21684067964208864

Names of 21684067964208864

• Cardinal: 21684067964208864 can be written as Twenty-one quadrillion, six hundred eighty-four trillion, sixty-seven billion, nine hundred sixty-four million, two hundred eight thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 2.1684067964208864 × 10¹⁶

Factors of 21684067964208864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3096

Divisors of 21684067964208864

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 229 244 288 366 432 458 488 549 687 732 864 916 976 1098 1374 1464 1647 1832 1952 2061 2196 2748 2801 2928 3294 3664 4122 4392 5496 5602 5856 6183 6588 7328 8244 8403 8784 10992 11204 12366 13176 13969 16488 16806 17568 21984 22408 24732 25209 26352 27938 32976 33612 41907 44816 49464 50418 52441 52704 55876 65952 67224 75627 83814 89632 98928 100836 104882 111752 125721 134448 151254 157323 167628 170861 197856 201672 209764 223504 251442 268896 302508 314646 335256 341722 377163 403344 419528 447008 471969 502884 512583 605016 629292 641429 670512 683444 754326 806688 839056 943938 1005768 1025166 1210032 1258584 1282858 1341024 1366888 1415907 1508652 1537749 1678112 1887876 1924287 2011536 2050332 2420064 2517168 2565716 2733776 2831814 3017304 3075498 3198901 3775752 3848574 4023072 4100664 4613247 5034336 5131432 5467552 5663628 5772861 6034608 6150996 6397802 7551504 7697148 7845601 8201328 9226494 9596703 10262864 11327256 11545722 12069216 12301992 12795604 15103008 15394296 15691202 16402656 17318583 18452988 19193406 20525728 22654512 23091444 23536803 24603984 25591208 28790109 30788592 31382404 34637166 36905976 38386812 39127169 45309024 46182888 47073606 49207968 51182416 57580218 61577184 62764808 69274332 70610409 73811952 76773624 78254338 86370327 92365776 94147212 102364832 115160436 117381507 125529616 138548664 141220818 146887241 147623904 153547248 156508676 172740654 184731552 188294424 211831227 230320872 234763014 251059232 277097328 282441636 293774482 307094496 313017352 345481308 352144521 376588848 423662454 440661723 460641744 469526028 478581661 554194656 564883272 587548964 626034704 690962616 704289042 753177696 847324908 881323446 921283488 939052056 957163322 1056433563 1129766544 1175097928 1252069408 1321985169 1381925232 1408578084 1435744983 1694649816 1762646892 1796642629 1878104112 1914326644 2112867126 2259533088 2350195856 2643970338 2763850464 2817156168 2871489966 3389299632 3525293784 3593285258 3756208224 3828653288 3965955507 4225734252 4307234949 4700391712 5287940676 5389927887 5634312336 5742979932 6778599264 7050587568 7186570516 7657306576 7931911014 8451468504 8614469898 8960121701 10575881352 10779855774 11268624672 11485959864 12921704847 14101175136 14373141032 15314613152 15863822028 16169783661 16902937008 17228939796 17920243402 21151762704 21559711548 22971919728 25843409694 26880365103 28746282064 31727644056 32339567322 33805874016 34457879592 35840486804 42303525408 43119423096 45943839456 48509350983 51686819388 53760730206 57492564128 63455288112 64679134644 68915759184 71680973608 80641095309 86238846192 97018701966 103373638776 107521460412 109595200369 126910576224 129358269288 137831518368 143361947216 161282190618 172477692384 194037403932 206747277552 215042920824 219190400738 241923285927 258716538576 286723894432 322564381236 328785601107 388074807864 411431162041 413494555104 430085841648 438380801476 483846571854 517433077152 645128762472 657571202214 776149615728 822862324082 860171683296 876761602952 967693143708 986356803321 1234293486123 1290257524944 1315142404428 1552299231456 1645724648164 1753523205904 1935386287416 1972713606642 2468586972246 2580515049888 2630284808856 2959070409963 3291449296328 3507046411808 3702880458369 3870772574832 3945427213284 4937173944492 5260569617712 5918140819926 6582898592656 7405760916738 7741545149664 7890854426568 9874347888984 10521139235424 11108641375107 11836281639852 13165797185312 14811521833476 15781708853136 19748695777968 22217282750214 23672563279704 25097300884501 29623043666952 31563417706272 39497391555936 44434565500428 47345126559408 50194601769002 59246087333904 75291902653503 88869131000856 94690253118816 100389203538004 118492174667808 150583805307006 177738262001712 200778407076008 225875707960509 301167610614012 355476524003424 401556814152016 451751415921018 602335221228024 677627123881527 803113628304032 903502831842036 1204670442456048 1355254247763054 1807005663684072 2409340884912096 2710508495526108 3614011327368144 5421016991052216 7228022654736288 10842033982104432 21684067964208864
• Sum of all divisors σ(n): 64586996544687120
• Sum of proper divisors (its aliquot sum) s(n): 42902928580478256
• 21684067964208864 is an abundant number, because the sum of its proper divisors (42902928580478256) is greater than itself. Its abundance is 21218860616269392

Bases of 21684067964208864

• Binary: 1001101000010011000101110000000010010101100011011100000₂
• Hexadecimal: 0x4D098B804AC6E0
• Base-36: 5XICZAVUGO0

Squares and roots of 21684067964208864

• 21684067964208864 squared (21684067964208864²) is 470198803476429147638509416170496
• 21684067964208864 cubed (21684067964208864³) is 10195822811272576712313329181387365506289178476544
• The square root of 21684067964208864 is 147255111.8440676205
• The cube root of 21684067964208864 is 278856.1668501579

Scales and comparisons

• 21,684,067,964,208,864 seconds is equal to 689,486,288 years, 1 week, 6 days, 14 minutes, 24 seconds.
• To count from 1 to 21,684,067,964,208,864 would take you about two billion, sixty-eight million, four hundred fifty-eight thousand, eight hundred sixty-four 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 21684067964208864 cubic inches would be around 23238 feet tall.

Recreational maths with 21684067964208864

• 21684067964208864 backwards is 46880246976048612
• The number of decimal digits it has is: 17
• The sum of 21684067964208864's digits is 81
• More coming soon!