29784932160984
29,784,932,160,984 is an even composite number composed of seven prime numbers multiplied together.
What does the number 29784932160984 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
29784932160984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 29784932160984:
23 × 35 × 7 × 11 × 133 × 41 × 472
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 13 × 13 × 41 × 47 × 47)See below for interesting mathematical facts about the number 29784932160984 from the Numbermatics database.
Names of 29784932160984
- Cardinal: 29784932160984 can be written as Twenty-nine trillion, seven hundred eighty-four billion, nine hundred thirty-two million, one hundred sixty thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.9784932160984 × 1013
Factors of 29784932160984
Divisors of 29784932160984
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 27 28 33 36 39 41 42 44 47 52 54 56 63 66 72 77 78 81 82 84 88 91 94 99 104 108 117 123 126 132 141 143 154 156 162 164 168 169 182 188 189 198 216 231 234 243 246 252 264 273 282 286 287 297 308 312 324 328 329 338 351 364 369 376 378 396 423 429 451 462 468 486 492 504 507 517 533 546 564 567 572 574 594 611 616 648 658 676 693 702 728 738 756 792 819 846 858 861 891 902 924 936 972 984 987 1001 1014 1034 1053 1066 1092 1107 1128 1134 1144 1148 1183 1188 1222 1269 1287 1316 1352 1353 1386 1404 1476 1512 1521 1551 1599 1638 1692 1701 1716 1722 1782 1804 1833 1848 1859 1927 1944 1974 2002 2028 2068 2079 2106 2132 2184 2197 2209 2214 2268 2296 2366 2376 2444 2457 2538 2574 2583 2632 2673 2706 2772 2808 2952 2961 3003 3042 3102 3157 3159 3198 3276 3321 3384 3402 3432 3444 3549 3564 3608 3619 3666 3718 3731 3807 3854 3861 3948 4004 4056 4059 4136 4158 4212 4264 4277 4394 4418 4428 4536 4563 4653 4732 4797 4888 4914 5076 5148 5166 5346 5412 5499 5544 5577 5781 5863 5922 6006 6084 6204 6237 6314 6318 6396 6552 6591 6627 6642 6721 6804 6888 6929 7098 7128 7238 7332 7371 7436 7462 7614 7708 7722 7749 7896 7943 8008 8118 8316 8424 8554 8788 8836 8856 8883 9009 9126 9306 9464 9471 9594 9828 9963 10152 10296 10332 10647 10692 10824 10857 10998 11154 11193 11421 11562 11583 11726 11844 12012 12168 12177 12408 12474 12628 12636 12792 12831 13013 13182 13254 13284 13442 13489 13608 13689 13858 13959 14196 14391 14476 14664 14742 14872 14924 15228 15379 15416 15444 15463 15498 15886 16236 16497 16632 16731 17108 17343 17576 17589 17672 17766 18018 18252 18612 18711 18942 19188 19656 19773 19881 19926 20163 20664 20787 21197 21294 21384 21714 21996 22113 22308 22386 22842 23124 23166 23247 23452 23688 23829 24024 24167 24299 24354 24948 25051 25256 25272 25662 26026 26364 26508 26568 26649 26884 26978 27027 27378 27716 27918 28392 28413 28717 28782 28952 29484 29848 30456 30758 30888 30926 30996 31772 31941 32472 32571 32994 33462 33579 34216 34686 34749 35178 35532 36036 36504 36531 37224 37422 37884 38376 38493 39039 39546 39762 39852 40326 40467 41041 41067 41574 41877 42394 42588 43173 43428 43992 44226 44616 44772 45684 46137 46248 46332 46389 46494 46904 47047 47658 48334 48503 48598 48708 49491 49896 50102 50193 51324 52029 52052 52728 52767 53016 53298 53768 53956 54054 54756 55432 55601 55836 56826 57434 57564 58968 59319 59643 60489 61516 61852 61992 62361 63544 63591 63882 65142 65988 66924 67158 69372 69498 69741 70356 71064 71487 72072 72501 72897 73062 74844 75153 75768 76219 76986 78078 79092 79524 79704 79947 80652 80934 81081 82082 82134 83148 83754 84788 85176 85239 86151 86346 86856 87373 88452 89544 90077 90569 91368 92274 92664 92778 92988 94094 95316 95823 96668 97006 97196 97416 97713 98982 100204 100386 100737 102648 