21691317984122016

Names of 21691317984122016

• Cardinal: 21691317984122016 can be written as Twenty-one quadrillion, six hundred ninety-one trillion, three hundred seventeen billion, nine hundred eighty-four million, one hundred twenty-two thousand and sixteen.

Scientific notation

• Scientific notation: 2.1691317984122016 × 10¹⁶

Factors of 21691317984122016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 3202393648

Divisors of 21691317984122016

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 811 928 1044 1392 1622 2088 2433 2784 3244 4176 4866 6488 7299 8352 9732 12976 14598 19464 23519 25952 29196 38928 47038 58392 70557 77856 94076 116784 141114 188152 211671 233568 282228 376304 423342 564456 752608 846684 1128912 1693368 2257824 3386736 6773472 3202392803 6404785606 9607178409 12809571212 19214356818 25619142424 28821535227 38428713636 51238284848 57643070454 76857427272 92869391287 102476569696 115286140908 153714854544 185738782574 230572281816 278608173861 307429709088 371477565148 461144563632 557216347722 742955130296 835824521583 922289127264 1114432695444 1485910260592 1671649043166 2228865390888 2597140563233 2971820521184 3343298086332 4457730781776 5194281126466 6686596172664 7791421689699 8915461563552 10388562252932 13373192345328 15582843379398 20777124505864 23374265069097 26746384690656 31165686758796 41554249011728 46748530138194 62331373517592 75317076333757 83108498023456 93497060276388 124662747035184 150634152667514 186994120552776 225951229001271 249325494070368 301268305335028 373988241105552 451902458002542 602536610670056 677853687003813 747976482211104 903804916005084 1205073221340112 1355707374007626 1807609832010168 2410146442680224 2711414748015252 3615219664020336 5422829496030504 7230439328040672 10845658992061008 21691317984122016
• Sum of all divisors σ(n): 63890426449755360
• Sum of proper divisors (its aliquot sum) s(n): 42199108465633344
• 21691317984122016 is an abundant number, because the sum of its proper divisors (42199108465633344) is greater than itself. Its abundance is 20507790481511328

Bases of 21691317984122016

• Binary: 1001101000100000010001110000111001001110101010010100000₂
• Hexadecimal: 0x4D1023872754A0
• Base-36: 5XKXHWYIG80

Squares and roots of 21691317984122016

• 21691317984122016 squared (21691317984122016²) is 470513275888295199966286375904256
• 21691317984122016 cubed (21691317984122016³) is 10206053083043941394000370086465258833382237700096
• The square root of 21691317984122016 is 147279726.9963589253
• The cube root of 21691317984122016 is 278887.2417002793

Scales and comparisons

• 21,691,317,984,122,016 seconds is equal to 689,716,816 years, 12 weeks, 4 days, 12 hours, 33 minutes, 36 seconds.
• To count from 1 to 21,691,317,984,122,016 would take you about two billion, sixty-nine million, one hundred fifty thousand, four hundred forty-eight 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 21691317984122016 cubic inches would be around 23240.6 feet tall.

Recreational maths with 21691317984122016

• 21691317984122016 backwards is 61022148971319612
• The number of decimal digits it has is: 17
• The sum of 21691317984122016's digits is 63
• More coming soon!