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314966663 = 11972111399
BaseRepresentation
bin10010110001100…
…000001010000111
3210221122222000222
4102301200022013
51121112413123
651130454555
710543113104
oct2261401207
9727588028
10314966663
11151877130
128959445b
135033b20b
142db8baab
151c9b86c8
hex12c60287

314966663 has 16 divisors (see below), whose sum is σ = 349036800. Its totient is φ = 281836800.

The previous prime is 314966647. The next prime is 314966683. The reversal of 314966663 is 366669413.

It is a cyclic number.

It is not a de Polignac number, because 314966663 - 24 = 314966647 is a prime.

It is a super-3 number, since 3×3149666633 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314966683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224438 + ... + 225836.

It is an arithmetic number, because the mean of its divisors is an integer number (21814800).

Almost surely, 2314966663 is an apocalyptic number.

314966663 is a deficient number, since it is larger than the sum of its proper divisors (34070137).

314966663 is a wasteful number, since it uses less digits than its factorization.

314966663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718.

The product of its digits is 419904, while the sum is 44.

The square root of 314966663 is about 17747.3001608695. The cubic root of 314966663 is about 680.3852077836.

It can be divided in two parts, 31 and 4966663, that added together give a palindrome (4966694).

The spelling of 314966663 in words is "three hundred fourteen million, nine hundred sixty-six thousand, six hundred sixty-three".

Divisors: 1 11 97 211 1067 1399 2321 15389 20467 135703 225137 295189 1492733 3247079 28633333 314966663