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14012233031313 = 3211597537318289
BaseRepresentation
bin1100101111100111101000…
…1011000001111010010001
31211121120000121112022222100
43023321322023001322101
53314034023124000223
645445044143231013
72644231124403636
oct313717213017221
954546017468870
1014012233031313
114512611280120
1216a37b85a8469
137a846a46970a
143662a4dca18d
15194754d50043
hexcbe7a2c1e91

14012233031313 has 48 divisors (see below), whose sum is σ = 22457167387200. Its totient is φ = 8347191920640.

The previous prime is 14012233031299. The next prime is 14012233031347. The reversal of 14012233031313 is 31313033221041.

14012233031313 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 2 + 330 + 313 + 13 = 666.

It is not a de Polignac number, because 14012233031313 - 25 = 14012233031281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14012233081313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43864473 + ... + 44182761.

It is an arithmetic number, because the mean of its divisors is an integer number (467857653900).

Almost surely, 214012233031313 is an apocalyptic number.

It is an amenable number.

14012233031313 is a deficient number, since it is larger than the sum of its proper divisors (8444934355887).

14012233031313 is a wasteful number, since it uses less digits than its factorization.

14012233031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325902 (or 325899 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 14012233031313 its reverse (31313033221041), we get a palindrome (45325266252354).

The spelling of 14012233031313 in words is "fourteen trillion, twelve billion, two hundred thirty-three million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 7537 22611 67833 82907 248721 318289 444683 746163 954867 1334049 2864601 3501179 4002147 4891513 10503537 14674539 18779051 31510611 44023617 56337153 169011459 206569561 619708683 1859126049 2398944193 7196832579 21590497737 26388386123 79165158369 141537707387 237495475107 424613122161 1273839366483 1556914781257 4670744343771 14012233031313