14577282157795968
14,577,282,157,795,968 is an even composite number composed of nine prime numbers multiplied together.
14577282157795968 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 14577282157795968:
27 × 3 × 13 × 17 × 53 × 127 × 197 × 281 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 53 × 127 × 197 × 281 × 461)See below for interesting mathematical facts about the number 14577282157795968 from the Numbermatics database.
Names of 14577282157795968
- Cardinal: 14577282157795968 can be written as Fourteen quadrillion, five hundred seventy-seven trillion, two hundred eighty-two billion, one hundred fifty-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.4577282157795968 × 1016
Factors of 14577282157795968
Divisors of 14577282157795968
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 53 64 68 78 96 102 104 106 127 128 136 156 159 192 197 204 208 212 221 254 272 281 312 318 381 384 394 408 416 424 442 461 508 544 562 591 624 636 663 689 762 788 816 832 843 848 884 901 922 1016 1088 1124 1182 1248 1272 1326 1378 1383 1524 1576 1632 1651 1664 1686 1696 1768 1802 1844 2032 2067 2159 2176 2248 2364 2496 2544 2561 2652 2703 2756 2766 3048 3152 3264 3302 3349 3372 3392 3536 3604 3653 3688 4064 4134 4318 4496 4728 4777 4953 4992 5088 5122 5304 5406 5512 5532 5993 6096 6304 6477 6528 6604 6698 6731 6744 6784 7072 7208 7306 7376 7683 7837 8128 8268 8636 8992 9456 9554 9906 10047 10176 10244 10441 10608 10812 10959 11024 11064 11713 11986 12192 12608 12954 13208 13396 13462 13488 14144 14331 14416 14612 14752 14893 15366 15674 16256 16536 17272 17979 17984 18912 19108 19812 20094 20193 20352 20488 20882 21216 21624 21918 22048 22128 23426 23511 23972 24384 24433 25019 25216 25908 26416 26792 26924 26976 28067 28288 28662 28832 29224 29504 29786 30732 31323 31348 33072 34544 35139 35687 35958 35968 37824 38216 39624 40188 40386 40976 41764 42432 43248 43537 43836 44096 44256 44679 46852 47022 47944 48768 48866 50038 51816 52832 53584 53848 53952 55357 56134 57324 57664 58448 58547 59008 59572 61464 62101 62646 62696 66144 69088 70278 71374 71916 73299 75057 75648 76432 79248 80376 80772 81952 83528 84201 84864 86496 87074 87503 87672 88192 88512 89358 90817 93704 94044 95888 97732 100076 101881 103632 105664 107061 107168 107696 107904 110714 112268 114427 114648 115328 116896 117094 119144 122928 124202 125292 125392 129541 130611 132288 135733 138176 140556 142748 143832 146598 150114 152864 158496 160752 161544 163904 166071 167056 168402 172992 174148 175006 175344 175641 177024 177497 178716 181634 186303 187408 188088 191776 193609 195464 200152 203762 207264 211328 214122 214336 215392 221428 224536 228854 229296 233792 234188 238288 245856 248404 250584 250784 253181 259082 261222 262509 264576 271466 272451 276352 281112 285496 287664 293196 300228 305643 305728 316992 317629 321504 323088 325247 327808 332142 334112 336804 343281 345984 348296 350012 350688 351282 354994 357432 363268 372606 374816 376176 383552 387218 388623 390928 400304 407199 407524 414528 415361 425323 428244 428672 430784 442856 449072 457708 458592 463931 467584 468376 476576 491712 496808 501168 501568 506362 518164 522444 525018 532491 542932 544902 562224 570992 575328 580827 586392 600456 606679 611286 611456 633984 635258 643008 646176 650494 664284 668224 673608 686562 696592 700024 701376 702564 709988 714864 719641 726536 745212 749632 752352 759543 761111 767104 774436 777246 781856 800608 814398 815048 829056 830722 850646 856488 861568 885712 898144 915416 917184 927862 936752 941069 952887 953152 975741 983424 993616 995299 1002336 1003136 1012724 1036328 1044888 1050036 1064982 1085864 1089804 1124448 1141984 1150656 1161654 1172784 1180621 1200912 1213358 1222572 1246083 1270516 1275969 1286016 