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314011442133 = 32191836324223
BaseRepresentation
bin1001001000111001000…
…10100101101111010101
31010000111222221000222100
410210130202211233111
520121043412122013
6400131014552313
731454332135014
oct4443442455725
91100458830870
10314011442133
11111198300144
1250a35968699
13237c391587c
14112abd56a7b
15827c802473
hex491c8a5bd5

314011442133 has 12 divisors (see below), whose sum is σ = 477444298240. Its totient is φ = 198323015976.

The previous prime is 314011442119. The next prime is 314011442137. The reversal of 314011442133 is 331244110413.

314011442133 is a `hidden beast` number, since 3 + 1 + 401 + 1 + 44 + 213 + 3 = 666.

It is not a de Polignac number, because 314011442133 - 221 = 314009344981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314011442097 and 314011442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314011442137) 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 11 ways as a sum of consecutive naturals, for example, 918161941 + ... + 918162282.

Almost surely, 2314011442133 is an apocalyptic number.

It is an amenable number.

314011442133 is a deficient number, since it is larger than the sum of its proper divisors (163432856107).

314011442133 is a wasteful number, since it uses less digits than its factorization.

314011442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836324248 (or 1836324245 counting only the distinct ones).

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

Adding to 314011442133 its reverse (331244110413), we get a palindrome (645255552546).

The spelling of 314011442133 in words is "three hundred fourteen billion, eleven million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 1836324223 5508972669 16526918007 34890160237 104670480711 314011442133