13608901618515720
13,608,901,618,515,720 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13608901618515720 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
13608901618515720 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13608901618515720:
23 × 33 × 5 × 11 × 19 × 53 × 61 × 71 × 262657
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 53 × 61 × 71 × 262657)See below for interesting mathematical facts about the number 13608901618515720 from the Numbermatics database.
Names of 13608901618515720
- Cardinal: 13608901618515720 can be written as Thirteen quadrillion, six hundred eight trillion, nine hundred one billion, six hundred eighteen million, five hundred fifteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.360890161851572 × 1016
Factors of 13608901618515720
Divisors of 13608901618515720
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 27 30 33 36 38 40 44 45 53 54 55 57 60 61 66 71 72 76 88 90 95 99 106 108 110 114 120 122 132 135 142 152 159 165 171 180 183 190 198 209 212 213 216 220 228 244 264 265 270 284 285 297 305 318 330 342 355 360 366 380 396 418 424 426 440 456 477 488 495 513 530 540 549 568 570 583 594 610 627 636 639 660 671 684 710 732 760 781 792 795 836 852 855 915 954 990 1007 1026 1045 1060 1065 1080 1098 1140 1159 1166 1188 1220 1254 1272 1278 1320 1342 1349 1368 1420 1431 1464 1485 1562 1590 1647 1672 1704 1710 1749 1830 1881 1908 1917 1980 2013 2014 2052 2090 2120 2130 2196 2280 2318 2332 2343 2376 2385 2440 2508 2556 2565 2684 2698 2745 2840 2862 2915 2970 3021 3124 3135 3180 3195 3233 3294 3355 3420 3477 3498 3660 3762 3763 3816 3834 3905 3960 4026 4028 4047 4104 4180 4260 4331 4392 4636 4664 4686 4770 5016 5035 5112 5130 5247 5368 5396 5490 5643 5724 5795 5830 5940 6039 6042 6248 6270 6360 6390 6466 6588 6710 6745 6840 6954 6996 7029 7155 7320 7524 7526 7668 7810 8052 8056 8094 8235 8360 8520 8662 8745 9063 9272 9372 9405 9540 9585 9699 10065 10070 10260 10431 10494 10792 10980 11077 11286 11289 11448 11590 11660 11715 11880 12078 12084 12141 12540 12749 12780 12932 12993 13176 13420 13490 13908 13992 14058 14310 14839 15048 15052 15105 15336 15620 15741 16104 16165 16188 16470 17324 17385 17490 18117 18126 18744 18810 18815 19080 19170 19398 20130 20140 20235 20520 20862 20988 21087 21655 21960 22154 22572 22578 23180 23320 23430 24156 24168 24282 25080 25498 25560 25864 25986 26235 26840 26980 27189 27816 28116 28215 28620 29097 29678 30104 30195 30210 31240 31293 31482 32330 32376 32940 33231 33867 34648 34770 34980 35145 35563 36234 36252 36423 37620 37630 38247 38340 38796 38979 40260 40280 40470 41393 41724 41976 42174 43310 44308 44517 45144 45156 45315 46360 46860 47641 48312 48495 48564 50996 51972 52155 52470 53960 54378 55385 56232 56430 56445 57240 58194 59356 60390 60420 60705 61427 62586 62964 63745 64660 64965 65880 66462 67734 69540 69960 70290 71126 71497 72468 72504 72846 74195 75240 75260 76494 76680 77592 77958 78705 80520 80940 82289 82786 83448 84348 86620 87291 88616 89034 90312 90585 90630 93720 95282 96990 97128 99693 101601 101992 103944 104310 104940 105435 106689 108756 110770 112860 112890 114741 116388 116937 118712 120780 120840 121410 122854 124179 125172 125928 127490 129320 129930 132924 133551 135468 135945 139080 140580 142252 142923 142994 144936 145485 145692 148390 150520 152988 155916 156465 157410 161880 164578 165572 166155 168696 169335 173240 174582 177815 178068 181170 181260 182115 184281 190564 191235 193980 194895 199386 203202 206965 208620 209880 210870 213378 214491 217512 221540 222585 225720 225780 229482 229543 232776 233874 238205 241560 242820 245708 246867 248358 250344 254980 259860 262657 265848 267102 270936 271890 281160 284504 285846 285988 290970 291384 296780 299079 305976 307135 