966917843190917116

Names of 966917843190917116

• Cardinal: 966917843190917116 can be written as Nine hundred sixty-six quadrillion, nine hundred seventeen trillion, eight hundred forty-three billion, one hundred ninety million, nine hundred seventeen thousand, one hundred sixteen.

Scientific notation

• Scientific notation: 9.66917843190917116 × 10¹⁷

Factors of 966917843190917116

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1885

Divisors of 966917843190917116

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 43 73 86 97 103 146 172 194 206 292 388 412 1567 1849 3134 3139 3698 4171 4429 5329 6268 6278 7081 7396 7519 8342 8858 9991 10658 12556 14162 15038 16684 17716 19982 21316 28324 30076 39964 67381 114391 134762 134977 151999 161401 179353 190447 228782 229147 269524 269954 303998 304483 322802 323317 358706 380894 429613 457564 458294 516913 539908 548887 607996 608966 645604 646634 717412 729343 761788 859226 916588 1033826 1097774 1217932 1293268 1458686 1718452 2067652 2195548 2455489 2897383 2917372 4910978 4918813 5794766 6535957 6940243 8350543 9821956 9837626 9853321 11095927 11589532 11782273 13071914 13092769 13880486 13902631 15655897 16701086 18473359 19675252 19706642 22191854 22227259 23564546 23602141 26143828 26185538 27760972 27805262 31311794 31361749 33402172 36946718 39413284 44383708 44454518 47129092 47204282 52371076 53242039 55610524 62623588 62723498 73893436 88909036 94408564 105586027 106484078 125446996 179250697 211172054 211508959 212968156 238182433 252915367 281046151 298430449 358501394 359073349 422344108 423017918 476364866 477124861 505830734 506637739 562092302 596860898 673203571 717002788 718146698 810002671 846035836 860105929 952729732 954249722 955772137 1011661468 1013275478 1014892063 1124184604 1142880481 1193721796 1346407142 1348555207 1436293396 1620005342 1720211858 1908499444 1911544274 2026550956 2029784126 2285760962 2289407677 2692814284 2697110414 3240010684 3440423716 3823088548 4059568252 4540199161 4571521924 4578815354 5394220828 7707779971 9080398322 9157630708 10241844619 10875360781 13085300881 15415559942 15440154007 17387317609 18160796644 18462821791 20483689238 20516369023 21750721562 21785422777 24532790599 26170601762 28947753553 30831119884 30880308014 34774635218 34830114853 36925643582 36984554947 40967378476 41032738046 43501443124 43570845554 49065581198 49143860683 52341203524 57895507106 61760616028 69549270436 69660229706 73851287164 73969109894 82065476092 83430275113 87141691108 98131162396 98287721366 98444530111 115791014212 139320459412 147938219788 166860550226 196575442732 196889060222 331434538753 333721100452 393778120444 440399318617 467640513583 562667937883 662869077506 747654657187 793901337013 880798637234 935281027166 1054909995757 1125335875766 1269274185457 1325738155012 1347785990743 1495309314374 1497694938679 1587802674026 1590335862721 1761597274468 1790893713727 1870562054332 2109819991514 2113186009369 2250671751532 2538548370914 2695571981486 2990618628748 2995389877358 3175605348052 3180671725442 3581787427454 3587501829859 4219639983028 4226372018738 5077096741828 5391143962972 5990779754716 6361343450884 7163574854908 7175003659718 8452744037476 14350007319436 24194721328969 32149150259041 34137757491559 45361129817551 48389442657938 54578789974651 57954797601949 64298300518082 68275514983118 77008429690261 90722259635102 96778885315876 109157579949302 115909595203898 128596601036164 130735241102071 136551029966236 154016859380522 154262578683937 181444519270204 218315159898604 231819190407796 261470482204142 308033718761044 308525157367874 522940964408284 617050314735748 2346887968909993 2492056296883807 3311362476681223 4693775937819986 4984112593767614 5621615367389053 6622724953362446 9387551875639972 9968225187535228 11243230734778106 13245449906724892 22486461469556212 241729460797729279 483458921595458558 966917843190917116
• Sum of all divisors σ(n): 1792909085841396432
• Sum of proper divisors (its aliquot sum) s(n): 825991242650479316
• 966917843190917116 is a deficient number, because the sum of its proper divisors (825991242650479316) is less than itself. Its deficiency is 140926600540437800

Bases of 966917843190917116

• Binary: 110101101011001011101010011111001010011000011010011111111100₂
• Hexadecimal: 0xD6B2EA7CA61A7FC
• Base-36: 7CGNROYSZ4ZG

Squares and roots of 966917843190917116

• 966917843190917116 squared (966917843190917116²) is 934930115480974981025450921181757456
• 966917843190917116 cubed (966917843190917116³) is 904000610795099397499269629056961742776251853311016896
• The square root of 966917843190917116 is 983319807.1791888377
• The cube root of 966917843190917116 is 988848.7257022421

Scales and comparisons

• 966,917,843,190,917,116 seconds is equal to 30,744,996,540 years, 10 weeks, 5 days, 14 hours, 45 minutes, 16 seconds.
• To count from 1 to 966,917,843,190,917,116 would take you about ninety-two billion, two hundred thirty-four million, nine hundred eighty-nine thousand, six hundred twenty 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 966917843190917116 cubic inches would be around 82404.1 feet tall.

Recreational maths with 966917843190917116

• 966917843190917116 backwards is 611719091348719669
• The number of decimal digits it has is: 18
• The sum of 966917843190917116's digits is 88
• More coming soon!