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135324142124441 = 2929571578068897
BaseRepresentation
bin11110110001001110011011…
…011010111011110110011001
3122202010212021010201102201012
4132301032123122323312121
5120214122320340440231
61155451015213103305
740334563252105604
oct3661163332736631
9582125233642635
10135324142124441
113a133712377446
1213216885487b35
135a6802004668a
14255ba1b11b33b
15109a158b90e2b
hex7b139b6bbd99

135324142124441 has 8 divisors (see below), whose sum is σ = 140037834008520. Its totient is φ = 130613606384128.

The previous prime is 135324142124323. The next prime is 135324142124453. The reversal of 135324142124441 is 144421241423531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8463566826841 + 126860575297600 = 2909221^2 + 11263240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135324142124441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135324142124141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788948696 + ... + 789120201.

It is an arithmetic number, because the mean of its divisors is an integer number (17504729251065).

Almost surely, 2135324142124441 is an apocalyptic number.

It is an amenable number.

135324142124441 is a deficient number, since it is larger than the sum of its proper divisors (4713691884079).

135324142124441 is a wasteful number, since it uses less digits than its factorization.

135324142124441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578071883.

The product of its digits is 368640, while the sum is 41.

Adding to 135324142124441 its reverse (144421241423531), we get a palindrome (279745383547972).

The spelling of 135324142124441 in words is "one hundred thirty-five trillion, three hundred twenty-four billion, one hundred forty-two million, one hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 29 2957 85753 1578068897 45763998013 4666349728429 135324142124441