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144716160329 = 132856308641
BaseRepresentation
bin1000011011000111000…
…0010101110101001001
3111211112111222122110222
42012301300111311021
54332334314112304
6150252013315425
713312126031606
oct2066160256511
9454474878428
10144716160329
1156412555204
1224069195b75
1310853990600
14700bb256ad
153b6ecac4be
hex21b1c15d49

144716160329 has 6 divisors (see below), whose sum is σ = 156704481486. Its totient is φ = 133584147840.

The previous prime is 144716160319. The next prime is 144716160341. The reversal of 144716160329 is 923061617441.

It can be written as a sum of positive squares in 3 ways, for example, as 19454670400 + 125261489929 = 139480^2 + 353923^2 .

It is not a de Polignac number, because 144716160329 - 28 = 144716160073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144716160329.

It is not an unprimeable number, because it can be changed into a prime (144716160319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428154152 + ... + 428154489.

It is an arithmetic number, because the mean of its divisors is an integer number (26117413581).

Almost surely, 2144716160329 is an apocalyptic number.

It is an amenable number.

144716160329 is a deficient number, since it is larger than the sum of its proper divisors (11988321157).

144716160329 is an equidigital number, since it uses as much as digits as its factorization.

144716160329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856308667 (or 856308654 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 144716160329 in words is "one hundred forty-four billion, seven hundred sixteen million, one hundred sixty thousand, three hundred twenty-nine".

Divisors: 1 13 169 856308641 11132012333 144716160329