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144041144 = 231329163293
BaseRepresentation
bin10001001010111…
…10010010111000
3101001001001022012
420211132102320
5243333304034
622143145052
73366221012
oct1045362270
9331031265
10144041144
1174342275
12402a5188
1323ac3860
14151b71b2
15c9a3cce
hex895e4b8

144041144 has 64 divisors (see below), whose sum is σ = 303760800. Its totient is φ = 63576576.

The previous prime is 144041143. The next prime is 144041167. The reversal of 144041144 is 441140441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144041143) 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 15 ways as a sum of consecutive naturals, for example, 491462 + ... + 491754.

Almost surely, 2144041144 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 144041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151880400).

144041144 is an abundant number, since it is smaller than the sum of its proper divisors (159719656).

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

144041144 is a wasteful number, since it uses less digits than its factorization.

144041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 144041144 is about 12001.7142108950. The cubic root of 144041144 is about 524.1981943584.

Adding to 144041144 its reverse (441140441), we get a palindrome (585181585).

The spelling of 144041144 in words is "one hundred forty-four million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 163 232 293 326 377 586 652 754 1172 1304 1508 2119 2344 3016 3809 4238 4727 7618 8476 8497 9454 15236 16952 16994 18908 30472 33988 37816 47759 61451 67976 95518 110461 122902 191036 220922 245804 382072 441844 491608 620867 883688 1241734 1385011 2483468 2770022 4966936 5540044 11080088 18005143 36010286 72020572 144041144