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314131043241 = 3348725319439
BaseRepresentation
bin1001001001000111010…
…10110101001110101001
31010000211022222101212000
410210203222311032221
520121320021340431
6400150530241213
731460313545211
oct4444352651651
91100738871760
10314131043241
1111124986a234
1250a69a26209
1323812630062
14112bdbab241
1582880799e6
hex4923ab53a9

314131043241 has 32 divisors (see below), whose sum is σ = 466568601600. Its totient is φ = 208885968720.

The previous prime is 314131043207. The next prime is 314131043267. The reversal of 314131043241 is 142340131413.

314131043241 is a `hidden beast` number, since 3 + 1 + 413 + 1 + 0 + 4 + 3 + 241 = 666.

It is not a de Polignac number, because 314131043241 - 27 = 314131043113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314131043641) 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 31 ways as a sum of consecutive naturals, for example, 33275400 + ... + 33284838.

It is an arithmetic number, because the mean of its divisors is an integer number (14580268800).

Almost surely, 2314131043241 is an apocalyptic number.

It is an amenable number.

314131043241 is a deficient number, since it is larger than the sum of its proper divisors (152437558359).

314131043241 is a wasteful number, since it uses less digits than its factorization.

314131043241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12460 counting only the distinct ones).

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

Adding to 314131043241 its reverse (142340131413), we get a palindrome (456471174654).

The spelling of 314131043241 in words is "three hundred fourteen billion, one hundred thirty-one million, forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 487 1461 2531 4383 7593 9439 13149 22779 28317 68337 84951 254853 1232597 3697791 4596793 11093373 13790379 23890109 33280119 41371137 71670327 124113411 215010981 645032943 11634483083 34903449249 104710347747 314131043241