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4131344431314 = 232229519135073
BaseRepresentation
bin111100000111100111010…
…100010011100011010010
3112121221201111102010121100
4330013213110103203102
51020141443133300224
612441525145005230
7604323365153232
oct74074724234322
915557644363540
104131344431314
111353103255961
12568822a83816
1323c779393a49
14103d5b1b3cc2
15726ebd88ac9
hex3c1e75138d2

4131344431314 has 12 divisors (see below), whose sum is σ = 8951246267886. Its totient is φ = 1377114810432.

The previous prime is 4131344431307. The next prime is 4131344431439.

4131344431314 is nontrivially palindromic in base 10.

4131344431314 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., 3958925987025 + 172418444289 = 1989705^2 + 415233^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114759567519 + ... + 114759567554.

Almost surely, 24131344431314 is an apocalyptic number.

4131344431314 is an abundant number, since it is smaller than the sum of its proper divisors (4819901836572).

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

4131344431314 is a wasteful number, since it uses less digits than its factorization.

4131344431314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229519135081 (or 229519135078 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 4131344431314 in words is "four trillion, one hundred thirty-one billion, three hundred forty-four million, four hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 229519135073 459038270146 688557405219 1377114810438 2065672215657 4131344431314