1292352 1300988 1326007 1328568 1336448 1347216 1373124 1391793 1393184 1400048 1402752 1405128 1419976 1429728 1439282 1453072 1487551 1490424 1499264 1504704 1519086 1522222 1543889 1548872 1554492 1563712 1601216 1628796 1630096 1661444 1684033 1701292 1712976 1771424 1796288 1820037 1830832 1834368 1855724 1873504 1882138 1891411 1905774 1906304 1951482 1987232 1990598 2004672 2025448 2072656 2089776 2100072 2129964 2158923 2171728 2179608 2202197 2248896 2283333 2283968 2301312 2307461 2323308 2345568 2361242 2401824 2426716 2445144 2492166 2541032 2551938 2584704 2601976 2652014 2657136 2694432 2746248 2783586 2786368 2800096 2810256 2823207 2839952 2859456 2878564 2906144 2933921 2975102 2980848 2985897 3009408 3038172 3044444 3087778 3097744 3102991 3108984 3127424 3202432 3257592 3260192 3291353 3322888 3368066 3402584 3425952 3541863 3542848 3592576 3640074 3661664 3711448 3747008 3764276 3782822 3811548 3902964 3974464 3978021 3981196 4009344 4050896 4145312 4179552 4200144 4259928 4317846 4343456 4359216 4404394 4462653 4497792 4566666 4567936 4614922 4631667 4646616 4691136 4722484 4803648 4813301 4853432 4890288 4984332 5052099 5082064 5103876 5203952 5304028 5314272 5388864 5399693 5492496 5529199 5567172 5572736 5600192 5620512 5646414 5674233 5679904 5718912 5757128 5812288 5867842 5950204 5961696 5971794 6076344 6088888 6175556 6195488 6205982 6217968 6515184 6520384 6582706 6606591 6645776 6736132 6805168 6851904 6865673 6922383 7030339 7083726 7085696 7280148 7323328 7422896 7494016 7528552 7565644 7623096 7805928 7886827 7948928 7956042 7962392 8101792 8290624 8359104 8400288 8519856 8635692 8686912 8718432 8801763 8808788 8925306 9133332 9229844 9263334 9293232 9308973 9382272 9444968 9607296 9626602 9706864 9780576 9874059 9968664 10104198 10164128 10207752 10407904 10608056 10628544 10777728 10799386 10984992 11058398 11134344 11200384 11241024 11292828 11348466 11359808 11514256 11533759 11624576 11735684 11900408 11923392 11943588 12152688 12177776 12233897 12351112 12390976 12411964 12435936 12938887 13030368 13040768 13165412 13213182 13291552 13472264 13610336 13703808 13731346 13844766 14060678 14167452 14439903 14560296 14646656 14845792 15057104 15131288 15246192 15611856 15773654 15912084 15924784 16199079 16203584 16451707 16581248 16587597 16718208 16800576 17039712 17238091 17271384 17373824 17436864 17603526 17617576 17850612 18266664 18459688 18526668 18586464 18617946 18889936 19253204 19413728 19561152 19748118 19937328 20070557 20208396 20328256 20415504 20597019 20815808 21091017 21216112 21257088 21598772 21969984 22116796 22268688 22482048 22542119 22585656 22696932 22719616 23028512 23067518 23471368 23660481 23800816 23846784 23887176 24305376 24355552 24467794 24588343 24702224 24781952 24823928 24871872 25519577 25877774 26060736 26330824 26426364 26583104 26944528 27220672 27462692 27689532 28121356 28334904 28628561 28879806 29120592 29691584 30114208 30262576 30492384 31223712 31547308 31824168 31849568 32153987 32398158 32407168 32903414 33175194 33601152 34079424 34476182 34542768 34601277 34873728 35207052 35235152 35701224 36533328 36701691 36919376 37053336 37172928 37235892 37779872 38140973 38506408 38816661 38827456 39122304 39496236 39874656 40141114 40338883 40416792 40656512 40831008 41194038 41631616 42182034 42432224 43197544 43939968 44233592 44537376 45084238 45171312 45393864 46057024 46135036 46942736 47320962 47601632 47774352 48610752 48711104 48935588 49176686 49355121 49404448 49647856 49743744 49876657 51039154 51714273 51755548 52121472 52661648 52750847 52852728 53166208 53889056 54441344 54925384 55379064 56242712 56669808 57257122 57759612 58241184 59383168 60211671 60228416 60525152 60984768 62447424 62572913 63094616 63648336 