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12400434431 = 711161044603
BaseRepresentation
bin10111000110001111…
…11001110011111111
31012000012121100010022
423203013321303333
5200344002400211
65410252202355
7616202645030
oct134307716377
935005540108
1012400434431
1152937a3a20
1224a0a693bb
1312280c8a88
14858c96a87
154c89bcbdb
hex2e31f9cff

12400434431 has 8 divisors (see below), whose sum is σ = 15460281984. Its totient is φ = 9662676120.

The previous prime is 12400434419. The next prime is 12400434439. The reversal of 12400434431 is 13443400421.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12400434431 - 214 = 12400418047 is a prime.

It is a super-2 number, since 2×124004344312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12400434431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400434439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80522225 + ... + 80522378.

It is an arithmetic number, because the mean of its divisors is an integer number (1932535248).

Almost surely, 212400434431 is an apocalyptic number.

12400434431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12400434431 is a deficient number, since it is larger than the sum of its proper divisors (3059847553).

12400434431 is a wasteful number, since it uses less digits than its factorization.

12400434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161044621.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12400434431 its reverse (13443400421), we get a palindrome (25843834852).

The spelling of 12400434431 in words is "twelve billion, four hundred million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 77 161044603 1127312221 1771490633 12400434431