103259 104058 104104 105534 106596 107912 108108 109512 109593 111202 111672 113652 114868 115128 115479 117117 118638 119286 120978 121401 123032 123123 123704 124722 125631 127182 127764 129519 130284 131976 133848 134316 138411 138744 138996 139167 139482 140712 141141 142974 145002 145509 145794 146124 148379 148473 149688 150306 150579 152438 153972 156087 156156 158184 158301 159048 159894 161304 161868 162162 164164 164268 166296 166803 167508 169169 169576 170093 170478 172302 172692 174746 175357 176904 177957 178929 180154 181138 181467 184548 185556 185976 187083 188188 190632 190773 191646 193336 194012 194392 195426 197964 200408 200772 201019 201474 206518 208116 211068 213192 214461 216216 217503 218691 219186 222404 225459 227304 228657 229736 230958 234234 237276 238572 241956 242802 243243 246246 249444 251262 254364 255528 255717 258453 259038 260568 262119 268632 270231 271707 275561 276822 277992 278334 278964 282282 285948 287469 290004 291018 291588 292248 293139 296758 296946 300612 301158 302211 304876 307944 309777 312174 312312 315887 316602 319788 323736 324324 325663 328328 328536 333606 335016 338338 340186 340956 344604 345384 346437 349492 350714 351351 355914 357858 360308 362276 362934 364203 369096 369369 371112 373321 374166 376376 381546 383292 388024 390852 395928 401544 402038 402948 413036 415233 416232 417501 422136 423423 428922 435006 436527 437382 438372 444808 445137 450918 451737 457314 461916 468261 468468 474552 474903 477144 483912 485604 486486 492492 498888 500409 502524 507507 508728 510279 511434 516906 518076 524238 526071 533533 533871 536787 540462 543414 544401 551122 553644 556668 557928 561249 564564 571896 572319 574938 580008 582036 583176 586278 593516 593892 601224 602316 603057 604422 609752 611611 619554 624348 630539 631774 633204 633983 639576 643383 648648 651326 652509 656073 667212 676377 676676 680372 681912 685971 689208 692874 698984 701428 702702 711828 715716 720616 722813 724552 725868 728406 738738 746642 748332 763092 766584 767151 775359 781704 786357 804076 805896 810693 815121 826072 826683 830466 835002 846846 857844 870012 873054 874764 876744 879417 890274 901836 903474 906633 914628 923832 929331 936522 936936 947661 949806 971208 972972 976989 984984 990847 996259 1000818 1005048 1015014 1020558 1022868 1033812 1036152 1039311 1048476 1052142 1054053 1067066 1067742 1073574 1080924 1086828 1088802 1092609 1102244 1107288 1108107 1113336 1119963 1122498 1129128 1135849 1144638 1149876 1164072 1172556 1177397 1187032 1187784 1204632 1206114 1208844 1223222 1239108 1245699 1248696 1252503 1261078 1263548 1266408 1267966 1270269 1286766 1302652 1305018 1309581 1312146 1334424 1335411 1352754 1353352 1360744 1371942 1385748 1402856 1405404 1423656 1424709 1431432 1445626 1451736 1456812 1477476 1493284 1496664 1501227 1522521 1526184 1530837 1534302 1550718 1572714 1578213 1600599 1608152 1621386 1630242 1633203 1653366 1660932 1670004 1683747 1693692 1715688 1716957 1740024 1746108 1749528 1758834 1780548 1803672 1806948 1809171 1813266 1829256 1834833 1858662 1873044 1891617 1895322 1899612 1901949 1928927 1930149 1945944 1953978 1957527 1968219 1981694 1992518 2001636 2029131 2030028 2041116 2045736 2057913 2067624 2078622 2096952 2104284 2108106 2134132 2135484 2147148 2161848 2168439 2173656 2177604 2185218 2204488 2211209 2216214 2239926 2244996 2271698 2279641 2289276 2299752 2326077 2345112 2354794 2359071 2412228 2417688 2432079 2445363 2446444 2478216 2480049 2491398 2505006 2522156 2527096 2535932 2540538 2573532 2605304 2610036 2613247 2619162 2624292 2670822 2705508 2743884 2771496 2787993 2810808 2842983 2849418 2891252 2913624 2930967 2954952 2972541 2986568 2988777 3002454 3045042 3061674 3068604 3101436 3145428 3156426 3162159 3201198 3242772 3260484 3266406 3277827 3306732 3321864 3324321 3340008 3359889 3367494 3387384 3407547 3433914 3492216 3517668 3532191 3561096 3582293 3613896 3618342 3626532 3669666 3717324 3737097 3746088 3757509 3783234 3790644 3799224 3803898 3810807 3857854 3860298 3907956 3915054 3928743 3936438 3963388 3985036 4003272 4006233 4058262 4060056 4082232 4106531 4115826 4157244 4208568 4216212 4233619 4268264 4270968 4294296 4336878 4355208 4370436 4422418 4432428 4479852 4489992 4503681 4543396 4559282 4567563 4578552 4592511 4652154 4709588 4718142 4734639 4801797 4824456 4853173 4864158 4890726 4892888 4960098 4982796 5010012 5044312 5071864 5081076 5147064 5150871 5220072 5226494 5238324 5248584 5341644 5411016 5427513 5487768 5504499 5575986 5674851 5685966 5698836 5705847 5782504 5786781 5861934 5872581 5904657 5945082 5977554 6004908 6087393 6090084 6123348 6137208 6173739 6202872 6290856 6312852 6324318 6402396 6485544 6505317 6520968 6532812 6555654 6613464 6633627 6648642 6719778 6734988 6815094 6838923 6867828 6935929 6973813 6978231 7035336 7064382 7077213 7164586 7236684 7253064 7296237 7336089 7339332 7434648 7440147 7474194 7515018 7566468 7581288 7607796 7621614 7715708 7720596 7815912 7830108 7839741 7857486 7872876 7926776 7950943 7970072 8012466 8116524 8213062 8231652 8241779 8314488 8363979 8432424 8467238 8528949 8673756 8740872 8792901 8844836 8864856 8917623 8959704 8966331 9007362 9086792 9118564 9135126 9185022 9304308 9419176 9436284 9469278 9603594 9706346 9728316 9781452 9920196 9965592 9972963 10020024 10079667 10162152 10222641 10301742 10452988 10476648 10596573 10683288 10746879 10855026 11008998 11151972 11349702 11371932 11397672 11411694 11432421 11573562 11723868 11745162 11786229 11809314 11890164 11955108 12009816 12018699 12174786 12180168 12246696 12319593 12347478 12625704 12648636 12700857 12804792 12951367 13010634 13065624 13111308 13267254 13297284 13439556 13469976 13511043 13630188 13677846 13702689 13735656 13777533 13871858 13947626 13956462 14128764 14154426 14203917 14329172 14405391 14473368 14559519 14592474 14672178 14678664 14880294 14948388 15030036 15132936 15215592 15243228 15306161 15431416 15441192 15660216 15679482 15714972 15745752 15901886 16024932 16233048 16282539 16426124 16463304 16483558 16513497 16727958 16934476 17024553 17057898 17117541 17347512 17360343 17585802 17689672 17835246 17932662 18014724 18237128 18270252 18370044 18521217 18608616 18872568 18938556 19207188 19412692 19456632 19515951 19562904 19840392 19900881 19945926 20159334 20445282 20516769 20603484 20807787 20905976 20921439 21193146 21231639 21493758 21710052 21888711 22008267 22017996 22303944 22320441 22699404 22743864 22823388 22864842 23147124 23447736 23490324 23519223 23572458 23618628 23780328 23852829 23910216 24037398 24349572 24639186 24694956 24725337 25076051 25091937 25297272 25401714 25586847 25902734 26021268 26222616 26378703 26534508 26594568 26752869 26879112 26898993 27022086 27260376 27355692 27405378 27555066 27743716 27895252 27912924 28257528 28308852 28407834 28658344 28745717 28810782 29119038 29184948 29344356 29635333 29760588 29896776 30060072 30239001 30486456 30612322 30667923 31358964 31429944 31789719 31803772 32049864 32240637 32565078 32852248 32967116 33026994 33455916 33868952 33972211 34049106 34115796 34235082 34720686 35171604 35670492 35865324 36029448 36056097 36540504 36740088 36958779 37042434 37877112 38102571 38414376 38825384 38854101 39031902 39801762 