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14211353104 = 2413569120077
BaseRepresentation
bin11010011110001000…
…00000101000010000
31100200102011112112021
431033010000220100
5213101101244404
610310102341224
71012112336224
oct151704005020
940612145467
1014211353104
116032a35a23
12290742a814
13145633c8a0
1498b5b2784
15582981454
hex34f100a10

14211353104 has 40 divisors (see below), whose sum is σ = 29704895640. Its totient is φ = 6547504128.

The previous prime is 14211353089. The next prime is 14211353159. The reversal of 14211353104 is 40135311241.

It can be written as a sum of positive squares in 4 ways, for example, as 1685266704 + 12526086400 = 41052^2 + 111920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58314 + ... + 178390.

It is an arithmetic number, because the mean of its divisors is an integer number (742622391).

Almost surely, 214211353104 is an apocalyptic number.

It is an amenable number.

14211353104 is an abundant number, since it is smaller than the sum of its proper divisors (15493542536).

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

14211353104 is a wasteful number, since it uses less digits than its factorization.

14211353104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120667 (or 120661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 14211353104 its reverse (40135311241), we get a palindrome (54346664345).

The spelling of 14211353104 in words is "fourteen billion, two hundred eleven million, three hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 569 1138 2276 4552 7397 9104 14794 29588 59176 118352 120077 240154 480308 960616 1561001 1921232 3122002 6244004 12488008 24976016 68323813 136647626 273295252 546590504 888209569 1093181008 1776419138 3552838276 7105676552 14211353104