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14200144 = 247196673
BaseRepresentation
bin110110001010…
…110101010000
3222201102221021
4312022311100
512113401034
61224205224
7231461560
oct66126520
928642837
1014200144
118019862
124909814
132c3256a
141c58da0
1513a76b4
hexd8ad50

14200144 has 40 divisors (see below), whose sum is σ = 33103040. Its totient is φ = 5764608.

The previous prime is 14200141. The next prime is 14200243. The reversal of 14200144 is 44100241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200141) 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 7 ways as a sum of consecutive naturals, for example, 1209 + ... + 5464.

It is an arithmetic number, because the mean of its divisors is an integer number (827576).

Almost surely, 214200144 is an apocalyptic number.

14200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14200144 is an abundant number, since it is smaller than the sum of its proper divisors (18902896).

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

14200144 is a wasteful number, since it uses less digits than its factorization.

14200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14200144 is about 3768.3078430510. The cubic root of 14200144 is about 242.1573095548.

Adding to 14200144 its reverse (44100241), we get a palindrome (58300385).

The spelling of 14200144 in words is "fourteen million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 6673 13346 26692 46711 53384 93422 106768 126787 186844 253574 373688 507148 747376 887509 1014296 1775018 2028592 3550036 7100072 14200144