63699136 64307974 64796316 65806828 66350388 67626357 68158848 68952364 69085536 69202554 70414104 70470304 71402448 73066656 73403382 73765029 73838752 74106672 74345856 74471784 75559744 76281946 76558731 77012816 77633322 77654912 78992472 79749312 80282228 80677766 80833584 81662016 81826117 82388076 84364068 84864448 85885683 86395088 88467184 89074752 89253749 90168476 90342624 90787728 91394407 92114048 92270072 93885472 94641924 95203264 95548704 96461961 97221504 97422208 97871176 98353372 98710242 98808896 99295712 99753314 102078308 103428546 103511096 105323296 105501694 105705456 107778112 109850768 110758128 112485424 113339616 114422919 114514244 115519224 116482368 116716441 119515763 120423342 120456832 121016649 121050304 121969536 124894848 125145826 126189232 127296672 127398272 128615948 129592632 131613656 132700776 135252714 137904728 138171072 138405108 140828208 140940608 142804896 146133312 146806764 147530058 147677504 148213344 148943568 149629971 149938867 151119488 152563892 153117462 154025632 155266644 157984944 158252541 159498624 160564456 161355532 161667168 163324032 163652234 164776152 168728136 169728896 171771366 172790176 176934368 178149504 178507498 180336952 180685248 181575456 182788814 184540144 187718739 187770944 189283848 190406528 191097408 192923922 195742352 196073903 196706744 197420484 197617792 198591424 199506628 204156616 206857092 207022192 210646592 211003388 211410912 213872191 215556224 219701536 221516256 224970848 226679232 228845838 229028488 231038448 232964736 233432882 239031526 240846684 242033298 242100608 245478351 250291652 252378464 254593344 257231896 259185264 263227312 265401552 267761247 270505428 274183221 275809456 276342144 276810216 279679019 281656416 281881216 285609792 292266624 293047547 293613528 295060116 295355008 296426688 297887136 299259942 299877734 305127784 306234924 308051264 310533288 315969888 316505082 321128912 322711064 323334336 327304468 329552304 331754501 337456272 343542732 345580352 350149323 353868736 357014996 358547289 360673904 361370496 363150912 365577628 369080288 372607967 375437478 375541888 378567696 382194816 385847844 391484704 392147806 393413488 394840968 397182848 399013256 408313232 413714184 414044384 418001831 421293184 422006776 422821824 427744382 433832809 439403072 443032512 449816601 449941696 453358464 457691676 458056976 462076896 466865764 478063052 481693368 484066596 490956702 500583304 504756928 509186688 514463792 518370528 526454624 530803104 535522494 541010856 548366442 551618912 553620432 559358038 563312832 571219584 586095094 587227056 588221709 590120232 592853376 595774272 598519884 599755468 610255568 611289227 612469848 616102528 621066576 631939776 633010164 641616573 642257824 645422128 646668672 648396541 654608936 659104608 663509002 674912544 685761011 687085464 691160704 700298646 707737472 714029992 717094578 721347808 726301824 731155256 738160576 745215934 750874956 757135392 771695688 782969408 784295612 786826976 789681936 798026512 816626464 827428368 828088768 836003662 839037057 844013552 845643648 855488764 867665618 871940471 878806144 879142641 886065024 899633202 899883392 915383352 916113952 924153792 933731528 956126104 963386736 968133192 981913404 995263503 1001166608 1009513856 1028927584 1036741056 1052909248 1061606208 1063739521 1071044988 1082021712 1096732884 1103237824 1107240864 1117823901 1118716076 1126625664 1172190188 1174454112 1176443418 1180240464 1191548544 1197039768 1199510936 1220511136 1222578454 1224939696 1242133152 1254005493 1263879552 1266020328 1283233146 1284515648 1290844256 1296793082 1301498427 1309217872 1318209216 1327018004 1349825088 1352537581 1371522022 1374170928 1400597292 1428059984 1434189156 1442695616 