311832 312930 314820 320067 329156 331144 332310 338670 344223 349164 355630 356136 357485 362340 362520 364230 368562 372537 381128 382470 387960 389790 398772 400653 406404 411445 413930 417240 421740 426756 428769 428982 436455 443080 445170 451560 458964 459086 467748 476410 485640 491416 493734 496716 498465 508005 509960 519720 525314 533445 534204 543780 552843 571692 571976 573705 581940 584685 593560 598158 614270 620895 625860 629640 640134 643473 658312 664620 667755 675697 677340 688446 688629 698328 711260 714615 714970 724680 728460 737124 740601 745074 764940 779580 786467 787971 797544 801306 812808 822890 827860 843480 853512 857538 857964 872910 890340 905179 917928 918172 921405 935496 952820 960201 987468 993432 996930 1016010 1050628 1066890 1068408 1072455 1087560 1105686 1117611 1143384 1147410 1147715 1163880 1169370 1196316 1228540 1234335 1241790 1251720 1280268 1286307 1286946 1313285 1329240 1335510 1351394 1354680 1376892 1377258 1422520 1429230 1429940 1456920 1474248 1481202 1490148 1495395 1529880 1559160 1572934 1575942 1600335 1602612 1645780 1655720 1658529 1715076 1715928 1721115 1745820 1780680 1810358 1836344 1842810 1862685 1905640 1920402 1930419 1974936 1993860 2003265 2027091 2032020 2065887 2101256 2133780 2143845 2144910 2211372 2221803 2235222 2294820 2295430 2338740 2359401 2363913 2392632 2457080 2468670 2483580 2524973 2560536 2572614 2573892 2626570 2671020 2702788 2715537 2753784 2754516 2764215 2858460 2859880 2889227 2962404 2980296 2990790 3145868 3151884 3200670 3205224 3217365 3291560 3317058 3378485 3430152 3442230 3443145 3491640 3620716 3685620 3703005 3725370 3840804 3860838 3932335 3939855 3987720 4006530 4054182 4064040 4131774 4267560 4287690 4289820 4361317 4422744 4443606 4470444 4525895 4589640 4590860 4677480 4718802 4727826 4801005 4937340 4967160 4990483 5049946 5145228 5147784 5253140 5342040 5405576 5431074 5509032 5528430 5588055 5716920 5778454 5924808 5981580 6081273 6197661 6291736 6303768 6401340 6431535 6434730 6634116 6756970 6884460 6886290 7078203 7091739 7241432 7371240 7406010 7450740 7574919 7681608 7721676 7864670 7879710 8013060 8108364 8146611 8263548 8292645 8575380 8579640 8667681 8722634 8887212 8940888 9051790 9181720 9437604 9455652 9602010 9652095 9874680 9980966 10099892 10135455 10290456 10329435 10506280 10862148 11056860 11109015 11176110 11556908 11797005 11819565 11963160 12162546 12395322 12624865 12802680 12863070 12869460 13083951 13268232 13513940 13577685 13768920 13772580 13920821 14156406 14183478 14446135 14812020 14901480 14971449 15149838 15443352 15729340 15759420 16022077 16026120 16216728 16293222 16527096 16585290 17150760 17335362 17445268 17774424 18103580 18243819 18648647 18875208 18911304 19204020 19304190 19961932 20199784 20270910 20658870 21234609 21724296 21806585 22113720 22218030 22352220 22724757 23113816 23594010 23639130 24325092 24439833 24790644 24952415 25249730 25726140 25738920 26003043 26167902 27027880 27155370 27545160 27841642 28312812 28366956 28892270 29624040 29942898 30299676 30406365 30988305 31458680 31518840 32044154 32586444 33170580 34670724 34890536 35391015 35458695 36207160 36487638 37297294 37874595 38408040 38608380 39251853 39923864 40541820 40733055 41317740 41762463 42469218 43338405 43613170 44436060 44704440 44914347 45449514 47188020 47278260 47974487 48066231 48650184 48879666 49581288 49904830 50499460 51452280 52006086 52335804 54310740 54895313 55683284 55945941 56625624 56733912 57784540 59885796 60599352 60812730 61976610 64088308 65172888 65419755 66341160 68174271 69341448 69604105 70782030 70917390 72975276 74594588 74857245 75749190 77216760 78009129 78503706 80110385 81083640 81466110 82635480 83524926 84938436 86676810 87226340 88872120 