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144738496 = 267323077
BaseRepresentation
bin10001010000010…
…00100011000000
3101002100110220001
420220020203000
5244023112441
622210125344
73405154060
oct1050104300
9332313801
10144738496
11747791a1
1240580854
1323ca90a6
14153193a0
15ca90731
hex8a088c0

144738496 has 28 divisors (see below), whose sum is σ = 328247248. Its totient is φ = 62030592.

The previous prime is 144738491. The next prime is 144738497. The reversal of 144738496 is 694837441.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (144738491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161091 + ... + 161986.

It is an arithmetic number, because the mean of its divisors is an integer number (11723116).

Almost surely, 2144738496 is an apocalyptic number.

144738496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144738496 is an abundant number, since it is smaller than the sum of its proper divisors (183508752).

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

144738496 is an equidigital number, since it uses as much as digits as its factorization.

144738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323096 (or 323086 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 144738496 is about 12030.7313160921. The cubic root of 144738496 is about 525.0427732346.

The spelling of 144738496 in words is "one hundred forty-four million, seven hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 323077 646154 1292308 2261539 2584616 4523078 5169232 9046156 10338464 18092312 20676928 36184624 72369248 144738496