1462310512 1476321152 1490431868 1501749912 1514270784 1517313733 1543391376 1553704919 1565938816 1568591224 1573653952 1579363872 1596053024 1633252928 1654856736 1656177536 1672007324 1678074114 1688027104 1710977528 1735331236 1743880942 1758285282 1799266404 1830766704 1832227904 1833867681 1848307584 1867463056 1912252208 1926773472 1936266384 1945189623 1963826808 1990527006 2002333216 2057283033 2057855168 2073482112 2105818496 2123212416 2127479042 2142089976 2164043424 2193465768 2206475648 2214481728 2235647802 2237432152 2344380376 2348908224 2352886836 2360480928 2394079536 2399021872 2441022272 2445156908 2449879392 2484266304 2508010986 2532040656 2548960739 2566466292 2569031296 2581688512 2593586164 2602996854 2615821413 2618435744 2636418432 2654036008 2699650176 2705075162 2743044044 2748341856 2801194584 2856119968 2868378312 2885391232 2924621024 2980863736 3003499824 3028541568 3034627466 3086782752 3107409838 3137182448 3147307904 3158727744 3191218563 3192106048 3240986279 3266505856 3309713472 3344014648 3356148228 3376054208 3421955056 3470662472 3487761884 3516570564 3598532808 3635827247 3661533408 3664455808 3667735362 3734926112 3824504416 3853546944 3872532768 3890379246 3927653616 3981054012 4004666432 4057612743 4114566066 4115710336 4254958084 4284179952 4328086848 4386931536 4428963456 4471295604 4474864304 4551941199 4661114757 4688760752 4697816448 4705773672 4720961856 4788159072 4798043744 4843903571 4882044544 4890313816 4899758784 4968532608 5016021972 5064081312 5097921478 5132932584 5163377024 5187172328 5205993708 5231642826 5236871488 5308072016 5410150324 5486088088 5496683712 5602389168 5639826517 5712239936 5736756624 5849242048 5961727472 6006999648 6069254932 6173565504 6214819676 6274364896 6317455488 6334335439 6382437126 6384212096 6481972558 6619426944 6688029296 6712296456 6752108416 6843910112 6941324944 6975523768 7033141128 7197065616 7271654494 7323066816 7335470724 7469852224 7646882217 7649008832 7707093888 7745065536 7780758492 7855307232 7946759951 7962108024 8009332864 8115225486 8229132132 8509916168 8568359904 8656173696 8773863072 8942591208 8949728608 9103882398 9322229514 9377521504 9411547344 9441923712 9576318144 9596087488 9687807142 9722958837 9780627632 9799517568 10032043944 10128162624 10195842956 10265865168 10374344656 10391916859 10411987416 10463285652 10473742976 10616144032 10820300648 10907481741 10972176176 10993367424 11204778336 11279653034 11335226123 11424479872 11473513248 11698484096 11923454944 12013999296 12138509864 12347131008 12429639352 12548729792 12668670878 12764874252 12963945116 13376058592 13424592912 13687820224 13882649888 13951047536 14066282256 14394131232 14531710713 14543308988 14646133632 14670941448 14822988007 14939704448 15293764434 15298017664 15490131072 15561516984 15710614464 15893519902 15924216048 16230450972 16458264264 16919479551 17019832336 17136719808 17547726144 17582988553 17885182416 17899457216 18207764796 18644459028 18755043008 18823094688 19003006317 19152636288 19192174976 19375614284 19445917674 19561255264 20064087888 20256325248 20391685912 20531730336 20748689312 20783833718 20823974832 20926571304 21232288064 21640601296 21814963482 21944352352 22409556672 22559306068 22670452246 22947026496 22993138877 23840279853 23846909888 24027998592 24277019728 24859278704 25097459584 25337341756 25529748504 25927890232 26752117184 26849185824 27375640448 27765299776 27902095072 28132564512 28788262464 29063421426 29086617976 29341882896 29645976014 30587528868 31123033968 31175750577 31421228928 31787039804 31848432096 32460901944 32916528528 33838959102 34005678369 34039664672 34273439616 35095452288 35165977106 35770364832 35798914432 36415529592 37288918056 37510086016 