21844638729064000

Names of 21844638729064000

• Cardinal: 21844638729064000 can be written as Twenty-one quadrillion, eight hundred forty-four trillion, six hundred thirty-eight billion, seven hundred twenty-nine million, sixty-four thousand.

Scientific notation

• Scientific notation: 2.1844638729064 × 10¹⁶

Factors of 21844638729064000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 121

Divisors of 21844638729064000

• Number of divisors d(n): 392
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 53 61 64 80 100 106 122 125 160 200 212 244 250 265 305 320 400 424 488 500 530 610 800 848 976 1000 1060 1220 1325 1525 1600 1696 1952 2000 2120 2440 2650 3050 3233 3392 3721 3904 4000 4240 4880 5300 6100 6466 6625 7442 7625 8000 8480 9760 10600 12200 12932 13250 14884 15250 16165 16960 18605 19520 21200 24400 25864 26500 29768 30500 32330 37210 42400 48800 51728 53000 59536 61000 64660 74420 80825 84800 93025 97600 103456 106000 119072 122000 129320 148840 161650 186050 197213 206912 212000 226981 238144 244000 258640 297680 323300 372100 394426 404125 424000 453962 465125 488000 517280 595360 646600 744200 788852 808250 907924 930250 986065 1034560 1134905 1190720 1293200 1488400 1577704 1616500 1815848 1860500 1972130 2269810 2586400 2976800 3155408 3233000 3631696 3721000 3944260 4539620 4930325 5172800 5674525 5953600 6310816 6466000 7263392 7442000 7888520 9079240 9860650 11349050 12029993 12621632 12932000 13845841 14526784 14884000 15777040 18158480 19721300 22698100 24059986 24651625 25864000 27691682 28372625 29768000 31554080 36316960 39442600 45396200 48119972 49303250 55383364 56745250 60149965 63108160 69229205 72633920 78885200 90792400 96239944 98606500 110766728 113490500 120299930 138458410 157770400 181584800 192479888 197213000 221533456 226981000 240599860 276916820 300749825 315540800 346146025 363169600 384959776 394426000 443066912 453962000 481199720 553833640 601499650 692292050 733829573 769919552 788852000 844596301 886133824 907924000 962399440 1107667280 1202999300 1384584100 1467659146 1503749125 1577704000 1689192602 1730730125 1815848000 1924798880 2215334560 2405998600 2769168200 2935318292 3007498250 3378385204 3461460250 3669147865 3849597760 4222981505 4430669120 4811997200 5538336400 5870636584 6014996500 6756770408 6922920500 7338295730 8445963010 9623994400 11076672800 11741273168 12029993000 13513540816 13845841000 14676591460 16891926020 18345739325 19247988800 21114907525 22153345600 23482546336 24059986000 27027081632 27691682000 29353182920 33783852040 36691478650 42229815050 44763603953 46965092672 48119972000 51520374361 54054163264 55383364000 58706365840 67567704080 73382957300 84459630100 89527207906 91728696625 96239944000 103040748722 105574537625 110766728000 117412731680 135135408160 146765914600 168919260200 179054415812 183457393250 206081497444 211149075250 223818019765 234825463360 257601871805 270270816320 293531829200 337838520400 358108831624 366914786500 412162994888 422298150500 447636039530 515203743610 587063658400 675677040800 716217663248 733829573000 824325989776 844596301000 895272079060 1030407487220 1119090098825 1174127316800 1288009359025 1351354081600 1432435326496 1467659146000 1648651979552 1689192602000 1790544158120 2060814974440 2238180197650 2576018718050 2730579841133 2864870652992 2935318292000 3297303959104 3378385204000 3581088316240 4121629948880 4476360395300 5152037436100 5461159682266 5595450494125 5870636584000 6440046795125 6756770408000 7162176632480 8243259897760 8952720790600 10304074872200 10922319364532 11190900988250 12880093590250 13652899205665 14324353264960 16486519795520 17905441581200 20608149744400 21844638729064 22381801976500 25760187180500 27305798411330 35810883162400 41216299488800 43689277458128 44763603953000 51520374361000 54611596822660 68264496028325 71621766324800 82432598977600 87378554916256 89527207906000 103040748722000 109223193645320 136528992056650 174757109832512 179054415812000 206081497444000 218446387290640 273057984113300 341322480141625 358108831624000 412162994888000 436892774581280 546115968226600 682644960283250 873785549162560 1092231936453200 1365289920566500 2184463872906400 2730579841133000 4368927745812800 5461159682266000 10922319364532000 21844638729064000
• Sum of all divisors σ(n): 56037618960505416
• Sum of proper divisors (its aliquot sum) s(n): 34192980231441416
• 21844638729064000 is an abundant number, because the sum of its proper divisors (34192980231441416) is greater than itself. Its abundance is 12348341502377416

Bases of 21844638729064000

• Binary: 1001101100110111001010101001011101100010100111001000000₂
• Hexadecimal: 0x4D9B954BB14E40
• Base-36: 5Z3A0HRFCXS

Squares and roots of 21844638729064000

• 21844638729064000 squared (21844638729064000²) is 477188241203322849198316096000000
• 21844638729064000 cubed (21844638729064000³) is 10424004734844039922525175054614374214144000000000
• The square root of 21844638729064000 is 147799319.1089322983
• The cube root of 21844638729064000 is 279542.7858291321
• Being both a perfect square and a perfect cube, 21844638729064000 is also a perfect sixth number.

Scales and comparisons

• 21,844,638,729,064,000 seconds is equal to 694,591,941 years, 35 weeks, 2 days, 13 hours, 46 minutes, 40 seconds.
• To count from 1 to 21,844,638,729,064,000 would take you about two billion, eighty-three million, seven hundred seventy-five thousand, eight hundred twenty-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 21844638729064000 cubic inches would be around 23295.2 feet tall.

Recreational maths with 21844638729064000

• 21844638729064000 backwards is 00046092783644812
• 21844638729064000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21844638729064000's digits is 64
• More coming soon!