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314431585873 = 31587156711027
BaseRepresentation
bin1001001001101011001…
…01010011111001010001
31010001121021111112211121
410210311211103321101
520122423441221443
6400240424042241
731500623244616
oct4446545237121
91101537445747
10314431585873
11111393484379
1250b32603381
132385c98ab32
141130ba8250d
1582a46444ed
hex4935953e51

314431585873 has 16 divisors (see below), whose sum is σ = 325364465664. Its totient is φ = 303548867280.

The previous prime is 314431585813. The next prime is 314431585913. The reversal of 314431585873 is 378585134413.

It is a cyclic number.

It is not a de Polignac number, because 314431585873 - 229 = 313894714961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314431585873.

It is not an unprimeable number, because it can be changed into a prime (314431585813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28509186 + ... + 28520212.

It is an arithmetic number, because the mean of its divisors is an integer number (20335279104).

Almost surely, 2314431585873 is an apocalyptic number.

It is an amenable number.

314431585873 is a deficient number, since it is larger than the sum of its proper divisors (10932879791).

314431585873 is a wasteful number, since it uses less digits than its factorization.

314431585873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212.

The product of its digits is 4838400, while the sum is 52.

The spelling of 314431585873 in words is "three hundred fourteen billion, four hundred thirty-one million, five hundred eighty-five thousand, eight hundred seventy-three".

Divisors: 1 31 587 1567 11027 18197 48577 341837 919829 6472849 17279309 28514699 200658319 535658579 10142954383 314431585873