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314182471681 = 13137179985519
BaseRepresentation
bin1001001001001101011…
…11000001000000000001
31010000221220202020102001
410210212233001000001
520121421203043211
6400200004424001
731461506642311
oct4444657010001
91100856666361
10314182471681
111112758a6181
1250a830a8001
13238201986a0
14112c6957441
15828c837ac1
hex4926bc1001

314182471681 has 16 divisors (see below), whose sum is σ = 342724435200. Its totient is φ = 286289036928.

The previous prime is 314182471613. The next prime is 314182471693. The reversal of 314182471681 is 186174281413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 314182471681 - 27 = 314182471553 is a prime.

It is a super-2 number, since 2×3141824716812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314182471081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173961 + ... + 811558.

It is an arithmetic number, because the mean of its divisors is an integer number (21420277200).

Almost surely, 2314182471681 is an apocalyptic number.

It is an amenable number.

314182471681 is a deficient number, since it is larger than the sum of its proper divisors (28541963519).

314182471681 is a wasteful number, since it uses less digits than its factorization.

314182471681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985848.

The product of its digits is 258048, while the sum is 46.

The spelling of 314182471681 in words is "three hundred fourteen billion, one hundred eighty-two million, four hundred seventy-one thousand, six hundred eighty-one".

Divisors: 1 13 137 179 1781 2327 24523 318799 985519 12811747 135016103 176407901 1755209339 2293302713 24167882437 314182471681