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42254245224 = 2332586864517
BaseRepresentation
bin100111010110100011…
…001001110101101000
311001001202211001121100
4213112203021311220
51143014041321344
631224503041400
73024046105212
oct472643116550
9131052731540
1042254245224
1116a13468924
128232a40260
133ca50c7689
14208bb295b2
15117486b569
hex9d68c9d68

42254245224 has 24 divisors (see below), whose sum is σ = 114438581010. Its totient is φ = 14084748384.

The previous prime is 42254245193. The next prime is 42254245247.

42254245224 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 424 + 5 + 224 = 666.

42254245224 is nontrivially palindromic in base 10.

42254245224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40998960324 + 1255284900 = 202482^2 + 35430^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293432187 + ... + 293432330.

Almost surely, 242254245224 is an apocalyptic number.

It is an amenable number.

42254245224 is an abundant number, since it is smaller than the sum of its proper divisors (72184335786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42254245224 is a wasteful number, since it uses less digits than its factorization.

42254245224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586864529 (or 586864522 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

The spelling of 42254245224 in words is "forty-two billion, two hundred fifty-four million, two hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 586864517 1173729034 1760593551 2347458068 3521187102 4694916136 5281780653 7042374204 10563561306 14084748408 21127122612 42254245224