89828694 90899028 91219095 93243235 94376040 94556520 95948974 96132462 97759332 99809660 100998920 104012172 104671608 106173045 108621480 109790626 111366568 111891882 113623785 115569080 117755559 119771592 121625460 122199165 123953220 125287389 128176616 130015215 130839510 134743041 136348542 139208210 141564060 141834780 143923461 144198693 145950552 149189176 149714490 151498380 153129031 156018258 157007412 160220770 162932220 164685939 167049852 167837823 169876872 173353620 174452680 176242847 179657388 181798056 182438190 186486470 191897948 192264924 195518664 196259265 199619320 205135117 208024344 208812315 212346090 219581252 223783764 224571735 227247570 235511118 239872435 240331155 243250920 244398330 247906440 250574778 260030430 261679020 264495599 269486082 272697084 274476565 278416420 279729705 283128120 283669560 287846922 288397386 299428980 302996760 304419463 306258062 312036516 314014824 320441540 325864440 329371878 334099704 335675646 340871355 346707240 352485694 354324293 359314776 364876380 372972940 375862167 383795896 384529848 390045645 392518530 410270234 417624630 424692180 431770383 432596079 439162504 447567528 449143470 454495140 459387093 471022236 479744870 480662310 488796660 494057817 501149556 503513469 520060860 523358040 528728541 528991198 538972164 545394168 548953130 556832840 559459410 575693844 576794772 588777795 598857960 608838926 612516124 615405351 624073032 626436945 640883080 658743756 671351292 673715205 681742710 704971388 708648586 719617305 720993465 729752760 745945880 751724334 765645155 780091290 785037060 793486797 820540468 823429695 835249260 839189115 849170081 849384360 863540766 865192158 881214235 898286940 908990280 913258389 918774186 942044472 959489740 961324620 977593320 988115634 988378291 1002299112 1007026938 1025675585 1040121720 1057457082 1057982396 1062972879 1077944328 1097906260 1118918820 1137567467 1151387688 1153589544 1177555590 1217677852 1225032248 1230810702 1252873890 1295311149 1317487512 1322477995 1342702584 1347430410 1363485420 1378161279 1409942776 1417297172 1439234610 1441986930 1482173451 1503448668 1522097315 1531290310 1560182580 1570074120 1586185623 1586973594 1641080936 1646859390 1670498520 1678378230 1698340162 1727081532 1730384316 1762428470 1771621465 1796573880 1826516778 1837548372 1846216053 1879310835 1918979480 1922649240 1976231268 1976756582 2014053876 2051351170 2114914164 2115964792 2125945758 2158851915 2162980395 2195812520 2237837640 2275134934 2296935465 2355111180 2380460391 2435355704 2461621404 2470289085 2505747780 2517567345 2547510243 2590622298 2643642705 2644955990 2694860820 2726970840 2739775167 2756322558 2834594344 2878469220 2883973860 2909451589 2964346902 2965134873 3006897336 3044194630 3062580620 3077026755 3120365160 3172371246 3173947188 3188918637 3293718780 3348614093 3356756460 3396680324 3412702401 3454163064 3460768632 3524856940 3543242930 3653033556 3675096744 3692432106 3758621670 3897567223 3952462536 3953513164 3967433985 4028107752 4102702340 4134483837 4229828328 4245850405 4251891516 4317703830 4325960790 4550269868 4566291945 4593870930 4710222360 4758556869 4760920782 4923242808 4940578170 4941891455 5011495560 5035134690 5095020486 5181244596 5287285410 5289911980 5314864395 5389721640 5479550334 5512645116 5538648159 5687837335 5756938440 5767947720 5818903178 5928693804 5930269746 6088389260 6125161240 6154053510 6344742492 6347894376 6377837274 6476555745 6587437560 6697228186 6713512920 6793360648 6825404802 6890806395 7049713880 7086485860 7141381173 7306067112 7384864212 7410867255 7517243340 7642530729 7795134446 7907026328 7930928115 7934867970 8205404680 8219325501 8268967674 8491700810 8503783032 8635407660 8651921580 