Search a number
-
+
413324130431 = 17167985114779
BaseRepresentation
bin1100000001111000000…
…10011011100001111111
31110111212021021022211002
412000330002123201333
523232441434133211
6513513430320515
741601362066222
oct6007402334177
91414767238732
10413324130431
1114a320772843
12681314b913b
132cc8cc092a4
141600d9c35b9
15ab4152403b
hex603c09b87f

413324130431 has 16 divisors (see below), whose sum is σ = 440332381440. Its totient is φ = 386616124800.

The previous prime is 413324130389. The next prime is 413324130469. The reversal of 413324130431 is 134031423314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413324130431 - 26 = 413324130367 is a prime.

It is a super-2 number, since 2×4133241304312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413324130394 and 413324130403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413324130731) 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 15 ways as a sum of consecutive naturals, for example, 27959600 + ... + 27974378.

It is an arithmetic number, because the mean of its divisors is an integer number (27520773840).

Almost surely, 2413324130431 is an apocalyptic number.

413324130431 is a deficient number, since it is larger than the sum of its proper divisors (27008251009).

413324130431 is a wasteful number, since it uses less digits than its factorization.

413324130431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 413324130431 its reverse (134031423314), we get a palindrome (547355553745).

The spelling of 413324130431 in words is "four hundred thirteen billion, three hundred twenty-four million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 17 167 2839 9851 14779 167467 251243 1645117 2468093 27966989 41957581 145587929 2474994793 24313184143 413324130431