21188316116716728

Names of 21188316116716728

• Cardinal: 21188316116716728 can be written as Twenty-one quadrillion, one hundred eighty-eight trillion, three hundred sixteen billion, one hundred sixteen million, seven hundred sixteen thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 2.1188316116716728 × 10¹⁶

Factors of 21188316116716728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1467

Divisors of 21188316116716728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 373 392 542 588 746 811 813 1084 1119 1176 1492 1622 1626 1897 2168 2238 2433 2611 2984 3244 3252 3794 4476 4866 5222 5677 5691 6488 6504 7588 7833 8952 9732 10444 11354 11382 13279 15176 15666 17031 18277 19464 20888 22708 22764 26558 31332 34062 36554 39739 39837 45416 45528 53116 54831 62664 68124 73108 73441 79478 79674 101083 106232 109662 119217 136248 146216 146882 158956 159348 202166 219324 219781 220323 238434 293764 302503 303249 317912 318696 404332 438648 439562 440646 476868 514087 587528 605006 606498 657721 659343 707581 808664 879124 881292 907509 953736 1028174 1210012 1212996 1315442 1318686 1415162 1538467 1542261 1758248 1762584 1815018 1973163 2056348 2117521 2122743 2420024 2425992 2630884 2637372 2830324 3076934 3084522 3598609 3630036 3946326 4112696 4235042 4245486 4604047 4615401 4953067 5261768 5274744 5660648 6153868 6169044 6352563 7197218 7260072 7892652 8470084 8490972 9208094 9230802 9906134 10769269 10795827 12307736 12338088 12705126 13812141 14394436 14822647 14859201 15785304 16940168 16981944 18416188 18461604 19812268 21538538 21591654 25410252 27393493 27624282 28788872 29645294 29718402 32228329 32307807 36832376 36923208 39624536 43077076 43183308 44467941 50820504 54786986 55248564 59290588 59436804 59560651 64456658 64615614 81978313 82180479 86154152 86366616 88935882 96684987 109573972 110497128 118581176 118873608 119121302 128913316 129231228 163956626 164360958 177871764 178242391 178681953 191754451 193369974 219147944 238242604 245329933 245934939 257826632 258462456 327913252 328721916 355743528 356484782 357363906 383508902 386739948 416924557 476485208 490659866 491869878 534727173 573848191 575263353 655826504 657443832 712969564 714727812 735989799 767017804 773479896 833849114 981319732 983739756 1069454346 1147696382 1150526706 1247696737 1250773671 1342281157 1425939128 1429455624 1471979598 1534035608 1667698228 1717309531 1721544573 1962639464 1967479512 2138908692 2295392764 2301053412 2495393474 2501547342 2684562314 2918471899 2943959196 3335396456 3434619062 3443089146 3743090211 4016937337 4026843471 4277817384 4590785528 4602106824 4990786948 5003094684 5151928593 5369124628 5836943798 5887918392 6869238124 6886178292 7486180422 8033874674 8053686942 8733877159 8755415697 9981573896 10006189368 10303857186 10738249256 11673887596 12021166717 12050812011 13738476248 13772356584 14972360844 16067749348 16107373884 17467754318 17510831394 20607714372 22216122823 23347775192 24042333434 24101624022 26201631477 29944721688 32135498696 32214747768 34935508636 35021662788 36063500151 41215428744 44432245646 48084666868 48203248044 48303687961 52403262954 66484411843 66648368469 69871017272 70043325576 72127000302 88864491292 96169333736 96406496088 96607375922 104806525908 132968823686 133296736938 144254000604 144911063883 155512859761 177728982584 193214751844 199453235529 209613051816 265937647372 266593473876 288508001208 289822127766 311025719522 338125815727 386429503688 398906471058 465390882901 466538579283 531875294744 533186947752 579644255532 622051439044 676251631454 797812942116 930781765802 933077158566 1014377447181 1088590018327 1159288511064 1244102878088 1352503262908 1396172648703 1595625884232 1861563531604 1866154317132 2028754894362 2177180036654 2366880710089 2705006525816 2792345297406 3257736180307 3265770054981 3723127063208 3732308634264 4057509788724 4354360073308 4733761420178 5584690594812 6515472360614 6531540109962 7100642130267 8115019577448 8708720146616 9467522840356 9773208540921 11169381189624 13030944721228 13063080219924 14201284260534 18017275609453 18935045680712 19546417081842 26061889442456 26126160439848 28402568521068 36034551218906 39092834163684 54051826828359 56805137042136 72069102437812 78185668327368 108103653656718 126120929266171 144138204875624 216207307313436 252241858532342 378362787798513 432414614626872 504483717064684 756725575597026 882846504863197 1008967434129368 1513451151194052 1765693009726394 2648539514589591 3026902302388104 3531386019452788 5297079029179182 7062772038905576 10594158058358364 21188316116716728
• Sum of all divisors σ(n): 62089668029533320
• Sum of proper divisors (its aliquot sum) s(n): 40901351912816592
• 21188316116716728 is an abundant number, because the sum of its proper divisors (40901351912816592) is greater than itself. Its abundance is 19713035796099864

Bases of 21188316116716728

• Binary: 1001011010001101010100101000111100001101000110010111000₂
• Hexadecimal: 0x4B46A947868CB8
• Base-36: 5SMMQ1PS6GO

Squares and roots of 21188316116716728

• 21188316116716728 squared (21188316116716728²) is 448944739861917844322890595025984
• 21188316116716728 cubed (21188316116716728³) is 9512383067131472741046434555019742956349927460352
• The square root of 21188316116716728 is 145562069.6360034859
• The cube root of 21188316116716728 is 276714.6471117869

Scales and comparisons

• 21,188,316,116,716,728 seconds is equal to 673,722,912 years, 38 weeks, 5 days, 18 hours, 38 minutes, 48 seconds.
• To count from 1 to 21,188,316,116,716,728 would take you about two billion, twenty-one million, one hundred sixty-eight thousand, seven hundred thirty-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 21188316116716728 cubic inches would be around 23059.6 feet tall.

Recreational maths with 21188316116716728

• 21188316116716728 backwards is 82761761161388112
• The number of decimal digits it has is: 17
• The sum of 21188316116716728's digits is 69
• More coming soon!