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14318144 = 262371137
BaseRepresentation
bin110110100111…
…101001000000
3222221102210122
4312213221000
512131140034
61230515412
7232462601
oct66475100
928842718
1014318144
11809a485
124965b68
132c74199
141c89da8
1513cc62e
hexda7a40

14318144 has 56 divisors (see below), whose sum is σ = 30284928. Its totient is φ = 6702080.

The previous prime is 14318123. The next prime is 14318159. The reversal of 14318144 is 44181341.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104444 + ... + 104580.

Almost surely, 214318144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142464).

14318144 is an abundant number, since it is smaller than the sum of its proper divisors (15966784).

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

14318144 is a wasteful number, since it uses less digits than its factorization.

14318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 14318144 is about 3783.9323461183. The cubic root of 14318144 is about 242.8262177132.

Adding to 14318144 its reverse (44181341), we get a palindrome (58499485).

The spelling of 14318144 in words is "fourteen million, three hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 137 142 184 274 284 368 548 568 736 1096 1136 1472 1633 2192 2272 3151 3266 4384 4544 6302 6532 8768 9727 12604 13064 19454 25208 26128 38908 50416 52256 77816 100832 104512 155632 201664 223721 311264 447442 622528 894884 1789768 3579536 7159072 14318144