8728354767 8895404619 9100539736 9132583890 9187741860 9231080265 9340870891 9517113738 9521841564 9566755911 9881156340 9883782910 10045842279 10070269380 10190040972 10238107203 10362489192 10574570820 10579823960 10629728790 10872161201 10959100668 11025290232 11077296318 11375674670 11637806356 11692701669 11857387608 11860539492 11902301955 12176778520 12308107020 12513242137 12689484984 12737551215 12755674548 12953111490 13394456372 13650809604 13698875835 13781612790 14172971720 14282762346 14547257945 14769728424 14821734510 14825674365 15034486680 15285061458 15590268892 15861856230 15869735940 15944593185 16134231539 16438651002 16537935348 16743070465 16983401620 17063512005 17270815320 17303843160 17456709534 17790809238 18265167780 18375483720 18462160530 18681741782 18779187529 19034227476 19043683128 19133511822 19487836115 19762312680 19767565820 20091684558 20140538760 20380081944 20476214406 20672419185 21149141640 21259457580 21613781873 21744322402 21918201336 22154592636 22751349340 22927592187 23275612712 23385403338 23721078984 23792784345 23804603910 24616214040 25026484274 25475102430 25511349096 25906222980 26185064301 26686213857 26788912744 27301619208 27397751670 27563225580 27693240795 28022612673 28565524692 29094515890 29643469020 29651348730 30137526837 30570122916 30714321609 31180537784 31723712460 31739471880 31889186370 32268463078 32616483603 32877302004 33075870696 33486140930 33966803240 34127024010 34913419068 35078105007 35581618476 35706905865 36530335560 36924321060 37363483564 37539726411 37558375058 38068454952 38212653645 38267023644 38975672230 39535131640 40183369116 40952428812 41096627505 41344838370 42518915160 43227563746 43488644804 43641773835 44309185272 44477023095 45502698680 45855184374 46704354455 46770806676 47585568690 47609207820 47833779555 48402694617 50052968548 50229211395 50950204860 51190536015 51812445960 52370128602 53372427714 54360806005 54795503340 55126451160 55386481590 56045225346 56337562587 57131049384 58189031780 58463508345 59286938040 59302697460 60275053674 60291075751 61140245832 61428643218 62566210685 63447424920 63778372740 64536926156 64841345619 65232967206 65754604008 66972281860 68254048020 69826838136 70156210014 71163236952 71413811730 73848642120 74726967128 75079452822 75116750116 76425307290 76534047288 77951344460 78555192903 80366738232 80671157695 81904857624 82193255010 82689676740 84067838019 86455127492 86977289608 87283547670 88954046190 90412580511 91710368748 93408708910 93541613352 93895937645 95171137380 95218415640 95667559110 96805389234 97849450809 100105937096 100458422790 101900409720 102381072030 104740257204 105234315021 106744855428 108068909365 108721612010 109591006680 110772963180 112090450692 112619179233 112675125174 114637960935 116378063560 116927016690 118605394920 120550107348 120582151502 122857286436 125132421370 127556745480 129073852312 129682691238 130465934412 130925321505 133431069285 133944563720 136508096040 140113063365 140312420028 142827623460 145208083851 150158905644 150233500232 150687634185 152850614580 153571608045 155902688920 157110385806 161342315390 163082418015 164386510020 165379353480 168135676038 169012687761 172910254984 174567095340 175390525035 177476546929 177908092380 180825161022 180873227253 183420737496 186817417820 187698632055 187791875290 190342274760 191335118220 193610778468 194524036857 195698901618 200916845580 204762144060 206571062819 209480514408 210468630042 213489710856 216137818730 217443224020 221545926360 224180901384 225238358466 225350250348 229275921870 233854033380 237751600603 241100214696 241164303004 242013473085 245714572872 250264842740 252203514057 259365382476 260931868824 261850643010 266862138570 280226126730 280624840056 