16828871364646535168
16,828,871,364,646,535,168 is an even composite number composed of four prime numbers multiplied together.
16828871364646535168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 16828871364646535168:
223 × 134 × 174 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 17 × 17 × 17 × 17 × 29 × 29)See below for interesting mathematical facts about the number 16828871364646535168 from the Numbermatics database.
Names of 16828871364646535168
- Cardinal: 16828871364646535168 can be written as Sixteen quintillion, eight hundred twenty-eight quadrillion, eight hundred seventy-one trillion, three hundred sixty-four billion, six hundred forty-six million, five hundred thirty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.6828871364646535168 × 1019
Factors of 16828871364646535168
Divisors of 16828871364646535168
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 128 136 169 208 221 232 256 272 289 338 377 416 442 464 493 512 544 578 676 754 832 841 884 928 986 1024 1088 1156 1352 1508 1664 1682 1768 1856 1972 2048 2176 2197 2312 2704 2873 3016 3328 3364 3536 3712 3757 3944 4096 4352 4394 4624 4901 4913 5408 5746 6032 6409 6656 6728 7072 7424 7514 7888 8192 8381 8704 8788 9248 9802 9826 10816 10933 11492 12064 12818 13312 13456 14144 14297 14848 15028 15776 16384 16762 17408 17576 18496 19604 19652 21632 21866 22984 24128 25636 26624 26912 28288 28561 28594 29696 30056 31552 32768 33524 34816 35152 36992 37349 39208 39304 43264 43732 45968 48256 48841 51272 53248 53824 56576 57122 57188 59392 60112 63104 63713 63869 65536 67048 69632 70304 73984 74698 78416 78608 83317 83521 86528 87464 91936 96512 97682 102544 106496 107648 108953 113152 114244 114376 118784 120224 126208 127426 127738 131072 134096 139264 140608 142129 142477 147968 149396 156832 157216 166634 167042 173056 174928 183872 185861 193024 195364 205088 212992 215296 217906 226304 228488 228752 237568 240448 243049 252416 254852 255476 262144 268192 278528 281216 284258 284954 295936 298792 313664 314432 333268 334084 346112 349856 367744 371722 386048 390728 410176 425984 430592 435812 452608 456976 457504 475136 480896 485537 486098 504832 509704 510952 524288 536384 557056 562432 568516 569908 591872 597584 627328 628864 634933 666536 668168 692224 699712 735488 743444 772096 781456 820352 828269 830297 851968 861184 871624 905216 913952 915008 950272 961792 971074 972196 1009664 1019408 1021904 1048576 1072768 1083121 1085773 1114112 1124864 1137032 1139816 1183744 1195168 1254656 1257728 1269866 1333072 1336336 1384448 1399424 1416389 1470976 1486888 1544192 1562912 1640704 1656538 1660594 1703936 1722368 1743248 1810432 1827904 1830016 1847677 1852201 1900544 1923584 1942148 1944392 2019328 2038816 2043808 2097152 2145536 2166242 2171546 2228224 2249728 2274064 2279632 2367488 2390336 2416193 2422109 2509312 2515456 2539732 2666144 2672672 2768896 2798848 2832778 2941952 2973776 3088384 3125824 3159637 3281408 3313076 3321188 3407872 3444736 3486496 3620864 3655808 3660032 3695354 3704402 3801088 3847168 3884296 3888784 4038656 4077632 4087616 4131833 4194304 4291072 4332484 4343092 4456448 4499456 4548128 4559264 4734976 4780672 4832386 4844218 5018624 5030912 5079464 5332288 5345344 5537792 5597696 5665556 5883904 5947552 6176768 6251648 6319274 6562816 6626152 6642376 6815744 6889472 6972992 7241728 7311616 7320064 7390708 7408804 7602176 7694336 7768592 7777568 8077312 8155264 8175232 8254129 8263666 8388608 8582144 8664968 8686184 8912896 8998912 9096256 9118528 9469952 9561344 9664772 9688436 10037248 10061824 10158928 10664576 10690688 10793861 11075584 11195392 11331112 11767808 11895104 12353536 12503296 12638548 13125632 13252304 13284752 13631488 13778944 13945984 14080573 14115049 14483456 14623232 14640128 14781416 14817608 15204352 15388672 15537184 15555136 16154624 16310528 