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12433431111440 = 245155417888893
BaseRepresentation
bin1011010011101110001000…
…1111101010011100010000
31122000121212012011220012212
42310323202033222130100
53112202131331031230
642235501151011252
72422200004454513
oct264734217523420
948017765156185
1012433431111440
113a63a967a6019
121489822b09b28
136c26101bc971
1430dad1b74d7a
1516864e793895
hexb4ee23ea710

12433431111440 has 20 divisors (see below), whose sum is σ = 28907727334284. Its totient is φ = 4973372444544.

The previous prime is 12433431111421. The next prime is 12433431111523. The reversal of 12433431111440 is 4411113433421.

It is a happy number.

12433431111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9827673247744 + 2605757863696 = 3134912^2 + 1614236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×124334311114402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12433431111397 and 12433431111406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77708944367 + ... + 77708944526.

Almost surely, 212433431111440 is an apocalyptic number.

12433431111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433431111440 is an abundant number, since it is smaller than the sum of its proper divisors (16474296222844).

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

12433431111440 is a wasteful number, since it uses less digits than its factorization.

12433431111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155417888906 (or 155417888900 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12433431111440 its reverse (4411113433421), we get a palindrome (16844544544861).

The spelling of 12433431111440 in words is "twelve trillion, four hundred thirty-three billion, four hundred thirty-one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 155417888893 310835777786 621671555572 777089444465 1243343111144 1554178888930 2486686222288 3108357777860 6216715555720 12433431111440