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144145504 = 2541181607
BaseRepresentation
bin10001001011101…
…11110001100000
3101001020100110101
420211313301200
5243400124004
622145312144
73400134166
oct1045676140
9331210411
10144145504
1174403718
1240335654
1323b2c1c9
1415203236
15c9c4ba4
hex8977c60

144145504 has 48 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 69811200.

The previous prime is 144145487. The next prime is 144145523. The reversal of 144145504 is 405541441.

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 7 ways as a sum of consecutive naturals, for example, 237169 + ... + 237775.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2144145504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

144145504 is an abundant number, since it is smaller than the sum of its proper divisors (148650272).

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

144145504 is a wasteful number, since it uses less digits than its factorization.

144145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 144145504 is about 12006.0611359430. The cubic root of 144145504 is about 524.3247603190.

Adding to 144145504 its reverse (405541441), we get a palindrome (549686945).

The spelling of 144145504 in words is "one hundred forty-four million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 181 328 362 607 656 724 1214 1312 1448 2428 2896 4856 5792 7421 9712 14842 19424 24887 29684 49774 59368 99548 109867 118736 199096 219734 237472 398192 439468 796384 878936 1757872 3515744 4504547 9009094 18018188 36036376 72072752 144145504