16350464 16508258 16527332 17164288 17329936 17372368 17825792 17997824 18192512 18237056 18413057 18939904 19122688 19329544 19376872 20074496 20123648 20317856 21329152 21381376 21587722 22151168 22390784 22662224 23535616 23790208 24019801 24078613 24707072 25006592 25277096 26251264 26504608 26569504 27262976 27557888 27891968 28161146 28230098 28966912 29246464 29280256 29562832 29635216 30408704 30777344 31074368 31110272 31410509 31487417 32309248 32621056 32700928 33016516 33054664 34328576 34659872 34744736 35651584 35995648 36385024 36474112 36826114 37879808 38245376 38659088 38753744 40148992 40247296 40635712 41075281 42658304 42762752 43175444 44302336 44781568 45324448 47071232 47580416 48039602 48157226 49414144 50013184 50554192 52502528 53009216 53139008 53713829 54525952 55115776 55783936 56322292 56460196 57933824 58492928 58560512 59125664 59270432 60817408 61554688 62148736 62220544 62821018 62974834 64618496 65242112 65401856 66033032 66109328 68657152 69319744 69489472 70241161 71303168 71991296 72770048 72948224 73652228 75759616 76490752 77318176 77507488 80297984 80494592 81271424 82150562 85316608 85525504 86350888 88604672 89563136 90648896 94142464 95160832 96079204 96314452 98828288 100026368 101108384 105005056 106018432 106278016 107427658 109051904 110231552 111567872 112644584 112920392 115867648 116985856 117121024 118251328 118540864 121634816 123109376 124297472 124441088 125642036 125949668 129236992 130484224 130803712 132066064 132218656 137314304 138639488 138978944 140320193 140482322 142606336 143982592 145540096 145896448 147304456 151519232 152981504 154636352 155014976 160595968 160989184 162542848 164301124 170633216 171051008 172701776 177209344 179126272 181297792 183495637 188284928 190321664 192158408 192628904 197656576 200052736 202216768 210010112 212036864 212556032 214855316 220463104 223135744 225289168 225840784 231735296 233971712 234242048 236502656 237081728 239369741 243269632 246218752 248594944 248882176 251284072 251899336 258473984 260968448 261607424 264132128 264437312 274628608 277278976 277957888 280640386 280964644 287965184 291080192 291792896 294608912 303038464 305963008 309272704 310029952 313021969 321191936 321978368 325085696 328602248 341266432 342102016 345403552 354418688 358252544 362595584 366991274 376569856 380643328 384316816 385257808 395313152 400105472 404433536 408336617 409336421 420020224 424073728 425112064 429710632 440926208 446271488 450578336 451681568 463470592 467943424 468484096 473005312 474163456 478739482 492437504 497189888 497764352 502568144 503798672 516947968 521936896 523214848 528264256 528874624 533978653 549257216 554557952 555915776 561280772 561929288 575930368 582160384 583585792 589217824 606076928 611926016 618545408 620059904 626043938 642383872 643956736 650171392 657204496 682532864 684204032 690807104 698279777 708837376 716505088 725191168 733982548 753139712 761286656 768633632 770515616 790626304 800210944 808867072 816673234 818672842 840040448 848147456 850224128 859421264 881852416 892542976 901156672 903363136 913135093 926941184 935886848 936968192 946010624 948326912 957478964 984875008 994379776 995528704 1005136288 1007597344 1033895936 1043873792 1046429696 1056528512 1057749248 1067957306 1098514432 1109115904 1111831552 1122561544 1123858576 1151860736 1164320768 1167171584 1178435648 1212153856 1223852032 1237090816 1240119808 1252087876 1284767744 1287913472 1300342784 1314408992 1365065728 1368408064 1381614208 1396559554 1417674752 1433010176 1450382336 1467965096 1506279424 1522573312 1537267264 1541031232 1581252608 1600421888 1617734144 1633346468 1637345684 1680080896 1696294912 1700448256 1718842528 1763704832 1785085952 1802313344 1806726272 1826270186 1853882368 1871773696 1873936384 1892021248 1896653824 1914957928 1969750016 1988759552 