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14005113066 = 23272198310069
BaseRepresentation
bin11010000101100010…
…10001000011101010
31100011001002110101100
431002301101003222
5212140302104231
610233414102230
71004026332300
oct150261210352
940131073340
1014005113066
115a3758080a
12286a34a976
1314226ac269
1496c048270
1556e7e31e6
hex342c510ea

14005113066 has 144 divisors (see below), whose sum is σ = 37607824800. Its totient is φ = 3744812736.

The previous prime is 14005113041. The next prime is 14005113079. The reversal of 14005113066 is 66031150041.

14005113066 is a `hidden beast` number, since 140 + 0 + 511 + 3 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×140051130662 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1385880 + ... + 1395948.

It is an arithmetic number, because the mean of its divisors is an integer number (261165450).

Almost surely, 214005113066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005113066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803912400).

14005113066 is an abundant number, since it is smaller than the sum of its proper divisors (23602711734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14005113066 is a wasteful number, since it uses less digits than its factorization.

14005113066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 14005113066 in words is "fourteen billion, five million, one hundred thirteen thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 83 98 114 126 133 147 166 171 249 266 294 342 399 441 498 581 747 798 882 931 1162 1197 1494 1577 1743 1862 2394 2793 3154 3486 4067 4731 5229 5586 8134 8379 9462 10069 10458 11039 12201 14193 16758 20138 22078 24402 28386 30207 33117 36603 60414 66234 70483 73206 77273 90621 99351 140966 154546 181242 191311 198702 211449 231819 382622 422898 463638 493381 573933 634347 695457 835727 986762 1147866 1268694 1339177 1390914 1480143 1671454 1721799 2507181 2678354 2960286 3443598 4017531 4440429 5014362 5850089 7521543 8035062 8880858 9374239 11700178 12052593 15043086 15878813 17550267 18748478 24105186 28122717 31757626 35100534 40950623 47636439 52650801 56245434 81901246 84368151 95272878 105301602 111151691 122851869 142909317 168736302 222303382 245703738 285818634 333455073 368555607 666910146 737111214 778061837 1000365219 1556123674 2000730438 2334185511 4668371022 7002556533 14005113066