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13431434144 = 25419732317
BaseRepresentation
bin11001000001001001…
…10110101110100000
31021200001121112211212
430200210312232200
5210001421343034
610100442125252
7653562210062
oct144044665640
937601545755
1013431434144
1157727702a7
12272a1b0828
13136089ac8b
14915b93732
155392742ce
hex320936ba0

13431434144 has 12 divisors (see below), whose sum is σ = 26443136034. Its totient is φ = 6715717056.

The previous prime is 13431434143. The next prime is 13431434147. The reversal of 13431434144 is 44143413431.

It can be written as a sum of positive squares in only one way, i.e., 11798304400 + 1633129744 = 108620^2 + 40412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 419732317 = 13431434144 / (1 + 3 + 4 + 3 + 1 + 4 + 3 + 4 + 1 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 13431434144.

It is not an unprimeable number, because it can be changed into a prime (13431434143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209866127 + ... + 209866190.

Almost surely, 213431434144 is an apocalyptic number.

It is an amenable number.

13431434144 is a deficient number, since it is larger than the sum of its proper divisors (13011701890).

13431434144 is an equidigital number, since it uses as much as digits as its factorization.

13431434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419732327 (or 419732319 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 13431434144 its reverse (44143413431), we get a palindrome (57574847575).

The spelling of 13431434144 in words is "thirteen billion, four hundred thirty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 419732317 839464634 1678929268 3357858536 6715717072 13431434144