1991057408 2010272576 2015194688 2067791872 2087747584 2092859392 2113057024 2115498496 2135914612 2197028864 2218231808 2223663104 2245123088 2247717152 2303721472 2328641536 2334343168 2356871296 2385443281 2424307712 2447704064 2474181632 2480239616 2504175752 2569535488 2575826944 2600685568 2628817984 2730131456 2736816128 2763228416 2793119108 2866020352 2900764672 2935930192 3012558848 3045146624 3074534528 3082062464 3162505216 3200843776 3235468288 3266692936 3274691368 3360161792 3392589824 3400896512 3437685056 3527409664 3570171904 3604626688 3613452544 3652540372 3743547392 3747872768 3784042496 3793307648 3829915856 3939500032 3977519104 3982114816 4020545152 4030389376 4069285597 4135583744 4175495168 4185718784 4226114048 4230996992 4271829224 4394057728 4436463616 4447326208 4490246176 4495434304 4607442944 4657283072 4668686336 4713742592 4770886562 4895408128 4948363264 4960479232 5008351504 5139070976 5151653888 5201371136 5257635968 5321373473 5460262912 5473632256 5526456832 5586238216 5732040704 5801529344 5871860384 6025117696 6090293248 6149069056 6164124928 6401687552 6470936576 6533385872 6549382736 6720323584 6785179648 6801793024 6875370112 6941722489 7054819328 7140343808 7209253376 7226905088 7305080744 7487094784 7495745536 7568084992 7586615296 7659831712 7879000064 7955038208 7964229632 8041090304 8060778752 8138571194 8350990336 8371437568 8452228096 8461993984 8543658448 8788115456 8872927232 8894652416 8980492352 8990868608 9077637101 9214885888 9314566144 9337372672 9427485184 9541773124 9790816256 9896726528 9920958464 10016703008 10278141952 10303307776 10402742272 10515271936 10642746946 10920525824 10947264512 11052913664 11172476432 11464081408 11603058688 11743720768 11870756209 12050235392 12180586496 12298138112 12328249856 12803375104 12941873152 13066771744 13098765472 13440647168 13570359296 13603586048 13750740224 13883444978 14280687616 14418506752 14453810176 14610161488 14974189568 14991491072 15136169984 15173230592 15319663424 15758000128 15910076416 15928459264 16082180608 16121557504 16277142388 16701980672 16742875136 16904456192 16923987968 17087316896 17576230912 17745854464 17789304832 17960984704 17981737216 18155274202 18429771776 18629132288 18674745344 18854970368 19083546248 19581632512 19793453056 19841916928 20033406016 20556283904 20606615552 20805484544 21030543872 21285493892 21841051648 21894529024 22105827328 22344952864 22928162816 23206117376 23487441536 23741512418 24100470784 24361172992 24596276224 24656499712 25606750208 25883746304 26133543488 26197530944 26881294336 27140718592 27207172096 27501480448 27766889956 28561375232 28837013504 28907620352 29220322976 29948379136 29982982144 30272339968 30346461184 30639326848 31516000256 31820152832 31856918528 32164361216 32243115008 32554284776 33403961344 33485750272 33808912384 33847975936 34174633792 35152461824 35491708928 35578609664 35921969408 35963474432 36310548404 37258264576 37349490688 37709940736 38167092496 39163265024 39586906112 39683833856 40066812032 41112567808 41213231104 41610969088 42061087744 42570987784 43682103296 43789058048 44211654656 44689905728 45856325632 46412234752 46974883072 47483024836 48722345984 49192552448 49312999424 51213500416 51767492608 52267086976 52395061888 53762588672 54281437184 54414344192 55002960896 55533779912 57122750464 57674027008 57815240704 58440645952 59896758272 59965964288 60544679936 60692922368 61278653696 63640305664 63713837056 64328722432 64486230016 65108569552 66807922688 66971500544 67617824768 67695951872 68349267584 69177855149 70304923648 70983417856 71157219328 71843938816 71926948864 72621096808 74516529152 74698981376 75419881472 76334184992 78326530048 79173812224 79367667712 80133624064 83221938176 84122175488 85141975568 87364206592 87578116096 88423309312 89379811456 