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144360045 = 3253208001
BaseRepresentation
bin10001001101011…
…00001001101101
3101001122020202100
420212230021231
5243424010140
622154045313
73402016524
oct1046541155
9331566670
10144360045
117453a925
1240419839
1323ba5a5b
141525b4bb
15ca18530
hex89ac26d

144360045 has 12 divisors (see below), whose sum is σ = 250224156. Its totient is φ = 76992000.

The previous prime is 144360037. The next prime is 144360049. The reversal of 144360045 is 540063441.

144360045 is a `hidden beast` number, since 14 + 4 + 3 + 600 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101666889 + 42693156 = 10083^2 + 6534^2 .

It is not a de Polignac number, because 144360045 - 23 = 144360037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144360049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1603956 + ... + 1604045.

It is an arithmetic number, because the mean of its divisors is an integer number (20852013).

Almost surely, 2144360045 is an apocalyptic number.

144360045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144360045 is a deficient number, since it is larger than the sum of its proper divisors (105864111).

144360045 is a wasteful number, since it uses less digits than its factorization.

144360045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208012 (or 3208009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144360045 is about 12014.9925093610. The cubic root of 144360045 is about 524.5847600950.

The spelling of 144360045 in words is "one hundred forty-four million, three hundred sixty thousand, forty-five".

Divisors: 1 3 5 9 15 45 3208001 9624003 16040005 28872009 48120015 144360045