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311413440231 = 32647271119727
BaseRepresentation
bin1001000100000011010…
…11111111111011100111
31002202210221022212100200
410202001223333323213
520100233320041411
6355021130441543
731333054365315
oct4420153777347
91082727285320
10311413440231
1111008484a933
125042b8932b3
132349b5c223a
1411102cb50b5
1581796b8e56
hex4881affee7

311413440231 has 24 divisors (see below), whose sum is σ = 450703678464. Its totient is φ = 207201114960.

The previous prime is 311413440227. The next prime is 311413440241. The reversal of 311413440231 is 132044314113.

311413440231 is a `hidden beast` number, since 3 + 11 + 413 + 4 + 4 + 0 + 231 = 666.

It is not a de Polignac number, because 311413440231 - 22 = 311413440227 is a prime.

It is a super-2 number, since 2×3114134402312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311413440195 and 311413440204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311413440241) 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 23 ways as a sum of consecutive naturals, for example, 15776290 + ... + 15796016.

It is an arithmetic number, because the mean of its divisors is an integer number (18779319936).

Almost surely, 2311413440231 is an apocalyptic number.

311413440231 is a deficient number, since it is larger than the sum of its proper divisors (139290238233).

311413440231 is a wasteful number, since it uses less digits than its factorization.

311413440231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23091 (or 23088 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 311413440231 its reverse (132044314113), we get a palindrome (443457754344).

The spelling of 311413440231 in words is "three hundred eleven billion, four hundred thirteen million, four hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 9 647 1941 2711 5823 8133 19727 24399 59181 177543 1754017 5262051 12763369 15786153 38290107 53479897 114870321 160439691 481319073 34601493359 103804480077 311413440231