221300773232121728

Names of 221300773232121728

• Cardinal: 221300773232121728 can be written as Two hundred twenty-one quadrillion, three hundred trillion, seven hundred seventy-three billion, two hundred thirty-two million, one hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 2.21300773232121728 × 10¹⁷

Factors of 221300773232121728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1269

Divisors of 221300773232121728

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 8 16 17 29 32 34 58 64 68 71 89 116 128 136 142 178 232 272 284 289 356 464 493 544 568 578 712 841 928 986 1061 1088 1136 1156 1207 1424 1513 1682 1856 1972 2059 2122 2176 2272 2312 2414 2581 2848 3026 3364 3712 3944 4118 4244 4544 4624 4828 5162 5696 6052 6319 6728 7888 8236 8381 8488 9088 9248 9656 10324 11392 12104 12638 13456 14297 15776 16472 16762 16976 18037 18496 19312 20519 20648 24208 25276 25721 26912 28594 30769 31552 32944 33524 33952 35003 36074 36992 38624 41038 41296 43877 48416 50552 51442 53824 57188 59711 61538 63104 65888 67048 67904 70006 72148 74849 75331 77248 82076 82592 87754 94429 96832 101104 102884 107423 107648 114376 119422 123076 131776 134096 135808 140012 144296 149698 150662 154496 164152 165184 175508 183251 188858 193664 202208 205768 214846 228752 238844 243049 246152 263552 268192 280024 288592 299396 301324 306629 328304 330368 351016 366502 377716 404416 411536 429692 457504 477688 486098 492304 523073 536384 560048 577184 595051 598792 602648 613258 656608 702032 733004 745909 755432 808832 823072 859384 892301 915008 955376 972196 984608 1015087 1046146 1072768 1120096 1125721 1154368 1190102 1197584 1205296 1226516 1272433 1280627 1313216 1404064 1466008 1491818 1510864 1605293 1646144 1718768 1784602 1826191 1830016 1910752 1944392 1969216 2030174 2092292 2184599 2240192 2251442 2308736 2380204 2395168 2410592 2453032 2544866 2561254 2626432 2738441 2808128 2932016 2983636 3021728 3115267 3210586 3292288 3437536 3569204 3652382 3821504 3888784 3938432 4060348 4184584 4369198 4480384 4502884 4760408 4790336 4821184 4906064 5089732 5122508 5314279 5476882 5616256 5864032 5967272 6043456 6230534 6421172 6704459 6875072 7138408 7304764 7643008 7777568 8120696 8369168 8738396 8892241 9005768 9520816 9580672 9642368 9812128 10179464 10245016 10628558 10953764 11728064 11934544 12086912 12461068 12842344 13408918 13750144 14276816 14609528 15169117 15555136 16241392 16738336 17256479 17476792 17784482 18011536 19041632 19137257 19624256 20358928 20490032 21257116 21631361 21770659 21907528 23456128 23869088 24922136 25684688 26817836 27289981 28553632 29219056 30338234 31110272 32482784 32645909 33476672 34512958 34953584 35568964 36023072 37138183 38083264 38274514 39248512 40717856 40980064 42514232 43262722 43541318 43815056 46553497 47738176 49844272 51369376 52959539 53635672 54579962 57107264 58438112 60676468 63353371 64965568 65291818 66953344 69025916 69907168 71137928 72046144 74276366 76166528 76549028 79414789 79926191 81435712 81960128 85028464 86525444 87082636 87630112 90342743 93106994 95476352 99688544 100189169 102738752 105919078 107271344 109159924 113975803 114214528 116876224 121352936 126706742 129931136 130583636 138051832 139814336 142275856 144092288 148552732 153098056 158829578 159852382 162871424 163920256 170056928 173050888 174165272 175260224 180685486 186213988 194429311 199377088 200378338 205477504 211838156 214542688 218319848 227951606 233752448 242705872 253413484 257874989 261167272 276103664 279628672 284551712 297105464 306196112 317659156 319704764 325333369 340113856 346101776 348330544 350520448 361370972 372427976 388858622 398754176 400756676 423676312 429085376 436639696 455903212 485411744 506826968 515749978 522334544 552207328 554980453 569103424 594210928 612392224 631349111 635318312 639409528 650666738 680227712 692203552 696661088 722741944 744855952 777717244 791409449 801513352 847352624 858170752 873279392 911806424 946731361 970823488 1013653936 1031499956 1044669088 1077007307 1104414656 1109960906 1138206848 1188421856 1224784448 1262698222 1270636624 1278819056 1301333476 1350051413 1358745247 1384407104 1393322176 1445483888 1489711904 1535826631 1555434488 1582818898 1603026704 1694705248 1703215873 1746558784 1823612848 1893462722 1937588651 1941646976 2027307872 2062999912 2089338176 2154014614 2208829312 2219921812 2317859539 2376843712 2449568896 2525396444 2541273248 2557638112 2602666952 2700102826 2717490494 2768814208 2786644352 2890967776 2905485901 2979423808 3071653262 3110868976 3165637796 3206053408 3305298287 3389410496 3406431746 3493117568 3647225696 3786925444 3875177302 4054615744 4125999824 4178676352 4308029228 4439843624 4635719078 4753687424 5050792888 5082546496 5115276224 5205333904 5400205652 5434980988 5638450019 5781935552 5810971802 5958847616 6143306524 6221737952 6331275592 6412106816 6610596574 6778820992 6812863492 7113430999 7294451392 7573850888 7750354604 8109231488 8251999648 8616058456 8879687248 9271438156 9434667701 10101585776 10165092992 10230552448 10410667808 10800411304 10869961976 11276900038 11563871104 11621943604 12286613048 12443475904 12662551184 12824213632 13221193148 13625726984 14226861998 14588902784 15147701776 15500709208 16094433137 16503999296 17232116912 17759374496 18309124219 18542876312 18869335402 20203171552 