Search a number
-
+
144610464 = 2531506359
BaseRepresentation
bin10001001111010…
…01010010100000
3101002002222021010
420213221102200
5244010013324
622203300520
73404111565
oct1047512240
9332088233
10144610464
11746a0a89
124051a740
1323c62a2b
14152c486c
15ca67829
hex89e94a0

144610464 has 24 divisors (see below), whose sum is σ = 379602720. Its totient is φ = 48203456.

The previous prime is 144610451. The next prime is 144610471. The reversal of 144610464 is 464016441.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 753084 + ... + 753275.

It is an arithmetic number, because the mean of its divisors is an integer number (15816780).

Almost surely, 2144610464 is an apocalyptic number.

It is an amenable number.

144610464 is an abundant number, since it is smaller than the sum of its proper divisors (234992256).

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

144610464 is a wasteful number, since it uses less digits than its factorization.

144610464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506372 (or 1506364 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144610464 is about 12025.4090990702. The cubic root of 144610464 is about 524.8879143938.

The spelling of 144610464 in words is "one hundred forty-four million, six hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1506359 3012718 4519077 6025436 9038154 12050872 18076308 24101744 36152616 48203488 72305232 144610464