21688472808536418

Names of 21688472808536418

• Cardinal: 21688472808536418 can be written as Twenty-one quadrillion, six hundred eighty-eight trillion, four hundred seventy-two billion, eight hundred eight million, five hundred thirty-six thousand, four hundred eighteen.

Scientific notation

• Scientific notation: 2.1688472808536418 × 10¹⁶

Factors of 21688472808536418

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 7452

Divisors of 21688472808536418

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 281 486 558 562 601 837 843 1202 1674 1686 1801 1803 2511 2529 3602 3606 4733 5022 5058 5403 5409 7533 7587 8711 9466 10806 10818 14199 15066 15174 16209 16227 17422 18631 22761 26133 28398 32418 32454 37262 42597 45522 48627 48681 52266 55831 55893 68283 78399 85194 97254 97362 111662 111786 127791 136566 145881 146043 146723 156798 167493 167679 168881 235197 255582 291762 292086 293446 334986 335358 337762 383373 437643 440169 470394 502479 503037 506081 506643 705591 766746 875286 880338 1004958 1006074 1012162 1013286 1082401 1150119 1320507 1329973 1411182 1507437 1509111 1518243 1519929 2116773 2164802 2300238 2641014 2659946 2844533 3014874 3018222 3036486 3039858 3247203 3961521 3989919 4233546 4522311 4527333 4554729 4559787 5235311 5689066 6494406 7923042 7979838 8524133 8533599 9044622 9054666 9109458 9119574 9741609 10470622 11884563 11969757 13566933 13664187 13679361 15688511 15705933 17048266 17067198 19483218 23769126 23939514 25572399 25600797 27133866 27328374 27358722 29224827 31377022 31411866 33554431 35653689 35909271 40992561 41038083 41229163 47065533 47117799 51144798 51201594 58449654 67108862 71307378 71818542 76717197 76802391 81985122 82076166 82458326 87674481 88180523 94131066 94235598 100663293 107727813 122977683 123687489 141196599 141353397 153434394 153604782 175348962 176361046 201326586 215455626 230151591 230407173 245955366 247374978 263023443 264248123 264541569 282393198 282706794 301989879 304154681 323183439 371062467 423589797 424060191 460303182 460814346 526046886 528496246 529083138 603979758 608309362 646366878 690454773 691221519 742124934 792744369 793624707 799313773 847179594 848120382 905969637 912464043 1113187401 1270769391 1272180573 1380909546 1382443038 1585488738 1587249414 1598627546 1811939274 1824928086 2071364319 2226374802 2378233107 2380874121 2395281373 2397941319 2541538782 2544361146 2717908911 2737392129 3339562203 3812308173 4142728638 4756466214 4761748242 4790562746 4795882638 5123003933 5435817822 5474784258 6679124406 7134699321 7142622363 7185844119 7193823957 7624616346 8153726733 8212176387 9428795111 10018686609 10246007866 14269398642 14285244726 14371688238 14387647914 15369011799 16307453466 16424352774 18857590222 20037373218 21404097963 21427867089 21557532357 21581471871 24636529161 24778726963 28286385333 30738023598 42808195926 42855734178 43115064714 43162943742 46107035397 49273058322 49557453926 56572770666 64212293889 64672597071 64744415613 73909587483 74253722563 74336180889 84859155999 92214070794 128424587778 129345194142 129488831226 138321106191 147819174966 148507445126 148672361778 158813121923 169718311998 194017791213 194233246839 222761167689 223008542667 254577467997 276642212382 317626243846 388035582426 388466493678 414963318573 445522335378 446017085334 476439365769 509154935994 582053373639 668283503067 669025628001 763732403991 829926637146 952878731538 1164106747278 1244889955719 1336567006134 1338051256002 1429318097307 1439564105173 1527464807982 2004850509201 2007076884003 2291197211973 2489779911438 2858636194614 2879128210346 4009701018402 4014153768006 4287954291921 4318692315519 4582394423946 6014551527603 6021230652009 8575908583842 8637384631038 12029103055206 12042461304018 12863862875763 12956076946557 18043654582809 25727725751526 25912153893114 36087309165618 38591588627289 38868230839671 44626487260363 77183177254578 77736461679342 89252974520726 116604692519013 133879461781089 233209385038026 267758923562178 349814077557039 401638385343267 699628155114078 803276770686534 1204915156029801 2409830312059602 3614745468089403 7229490936178806 10844236404268209 21688472808536418
• Sum of all divisors σ(n): 50605912064268288
• Sum of proper divisors (its aliquot sum) s(n): 28917439255731870
• 21688472808536418 is an abundant number, because the sum of its proper divisors (28917439255731870) is greater than itself. Its abundance is 7228966447195452

Bases of 21688472808536418

• Binary: 1001101000011011000110100010101011110010011100101100010₂
• Hexadecimal: 0x4D0D8D15793962
• Base-36: 5XJX6UYFG4I

Squares and roots of 21688472808536418

• 21688472808536418 squared (21688472808536418²) is 470389852766623579277731232270724
• 21688472808536418 cubed (21688472808536418³) is 10202037531140364653178072798184931600625189226632
• The square root of 21688472808536418 is 147270067.5919462529
• The cube root of 21688472808536418 is 278875.0476069689

Scales and comparisons

• 21,688,472,808,536,418 seconds is equal to 689,626,348 years, 23 weeks, 6 days, 13 hours, 18 seconds.
• To count from 1 to 21,688,472,808,536,418 would take you about two billion, sixty-eight million, eight hundred seventy-nine thousand and forty-five 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 21688472808536418 cubic inches would be around 23239.6 feet tall.

Recreational maths with 21688472808536418

• 21688472808536418 backwards is 81463580827488612
• 21688472808536418 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21688472808536418's digits is 81
• More coming soon!