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314434111131 = 32712611395767
BaseRepresentation
bin1001001001101011011…
…10111100011010011011
31010001121110020211211200
410210311232330122123
520122430113024011
6400240554125243
731500653563110
oct4446556743233
91101543224750
10314434111131
11111394949668
1250b33420823
132386036337a
141130c13c907
1582a4992856
hex4935bbc69b

314434111131 has 24 divisors (see below), whose sum is σ = 519108305664. Its totient is φ = 179661933360.

The previous prime is 314434111087. The next prime is 314434111141. The reversal of 314434111131 is 131111434413.

314434111131 is a `hidden beast` number, since 314 + 4 + 341 + 1 + 1 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 314434111131 - 218 = 314433848987 is a prime.

It is a super-2 number, since 2×3144341111312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314434111095 and 314434111104.

It is not an unprimeable number, because it can be changed into a prime (314434111141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596610 + ... + 992376.

It is an arithmetic number, because the mean of its divisors is an integer number (21629512736).

Almost surely, 2314434111131 is an apocalyptic number.

314434111131 is a deficient number, since it is larger than the sum of its proper divisors (204674194533).

314434111131 is a wasteful number, since it uses less digits than its factorization.

314434111131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408391 (or 408388 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 314434111131 its reverse (131111434413), we get a palindrome (445545545544).

The spelling of 314434111131 in words is "three hundred fourteen billion, four hundred thirty-four million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 12611 37833 88277 113499 264831 395767 794493 1187301 2770369 3561903 8311107 24933321 4991017637 14973052911 34937123459 44919158733 104811370377 314434111131