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144318048 = 2537214759
BaseRepresentation
bin10001001101000…
…01111001100000
3101001120010010220
420212201321200
5243421134143
622153123040
73401453220
oct1046417140
9331503126
10144318048
1174511316
12403b9480
1323b8c8c4
141524a080
15ca0ad83
hex89a1e60

144318048 has 48 divisors (see below), whose sum is σ = 432956160. Its totient is φ = 41233536.

The previous prime is 144318047. The next prime is 144318089. The reversal of 144318048 is 840813441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144318047) 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, 106708 + ... + 108051.

It is an arithmetic number, because the mean of its divisors is an integer number (9019920).

Almost surely, 2144318048 is an apocalyptic number.

It is an amenable number.

144318048 is an abundant number, since it is smaller than the sum of its proper divisors (288638112).

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

144318048 is a wasteful number, since it uses less digits than its factorization.

144318048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214779 (or 214771 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 144318048 is about 12013.2446907569. The cubic root of 144318048 is about 524.5338847000.

It can be divided in two parts, 1443 and 18048, that added together give a palindrome (19491).

The spelling of 144318048 in words is "one hundred forty-four million, three hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 214759 429518 644277 859036 1288554 1503313 1718072 2577108 3006626 3436144 4509939 5154216 6013252 6872288 9019878 10308432 12026504 18039756 20616864 24053008 36079512 48106016 72159024 144318048