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432132121413 = 32401119737357
BaseRepresentation
bin1100100100111010001…
…01001110001101000101
31112022102000211021002200
412102131011032031011
524040001310341123
6530304015025113
743135431266166
oct6223505161505
91468360737080
10432132121413
111572a2353843
126b90020b199
1331999659a35
1416cb585976d
15b3927d2143
hex649d14e345

432132121413 has 12 divisors (see below), whose sum is σ = 625747432908. Its totient is φ = 287369654400.

The previous prime is 432132121403. The next prime is 432132121439. The reversal of 432132121413 is 314121231234.

432132121413 is a `hidden beast` number, since 4 + 32 + 1 + 3 + 212 + 1 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312483236004 + 119648885409 = 559002^2 + 345903^2 .

It is not a de Polignac number, because 432132121413 - 224 = 432115344197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432132121403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59865070 + ... + 59872287.

It is an arithmetic number, because the mean of its divisors is an integer number (52145619409).

Almost surely, 2432132121413 is an apocalyptic number.

It is an amenable number.

432132121413 is a deficient number, since it is larger than the sum of its proper divisors (193615311495).

432132121413 is a wasteful number, since it uses less digits than its factorization.

432132121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119737764 (or 119737761 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 432132121413 its reverse (314121231234), we get a palindrome (746253352647).

The spelling of 432132121413 in words is "four hundred thirty-two billion, one hundred thirty-two million, one hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 401 1203 3609 119737357 359212071 1077636213 48014680157 144044040471 432132121413