37646189376 38006012634 38751228568 38891835348 39122510528 40128175776 40783371824 41063460672 41497378624 41567667436 41647949664 41853142608 42132821627 42464576128 43281202592 43629926964 43888704704 44468964021 44819113344 45118612136 45340904492 45894052992 45986277754 47680559706 47693819776 48554039456 49718557408 50674683512 51059497008 51855780464 52748965659 53504234368 53698371648 55096766743 55530599552 55804190144 56265129024 57576524928 58126842852 58173235952 58683765792 59291952028 61175057736 62246067936 62351501154 63574079608 63696864192 64921803888 65833057056 67677918204 68011356738 68079329344 68979416631 70331954212 71540729664 72831059184 74577836112 75292378752 76012025268 77502457136 77783670696 78245021056 80256351552 81566743648 82126921344 82346360707 82994757248 83135334872 83295899328 83706285216 84265643254 86562405184 87259853928 87777409408 88937928042 90237224272 90681808984 91972555508 95361119412 97108078912 99437114816 101349367024 102118994016 103711560928 105497931318 107396743296 110193533486 111608380288 112530258048 116253685704 116346471904 117367531584 118583904056 122350115472 124492135872 124703002308 126398464881 127148159216 127393728384 129843607776 131666114112 135094919167 135355836408 136022713476 136158658688 137958833262 140663908424 143081459328 145662118368 149155672224 152024050536 155004914272 155567341392 160512703104 163133487296 164692721414 165290300229 166270669744 166591798656 167412570432 168531286508 171772272787 173124810368 174519707856 177875856084 180474448544 181363617968 183945111016 190722238824 192698844091 194216157824 198874229632 202698734048 204237988032 207423121856 210995862636 220387066972 232507371408 232692943808 234735063168 237167808112 244700230944 247039082121 248984271744 249406004616 252796929762 254296318432 259687215552 263332228224 270189838334 270711672816 272045426952 275917666524 281327816848 291324236736 298311344448 298910805401 304048101072 310009828544 311134682784 326266974592 329385442828 330580600458 332541339488 334825140864 337062573016 343544545574 349039415712 355751712168 360948897088 362727235936 367890222032 381444477648 385397688182 405284757501 405397468096 408475976064 414846243712 421991725272 440774133944 465014742816 465385887616 474335616224 489400461888 494078164242 498812009232 505593859524 508592636864 515316818361 519374431104 540379676668 541423345632 544090853904 551835333048 562655633696 578096532273 582648473472 596622688896 597821610802 608096202144 620019657088 622269365568 658770885656 661161200916 665082678976 674125146032 687089091148 698078831424 711503424336 716257967659 721897794176 725454471872 735780444064 762888955296 770795376364 810569515002 810794936192 843983450544 881548267888 896732416203 930029485632 948671232448 978800923776 988156328484 997624018464 1011187719048 1017185273728 1030633636722 1080759353336 1082846691264 1088181707808 1103670666096 1125311267392 1156193064546 1195643221604 1216192404288 1244538731136 1317541771312 1322322401832 1330165357952 1348250292064 1374178182296 1396157662848 1423006848672 1432515935318 1450908943744 1471560888128 1525777910592 1541590752728 1621139030004 1687966901088 1763096535776 1793464832406 1860058971264 1897342464896 1976312656968 1995248036928 2022375438096 2061267273444 2148773902977 2161518706672 2165693382528 2176363415616 2207341332192 2233039546231 2250622534784 2312386129092 2391286443208 2432384808576 2635083542624 2644644803664 2696500584128 2748356364592 2846013697344 2865031870636 2920128637379 2943121776256 3051555821184 3083181505456 3242278060008 3375933802176 3526193071552 3586929664812 3952625313936 3990496073856 4044750876192 4122534546888 4297547805954 4323037413344 4352726831232 4414682664384 4466079092462 