281687812935 285655246920 290416167702 293548352427 300317811288 301375268370 301455378755 305701229160 307143216090 314220771612 322684630780 324206728095 326164836030 328773020040 336271352076 337857537699 338025375522 349134190680 350781050070 354953093858 355816184760 361650322044 361746454506 373634835640 375397264110 375583750580 382670236440 387221556936 389048073714 391397803236 392775964515 401833691160 409524288120 413142125638 420339190095 420937260084 432275637460 434886448040 435624251553 450476716932 450700500696 452062902555 458551843740 467708066760 475503201206 482328606008 484026946170 489247254045 500529685480 504407028114 507038063283 518730764952 523701286020 526171575105 532429640787 533724277140 542619681759 560452253460 563095896165 563375625870 580832335404 583572110571 587096704854 602750536740 602910757510 614286432180 619713188457 628441543224 645369261560 648413456190 652329672060 663201833261 672542704152 675715075398 676050751044 701562100140 709906187716 713254801809 723300644088 723492909012 726040419255 750794528220 751167501160 778096147428 782795606472 785551929030 826284251276 840678380190 841874520168 845063438805 864551274920 871248503106 887382734645 900953433864 904125805110 904366136265 917103687480 951006402412 968053892340 972620184285 978494508090 1008814056228 1014076126566 1032855314095 1047402572040 1052343150210 1064859281574 1067448554280 1085239363518 1120904506920 1126191792330 1126751251740 1145530439269 1161664670808 1167144221142 1174193409708 1188758003015 1205501073480 1205821515020 1228572864360 1239426376914 1261017570285 1296826912380 1304659344120 1326403666522 1351430150796 1352101502088 1403124200280 1419812375432 1426509603618 1446985818024 1452080838510 1467741762135 1501589056440 1556192294856 1571103858060 1597288922361 1627859045277 1652568502552 1681356760380 1689287688495 1690126877610 1742497006212 1774765469290 1808251610220 1808732272530 1859139565371 1902012804824 1936107784680 1945240368570 1956989016180 1989605499783 2017628112456 2028152253132 2065710628190 2104686300420 2129718563148 2139764405427 2170478727036 2178121257765 2252383584660 2253502503480 2291060878538 2334288442284 2348386819416 2377516006030 2411643030040 2478852753828 2522035140570 2535190316415 2593653824760 2652807333044 2662148203935 2702860301592 2713098408795 2853019207236 2904161677020 2917860552855 2935483524270 3098565942285 3142207716120 3194577844722 3255718090554 3316009166305 3362713520760 3378575376990 3380253755220 3436591317807 3484994012424 3549530938580 3566274009045 3616503220440 3617464545060 3718279130742 3890480737140 3913978032360 3979210999566 4056304506264 4131421256380 4209372600840 4259437126296 4279528810854 4340957454072 4356242515530 4504767169320 4582121757076 4668576884568 4755032012060 4791866767083 4957705507656 5044070281140 5070380632830 5305614666088 5324296407870 5426196817590 5577418696113 5706038414472 5727652196345 5808323354040 5835721105710 5870967048540 5968816499349 6197131884570 6389155689444 6419293216281 6511436181108 6632018332610 6757150753980 6760507510440 6873182635614 7099061877160 7132548018090 7234929090120 7436558261484 7780961474280 7958421999132 7986444611805 8139295226385 8262842512760 8559057621708 8712485031060 9164243514152 9295697826855 9510064024120 9583733534166 9948027498915 10088140562280 10140761265660 10309773953421 10648592815740 10698822027135 10852393635180 11154837392226 11455304392690 11671442211420 11741934097080 11937632998698 12394263769140 12600834831959 12778311378888 12838586432562 13022872362216 13264036665220 13514301507960 13746365271228 14265096036180 14873116522968 15916843998264 15972889223610 16278590452770 17118115243416 17182956589035 17424970062120 17906449498047 