91712651264 92824469504 93949766144 94966049672 97444691968 98385104896 98625998848 102427000832 103534985216 104534173952 104790123776 108562874368 108828688384 110005921792 111067559824 114245500928 115348054016 115630481408 116881291904 118009282313 119793516544 119931928576 121089359872 121385844736 122557307392 127280611328 127427674112 128657444864 128972460032 130217139104 133615845376 133943001088 135235649536 135391903744 136698535168 138355710298 141966835712 142314438656 143687877632 143853897728 145242193616 149033058304 149397962752 150839762944 152668369984 154319830717 156653060096 158347624448 158735335424 160267248128 166443876352 168244350976 170283951136 174728413184 175156232192 176846618624 178759622912 185648939008 187899532288 189932099344 194889383936 196770209792 197251997696 204854001664 207069970432 209068347904 209580247552 217125748736 217657376768 220011843584 222135119648 228491001856 230696108032 231260962816 233762583808 236018564626 239587033088 242178719744 242771689472 245114614784 254561222656 254855348224 257314889728 257944920064 260434278208 267231690752 267886002176 270471299072 270783807488 273397070336 276711420596 283933671424 284628877312 287375755264 287707795456 290484387232 298066116608 298795925504 301679525888 305336739968 308639661434 313306120192 316695248896 317470670848 320534496256 332887752704 336488701952 340567902272 349456826368 350312464384 353693237248 357519245824 371297878016 375799064576 379864198688 389778767872 393540419584 394503995392 409708003328 414139940864 418136695808 419160495104 434251497472 435314753536 440023687168 444270239296 456982003712 461392216064 462521925632 467525167616 472037129252 484357439488 485543378944 490229229568 509122445312 509710696448 514629779456 515889840128 520868556416 534463381504 535772004352 540942598144 541567614976 546794140672 553422841192 567867342848 569257754624 574751510528 575415590912 580968774464 596132233216 597591851008 603359051776 610673479936 617279322868 633390497792 634941341696 641068992512 665775505408 672977403904 681135804544 698913652736 700624928768 707386474496 715038491648 742595756032 751598129152 759728397376 779557535744 787080839168 789007990784 828279881728 836273391616 838320990208 868502994944 870629507072 880047374336 888540478592 913964007424 922784432128 925043851264 935050335232 944074258504 968714878976 971086757888 980458459136 1018244890624 1019421392896 1029259558912 1031779680256 1041737112832 1081885196288 1083135229952 1093588281344 1106845682384 1135734685696 1138515509248 1149503021056 1150831181824 1161937548928 1192264466432 1195183702016 1206718103552 1221346959872 1234558645736 1266780995584 1269882683392 1282137985024 1331551010816 1345954807808 1362271609088 1414772948992 1430076983296 1485191512064 1503196258304 1519456794752 1559115071488 1574161678336 1578015981568 1656559763456 1672546783232 1676641980416 1737005989888 1741259014144 1760094748672 1777080957184 1845568864256 1850087702528 1870100670464 1888148517008 1937429757952 1942173515776 1960916918272 2006157799321 2036489781248 2038842785792 2058519117824 2063559360512 2083474225664 2163770392576 2166270459904 2187176562688 2213691364768 2271469371392 2277031018496 2299006042112 2301662363648 2323875097856 2413436207104 2442693919744 2469117291472 2533561991168 2539765366784 2564275970048 2663102021632 2691909615616 2724543218176 2829545897984 2860153966592 2970383024128 3006392516608 3038913589504 3148323356672 3156031963136 3313119526912 3345093566464 3353283960832 3474011979776 3482518028288 3520189497344 3554161914368 3691137728512 3700175405056 3740201340928 3776297034016 3874859515904 3884347031552 3921833836544 4012315598642 4072979562496 4117038235648 4127118721024 4166948451328 4327540785152 4332540919808 4374353125376 4427382729536 4542938742784 4554062036992 