Search a number
-
+
314131032324 = 223212177169977
BaseRepresentation
bin1001001001000111010…
…10110010100100000100
31010000211022221211212200
410210203222302210010
520121320021013244
6400150530114500
731460313501324
oct4444352624404
91100738854780
10314131032324
1111124986200a
1250a69a1ba30
13238126280b5
14112bdba7284
158288076669
hex4923ab2904

314131032324 has 36 divisors (see below), whose sum is σ = 794706021564. Its totient is φ = 104624289792.

The previous prime is 314131032301. The next prime is 314131032331. The reversal of 314131032324 is 423230131413.

It is a happy number.

314131032324 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 310 + 323 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115927992324 + 198203040000 = 340482^2 + 445200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3541177 + ... + 3628800.

Almost surely, 2314131032324 is an apocalyptic number.

It is an amenable number.

314131032324 is an abundant number, since it is smaller than the sum of its proper divisors (480574989240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314131032324 is a wasteful number, since it uses less digits than its factorization.

314131032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171204 (or 7171199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314131032324 its reverse (423230131413), we get a palindrome (737361163737).

The spelling of 314131032324 in words is "three hundred fourteen billion, one hundred thirty-one million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1217 2434 3651 4868 7302 10953 14604 21906 43812 7169977 14339954 21509931 28679908 43019862 64529793 86039724 129059586 258119172 8725862009 17451724018 26177586027 34903448036 52355172054 78532758081 104710344108 157065516162 314131032324