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13412000144 = 24838250009
BaseRepresentation
bin11000111110110101…
…01110000110010000
31021121201001012102002
430133122232012100
5204431433001034
610054505413132
7653235056144
oct143732560620
937551035362
1013412000144
1157627a7244
12272379a1a8
13135985537a
14913375224
155376d5e7e
hex31f6ae190

13412000144 has 10 divisors (see below), whose sum is σ = 25985750310. Its totient is φ = 6706000064.

The previous prime is 13412000141. The next prime is 13412000191. The reversal of 13412000144 is 44100021431.

13412000144 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 only one way, i.e., 8030310544 + 5381689600 = 89612^2 + 73360^2 .

It is not an unprimeable number, because it can be changed into a prime (13412000141) 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 as a sum of consecutive naturals, namely, 419124989 + ... + 419125020.

It is an arithmetic number, because the mean of its divisors is an integer number (2598575031).

Almost surely, 213412000144 is an apocalyptic number.

It is an amenable number.

13412000144 is a deficient number, since it is larger than the sum of its proper divisors (12573750166).

13412000144 is an equidigital number, since it uses as much as digits as its factorization.

13412000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838250017 (or 838250011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13412000144 its reverse (44100021431), we get a palindrome (57512021575).

The spelling of 13412000144 in words is "thirteen billion, four hundred twelve million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 838250009 1676500018 3353000036 6706000072 13412000144