4598012084224 4603324727296 4647750195712 4826872414208 4885387839488 4938234582944 5067123982336 5079530733568 5128551940096 5326204043264 5383819231232 5449086436352 5659091795968 5720307933184 5940766048256 6012785033216 6077827179008 6296646713344 6312063926272 6626239053824 6690187132928 6706567921664 6948023959552 6965036056576 7040378994688 7108323828736 7382275457024 7400350810112 7480402681856 7552594068032 7749719031808 7768694063104 7843667673088 8024631197284 8234076471296 8254237442048 8333896902656 8655081570304 8665081839616 8748706250752 8854765459072 9085877485568 9108124073984 9196024168448 9206649454592 9295500391424 9653744828416 9770775678976 9876469165888 10134247964672 10159061467136 10257103880192 10767638462464 10898172872704 11318183591936 11440615866368 11881532096512 12025570066432 12155654358016 12593293426688 12624127852544 13252478107648 13380374265856 13413135843328 14080757989376 14216647657472 14764550914048 14800701620224 14960805363712 15105188136064 15499438063616 15537388126208 15687335346176 16049262394568 16468152942592 16508474884096 16667793805312 17310163140608 17330163679232 17497412501504 17709530918144 18392048336896 18413298909184 18591000782848 19307489656832 19541551357952 19752938331776 20268495929344 20318122934272 20514207760384 21535276924928 21796345745408 22636367183872 22881231732736 24051140132864 24311308716032 25186586853376 25248255705088 26504956215296 26760748531712 26826271686656 28161515978752 28433295314944 29529101828096 29601403240448 29921610727424 30210376272128 31374670692352 32098524789136 32936305885184 33016949768192 33335587610624 34620326281216 34660327358464 34994825003008 35419061836288 36784096673792 36826597818368 37182001565696 38614979313664 39083102715904 39505876663552 41028415520768 43070553849856 43592691490816 45272734367744 45762463465472 48102280265728 48622617432064 50373173706752 50496511410176 53521497063424 53652543373312 56323031957504 56866590629888 59058203656192 59202806480896 59843221454848 60420752544256 62749341384704 64197049578272 65872611770368 66033899536384 66671175221248 69240652562432 69989650006016 70838123672576 73568193347584 73653195636736 74364003131392 77229958627328 78166205431808 79011753327104 82056831041536 86141107699712 87185382981632 90545468735488 91524926930944 96204560531456 97245234864128 100746347413504 100993022820352 107042994126848 107305086746624 112646063915008 113733181259776 118116407312384 118405612961792 119686442909696 120841505088512 125498682769408 128394099156544 131745223540736 132067799072768 133342350442496 139979300012032 141676247345152 147136386695168 147306391273472 148728006262784 154459917254656 156332410863616 158023506654208 164113662083072 172282215399424 174370765963264 183049853861888 192409121062912 194490469728256 201492694827008 201986045640704 214085988253696 214610173493248 225292127830016 227466362519552 239372885819392 241683010177024 250997365538816 256788198313088 263490447081472 264135598145536 266684700884992 279958600024064 283352494690304 294272773390336 294612782546944 297456012525568 312664821727232 316047013308416 328227324166144 344564430798848 348741531926528 366099707723776 384818242125824 388980939456512 428171976507392 429220346986496 450584255660032 454932725039104 478745771638784 483366020354048 501994731077632 513576396626176 533369401769984 559917200048128 566704989380608 588545546780672 589225565093888 594912025051136 625329643454464 632094026616832 656454648332288 697483063853056 732199415447552 769636484251648 777961878913024 856343953014784 858440693972992 909865450078208 957491543277568 966732040708096 1003989462155264 1027152793252352 1066738803539968 1119834400096256 1133409978761216 1177091093561344 1189824050102272 1250659286908928 1264188053233664 1312909296664576 1394966127706112 1464398830895104 