20821335616 21600822608 21739923952 22553800076 22950874021 23098669199 23243887208 24573226096 24886951808 25325102368 26442386296 27251453968 28453723996 28954669841 30295403552 31001418416 32188866274 33007998592 34464233824 35518748992 36618248438 37085752624 37738670804 39403612163 40406343104 41642671232 43201645216 43479847904 45107600152 45901748042 46197338398 46487774416 49146452192 49393260317 50650204736 52884772592 54502907936 56190070879 56907447992 57909339682 60590807104 62002836832 64377732548 67217926631 68928467648 71037497984 73236496876 74171505248 75477341608 78807224326 80812686208 84259091129 86403290432 86959695808 90215200304 91803496084 92394676796 92975548832 95853650323 98292904384 98786520634 101300409472 105769545184 109005815872 112380141758 113814895984 115818679364 120928326983 121181614208 124005673664 128755465096 134435853262 137856935296 146472993752 148343010496 150954683216 157614448652 168518182258 172806580864 173919391616 180430400608 183606992168 184789353592 185951097664 191707300646 196585808768 197573041268 206289498971 211539090368 218011631744 224760283516 227629791968 231637358728 241856653966 248011347328 257510930192 268871706524 273605363329 292945987504 296686020992 301909366432 315228897304 337036364516 360860801216 367213984336 369578707184 371902195328 383414601292 395146082536 412578997942 423078180736 449520567032 455259583936 463274717456 483713307932 515021860384 537743413048 547210726658 585891975008 603818732864 630457794608 669861406771 674072729032 721721602432 734427968672 739157414368 766829202584 790292165072 825157995884 839685425389 899041134064 910519167872 926549434912 967426615864 1030043720768 1075486826096 1094421453316 1142704752727 1171783950016 1207637465728 1260915589216 1339722813542 1348145458064 1432404549193 1468855937344 1478314828736 1533658405168 1580584330144 1629512055491 1650315991768 1679370850778 1798082268128 1853098869824 1934853231728 2055781558711 2060087441536 2150973652192 2188842906632 2285409505454 2343567900032 2521831178432 2679445627084 2696290916128 2864809098386 2937711874688 2956629657472 3067316810336 3161168660288 3259024110982 3300631983536 3358741701556 3506921482507 3596164536256 3706197739648 3869706463456 4111563117422 4301947304384 4377685813264 4570819010908 5043662356864 5358891254168 5392581832256 5729618196772 5982395470159 6134633620672 6322337320576 6518048221964 6601263967072 6717483403112 7013842965014 7192329072512 7739412926912 8223126234844 8603894608768 8755371626528 9141638021816 10717782508336 10785163664512 11459236393544 11964790940318 12269267241344 13036096443928 13202527934144 13434966806224 14027685930028 15478825853824 16446252469688 17510743253056 18283276043632 19425980796359 21435565016672 22918472787088 23929581880636 24350877336281 26072192887856 26405055868288 26869933612448 28055371860056 32892504939376 35021486506112 36566552087264 38851961592718 42871130033344 45836945574176 47859163761272 48701754672562 52144385775712 53739867224896 56110743720112 59617665202619 65785009878752 73133104174528 77703923185436 85742260066688 91673891148352 95718327522544 97403509345124 101700722992703 104288771551424 107479734449792 112221487440224 119235330405238 131570019757504 146266208349056 155407846370872 183347782296704 191436655045088 194807018690248 203401445985406 208577543102848 224442974880448 238470660810476 263140039515008 310815692741744 382873310090176 389614037380496 406802891970812 448885949760896 476941321620952 621631385483488 765746620180352 779228074760992 813605783941624 953882643241904 1243262770966976 1558456149521984 1627211567883248 1728912290875951 1907765286483808 2486525541933952 3116912299043968 3254423135766496 3457824581751902 3815530572967616 6508846271532992 6915649163503804 7631061145935232 13017692543065984 13831298327007608 27662596654015216 55325193308030432 110650386616060864 221300773232121728
• Sum of all divisors σ(n): 497865465999392400
• Sum of proper divisors (its aliquot sum) s(n): 276564692767270672
• 221300773232121728 is an abundant number, because the sum of its proper divisors (276564692767270672) is greater than itself. Its abundance is 55263919535148944

Bases of 221300773232121728

• Binary: 1100010010001101111110000101111001000001010001011110000000₂
• Hexadecimal: 0x31237E179051780
• Base-36: 1OJ0KRQDRHQ8

Squares and roots of 221300773232121728

• 221300773232121728 squared (221300773232121728²) is 48974032233134964726871984609705984
• 221300773232121728 cubed (221300773232121728³) is 10837991201487620896467490935792610664319990578020352
• The square root of 221300773232121728 is 470426161.2964586475
• The cube root of 221300773232121728 is 604868.5124922467

Scales and comparisons

• 221,300,773,232,121,728 seconds is equal to 7,036,680,060 years, 28 weeks, 2 days, 10 hours, 42 minutes, 8 seconds.
• To count from 1 to 221,300,773,232,121,728 would take you about twenty-one billion, one hundred ten million, forty thousand, one hundred eighty-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 221300773232121728 cubic inches would be around 50405.7 feet tall.

Recreational maths with 221300773232121728

• 221300773232121728 backwards is 827121232377003122
• The number of decimal digits it has is: 18
• The sum of 221300773232121728's digits is 53
• More coming soon!