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413112343211314 = 210110391319680989
BaseRepresentation
bin101110111101110010011011…
…0011110000010110100110010
32000011201011011111100002102121
41131323210312132002310302
5413121413034330230224
64022341105052304454
7153005244656150245
oct13573446636026462
92004634144302377
10413112343211314
1110a6a2a62a2087a
123a3bbb33a7212a
1314968432cc7626
147402a5bb2d25c
1532b6000467be4
hex177b936782d32

413112343211314 has 16 divisors (see below), whose sum is σ = 625809900827160. Its totient is φ = 204509082505600.

The previous prime is 413112343211299. The next prime is 413112343211339.

413112343211314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 262166129487025 + 150946213724289 = 16191545^2 + 12286017^2 .

It is a super-2 number, since 2×4131123432113142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413112343211314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11149932 + ... + 30830920.

Almost surely, 2413112343211314 is an apocalyptic number.

413112343211314 is a deficient number, since it is larger than the sum of its proper divisors (212697557615846).

413112343211314 is a wasteful number, since it uses less digits than its factorization.

413112343211314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19785005.

The product of its digits is 20736, while the sum is 34.

The spelling of 413112343211314 in words is "four hundred thirteen trillion, one hundred twelve billion, three hundred forty-three million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 101 202 103913 207826 10495213 19680989 20990426 39361978 1987779889 3975559778 2045110609957 4090221219914 206556171605657 413112343211314