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13443432400 = 245233608581
BaseRepresentation
bin11001000010100101…
…00111111111010000
31021200220012010100201
430201102213333100
5210013004314100
610101551224544
7654066201316
oct144122477720
937626163321
1013443432400
115779515812
122732218154
13136320c238
149175d80b6
1553a34436a
hex3214a7fd0

13443432400 has 30 divisors (see below), whose sum is σ = 32297847302. Its totient is φ = 5377372800.

The previous prime is 13443432371. The next prime is 13443432421. The reversal of 13443432400 is 423434431.

13443432400 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 3 ways, for example, as 4247389584 + 9196042816 = 65172^2 + 95896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16803891 + ... + 16804690.

Almost surely, 213443432400 is an apocalyptic number.

13443432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13443432400 is an abundant number, since it is smaller than the sum of its proper divisors (18854414902).

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

13443432400 is a wasteful number, since it uses less digits than its factorization.

13443432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33608599 (or 33608588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13443432400 its reverse (423434431), we get a palindrome (13866866831).

The spelling of 13443432400 in words is "thirteen billion, four hundred forty-three million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 33608581 67217162 134434324 168042905 268868648 336085810 537737296 672171620 840214525 1344343240 1680429050 2688686480 3360858100 6721716200 13443432400