13964106135728

Names of 13964106135728

• Cardinal: 13964106135728 can be written as Thirteen trillion, nine hundred sixty-four billion, one hundred six million, one hundred thirty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3964106135728 × 10¹³

Factors of 13964106135728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 74

Divisors of 13964106135728

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 14 16 17 19 28 29 34 38 49 56 58 68 76 98 112 116 119 133 136 152 196 203 232 238 266 272 289 304 323 343 361 392 406 464 476 493 532 551 578 646 686 722 784 812 833 841 931 952 986 1064 1102 1156 1292 1372 1421 1444 1624 1666 1682 1862 1904 1972 2023 2128 2204 2261 2312 2527 2584 2744 2842 2888 3248 3332 3364 3451 3724 3857 3944 4046 4408 4522 4624 5054 5168 5488 5491 5684 5776 5831 5887 6137 6517 6664 6728 6902 7448 7714 7888 8092 8381 8816 9044 9367 9947 10108 10469 10982 11368 11662 11774 12274 13034 13328 13456 13804 14161 14297 14896 15428 15827 15979 16184 16762 17689 18088 18734 19894 20216 20938 21964 22736 23324 23548 24157 24389 24548 26068 26999 27608 28322 28594 30856 31654 31958 32368 33524 35378 36176 37468 38437 39788 40432 41209 41876 42959 43928 46648 47096 48314 48778 49096 52136 53998 55216 56644 57188 58667 61712 63308 63916 65569 67048 70756 73283 74936 76874 79576 82418 83752 85918 87856 93296 94192 96628 97556 98192 99127 100079 104272 104329 107996 110789 111853 113288 114376 117334 123823 126616 127832 131138 134096 141512 146566 149872 153748 159152 159239 164836 167504 169099 170723 171836 177973 188993 193256 195112 198254 200158 208658 215992 221578 223706 226576 228752 234668 243049 247646 253232 255664 262276 269059 271643 283024 288463 293132 300713 303601 307496 318478 329672 338198 341446 343672 355946 377986 386512 390224 396508 400316 410669 414613 417316 431984 443156 447412 458983 463391 469336 486098 495292 512981 524552 538118 543286 576926 586264 601426 607202 614992 636956 659344 676396 682892 687344 700553 711892 730303 755972 782971 793016 800632 821338 829226 834632 886312 894824 917966 926782 938672 972196 990584 1025962 1049104 1076236 1086572 1114673 1153852 1172528 1195061 1202852 1214404 1245811 1273912 1352792 1365784 1401106 1423784 1460606 1511944 1565942 1586032 1601264 1642676 1658452 1669264 1701343 1772624 1789648 1835932 1853564 1883413 1901501 1944392 1981168 2051924 2104991 2125207 2152472 2173144 2229346 2307704 2390122 2405704 2428808 2491622 2547824 2705584 2731568 2802212 2847568 2874683 2902291 2921212 3023888 3025541 3131884 3212881 3243737 3285352 3316904 3402686 3590867 3671864 3707128 3766826 3803002 3888784 4103848 4209982 4250414 4304944 4346288 4458692 4615408 4617931 4780244 4811408 4857616 4903871 4983244 5112121 5161217 5480797 5604424 5749366 5804582 5842424 6051082 6263768 6425762 6487474 6570704 6633808 6805372 7048421 7181734 7343728 7414256 7533652 7606004 7802711 7877647 8207696 8365427 8419964 8500828 8720677 8804429 8917384 9235862 9560488 9807742 9966488 10224242 10322434 10961594 11208848 11498732 11609164 11684848 11909401 12102164 12527536 12851524 12974948 13310507 13610744 14096842 14363468 14876449 15067304 15212008 15605422 15755294 16730854 16839928 17001656 17441354 17608858 17834768 18471724 19120976 19615484 19932976 20316037 20448484 20644868 21178787 21923188 22706159 22997464 23218328 23818802 24204328 25703048 25949896 26621014 27221488 28193684 28726936 29752898 30134608 30424016 31210844 31510588 32325517 33461708 33679856 34003312 34882708 35217716 35784847 36128519 36943448 39230968 40632074 40896968 41289736 42357574 43846376 45412318 45994928 46436656 47637604 48408656 49338947 51406096 51899792 53242028 54618977 55143529 56387368 57453872 59505796 