Search a number
-
+
434140031313 = 352297801679
BaseRepresentation
bin1100101000101001100…
…00110010100101010001
31112111120222001122200000
412110110300302211101
524103104322000223
6531235143320213
743236252244002
oct6242460624521
91474528048600
10434140031313
1115813280320a
1270180750069
1331c296434c1
14170263b31a9
15b45dc08543
hex6514c32951

434140031313 has 24 divisors (see below), whose sum is σ = 653156649600. Its totient is φ = 288162778608.

The previous prime is 434140031243. The next prime is 434140031323. The reversal of 434140031313 is 313130041434.

434140031313 is a `hidden beast` number, since 4 + 341 + 4 + 0 + 0 + 3 + 1 + 313 = 666.

It is not a de Polignac number, because 434140031313 - 218 = 434139769169 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 (434140031323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3845193 + ... + 3956486.

It is an arithmetic number, because the mean of its divisors is an integer number (27214860400).

Almost surely, 2434140031313 is an apocalyptic number.

It is an amenable number.

434140031313 is a deficient number, since it is larger than the sum of its proper divisors (219016618287).

434140031313 is an equidigital number, since it uses as much as digits as its factorization.

434140031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801923 (or 7801911 counting only the distinct ones).

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

Adding to 434140031313 its reverse (313130041434), we get a palindrome (747270072747).

The spelling of 434140031313 in words is "four hundred thirty-four billion, one hundred forty million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 229 243 687 2061 6183 18549 55647 7801679 23405037 70215111 210645333 631935999 1786584491 1895807997 5359753473 16079260419 48237781257 144713343771 434140031313