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12340434431 = 1319734391559
BaseRepresentation
bin10110111111000110…
…00001010111111111
31011212000201000121002
423133203001113333
5200233122400211
65400310200515
7614543650643
oct133743012777
934760630532
1012340434431
115262943046
12248495313b
13121884bb10
14850d18c23
154c35ba03b
hex2df8c15ff

12340434431 has 32 divisors (see below), whose sum is σ = 14222208000. Its totient is φ = 10612747008.

The previous prime is 12340434397. The next prime is 12340434479. The reversal of 12340434431 is 13443404321.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12340434431 is a prime.

It is a super-2 number, since 2×123404344312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12340434394 and 12340434403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340434031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7914830 + ... + 7916388.

It is an arithmetic number, because the mean of its divisors is an integer number (444444000).

Almost surely, 212340434431 is an apocalyptic number.

12340434431 is a deficient number, since it is larger than the sum of its proper divisors (1881773569).

12340434431 is a wasteful number, since it uses less digits than its factorization.

12340434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12340434431 its reverse (13443404321), we get a palindrome (25783838752).

The spelling of 12340434431 in words is "twelve billion, three hundred forty million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 13 19 73 247 439 949 1387 1559 5707 8341 18031 20267 29621 32047 108433 113807 385073 416611 608893 684401 1479491 2162333 7915609 8897213 13003619 28110329 49961273 169047047 649496549 949264187 12340434431