668116218416224032

Names of 668116218416224032

• Cardinal: 668116218416224032 can be written as Six hundred sixty-eight quadrillion, one hundred sixteen trillion, two hundred eighteen billion, four hundred sixteen million, two hundred twenty-four thousand and thirty-two.

Scientific notation

• Scientific notation: 6.68116218416224032 × 10¹⁷

Factors of 668116218416224032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 653662434686

Divisors of 668116218416224032

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 72 78 84 91 96 104 108 112 117 126 144 156 168 169 182 189 208 216 224 234 252 273 288 312 336 338 351 364 378 416 432 468 504 507 546 624 672 676 702 728 756 819 864 936 1008 1014 1092 1183 1248 1352 1404 1456 1512 1521 1638 1872 2016 2028 2184 2366 2457 2704 2808 2912 3024 3042 3276 3549 3744 4056 4368 4563 4732 4914 5408 5616 6048 6084 6552 7098 8112 8736 9126 9464 9828 10647 11232 12168 13104 14196 16224 18252 18928 19656 21294 24336 26208 28392 31941 36504 37856 39312 42588 48672 56784 63882 73008 78624 85176 113568 127764 146016 170352 255528 340704 511056 1022112 653662434661 1307324869322 1960987303983 2614649738644 3921974607966 4575637042627 5229299477288 5882961911949 7843949215932 8497611650593 9151274085254 10458598954576 11765923823898 13726911127881 15687898431864 16995223301186 17648885735847 18302548170508 20917197909152 23531847647796 25492834951779 27453822255762 31375796863728 33990446602372 35297771471694 36605096341016 41180733383643 47063695295592 50985669903558 54907644511524 59483281554151 62751593727456 67980893204744 70595542943388 73210192682032 76478504855337 82361466767286 94127390591184 101971339807116 109815289023048 110468951457709 118966563108302 123542200150929 135961786409488 141191085886776 146420385364064 152957009710674 164722933534572 178449844662453 188254781182368 203942679614232 219630578046096 220937902915418 229435514566011 237933126216604 247084400301858 271923572818976 282382171773552 305914019421348 329445867069144 331406854373127 356899689324906 407885359228464 439261156092192 441875805830836 458871029132022 475866252433208 494168800603716 535349533987359 564764343547104 611828038842696 658891734138288 662813708746254 713799378649812 773282660203963 815770718456928 883751611661672 917742058264044 951732504866416 988337601207432 994220563119381 1070699067974718 1223656077685392 1317783468276576 1325627417492508 1427598757299624 1546565320407926 1606048601962077 1767503223323344 1835484116528088 1903465009732832 1976675202414864 1988441126238762 2141398135949436 2319847980611889 2447312155370784 2651254834985016 2855197514599248 2982661689358143 3093130640815852 3212097203924154 3535006446646688 3670968233056176 3953350404829728 3976882252477524 4282796271898872 4639695961223778 5302509669970032 5710395029198496 5965323378716286 6186261281631704 6424194407848308 6959543941835667 7341936466112352 7953764504955048 8565592543797744 9279391922447556 10605019339940064 11930646757432572 12372522563263408 12848388815696616 13919087883671334 15907529009910096 17131185087595488 18558783844895112 20878631825507001 23861293514865144 24745045126526816 25696777631393232 27838175767342668 31815058019820192 37117567689790224 41757263651014002 47722587029730288 51393555262786464 55676351534685336 74235135379580448 83514527302028004 95445174059460576 111352703069370672 167029054604056008 222705406138741344 334058109208112016 668116218416224032
• Sum of all divisors σ(n): 2411543746949823360
• Sum of proper divisors (its aliquot sum) s(n): 1743427528533599328
• 668116218416224032 is an abundant number, because the sum of its proper divisors (1743427528533599328) is greater than itself. Its abundance is 1075311310117375296

Bases of 668116218416224032

• Binary: 100101000101101000000010100100101011011000000101011100100000₂
• Hexadecimal: 0x945A0292B605720
• Base-36: 52QJFLJNGCO0

Squares and roots of 668116218416224032

• 668116218416224032 squared (668116218416224032²) is 446379281310795576374344396814337024
• 668116218416224032 cubed (668116218416224032³) is 298233237408720607326798710555379666850926543536160768
• The square root of 668116218416224032 is 817383764.4682111203
• The cube root of 668116218416224032 is 874213.1564434603

Scales and comparisons

• 668,116,218,416,224,032 seconds is equal to 21,244,029,126 years, 25 weeks, 15 hours, 7 minutes, 12 seconds.
• To count from 1 to 668,116,218,416,224,032 would take you about sixty-three billion, seven hundred thirty-two million, eighty-seven thousand, three hundred seventy-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 668116218416224032 cubic inches would be around 72851.1 feet tall.

Recreational maths with 668116218416224032

• 668116218416224032 backwards is 230422614812611866
• 668116218416224032 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 668116218416224032's digits is 63
• More coming soon!