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144006504 = 2336000271
BaseRepresentation
bin10001001010101…
…01110101101000
3101000222021210020
420211111311220
5243331202004
622142320440
73366015015
oct1045256550
9330867706
10144006504
1174319244
1240289120
1323ab0b65
14151a870c
15c9988d9
hex8955d68

144006504 has 16 divisors (see below), whose sum is σ = 360016320. Its totient is φ = 48002160.

The previous prime is 144006497. The next prime is 144006557. The reversal of 144006504 is 405600441.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6000271 = 144006504 / (1 + 4 + 4 + 0 + 0 + 6 + 5 + 0 + 4).

144006504 is a modest number, since divided by 6504 gives 1440 as remainder.

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 3 ways as a sum of consecutive naturals, for example, 3000112 + ... + 3000159.

It is an arithmetic number, because the mean of its divisors is an integer number (22501020).

Almost surely, 2144006504 is an apocalyptic number.

It is an amenable number.

144006504 is an abundant number, since it is smaller than the sum of its proper divisors (216009816).

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

144006504 is a wasteful number, since it uses less digits than its factorization.

144006504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000280 (or 6000276 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144006504 is about 12000.2709969400. The cubic root of 144006504 is about 524.1561700665.

Adding to 144006504 its reverse (405600441), we get a palindrome (549606945).

The spelling of 144006504 in words is "one hundred forty-four million, six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 6000271 12000542 18000813 24001084 36001626 48002168 72003252 144006504