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144045504 = 26322383131
BaseRepresentation
bin10001001010111…
…11010111000000
3101001001021021200
420211133113000
5243333424004
622143221200
73366236511
oct1045372700
9331037250
10144045504
1174345579
12402a7800
1323ac5835
14151b8a08
15c9a5239
hex895f5c0

144045504 has 168 divisors, whose sum is σ = 439350912. Its totient is φ = 45027840.

The previous prime is 144045497. The next prime is 144045529. The reversal of 144045504 is 405540441.

It is a super-2 number, since 2×1440455042 = 41498214445228032, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1099519 + ... + 1099649.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2144045504 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 144045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

144045504 is an abundant number, since it is smaller than the sum of its proper divisors (295305408).

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

144045504 is a wasteful number, since it uses less digits than its factorization.

144045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 144045504 is about 12001.8958502397. The cubic root of 144045504 is about 524.2034833127.

Adding to 144045504 its reverse (405540441), we get a palindrome (549585945).

The spelling of 144045504 in words is "one hundred forty-four million, forty-five thousand, five hundred four".