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134342041729 = 72523612
BaseRepresentation
bin111110100011101101…
…0001110000010000001
3110211202112020211010011
41331013122032002001
54200113030313404
6141414344104521
712464056341100
oct1750732160201
9424675224104
10134342041729
1151a79642375
1222052a65141
13c88c623cac
146706018037
15376414e604
hex1f4768e081

134342041729 has 9 divisors (see below), whose sum is σ = 156278420931. Its totient is φ = 115148122320.

The previous prime is 134342041721. The next prime is 134342041759. The reversal of 134342041729 is 927140243431.

The square root of 134342041729 is 366527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8487384129 + 125854657600 = 92127^2 + 354760^2 .

It is not a de Polignac number, because 134342041729 - 23 = 134342041721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134342041691 and 134342041700.

It is not an unprimeable number, because it can be changed into a prime (134342041721) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2539509 + ... + 2591869.

Almost surely, 2134342041729 is an apocalyptic number.

134342041729 is the 366527-th square number.

134342041729 is the 183264-th centered octagonal number.

It is an amenable number.

134342041729 is a deficient number, since it is larger than the sum of its proper divisors (21936379202).

134342041729 is an frugal number, since it uses more digits than its factorization.

134342041729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104736 (or 52368 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 134342041729 in words is "one hundred thirty-four billion, three hundred forty-two million, forty-one thousand, seven hundred twenty-nine".

Divisors: 1 7 49 52361 366527 2565689 2741674321 19191720247 134342041729