4624772258184 4782572886416 5270167085248 5289289607328 5393001168256 5496712729184 5692027394688 5730063741272 5840257274758 6166363010912 6484556120016 6699118638693 6751867604352 7052386143104 7173859329624 7905250627872 8089501752384 8245069093776 8595095611908 8646074826688 8760385912137 8829365328768 8932158184924 9249544516368 9565145772832 10540334170496 10578579214656 10993425458368 11460127482544 11680514549516 12332726021824 12969112240032 13398237277386 14347718659248 15810501255744 16179003504768 16490138187552 17190191223816 17292149653376 17520771824274 17864316369848 18499089032736 19130291545664 21157158429312 21986850916736 22920254965088 23361029099032 24665452043648 25938224480064 26796474554772 28695437318496 31621002511488 32980276375104 34380382447632 35041543648548 35728632739696 36998178065472 37961672285927 38260583091328 45840509930176 46722058198064 51876448960128 53592949109544 57390874636992 65960552750208 68760764895264 70083087297096 71457265479392 73996356130944 75923344571854 91681019860352 93444116396128 107185898219088 113885016857781 114781749273984 137521529790528 140166174594192 142914530958784 151846689143708 186888232792256 214371796438176 227770033715562 275043059581056 280332349188384 285829061917568 303693378287416 373776465584512 428743592876352 455540067431124 560664698376768 607386756574832 857487185752704 911080134862248 1121329396753536 1214773513149664 1822160269724496 2429547026299328 3644320539448992 4859094052598656 7288641078897984 14577282157795968
- Sum of all divisors σ(n): 45831145927311360
- Sum of proper divisors (its aliquot sum) s(n): 31253863769515392
- 14577282157795968 is an abundant number, because the sum of its proper divisors (31253863769515392) is greater than itself. Its abundance is 16676581611719424
Bases of 14577282157795968
- Binary: 1100111100100111110101111111001100111001011010100000002
- Hexadecimal: 0x33C9F5FCCE5A80
- Base-36: 3ZJ7QZ2H9XC
Squares and roots of 14577282157795968
- 14577282157795968 squared (145772821577959682) is 212497155107996672897519517057024
- 14577282157795968 cubed (145772821577959683) is 3097630987738202243401378641287505921673613279232
-
The
square root of 14577282157795968 is 120736416.0383931887 -
The
cube root of 14577282157795968 is 244282.4047996995
Scales and comparisons
How big is 14577282157795968?- 14,577,282,157,795,968 seconds is equal to 463,512,482 years, 6 weeks, 3 days, 12 minutes, 48 seconds.
-
To count from 1 to 14,577,282,157,795,968 would take you about one billion, three hundred ninety million, five hundred thirty-seven thousand, four hundred forty-six 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 14577282157795968 cubic inches would be around 20356.9 feet tall.
Recreational maths with 14577282157795968
- 14577282157795968 backwards is 86959775128277541
- The number of decimal digits it has is: 17
- The sum of 14577282157795968's digits is 93
- 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 14577282157795968 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 14577282157795968 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/14577282157795968/
Chicago style:
Numbermatics. 2024. "Number 14577282157795968 - Facts about the integer". https://numbermatics.com/n/14577282157795968/
The information we have on file for 14577282157795968 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 14577282157795968, math, Factors of 14577282157795968, curriculum, school, college, exams, university, Prime factorization of 14577282157795968, STEM, science, technology, engineering, physics, economics, calculator, fourteen quadrillion, five hundred seventy-seven trillion, two hundred eighty-two billion, one hundred fifty-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight.