68432028284160
68,432,028,284,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 68432028284160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
68432028284160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 68432028284160:
28 × 36 × 5 × 17 × 312 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 31 × 31 × 67 × 67)See below for interesting mathematical facts about the number 68432028284160 from the Numbermatics database.
Names of 68432028284160
- Cardinal: 68432028284160 can be written as Sixty-eight trillion, four hundred thirty-two billion, twenty-eight million, two hundred eighty-four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 6.843202828416 × 1013
Factors of 68432028284160
Divisors of 68432028284160
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 40 45 48 51 54 60 62 64 67 68 72 80 81 85 90 93 96 102 108 120 124 128 134 135 136 144 153 155 160 162 170 180 186 192 201 204 216 240 243 248 255 256 268 270 272 279 288 306 310 320 324 335 340 360 372 384 402 405 408 432 459 465 480 486 496 510 527 536 540 544 558 576 603 612 620 640 648 670 680 720 729 744 765 768 804 810 816 837 864 918 930 960 961 972 992 1005 1020 1054 1072 1080 1088 1116 1139 1152 1206 1215 1224 1240 1280 1296 1340 1360 1377 1395 1440 1458 1488 1530 1581 1608 1620 1632 1674 1728 1809 1836 1860 1920 1922 1944 1984 2010 2040 2077 2108 2144 2160 2176 2232 2278 2295 2304 2412 2430 2448 2480 2511 2592 2635 2680 2720 2754 2790 2880 2883 2916 2976 3015 3060 3162 3216 3240 3264 3348 3417 3456 3618 3645 3672 3720 3840 3844 3888 3968 4020 4080 4131 4154 4185 4216 4288 4320 4352 4464 4489 4556 4590 4743 4805 4824 4860 4896 4960 5022 5184 5270 5360 5427 5440 5508 5580 5695 5760 5766 5832 5952 6030 6120 6231 6324 6432 6480 6528 6696 6834 6885 6912 7236 7290 7344 7440 7533 7688 7776 7905 7936 8040 8160 8262 8308 8370 8432 8576 8640 8649 8928 8978 9045 9112 9180 9486 9610 9648 9720 9792 9920 10044 10251 10368 10385 10540 10720 10854 10880 11016 11160 11390 11520 11532 11664 11904 12060 12240 12393 12462 12555 12648 12864 12960 13056 13392 13467 13668 13770 14229 14415 14472 14580 14688 14880 15066 15376 15552 15810 16080 16281 16320 16337 16524 16616 16740 16864 17085 17152 17280 17298 17856 17956 18090 18224 18360 18693 18972 19220 19296 19440 19584 19840 20088 20502 20655 20736 20770 21080 21440 21708 21760 22032 22320 22445 22599 22780 23064 23328 23715 23808 24120 24480 24786 24924 25110 25296 25728 25920 25947 26784 26934 27135 27336 27540 28458 28830 28944 29160 29376 29760 30132 30752 30753 31104 31155 31620 32160 32562 32640 32674 33048 33232 33480 33728 34170 34560 34596 35309 35712 35912 36180 36448 36720 37386 37665 37944 38440 38592 38880 39168 39680 40176 40401 41004 41310 41540 42160 42687 42880 43245 43416 44064 44640 44890 45198 45560 46128 46656 47430 48240 48843 48960 49011 49572 49848 50220 50592 51255 51456 51840 51894 53568 53868 54270 54672 55080 56079 56916 57660 57888 58320 58752 59520 60264 61504 61506 61965 62208 62310 63240 64320 64387 65124 65280 65348 66096 66464 66960 67335 67456 68340 69192 70618 71145 71424 71824 72360 72896 73440 74772 75330 75888 76313 76880 77184 77760 77841 80352 80802 81405 81685 82008 82620 83080 84320 85374 85760 86490 86832 88128 89280 89780 90396 91120 92256 92259 93312 93465 94860 96480 97686 97920 98022 99144 99696 100440 101184 102510 103680 103788 105927 107136 107736 108540 109344 110160 112158 112995 113832 115320 115776 116640 117504 119040 120528 121203 123008 123012 123930 124620 126480 128061 128640 128774 129735 130248 130696 132192 132928 133920 134670 134912 136680 138384 139159 141236 142290 143648 144720 145792 146880 147033 149544 150660 151776 152626 153760 153765 154368 155520 155682 160704 161604 162810 163370 164016 165240 166160 168237 168640 170748 172980 173664 176256 176545 178560 179560 180792 182240 184512 184518 186624 186930 189720 192960 193161 195372 195840 196044 198288 199392 200880 202005 202368 205020 207576 211854 213435 214272 215472 217080 218688 220320 224316 225990 227664 228939 230640 231552 233280 233523 241056 242406 244215 245055 246016 246024 247860 249240 252960 256122 257280 257548 259470 260496 261392 264384 265856 267840 269340 273360 276768 276777 278318 280395 282472 284580 287296 289440 291584 293760 294066 299088 301320 303552 305252 307520 307530 311040 311364 317781 321408 321935 323208 325620 326740 328032 330480 332320 336474 337280 341496 345960 347328 352512 353090 357120 359120 361584 363609 364480 369024 369036 373860 379440 381565 384183 385920 386322 389205 390744 392088 396576 398784 401760 404010 404736 410040 415152 417477 423708 426870 430944 434160 437376 440640 441099 448632 451980 455328 457878 461280 461295 463104 466560 467046 482112 484812 488430 490110 492048 495720 498480 504711 505920 512244 515096 518940 520992 522784 528768 529635 531712 535680 538680 546720 553536 553554 556636 560790 564944 569160 574592 578880 579483 587520 588132 598176 602640 606015 607104 610504 615040 615060 622728 635562 640305 642816 643870 646416 651240 653480 656064 660960 664640 672948 674560 682992 686817 691920 694656 695795 700569 706180 718240 723168 727218 728960 735165 738048 738072 747720 758880 763130 768366 771840 772644 778410 781488 784176 793152 797568 803520 808020 820080 830304 830331 834954 841185 847416 853740 861888 868320 874752 881280 882198 897264 903960 910656 915756 922560 922590 933120 934092 953343 964224 965805 969624 976860 980220 984096 991440 996960 1009422 1011840 1024488 1030192 1037880 1041984 1045568 1057536 1059270 1071360 1077360 1090827 1093440 1094579 1107072 1107108 1113272 1121580 1129888 1138320 1144695 1149184 1157760 1158966 1167615 1176264 1196352 1205280 1212030 1214208 1221008 1230080 1230120 1245456 1252431 1271124 1280610 1287740 1292832 1302480 1306960 1312128 1321920 1323297 1329280 1345896 1365984 1373634 1383840 1383885 1389312 1391590 1401138 1412360 1436480 1446336 1454436 1457920 1470330 1476144 1495440 1514133 1517760 1526260 1536732 1545288 1556820 1562976 1568352 1586304 1588905 1595136 1607040 1616040 1640160 1660608 1660662 1669908 1682370 1694832 1707480 1723776 1736640 1738449 1762560 1764396 1794528 1807920 1818045 1821312 1831512 1845120 1845180 1868184 1906686 1920915 1928448 1931610 1939248 1953720 1960440 1968192 1982880 1993920 2018844 2023680 2048976 2060384 2060451 2075760 2083968 2087385 2091136 2118540 2154720 2181654 2186880 2189158 2205495 2214144 2214216 2226544 2243160 2259776 2276640 2289390 2315520 2317932 2335230 2352528 2365703 2392704 2410560 2424060 2442016 2460240 2490912 2504862 2523555 2542248 2561220 2575480 2585664 2604960 2613920 2624256 2643840 2646594 2658560 2691792 2731968 2747268 2767680 2767770 2783180 2802276 2824720 2860029 2872960 2892672 2897415 2908872 2940660 2952288 2990880 3028266 3035520 3052520 3073464 3090576 3113640 3125952 3136704 3172608 3177810 3214080 3232080 3272481 3280320 3283737 3321216 3321324 3339816 3364740 3389664 3414960 3434085 3447552 3473280 3476898 3502845 3528792 3589056 3615840 3636090 3642624 3663024 3690240 3690360 3736368 3757293 3813372 3841830 3863220 3878496 3907440 3920880 3936384 3965760 3969891 3987840 4037688 4097952 4120768 4120902 4151520 4151655 4167936 4174770 4182272 4237080 4309440 4313929 4363308 4373760 4378316 4410990 4428432 4453088 4486320 4519552 4553280 4578780 4635864 4670460 4705056 4731406 4766715 4785408 4821120 4848120 4884032 4920480 4981824 5009724 5047110 5084496 5122440 5150960 5171328 5209920 5215347 5227840 5287680 5293188 5383584 5454135 5463936 5472895 5494536 5535360 5535540 5566360 5604552 5649440 5720058 5745920 5785344 5794830 5817744 5881320 5904576 5981760 6056532 6071040 6105040 6146928 6181152 6181353 6227280 6251904 6262155 6273408 6355620 6464160 6544962 6560640 6567474 6616485 6642432 6642648 6679632 6729480 6779328 6829920 6868170 6946560 6953796 7005690 7057584 7097109 7178112 7231680 7272180 7326048 7380720 7472736 7514586 7570665 7626744 7683660 7726440 7756992 7814880 7841760 7872768 7931520 7939782 7975680 8075376 8195904 8241536 8241804 8303040 8303310 8349540 8474160 8580087 8618880 8627858 8692245 8726616 8756632 8821980 8856864 8906176 8972640 9039104 9106560 9157560 9271728 9340920 9410112 9462812 9533430 9642240 9696240 9768064 9840960 9851211 9963648 10019448 10094220 10168992 10244880 10301920 10302255 10342656 10419840 10430694 10455680 10586376 10767168 10908270 10927872 10945790 10989072 11070720 11071080 11132720 11209104 11271879 11298880 11440116 11589660 11635488 11762640 11809152 11828515 11909673 11963520 12113064 12210080 12293856 12362304 12362706 12454560 12503808 12524310 12546816 12711240 12928320 12941787 13089924 13121280 13134948 13232970 13285296 13359264 13458960 13558656 13659840 13736340 13907592 14011380 14115168 14194218 14300145 14356224 14463360 14544360 14652096 14761440 14945472 15029172 15141330 15253488 15367320 15452880 15513984 15629760 15646041 15683520 15863040 15879564 16150752 16362405 16391808 16418685 16483072 16483608 16606080 16606620 16699080 16948320 17160174 17237760 17255716 17384490 17453232 17513264 17643960 17713728 17812352 17945280 18213120 18315120 18543456 18544059 18681840 18786465 18820224 18925624 19066860 19392480 19536128 19681920 19702422 19849455 19927296 20038896 20188440 20337984 20489760 20603840 20604510 20839680 20861388 20911360 21172752 21291327 21534336 21569645 21816540 21891580 21978144 22142160 22265440 22418208 22543758 22597760 22880232 23179320 23270976 23525280 23618304 23657030 23819346 23927040 24226128 24420160 24587712 24724608 24725412 24909120 25048620 25422480 25740261 25856640 25883574 26076735 26179848 26269896 26465940 26570592 26718528 26917920 27117312 27319680 27472680 27815184 28022760 28230336 28388436 28600290 28926720 29088720 29304192 29522880 29553633 29890944 30058344 30282660 30506976 30734640 30905760 30906765 31027968 31259520 31292082 31367040 31759128 32301504 32724810 32783616 32837370 32967216 33212160 33213240 33398160 33815637 33896640 34320348 34511432 34768980 34906464 35026528 35287920 35427456 35485545 35624704 35890560 36630240 37086912 37088118 37363680 37572930 37640448 37851248 38133720 38784960 38825361 39363840 39404844 39698910 40077792 40376880 40675968 40979520 41207680 41209020 41722776 42345504 42582654 42900435 43068672 43139290 43633080 43783160 43956288 44284320 44530880 44836416 45087516 45195520 45760464 46358640 46541952 46938123 47050560 47314060 47638692 48452256 48840320 49175424 49256055 49449216 49450824 49818240 50097240 50844960 51480522 51713280 51767148 52153470 52359696 52539792 52931880 53141184 53437056 53835840 54639360 54945360 55630368 55632177 56045520 56359395 56460672 56776872 57200580 58177440 58608384 59045760 59107266 59548365 59781888 60116688 60565320 61013952 61469280 61811520 61813530 62519040 62584164 62734080 63518256 63873981 64603008 64708935 65449620 65674740 65934432 66426480 66796320 67631274 67793280 68640696 69022864 69537960 69812928 70053056 70575840 70854912 70971090 71781120 73260480 73336793 74173824 74176236 74727360 75145860 75702496 76267440 77569920 77650722 78230205 78809688 79397820 80155584 80753760 81351936 81959040 82415360 82418040 83445552 84691008 85165308 85800870 86278580 87266160 87566320 87912576 88568640 88660899 89061760 89672832 90175032 91520928 92717280 92720295 93083904 93876246 94101120 94628120 95277384 96904512 97680640 98350848 98512110 98901648 99636480 100194480 101446911 101689920 102961044 103534296 104306940 104719392 105079584 105863760 106282368 106456635 106874112 107671680 109890720 111260736 111264354 112091040 112718790 112921344 113553744 114401160 116354880 116476083 118091520 118214532 119096730 120233376 121130640 122027904 122938560 123623040 123627060 125168328 127036512 127747962 128701305 129206016 129417870 130899240 131349480 131868864 132852960 133592640 135262548 135586560 137281392 138045728 139075920 139625856 140106112 141151680 141942180 146520960 146673586 147768165 148347648 148352472 149454720 150291720 151404992 152534880 155139840 155301444 156460410 157619376 158795640 160311168 161507520 163918080 164836080 166891104 169078185 169382016 170330616 171601740 172557160 174532320 175132640 175825152 177137280 177321798 178123520 179345664 180350064 183041856 185434560 185440590 187752492 188202240 189256240 190554768 191621943 193809024 194126805 197024220 197803296 200388960 202893822 203379840 205922088 207068592 208613880 209438784 210159168 211727520 212564736 212913270 215343360 219781440 220010379 222521472 222528708 224182080 225437580 227107488 228802320 232709760 232952166 234690615 236429064 238193460 240466752 242261280 244055808 245877120 247246080 247254120 250336656 254073024 255495924 257402610 258835740 261798480 262698960 263737728 265705920 265982697 267185280 270525096 274562784 276091456 278151840 278160885 279251712 280212224 282303360 283884360 293041920 293347172 295536330 296704944 298909440 300583440 302809984 305069760 310602888 312920820 315238752 317591280 319369905 320622336 323015040 329672160 333782208 338156370 338764032 340661232 343203480 345114320 349064640 349428249 350265280 354274560 354643596 360700128 366083712 366683965 370869120 370881180 375504984 378512480 381109536 383243886 387618048 388253610 394048440 395606592 400777920 405787644 406759680 411844176 414137184 417227760 418877568 420318336 423455040 425826540 439562880 440020758 443304495 445042944 445057416 448364160 450875160 454214976 457604640 465419520 465904332 469381230 472858128 476386920 480933504 484522560 491754240 494508240 500673312 507234555 508146048 510991848 514805220 517671480 523596960 525397920 527475456 531411840 531965394 534370560 541050192 549125568 552182912 556303680 556321770 564606720 567768720 574865829 582380415 586694344 591072660 593409888 601166880 605619968 610139520 621205776 625841640 630477504 635182560 638739810 646030080 659344320 660031137 667564416 676312740 681322464 686406960 690228640 698129280 698856498 700530560 709287192 721400256 732167424 733367930 741738240 741762360 751009968 757024960 762219072 766487772 776507220 788096880 791213184 797948091 801555840 811575288 823688352 828274368 834455520 837755136 840636672 846910080 851653080 879125760 880041516 886608990 890114832 896728320 901750320 908429952 915209280 931808664 938762460 945716256 952773840 958109715 961867008 969045120 989016480 1001346624 1014469110 1016292096 1021983696 1029610440 1035342960 1047193920 1048284747 1050795840 1062823680 1063930788 1082100384 1098251136 1100051895 1104365824 1112607360 1112643540 1135537440 1149731658 1164760830 1173388688 1182145320 1186819776 1202333760 1220279040 1242411552 1251683280 1260955008 1270365120 1277479620 1318688640 1320062274 1329913485 1335128832 1352625480 1362644928 1372813920 1380457280 1396258560 1397712996 1401061120 1418574384 1442800512 1466735860 1483524720 1502019936 1514049920 1524438144 1532975544 1553014440 1576193760 1582426368 1595896182 1603111680 1623150576 1647376704 1656548736 1668911040 1693820160 1703306160 1724597487 1747141245 1760083032 1773217980 1780229664 1803500640 1816859904 1830418560 1863617328 1877524920 1891432512 1905547680 1916219430 1938090240 1978032960 1980093411 2002693248 2028938220 2043967392 2059220880 2070685920 2094387840 2096569494 2101591680 2127861576 2164200768 2196502272 2200103790 2225214720 2225287080 2271074880 2299463316 2329521660 2346777376 2364290640 2373639552 2404667520 2484823104 2503366560 2521910016 2540730240 2554959240 2637377280 2640124548 2659826970 2705250960 2725289856 2745627840 2760914560 2795425992 2837148768 2874329145 2885601024 2933471720 2967049440 3004039872 3028099840 3048876288 3065951088 3106028880 3144854241 3152387520 3191792364 3246301152 3294753408 3300155685 3313097472 3337822080 3406612320 3449194974 3494282490 3520166064 3546435960 3560459328 3607001280 3660837120 3727234656 3755049840 3782865024 3811095360 3832438860 3956065920 3960186822 3989740455 4005386496 4057876440 4087934784 4118441760 4141371840 4188775680 4193138988 4203183360 4255723152 4328401536 4400207580 4450574160 4542149760 4598926632 4659043320 4693554752 4728581280 4747279104 4809335040 4969646208 5006733120 5081460480 5109918480 5241423735 5280249096 5319653940 5410501920 5450579712 5491255680 5521829120 5590851984 5674297536 5748658290 5866943440 5934098880 5940280233 6008079744 6131902176 6212057760 6289708482 6304775040 6383584728 6492602304 6589506816 6600311370 6675644160 6813224640 6898389948 6988564980 7040332128 7092871920 7120918656 7214002560 7454469312 7510099680 7565730048 7622190720 7664877720 7912131840 7920373644 7979480910 8115752880 8175869568 8236883520 8282743680 8386277976 8511446304 8622987435 8656803072 8800415160 8901148320 9084299520 9197853264 9318086640 9387109504 9457162560 9900467055 9939292416 10013466240 10219836960 10482847470 10560498192 10639307880 10821003840 10982511360 11181703968 11348595072 11497316580 11733886880 11868197760 11880560466 12016159488 12263804352 12424115520 12579416964 12609550080 12767169456 12985204608 13200622740 13626449280 13796779896 13977129960 14080664256 14185743840 14241837312 14428005120 14908938624 15020199360 15244381440 15329755440 15724271205 15840747288 15958961820 16231505760 16351739136 16473767040 16565487360 16772555952 17022892608 17245974870 17600830320 17802296640 17820840699 18395706528 18636173280 18774219008 18914325120 19800934110 20026932480 20439673920 20965694940 21120996384 21278615760 21642007680 22363407936 22697190144 22994633160 23467773760 23736395520 23761120932 24527608704 24848231040 25158833928 25534338912 25970409216 26401245480 27252898560 27593559792 27954259920 28161328512 28371487680 29701401165 29817877248 30040398720 30659510880 31448542410 31681494576 31917923640 32463011520 32947534080 33545111904 34045785216 34491949740 35201660640 35604593280 35641681398 36791413056 37272346560 37828650240 39601868220 40879347840 41931389880 42241992768 42557231520 43284015360 44726815872 45989266320 46935547520 47522241864 49055217408 49696462080 50317667856 51068677824 52802490960 53462522097 55187119584 55908519840 56322657024 56742975360 59402802330 60080797440 61319021760 62897084820 63362989152 63835847280 64926023040 67090223808 68091570432 68983899480 70403321280 71209186560 71283362796 73582826112 74544693120 79203736440 81758695680 83862779760 84483985536 85114463040 89104203495 89453631744 91978532640 93871095040 95044483728 100635335712 102137355648 105604981920 106925044194 110374239168 111817039680 113485950720 118805604660 122638043520 125794169640 126725978304 127671694560 129852046080 134180447616 137967798960 140806642560 142566725592 147165652224 149089386240 158407472880 167725559520 168967971072 170228926080 178208406990 183957065280 190088967456 201270671424 204274711296 211209963840 213850088388 220748478336 223634079360 237611209320 245276087040 251588339280 253451956608 255343389120 267312610485 268360895232 275935597920 281613285120 285133451184 316814945760 335451119040 340457852160 356416813980 367914130560 380177934912 402541342848 422419927680 427700176776 441496956672 447268158720 475222418640 503176678560 506903913216 510686778240 534625220970 551871195840 570266902368 633629891520 670902238080 712833627960 735828261120 760355869824 805082685696 844839855360 855400353552 950444837280 1006353357120 1021373556480 1069250441940 1103742391680 1140533804736 1267259783040 1341804476160 1425667255920 1520711739648 1710800707104 1900889674560 2012706714240 2138500883880 2207484783360 2281067609472 2534519566080 2851334511840 3421601414208 3801779349120 4025413428480 4277001767760 4562135218944 5702669023680 6843202828416 7603558698240 8554003535520 11405338047360 13686405656832 17108007071040 22810676094720 34216014142080 68432028284160
- Sum of all divisors σ(n): 272956282468884
- Sum of proper divisors (its aliquot sum) s(n): 204524254184724
- 68432028284160 is an abundant number, because the sum of its proper divisors (204524254184724) is greater than itself. Its abundance is 136092225900564
Bases of 68432028284160
- Binary: 11111000111101000100101011110010110101000000002
- Hexadecimal: 0x3E3D12BCB500
- Base-36: O998MS000
Squares and roots of 68432028284160
- 68432028284160 squared (684320282841602) is 4682942495084074233706905600
- 68432028284160 cubed (684320282841603) is 320463253276688169718200042062711095296000
-
The
square root of 68432028284160 is 8272365.3379284453 -
The
cube root of 68432028284160 is 40902.8093080433
Scales and comparisons
How big is 68432028284160?- 68,432,028,284,160 seconds is equal to 2,175,926 years, 42 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 68,432,028,284,160 would take you about five million, four hundred thirty-nine thousand, eight hundred seventeen 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 68432028284160 cubic inches would be around 3408.6 feet tall.
Recreational maths with 68432028284160
- 68432028284160 backwards is 06148282023486
- 68432028284160 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 68432028284160's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 68432028284160 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 68432028284160 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/68432028284160/
Chicago style:
Numbermatics. 2024. "Number 68432028284160 - Facts about the integer". https://numbermatics.com/n/68432028284160/
The information we have on file for 68432028284160 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 68432028284160, math, Factors of 68432028284160, curriculum, school, college, exams, university, Prime factorization of 68432028284160, STEM, science, technology, engineering, physics, economics, calculator, sixty-eight trillion, four hundred thirty-two billion, twenty-eight million, two hundred eighty-four thousand, one hundred sixty.