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314104431 = 3314771861
BaseRepresentation
bin10010101110001…
…101101001101111
3210220001011021110
4102232031221233
51120402320211
651100203103
710532562234
oct2256155157
9726034243
10314104431
11151338343
1289239493
13500c8914
142da0578b
151c897ea6
hex12b8da6f

314104431 has 16 divisors (see below), whose sum is σ = 441520128. Its totient is φ = 198333600.

The previous prime is 314104411. The next prime is 314104457. The reversal of 314104431 is 134401413.

It is not a de Polignac number, because 314104431 - 27 = 314104303 is a prime.

It is a super-2 number, since 2×3141044312 = 197323187147667522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314104398 and 314104407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314104411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31560 + ... + 40301.

It is an arithmetic number, because the mean of its divisors is an integer number (27595008).

Almost surely, 2314104431 is an apocalyptic number.

314104431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

314104431 is a deficient number, since it is larger than the sum of its proper divisors (127415697).

314104431 is a wasteful number, since it uses less digits than its factorization.

314104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71942.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314104431 is about 17722.9915928435. The cubic root of 314104431 is about 679.7637811293.

Adding to 314104431 its reverse (134401413), we get a palindrome (448505844).

The spelling of 314104431 in words is "three hundred fourteen million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 3 31 47 93 141 1457 4371 71861 215583 2227691 3377467 6683073 10132401 104701477 314104431