39891852 40318668 40890564 41033538 41108067 41206968 41332599 41615574 41842878 42386292 42463278 42611751 42987516 43216173 43420104 43678557 43777422 44016534 44035992 44640882 45398808 45646776 45729684 45918483 46294248 46569809 46980648 47038446 47144916 47237256 47705658 48074796 48699144 48847617 49278372 49389912 49450674 49540491 50152102 50183874 50803428 51073659 51173694 51352623 51805468 52042536 52081029 52757406 53069016 53384903 53505738 53797986 54044172 54711384 54810756 55110132 55487432 55790504 55825848 56617704 56815668 57491434 57621564 58238076 58369896 58547853 58688712 59270666 59521176 59702643 60478002 61224644 61335846 61550307 62423361 62717928 62764317 63579438 63607544 64481274 65130156 65934232 66053988 66911832 66961323 67944422 68098212 68231592 68470164 69441372 70343208 70557669 71340984 71558487 71730648 72112194 73917558 74084868 74176011 75228153 76205142 76760541 77708202 78063804 79136109 79603524 79783704 80258607 80637336 80696979 81781128 82067076 82216134 82665198 83231148 83685756 84772584 84926556 85223502 85975032 86237151 86432346 87357114 87554844 88033068 88905999 89281764 90659569 90717003 91459368 91836966 92003769 93139618 94076892 94289832 95369157 95411316 96149592 96721911 97695234 98556744 98901348 99080982 100304204 100367748 101606856 101916633 102147318 102347388 102705246 103610936 104162058 105514812 106769806 107011476 107143127 107595972 108088344 109621512 110220264 110876337 113631336 114307713 114982868 115243128 116476152 116562303 117095706 118541332 119405286 120956004 122449288 122671692 123100614 124846722 125528634 127158876 128962548 129648519 130260312 131035671 132107976 133922646 135888844 136196424 136940328 137755449 138882744 139709427 141115338 143116974 144224388 147835116 148169736 148352022 148621473 150456306 152410284 153220977 153521082 154057869 155416404 156127608 156243087 158272218 159207048 160154709 160517214 161393958 164134152 164432268 165330396 166462296 167371512 168367771 169853112 170447004 172474302 172864692 174714228 175109688 175643559 176066136 177811998 178563528 179107929 181319138 181434006 183673932 184007538 184650921 186279236 187270083 188153784 188292951 190738314 190822632 193443822 195390468 197802696 198161964 198980093 200608408 200735496 203833266 204294636 204694776 205410492 208324116 211029624 211673007 213539612 214022952 214286254 214675461 215191944 221752674 222528033 225684459 228615426 229965736 233124606 234191412 237082664 238810572 240775821 241912008 242090937 245343384 246201228 249693444 251057268 254317752 257925096 258711453 259297038 262071342 266717997 267845292 271777688 271978707 275510898 276011307 279418854 282230676 286107471 286233948 288448776 290165733 295670232 296704044 297242946 300912612 304820568 305749899 306441954 307042164 308115738 310832808 312486174 316544436 320309418 321034428 321429381 322787916 325988663 328864536 330660792 332629011 336735542 340894008 342923139 344948604 345729384 349428456 349686909 351287118 355623996 358215858 362638276 362868012 367347864 368015076 369301842 372558472 373694321 374540166 376585902 381476628 386887644 390780936 393107013 396323928 397960186 407666532 408589272 410820984 413266347 416648232 419128281 423346014 427079224 428572508 429350922 443505348 445056066 451368918 457230852 466249212 468382824 468729261 477621144 480464127 481551642 484181874 492402456 499386888 502114536 505103313 517422906 518594076 524142684 533435994 535690584 537323787 543957414 551021796 552022614 553952763 558837708 561810249 564461352 564878853 572214942 572467896 580331466 593408088 594485892 596940279 