 490982030 495962676 496124280 505010088 508778820 512661756 513155412 516487590 518169960 520930494 526021020 530577355 535616760 545736708 549809370 551069640 558139815 559957860 568136349 570172680 578623122 578811660 589178436 593575290 598105382 602568855 606374120 619785108 619953345 631225224 631262610 636692826 640827195 641444265 642914580 647536680 669767778 671949432 676312740 682170885 688650120 694573992 699757380 712290348 723082626 733079160 736473045 743944014 744186420 757515132 768992634 769733118 771497496 774731385 777254940 781395741 789031530 791433720 803425140 818605062 826604460 839936790 841683480 848923768 854436260 855259020 867934683 868217490 883767654 890362935 893023704 897158073 909561180 939879886 946837836 946893915 955039239 964110168 964371870 981964060 991925352 1017557640 1025323512 1026310824 1032975180 1041860988 1052042040 1061154710 1084623939 1091473416 1099618740 1116279630 1119915720 1136272698 1153488951 1157246244 1157623320 1178356872 1183547295 1187150580 1196210764 1205137710 1227907593 1239570216 1239906690 1262525220 1273385652 1281654390 1282888530 1285829160 1302326235 1325651481 1339535556 1352625480 1364341770 1399514760 1409819829 1424580696 1446165252 1446557805 1472946090 1487888028 1488372840 1495263455 1515030264 1537985268 1539466236 1549462770 1554509880 1562791482 1578063060 1591732065 1606850280 1637210124 1653208920 1674419445 1679873580 1704409047 1708872520 1710518040 1735869366 1736434980 1767535308 1780725870 1794316146 1807706565 1819122360 1859860035 1879759772 1893675672 1893787830 1910078478 1922481585 1924332795 1928743740 1963928120 2046512655 2065950360 2083721976 2122309420 2169247878 2199237480 2209419135 2232559260 2272545396 2306977902 2314492488 2344187223 2349699715 2367094590 2374301160 2392421528 2410275420 2455815186 2479813380 2525050440 2546771304 2563308780 2565777060 2603804049 2604652470 2651302962 2679071112 2691474219 2728683540 2819639658 2840681745 2865117717 2892330504 2893115610 2945892180 2975776056 2990526910 3075970536 3078932472 3098925540 3125582964 3156126120 3183464130 3274420248 3289579601 3348838890 3359747160 3408818094 3460466853 3471738732 3472869960 3535070616 3561451740 3588632292 3615413130 3683722779 3719720070 3759519544 3787575660 3820156956 3844963170 3848665590 3857487480 3906978705 3976954443 4093025310 4229459487 4244618840 4338495756 4339673415 4418838270 4465118520 4485790365 4545090792 4613955804 4688374446 4699399430 4734189180 4775196195 4820550840 4911630372 4959626760 5126617560 5131554120 5207608098 5209304940 5302605924 5382948438 5423119695 5457367080 5639279316 5681363490 5730235434 5767444755 5786231220 5891784360 5981053820 6139537965 6197851080 6251165928 6366928260 6579159202 6628257405 6697677780 6817636188 6920933706 6943477464 7049099145 7122903480 7177264584 7230826260 7367445558 7439440140 7575151320 7640313912 7689926340 7697331180 7813957410 7953908886 8074422657 8186050620 8458918974 8522045235 8595353151 8676991512 8679346830 8837676540 8971580730 9227911608 9376748892 9398798860 9468378360 9550392390 9823260744 9868738803 10381400559 10415216196 10418609880 10605211848 10765896876 10846239390 11278558632 11362726980 11460470868 11534889510 11572462440 11720936115 11930863329 11962107640 12279075930 12688378461 12733856520 13019020245 13158318404 13256514810 13395355560 13457371095 13635272376 13841867412 14098198290 14325588585 14461652520 14734891116 14878880280 15379852680 15394662360 15627914820 15907817772 16148845314 16372101240 16447898005 16917837948 17044090470 17190706302 17302334265 17358693660 17675353080 17943161460 18418613895 18753497784 18797597720 19100784780 19737477606 19884772215 20762801118 20830432392 21147297435 21531793752 21692478780 22725453960 22920941736 23069779020 23441872230 23861726658 24223267971 24558151860 25376756922 25786059453 26038040490 26316636808 26513029620 26914742190 