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12411444432 = 2431971312547
BaseRepresentation
bin10111000111100011…
…11001110011010000
31012000222022201000010
423203301321303100
5200404312210212
65411324154520
7616365352122
oct134361716320
935028281003
1012411444432
115299a339a2
1224a4698a40
13122a48227a
1485a521212
154c994503c
hex2e3c79cd0

12411444432 has 40 divisors (see below), whose sum is σ = 32225678496. Its totient is φ = 4116144256.

The previous prime is 12411444431. The next prime is 12411444457. The reversal of 12411444432 is 23444411421.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12411444432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411444431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646818 + ... + 665729.

Almost surely, 212411444432 is an apocalyptic number.

12411444432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12411444432 is an abundant number, since it is smaller than the sum of its proper divisors (19814234064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12411444432 is a wasteful number, since it uses less digits than its factorization.

12411444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312755 (or 1312749 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12411444432 its reverse (23444411421), we get a palindrome (35855855853).

The spelling of 12411444432 in words is "twelve billion, four hundred eleven million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 1312547 2625094 3937641 5250188 7875282 10500376 15750564 21000752 31501128 63002256 258571759 517143518 775715277 1034287036 1551430554 2068574072 3102861108 4137148144 6205722216 12411444432