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144585396 = 22324016261
BaseRepresentation
bin10001001111000…
…11001010110100
3101002001200212200
420213203022310
5244003213041
622202544500
73403645524
oct1047431264
9332050780
10144585396
117468416a
1240508130
1323c544b7
14152b9684
15ca601b6
hex89e32b4

144585396 has 18 divisors (see below), whose sum is σ = 365479842. Its totient is φ = 48195120.

The previous prime is 144585379. The next prime is 144585403. The reversal of 144585396 is 693585441.

It can be written as a sum of positive squares in only one way, i.e., 129140496 + 15444900 = 11364^2 + 3930^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2008095 + ... + 2008166.

Almost surely, 2144585396 is an apocalyptic number.

It is an amenable number.

144585396 is an abundant number, since it is smaller than the sum of its proper divisors (220894446).

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

144585396 is a wasteful number, since it uses less digits than its factorization.

144585396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016271 (or 4016266 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 144585396 is about 12024.3667608735. The cubic root of 144585396 is about 524.8575831387.

Adding to 144585396 its sum of digits (45), we get a palindrome (144585441).

The spelling of 144585396 in words is "one hundred forty-four million, five hundred eighty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 4016261 8032522 12048783 16065044 24097566 36146349 48195132 72292698 144585396