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14316144 = 2431012953
BaseRepresentation
bin110110100111…
…001001110000
3222221100001120
4312213021300
512131104034
61230502240
7232454013
oct66471160
928840046
1014316144
118098a27
124964980
132c732bb
141c8937a
1513cbc49
hexda7270

14316144 has 40 divisors (see below), whose sum is σ = 37362192. Its totient is φ = 4723200.

The previous prime is 14316131. The next prime is 14316163. The reversal of 14316144 is 44161341.

14316144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372 + ... + 6324.

Almost surely, 214316144 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 14316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681096).

14316144 is an abundant number, since it is smaller than the sum of its proper divisors (23046048).

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

14316144 is a wasteful number, since it uses less digits than its factorization.

14316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 14316144 is about 3783.6680615509. The cubic root of 14316144 is about 242.8149109626.

Adding to 14316144 its reverse (44161341), we get a palindrome (58477485).

The spelling of 14316144 in words is "fourteen million, three hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 2953 4848 5906 8859 11812 17718 23624 35436 47248 70872 141744 298253 596506 894759 1193012 1789518 2386024 3579036 4772048 7158072 14316144