27683734824 28196396580 28651177170 29469782232 29606216409 31255829640 31815635544 32297690628 32895796010 33835675896 34088180940 34381412604 34604668530 34717387320 35886322920 36837227790 38065135383 38201569560 39474955212 39769544430 40372113285 41525602236 42294594870 42976765755 43384957560 46139558040 46883744460 47723453316 48446535942 49116303720 49343694015 50753513844 51572118906 51907002795 52076080980 53026059240 53829484380 56392793160 57302354340 59212432818 59654316645 63441892305 64595381256 65791592020 68176361880 68762825208 69209337060 72669803913 73674455580 76130270766 78949910424 79539088860 80744226570 83051204472 84589189740 85953531510 88818649227 93767488920 95446906632 96893071884 98687388030 101507027688 103144237812 103814005590 104152161960 107658968760 114195406149 114604708680 118424865636 119308633290 121116339855 126883784610 128930297265 131583184040 138418674120 145339607826 147348911160 148031082045 152260541532 159078177720 161488453140 169178379480 171907063020 177637298454 190325676915 193786143768 197374776060 206288475624 207628011180 228390812298 236849731272 238617266580 242232679710 253767569220 257860594530 266455947681 290679215652 296062164090 304521083064 322976906280 343814126040 355274596908 363349019565 380651353830 394749552120 415256022360 444093246135 456781624596 477234533160 484465359420 507535138440 515721189060 532911895362 570977030745 581358431304 592124328180 710549193816 726698039130 761302707660 799367843043 888186492270 913563249192 968930718840 1031442378120 1065823790724 1141954061490 1184248656360 1332279738405 1453396078260 1522605415320 1598735686086 1776372984540 2131647581448 2283908122980 2664559476810 2906792156520 3197471372172 3552745969080 3996839215215 4567816245960 5329118953620 6394942744344 7993678430430 10658237907240 15987356860860 31974713721720
- Sum of all divisors σ(n): 141252079288320
- Sum of proper divisors (its aliquot sum) s(n): 109277365566600
- 31974713721720 is an abundant number, because the sum of its proper divisors (109277365566600) is greater than itself. Its abundance is 77302651844880
Bases of 31974713721720
- Binary: 1110100010100101100010111010000000011011110002
- Hexadecimal: 0x1D14B1740378
- Base-36: BC0ZAZJI0
Squares and roots of 31974713721720
- 31974713721720 squared (319747137217202) is 1022382317585949253599758400
- 31974713721720 cubed (319747137217203) is 32690381918959346464547787017356832448000
-
The
square root of 31974713721720 is 5654618.7954379383 -
The
cube root of 31974713721720 is 31739.6564472661
Scales and comparisons
How big is 31974713721720?- 31,974,713,721,720 seconds is equal to 1,016,696 years, 51 weeks, 4 days, 2 hours, 42 minutes.
-
To count from 1 to 31,974,713,721,720 would take you about two million, five hundred forty-one thousand, seven hundred forty-two 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 31974713721720 cubic inches would be around 2645 feet tall.
Recreational maths with 31974713721720
- 31974713721720 backwards is 02712731747913
- 31974713721720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31974713721720's digits is 54
- 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 31974713721720 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 31974713721720 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/31974713721720/
Chicago style:
Numbermatics. 2024. "Number 31974713721720 - Facts about the integer". https://numbermatics.com/n/31974713721720/
The information we have on file for 31974713721720 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 31974713721720, math, Factors of 31974713721720, curriculum, school, college, exams, university, Prime factorization of 31974713721720, STEM, science, technology, engineering, physics, economics, calculator, thirty-one trillion, nine hundred seventy-four billion, seven hundred thirteen million, seven hundred twenty-one thousand, seven hundred twenty.