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14105446146 = 23211514713841
BaseRepresentation
bin11010010001100000…
…00000011100000010
31100102000212220111100
431020300000130002
5212341443234041
610251400355230
71006355212461
oct151060003402
940360786440
1014105446146
115a8917a510
122897a75b16
13143a40b54c
1497b4c49d8
155785116b6
hex348c00702

14105446146 has 48 divisors (see below), whose sum is σ = 33349032288. Its totient is φ = 4273238400.

The previous prime is 14105446067. The next prime is 14105446177. The reversal of 14105446146 is 64164450141.

14105446146 is a `hidden beast` number, since 1 + 4 + 10 + 544 + 61 + 46 = 666.

It is a super-2 number, since 2×141054461462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14105446146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012186 + ... + 1026026.

It is an arithmetic number, because the mean of its divisors is an integer number (694771506).

Almost surely, 214105446146 is an apocalyptic number.

14105446146 is an abundant number, since it is smaller than the sum of its proper divisors (19243586142).

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

14105446146 is a wasteful number, since it uses less digits than its factorization.

14105446146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007 (or 19004 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 14105446146 its reverse (64164450141), we get a palindrome (78269896287).

It can be divided in two parts, 1410 and 5446146, that added together give a square (5447556 = 23342).

The spelling of 14105446146 in words is "fourteen billion, one hundred five million, four hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5147 10294 13841 15441 27682 30882 41523 46323 56617 83046 92646 113234 124569 152251 169851 249138 304502 339702 456753 509553 913506 1019106 1370259 2740518 71239627 142479254 213718881 427437762 641156643 783635897 1282313286 1567271794 2350907691 4701815382 7052723073 14105446146