601825224 611499798 612883908 614084328 616231476 624972348 633088872 635019021 640618836 642068856 642858762 644026383 645575832 651977326 665258022 667584099 673471084 677053377 685846278 689897208 699373818 702574236 711247992 716431716 725276552 725736024 736030152 738603684 747388642 749080332 753171804 762953256 773775288 776134359 786214026 795920372 800153991 815333064 815936121 826532694 838256562 846692028 857145016 858701844 870497199 887010696 890112132 902737836 914461704 917249697 932498424 937458522 960928254 963103284 964288143 968363748 977965989 997887033 1010206626 1028769417 1034845812 1037188152 1048285368 1049060727 1066871988 1074647574 1087914828 1102043592 1104045228 1107905526 1117675416 1121082963 1123620498 1129757706 1144429884 1160662932 1178574397 1179321039 1188971784 1193880558 1222999596 1225767816 1232462952 1239799041 1249944696 1257384843 1270038042 1281237672 1285717524 1288052766 1303954652 1330516044 1335168198 1346942168 1354106754 1371692556 1392860651 1398747636 1405148472 1432863432 1441392381 1477207368 1494777284 1498160664 1506343608 1515309939 1552268718 1572428052 1591840744 1600307982 1631872242 1653065388 1676513124 1685430747 1693384056 1694636559 1717403688 1740994398 1780224264 1790820837 1805475672 1834499394 1874917044 1921856508 1926206568 1928576286 1932079149 1936727496 1955931978 1995774066 2002752297 2020413252 2031160131 2057538834 2069691624 2098121454 2133743976 2149295148 2175829656 2188781023 2208090456 2215811052 2242165926 2247240996 2259515412 2288859768 2321325864 2328403077 2357148794 2358642078 2387761116 2400461973 2445999192 2447808363 2479598082 2514769686 2540076084 2571435048 2576105532 2607909304 2661032088 2670336396 2708213508 2743385112 2751749091 2785721302 2797495272 2882784762 2892864429 2933897967 2989554568 3030619878 3104537436 3144856104 3147182181 3200615964 3263744484 3306130776 3353026248 3363248889 3370861494 3389273118 3481988796 3535723191 3581641674 3668998788 3719397123 3749834088 3772154529 3843713016 3857152572 3864158298 3911863956 3991548132 4005504594 4040826504 4062320262 4115077668 4178581953 4196242908 4298590296 4324177143 4377562046 4431622104 4484331852 4494481992 4519030824 4545929817 4656806154 4714297588 4717284156 4775522232 4800923946 4895616726 4959196164 5029539372 5080152168 5152211064 5340672792 5372462511 5416427016 5503498182 5571442604 5765569524 5785728858 5867795934 6061239756 6093480393 6209074872 6294364362 6401231928 6527488968 6566343069 6726497778 6741722988 6778546236 6963977592 6985209231 7071446382 7163283348 7201385919 7337997576 7343425089 7438794246 7544309058 7714305144 7728316596 7823727912 7983096264 8011009188 8124640524 8230155336 8255247273 8357163906 8392485816 8648354286 8678593287 8755124092 8801693901 8968663704 9091859634 9313612308 9428595176 9434568312 9601847892 9791233452 9918392328 10059078744 10089746667 10607169573 10744925022 11006996364 11142885208 11316463587 11531139048 11571457716 11735591868 12122479512 12186960786 12535745859 12588728724 12972531429 13132686138 13452995556 13483445976 13557092472 13637789451 13970418462 14142892764 14326566696 14402771838 14686850178 14877588492 15088618116 15321467161 15456633192 16022018376 16117387533 16249281048 16510494546 16714327812 17296708572 17357186574 17510248184 17603387802 18183719268 18627224616 19203695784 19582466904 19699029207 20179493334 21214339146 21489850044 22013992728 22030275267 22632927174 23142915432 23471183736 24373921572 25071491718 25177457448 25945062858 26035779861 26265372276 26405081703 26905991112 27275578902 27940836924 28285785528 28805543676 29373700356 