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14314116 = 22337103313
BaseRepresentation
bin110110100110…
…101010000100
3222221020021110
4312212222010
512131022431
61230445020
7232445055
oct66465204
928836243
1014314116
118097453
124963770
132c723bb
141c8872c
1513cb346
hexda6a84

14314116 has 48 divisors (see below), whose sum is σ = 34745984. Its totient is φ = 4582656.

The previous prime is 14314099. The next prime is 14314117. The reversal of 14314116 is 61141341.

It is a super-2 number, since 2×143141162 = 409787833722912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14314092 and 14314101.

It is not an unprimeable number, because it can be changed into a prime (14314117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45576 + ... + 45888.

Almost surely, 214314116 is an apocalyptic number.

It is an amenable number.

14314116 is an abundant number, since it is smaller than the sum of its proper divisors (20431868).

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

14314116 is a wasteful number, since it uses less digits than its factorization.

14314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 14314116 is about 3783.4000581488. The cubic root of 14314116 is about 242.8034448422.

Adding to 14314116 its reverse (61141341), we get a palindrome (75455457).

The spelling of 14314116 in words is "fourteen million, three hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 37 74 103 111 148 206 222 309 313 412 444 618 626 939 1236 1252 1878 3756 3811 7622 11433 11581 15244 22866 23162 32239 34743 45732 46324 64478 69486 96717 128956 138972 193434 386868 1192843 2385686 3578529 4771372 7157058 14314116