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446129149041 = 322226432
BaseRepresentation
bin1100111110111110101…
…11101001010001110001
31120122112111200221100100
412133133113221101301
524302133030232131
6540540543543013
744142332125002
oct6373727512161
91518474627310
10446129149041
11162225301874
12725678baa69
13330ba4679c4
141784279b1a9
15b9115297e6
hex67df5e9471

446129149041 has 9 divisors (see below), whose sum is σ = 644411665209. Its totient is φ = 297418096836.

The previous prime is 446129149021. The next prime is 446129149049. The reversal of 446129149041 is 140941921644.

The square root of 446129149041 is 667929.

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

446129149041 is a `hidden beast` number, since 4 + 461 + 2 + 9 + 149 + 0 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 446129149041 - 25 = 446129149009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (446129149049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1892466 + ... + 2115108.

Almost surely, 2446129149041 is an apocalyptic number.

446129149041 is the 667929-th square number.

446129149041 is the 333965-th centered octagonal number.

It is an amenable number.

446129149041 is a deficient number, since it is larger than the sum of its proper divisors (198282516168).

446129149041 is an frugal number, since it uses more digits than its factorization.

446129149041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445292 (or 222646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 446129149041 in words is "four hundred forty-six billion, one hundred twenty-nine million, one hundred forty-nine thousand, forty-one".

Divisors: 1 3 9 222643 667929 2003787 49569905449 148709716347 446129149041