Search a number
-
+
144313056 = 25331959149
BaseRepresentation
bin10001001101000…
…00101011100000
3101001112212022000
420212200223200
5243421004211
622153044000
73401432526
oct1046405340
9331485260
10144313056
1174508598
12403b6600
1323b8a554
1415248316
15ca09656
hex89a0ae0

144313056 has 192 divisors, whose sum is σ = 453600000. Its totient is φ = 44499456.

The previous prime is 144313027. The next prime is 144313069. The reversal of 144313056 is 650313441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968470 + ... + 968618.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 2144313056 is an apocalyptic number.

144313056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

144313056 is an abundant number, since it is smaller than the sum of its proper divisors (309286944).

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

144313056 is a wasteful number, since it uses less digits than its factorization.

144313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 144313056 is about 12013.0369182817. The cubic root of 144313056 is about 524.5278367077.

Adding to 144313056 its reverse (650313441), we get a palindrome (794626497).

The spelling of 144313056 in words is "one hundred forty-four million, three hundred thirteen thousand, fifty-six".