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3104432344013 = 711213909131013
BaseRepresentation
bin101101001011001110100…
…101100100101111001101
3101222210002020011000122012
4231023032211210233031
5401330334140002023
610334053451031005
7440200504351250
oct55131645445715
911883066130565
103104432344013
11a97645142500
124217b013b465
131969926b84c0
14aa380891097
1555b47b55978
hex2d2ce964bcd

3104432344013 has 48 divisors (see below), whose sum is σ = 4200363474048. Its totient is φ = 2232640713600.

The previous prime is 3104432344007. The next prime is 3104432344031.

3104432344013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3104432344013 - 28 = 3104432343757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104432344073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100085495 + ... + 100116507.

It is an arithmetic number, because the mean of its divisors is an integer number (87507572376).

Almost surely, 23104432344013 is an apocalyptic number.

It is an amenable number.

3104432344013 is a deficient number, since it is larger than the sum of its proper divisors (1095931130035).

3104432344013 is a wasteful number, since it uses less digits than its factorization.

3104432344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40146 (or 40135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 3104432344013 in words is "three trillion, one hundred four billion, four hundred thirty-two million, three hundred forty-four thousand, thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 9091 11011 31013 63637 100001 118183 217091 341143 403169 700007 827281 1100011 1300013 2388001 2822183 3752573 4434859 7700077 9100091 14300143 26268011 31044013 48783449 100101001 281939183 341484143 1973574281 3101331013 3665209379 21709317091 25656465653 34114641143 40317303169 238802488001 282221122183 443490334859 3104432344013