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14355144 = 233422153
BaseRepresentation
bin110110110000…
…101011001000
31000000022120000
4312300223020
512133331034
61231403000
7233005506
oct66605310
930008500
1014355144
118115261
124983460
132c87c8b
141c99676
1513d8599
hexdb0ac8

14355144 has 40 divisors (see below), whose sum is σ = 40209510. Its totient is φ = 4784832.

The previous prime is 14355109. The next prime is 14355161. The reversal of 14355144 is 44155341.

It is a happy number.

14355144 is a `hidden beast` number, since 143 + 5 + 514 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14152644 + 202500 = 3762^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 10429 + ... + 11724.

Almost surely, 214355144 is an apocalyptic number.

It is an amenable number.

14355144 is an abundant number, since it is smaller than the sum of its proper divisors (25854366).

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

14355144 is a wasteful number, since it uses less digits than its factorization.

14355144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22171 (or 22158 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 14355144 is about 3788.8182854288. The cubic root of 14355144 is about 243.0352029475.

The spelling of 14355144 in words is "fourteen million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 22153 44306 66459 88612 132918 177224 199377 265836 398754 531672 598131 797508 1196262 1595016 1794393 2392524 3588786 4785048 7177572 14355144