Search a number
-
+
144315164 = 2277516863
BaseRepresentation
bin10001001101000…
…01001100011100
3101001112222012002
420212201030130
5243421041124
622153101432
73401441630
oct1046411434
9331488162
10144315164
117450a134
12403b7878
1323b8b4b6
1415248dc0
15ca0a0ae
hex89a131c

144315164 has 24 divisors (see below), whose sum is σ = 289056768. Its totient is φ = 61758000.

The previous prime is 144315139. The next prime is 144315167. The reversal of 144315164 is 461513441.

144315164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144315167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17597 + ... + 24459.

It is an arithmetic number, because the mean of its divisors is an integer number (12044032).

Almost surely, 2144315164 is an apocalyptic number.

144315164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144315164 is an abundant number, since it is smaller than the sum of its proper divisors (144741604).

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

144315164 is a wasteful number, since it uses less digits than its factorization.

144315164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7623 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 144315164 is about 12013.1246559752. The cubic root of 144315164 is about 524.5303906445.

The spelling of 144315164 in words is "one hundred forty-four million, three hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 751 1502 3004 5257 6863 10514 13726 21028 27452 48041 96082 192164 5154113 10308226 20616452 36078791 72157582 144315164