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144864036 = 22324024001
BaseRepresentation
bin10001010001001…
…11001100100100
3101002120212002200
420220213030210
5244041122121
622212534500
73406216062
oct1050471444
9332525080
10144864036
1174854549
1240621430
1324021285
141534d032
15cab7a26
hex8a27324

144864036 has 18 divisors (see below), whose sum is σ = 366184182. Its totient is φ = 48288000.

The previous prime is 144864017. The next prime is 144864059. The reversal of 144864036 is 630468441.

144864036 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 640 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 22982436 = 11040^2 + 4794^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4024001 = 144864036 / (1 + 4 + 4 + 8 + 6 + 4 + 0 + 3 + 6).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2011965 + ... + 2012036.

Almost surely, 2144864036 is an apocalyptic number.

It is an amenable number.

144864036 is an abundant number, since it is smaller than the sum of its proper divisors (221320146).

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

144864036 is a wasteful number, since it uses less digits than its factorization.

144864036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024011 (or 4024006 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144864036 is about 12035.9476569151. The cubic root of 144864036 is about 525.1945292723.

The spelling of 144864036 in words is "one hundred forty-four million, eight hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4024001 8048002 12072003 16096004 24144006 36216009 48288012 72432018 144864036