61044739 61631003 62421688 63021176 64651034 66923416 69765416 70435432 71569694 72257038 73886896 78461936 81264148 81793936 82579472 83365807 84715148 87692752 87740689 90824636 93173549 95275208 98677894 104135143 106484056 109237954 110287058 112774736 119011592 122089478 123262006 124843376 126042352 129302068 133846832 133919999 139530832 140870864 142212259 143139388 144514076 148251509 149675293 158943113 162528296 166731614 169430296 175481378 181649272 186347098 190550416 197355788 208270286 212968112 218475908 220574116 226278619 238023184 244178956 246524012 252899633 258604136 267839998 284424518 286278776 289028152 296503018 299350586 317886226 325056592 333463228 338860592 345372629 350962756 363298544 372694196 386004703 394711576 416540572 431417021 436951816 441148232 452557238 488357912 493048024 505799266 517208272 535679996 568849036 572557552 578056304 593006036 598701172 614184823 635772452 666926456 690745258 701925512 745388392 772009406 789423152 833081144 862834042 873903632 882296464 905114476 937439993 976715824 986096048 1011598532 1037760563 1047727051 1071359992 1137698072 1186012072 1197402344 1228369646 1271544904 1333852912 1381490516 1403851024 1490776784 1544018812 1583950333 1666162288 1725668084 1770297431 1810228952 1874879986 2023197064 2075521126 2095454102 2142719984 2275396144 2372024144 2394804688 2417608403 2456739292 2543089808 2544479981 2702032921 2762981032 3019919147 3088037624 3167900666 3451336168 3540594862 3620457904 3749759972 4046394128 4151042252 4190908204 4299293761 4835216806 4913478584 5088959962 5404065842 5525962064 6039838294 6176075248 6335801332 6562079951 6902672336 7081189724 7334089357 7499519944 8302084504 8381816408 8598587522 9670433612 9826957168 10177919924 10808131684 12079676588 12671602664 13124159902 14162379448 14668178714 14999039888 16604169008 16763632816 17197175044 17811359867 19340867224 20355839848 21616263368 24159353176 25343205328 26248319804 28324758896 29336357428 30095056327 34394350088 35622719734 38681734448 40711679696 43232526736 45934559657 48318706352 51338625499 52496639608 58672714856 60190112654 68788700176 71245439468 91869119314 102677250998 104993279216 117345429712 120380225308 124679519069 142490878936 183738238628 205354501996 240760450616 249359038138 284981757872 367476477256 410709003992 481520901232 498718076276 734952954512 821418007984 872756633483 997436152552 1745513266966 1994872305104 3491026533932 6982053067864 13964106135728
• Sum of all divisors σ(n): 36636871608000
• Sum of proper divisors (its aliquot sum) s(n): 22672765472272
• 13964106135728 is an abundant number, because the sum of its proper divisors (22672765472272) is greater than itself. Its abundance is 8708659336544

Bases of 13964106135728

• Binary: 11001011001101000101100101011111100010110000₂
• Hexadecimal: 0xCB34595F8B0
• Base-36: 4Y70S90VK

Squares and roots of 13964106135728

• 13964106135728 squared (13964106135728²) is 194996260169876376758089984
• 13964106135728 cubed (13964106135728³) is 2722948473082184132282885758736341348352
• The square root of 13964106135728 is 3736857.7890693137
• The cube root of 13964106135728 is 24080.8075567463

Scales and comparisons

• 13,964,106,135,728 seconds is equal to 444,015 years, 19 weeks, 5 days, 19 hours, 2 minutes, 8 seconds.
• To count from 1 to 13,964,106,135,728 would take you about one million, one hundred ten thousand and 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 13964106135728 cubic inches would be around 2006.7 feet tall.

Recreational maths with 13964106135728

• 13964106135728 backwards is 82753160146931
• 13964106135728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13964106135728's digits is 56
• More coming soon!