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144145032 = 23322692647
BaseRepresentation
bin10001001011101…
…11101010001000
3101001020022210220
420211313222020
5243400120112
622145310040
73400132623
oct1045675210
9331208726
10144145032
1174403329
1240335320
1323b2bc25
1415202dba
15c9c498c
hex8977a88

144145032 has 32 divisors (see below), whose sum is σ = 360657600. Its totient is φ = 48009024.

The previous prime is 144144977. The next prime is 144145061. The reversal of 144145032 is 230541441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144144993 and 144145011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53133 + ... + 55779.

It is an arithmetic number, because the mean of its divisors is an integer number (11270550).

Almost surely, 2144145032 is an apocalyptic number.

144145032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144145032 is an abundant number, since it is smaller than the sum of its proper divisors (216512568).

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

144145032 is a wasteful number, since it uses less digits than its factorization.

144145032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144145032 is about 12006.0414791887. The cubic root of 144145032 is about 524.3241880233.

Adding to 144145032 its reverse (230541441), we get a palindrome (374686473).

The spelling of 144145032 in words is "one hundred forty-four million, one hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 2269 2647 4538 5294 6807 7941 9076 10588 13614 15882 18152 21176 27228 31764 54456 63528 6006043 12012086 18018129 24024172 36036258 48048344 72072516 144145032