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144205664 = 254506427
BaseRepresentation
bin10001001100001…
…10011101100000
3101001100101222112
420212012131200
5243404040124
622150454452
73400504451
oct1046063540
9331311875
10144205664
1174444939
1240364428
1323b506c5
141521b128
15c9d790e
hex8986760

144205664 has 12 divisors (see below), whose sum is σ = 283904964. Its totient is φ = 72102816.

The previous prime is 144205657. The next prime is 144205667. The reversal of 144205664 is 466502441.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 4506427 = 144205664 / (1 + 4 + 4 + 2 + 0 + 5 + 6 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 144205664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144205667) 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 as a sum of consecutive naturals, namely, 2253182 + ... + 2253245.

It is an arithmetic number, because the mean of its divisors is an integer number (23658747).

Almost surely, 2144205664 is an apocalyptic number.

It is an amenable number.

144205664 is a deficient number, since it is larger than the sum of its proper divisors (139699300).

144205664 is an equidigital number, since it uses as much as digits as its factorization.

144205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506437 (or 4506429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 144205664 is about 12008.5662757883. The cubic root of 144205664 is about 524.3976935461.

The spelling of 144205664 in words is "one hundred forty-four million, two hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 4506427 9012854 18025708 36051416 72102832 144205664