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144005616 = 24321000039
BaseRepresentation
bin10001001010101…
…01100111110000
3101000222020120100
420211111213300
5243331134431
622142312400
73366012306
oct1045254760
9330866510
10144005616
1174318607
1240288700
1323ab0631
14151a8276
15c9984e6
hex89559f0

144005616 has 30 divisors (see below), whose sum is σ = 403016120. Its totient is φ = 48001824.

The previous prime is 144005593. The next prime is 144005627. The reversal of 144005616 is 616500441.

144005616 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 5 + 616 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

144005616 is a modest number, since divided by 5616 gives 144 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 144005616.

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, 499876 + ... + 500163.

Almost surely, 2144005616 is an apocalyptic number.

144005616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144005616 is an abundant number, since it is smaller than the sum of its proper divisors (259010504).

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

144005616 is a wasteful number, since it uses less digits than its factorization.

144005616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000053 (or 1000044 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 144005616 is about 12000.2339977185. The cubic root of 144005616 is about 524.1550926808.

The spelling of 144005616 in words is "one hundred forty-four million, five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1000039 2000078 3000117 4000156 6000234 8000312 9000351 12000468 16000624 18000702 24000936 36001404 48001872 72002808 144005616