18591395653710 19167467068332 19896054997830 20281522531320 20619547906842 21297185631480 21397644054270 21704787270360 22309674784452 22910608785380 23342884422840 23875265997396 23959333835415 24788527538280 25201669663918 25677172865124 26528073330440 27492730542456 27887093480565 28530192072360 29844082496745 30929321860263 31945778447220 32096466081405 32557180905540 34365913178070 35812898996094 37182791307420 37802504495877 38334934136664 39792109995660 41239095813684 42795288108540 44619349568904 45821217570760 47750531994792 47918667670830 50403339327836 51354345730248 51548869767105 55774186961130 59688164993490 61858643720526 63004174159795 63891556894440 64192932162810 65114361811080 68731826356140 71625797992188 74365582614840 75605008991754 79584219991320 82478191627368 85590576217080 89532247490235 95837335341660 100806678655672 103097739534210 111548373922260 113407513487631 119376329986980 123717287441052 126008348319590 128385864325620 137463652712280 143251595984376 151210017983508 154646609301315 179064494980470 189012522479385 191674670683320 206195479068420 223096747844520 226815026975262 238752659973960 247434574882104 252016696639180 256771728651240 302420035967016 309293218602630 340222540462893 358128989960940 378025044958770 412390958136840 453630053950524 504033393278360 567037567438155 618586437205260 680445080925786 716257979921880 756050089917540 907260107901048 1134075134876310 1237172874410520 1360890161851572 1512100179835080 1701112702314465 2268150269752620 2721780323703144 3402225404628930 4536300539505240 6804450809257860 13608901618515720
- Sum of all divisors σ(n): 54704407836672000
- Sum of proper divisors (its aliquot sum) s(n): 41095506218156280
- 13608901618515720 is an abundant number, because the sum of its proper divisors (41095506218156280) is greater than itself. Its abundance is 27486604599640560
Bases of 13608901618515720
- Binary: 1100000101100100111001010100101100000100111111000010002
- Hexadecimal: 0x30593952C13F08
- Base-36: 3PZYB3G8J60
Squares and roots of 13608901618515720
- 13608901618515720 squared (136089016185157202) is 185202203262439783409135887118400
- 13608901618515720 cubed (136089016185157203) is 2520398563730894127330664375287218677275901248000
-
The
square root of 13608901618515720 is 116657197.0283690641 -
The
cube root of 13608901618515720 is 238748.7051257869
Scales and comparisons
How big is 13608901618515720?- 13,608,901,618,515,720 seconds is equal to 432,720,976 years, 19 weeks, 2 days, 11 hours, 42 minutes.
-
To count from 1 to 13,608,901,618,515,720 would take you about one billion, two hundred ninety-eight million, one hundred sixty-two thousand, nine hundred twenty-nine 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 13608901618515720 cubic inches would be around 19895.7 feet tall.
Recreational maths with 13608901618515720
- 13608901618515720 backwards is 02751581610980631
- The number of decimal digits it has is: 17
- The sum of 13608901618515720'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 13608901618515720 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 13608901618515720 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13608901618515720/
Chicago style:
Numbermatics. 2024. "Number 13608901618515720 - Facts about the integer". https://numbermatics.com/n/13608901618515720/
The information we have on file for 13608901618515720 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 13608901618515720, math, Factors of 13608901618515720, curriculum, school, college, exams, university, Prime factorization of 13608901618515720, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eight trillion, nine hundred one billion, six hundred eighteen million, five hundred fifteen thousand, seven hundred twenty.