29755176984 30177236232 30269240001 30642934322 31821508719 32234775066 33020989092 33428655624 34593417144 34714373148 35206775604 36367438536 37607237577 39398058414 40358986668 40913368353 42428678292 42979700088 44060550534 45265854348 45964401483 48352162599 48747843144 50142983436 51890125716 52071559722 52530744552 52810163406 54551157804 55881673848 57611087352 58747400712 59097087621 60538480002 61285868644 63643017438 64469550132 66041978184 69428746296 70413551208 75214475154 78796116828 79215245109 80717973336 81826736706 84857356584 88121101068 90531708696 90807720003 91928802966 95464526157 96704325198 100285966872 103780251432 104143119444 105620326812 109102315608 112821712731 118194175242 121076960004 122571737288 127286034876 128939100264 137893204449 150428950308 157592233656 158430490218 163653473412 176242202136 177291262863 181615440006 183857605932 190929052314 193408650396 208286238888 211240653624 225643425462 236388350484 242153920008 254572069752 275786408898 286393578471 300857900616 316860980436 327306946824 338465138193 354582525726 363230880012 367715211864 381858104628 386817300792 413679613347 451286850924 472776700968 531873788589 551572817796 572787156942 633721960872 676930276386 709165051452 726461760024 763716209256 827359226694 902573701848 1063747577178 1103145635592 1145574313884 1241038840041 1353860552772 1418330102904 1654718453388 2127495154356 2291148627768 2482077680082 2707721105544 3309436906776 3723116520123 4254990308712 4964155360164 7446233040246 9928310720328 14892466080492 29784932160984
- Sum of all divisors σ(n): 118255590835200
- Sum of proper divisors (its aliquot sum) s(n): 88470658674216
- 29784932160984 is an abundant number, because the sum of its proper divisors (88470658674216) is greater than itself. Its abundance is 58685726513232
Bases of 29784932160984
- Binary: 1101100010110110110000100110100010101110110002
- Hexadecimal: 0x1B16D84D15D8
- Base-36: AK30BL1I0
Squares and roots of 29784932160984
- 29784932160984 squared (297849321609842) is 887142183834419012091848256
- 29784932160984 cubed (297849321609843) is 26423469762655366857062988301872691643904
-
The
square root of 29784932160984 is 5457557.3438108737 -
The
cube root of 29784932160984 is 30997.8951609335
Scales and comparisons
How big is 29784932160984?- 29,784,932,160,984 seconds is equal to 947,068 years, 37 weeks, 2 hours, 56 minutes, 24 seconds.
-
To count from 1 to 29,784,932,160,984 would take you about two million, three hundred sixty-seven thousand, six hundred seventy-one 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 29784932160984 cubic inches would be around 2583.2 feet tall.
Recreational maths with 29784932160984
- 29784932160984 backwards is 48906123948792
- 29784932160984 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 29784932160984's digits is 72
- 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 29784932160984 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 29784932160984 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/29784932160984/
Chicago style:
Numbermatics. 2024. "Number 29784932160984 - Facts about the integer". https://numbermatics.com/n/29784932160984/
The information we have on file for 29784932160984 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 29784932160984, math, Factors of 29784932160984, curriculum, school, college, exams, university, Prime factorization of 29784932160984, STEM, science, technology, engineering, physics, economics, calculator, twenty-nine trillion, seven hundred eighty-four billion, nine hundred thirty-two million, one hundred sixty thousand, nine hundred eighty-four.