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144292505 = 572588949
BaseRepresentation
bin10001001100110…
…11101010011001
3101001111211002212
420212123222121
5243414330010
622152404505
73401315600
oct1046335231
9331454085
10144292505
11744a4105
12403a6735
1323b810a6
1415240a37
15ca03505
hex899ba99

144292505 has 12 divisors (see below), whose sum is σ = 201420900. Its totient is φ = 98943264.

The previous prime is 144292459. The next prime is 144292541. The reversal of 144292505 is 505292441.

144292505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29888089 + 114404416 = 5467^2 + 10696^2 .

It is not a de Polignac number, because 144292505 - 212 = 144288409 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294230 + ... + 294719.

It is an arithmetic number, because the mean of its divisors is an integer number (16785075).

Almost surely, 2144292505 is an apocalyptic number.

It is an amenable number.

144292505 is a deficient number, since it is larger than the sum of its proper divisors (57128395).

144292505 is an equidigital number, since it uses as much as digits as its factorization.

144292505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588968 (or 588961 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 144292505 is about 12012.1815254349. The cubic root of 144292505 is about 524.5029369432.

The spelling of 144292505 in words is "one hundred forty-four million, two hundred ninety-two thousand, five hundred five".

Divisors: 1 5 7 35 49 245 588949 2944745 4122643 20613215 28858501 144292505