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144007825 = 52132231987
BaseRepresentation
bin10001001010101…
…10001010010001
3101000222100121011
420211112022101
5243331222300
622142330521
73366021613
oct1045261221
9330870534
10144007825
117431a235
1240289a41
1323ab1640
14151a8db3
15c998eba
hex8956291

144007825 has 24 divisors (see below), whose sum is σ = 193265408. Its totient is φ = 105814080.

The previous prime is 144007819. The next prime is 144007847. The reversal of 144007825 is 528700441.

It is not a de Polignac number, because 144007825 - 211 = 144005777 is a prime.

It is a super-2 number, since 2×1440078252 = 41476507322461250, which contains 22 as substring.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 71482 + ... + 73468.

Almost surely, 2144007825 is an apocalyptic number.

It is an amenable number.

144007825 is a deficient number, since it is larger than the sum of its proper divisors (49257583).

144007825 is a wasteful number, since it uses less digits than its factorization.

144007825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 144007825 is about 12000.3260372375. The cubic root of 144007825 is about 524.1577727908.

The spelling of 144007825 in words is "one hundred forty-four million, seven thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 223 325 1115 1987 2899 5575 9935 14495 25831 49675 72475 129155 443101 645775 2215505 5760313 11077525 28801565 144007825