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12433431040 = 2954856809
BaseRepresentation
bin10111001010001011…
…10001101000000000
31012002111200201221221
423211011301220000
5200430424243130
65413431324424
7620053264042
oct134505615000
935074621857
1012433431040
115300390848
1224abb20714
131231bac9b4
1485d405a92
154cb83987a
hex2e5171a00

12433431040 has 40 divisors (see below), whose sum is σ = 29811099780. Its totient is φ = 4973371392.

The previous prime is 12433430953. The next prime is 12433431041. The reversal of 12433431040 is 4013433421.

It can be written as a sum of positive squares in 2 ways, for example, as 11385743616 + 1047687424 = 106704^2 + 32368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12433430996 and 12433431014.

It is not an unprimeable number, because it can be changed into a prime (12433431041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2425845 + ... + 2430964.

Almost surely, 212433431040 is an apocalyptic number.

12433431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433431040 is an abundant number, since it is smaller than the sum of its proper divisors (17377668740).

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

12433431040 is an frugal number, since it uses more digits than its factorization.

12433431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856832 (or 4856816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12433431040 its reverse (4013433421), we get a palindrome (16446864461).

The spelling of 12433431040 in words is "twelve billion, four hundred thirty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4856809 9713618 19427236 24284045 38854472 48568090 77708944 97136180 155417888 194272360 310835776 388544720 621671552 777089440 1243343104 1554178880 2486686208 3108357760 6216715520 12433431040