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14342144 = 21147149
BaseRepresentation
bin110110101101…
…100000000000
3222222122201112
4312231200000
512132422034
61231222452
7232622555
oct66554000
928878645
1014342144
118106513
124977a28
132c8209b
141c94a2c
1513d47ce
hexdad800

14342144 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 6971392.

The previous prime is 14342143. The next prime is 14342147. The reversal of 14342144 is 44124341.

It is a happy number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96182 + ... + 96330.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 214342144 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 14342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

14342144 is an abundant number, since it is smaller than the sum of its proper divisors (15141856).

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

14342144 is an equidigital number, since it uses as much as digits as its factorization.

14342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 14342144 is about 3787.1023223568. The cubic root of 14342144 is about 242.9618166675.

Adding to 14342144 its reverse (44124341), we get a palindrome (58466485).

The spelling of 14342144 in words is "fourteen million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 149 188 256 298 376 512 596 752 1024 1192 1504 2048 2384 3008 4768 6016 7003 9536 12032 14006 19072 24064 28012 38144 48128 56024 76288 96256 112048 152576 224096 305152 448192 896384 1792768 3585536 7171072 14342144