1539272968503296 1555923757826048 1712687906029568 1716881387945984 1819730900156416 1914983086555136 1933464081416192 2007978924310528 2054305586504704 2133477607079936 2239668800192512 2266819957522432 2379648100204544 2501318573817856 2528376106467328 2625818593329152 2789932255412224 2928797661790208 3111847515652096 3425375812059136 3433762775891968 3639461800312832 3829966173110272 3866928162832384 4108611173009408 4266955214159872 4479337600385024 4533639915044864 4759296200409088 5002637147635712 5056752212934656 5579864510824448 5857595323580416 6223695031304192 7278923600625664 7659932346220544 7733856325664768 8217222346018816 8533910428319744 9067279830089728 9518592400818176 10005274295271424 10113504425869312 11159729021648896 12447390062608384 14557847201251328 15467712651329536 16434444692037632 17067820856639488 18134559660179456 19037184801636352 20010548590542848 20227008851738624 22319458043297792 24894780125216768 29115694402502656 30935425302659072 32868889384075264 34135641713278976 36269119320358912 38074369603272704 40454017703477248 44638916086595584 49789560250433536 58231388805005312 61870850605318144 65737778768150528 72538238640717824 76148739206545408 80908035406954496 99579120500867072 123741701210636288 131475557536301056 145076477281435648 161816070813908992 247483402421272576 262951115072602112 290152954562871296 323632141627817984 494966804842545152 525902230145204224 580305909125742592 647264283255635968 989933609685090304 1051804460290408448 1294528566511271936 2103608920580816896 4207217841161633792 8414435682323267584 16828871364646535168
- Sum of all divisors σ(n): 40123304085049923465
- Sum of proper divisors (its aliquot sum) s(n): 23294432720403388297
- 16828871364646535168 is an abundant number, because the sum of its proper divisors (23294432720403388297) is greater than itself. Its abundance is 6465561355756853129
Bases of 16828871364646535168
- Binary: 11101001100011000010100101010111110011001000000000000000000000002
- Hexadecimal: 0xE98C2957CC800000
- Base-36: 3JUVT0O6G51Q8
Squares and roots of 16828871364646535168
- 16828871364646535168 squared (168288713646465351682) is 283210911407820134845566266027460788224
- 16828871364646535168 cubed (168288713646465351683) is 4766119997146511007151656804110101736436939070863816261632
-
The
square root of 16828871364646535168 is 4102300740.3951426009 -
The
cube root of 16828871364646535168 is 2562624.6358869525
Scales and comparisons
How big is 16828871364646535168?- 16,828,871,364,646,535,168 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 16,828,871,364,646,535,168 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 16828871364646535168 cubic inches would be around 213552.1 feet tall.
Recreational maths with 16828871364646535168
- 16828871364646535168 backwards is 86153564646317882861
- The number of decimal digits it has is: 20
- The sum of 16828871364646535168's digits is 98
- 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 16828871364646535168 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 16828871364646535168 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/16828871364646535168/
Chicago style:
Numbermatics. 2024. "Number 16828871364646535168 - Facts about the integer". https://numbermatics.com/n/16828871364646535168/
The information we have on file for 16828871364646535168 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 16828871364646535168, math, Factors of 16828871364646535168, curriculum, school, college, exams, university, Prime factorization of 16828871364646535168, STEM, science, technology, engineering, physics, economics, calculator, sixteen quintillion, eight hundred twenty-eight quadrillion, eight hundred seventy-one trillion, three hundred sixty-four billion, six hundred forty-six million, five hundred thirty-five thousand, one hundred sixty-eight.