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444351140 = 22522217557
BaseRepresentation
bin11010011111000…
…100001010100100
31010222010101011122
4122133010022210
51402223214030
6112031553112
714003631242
oct3237041244
91128111148
10444351140
11208908652
1210498b798
137109c78c
144302b792
15290248e5
hex1a7c42a4

444351140 has 12 divisors (see below), whose sum is σ = 933137436. Its totient is φ = 177740448.

The previous prime is 444351133. The next prime is 444351163. The reversal of 444351140 is 41153444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 180418624 + 263932516 = 13432^2 + 16246^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11108759 + ... + 11108798.

It is an arithmetic number, because the mean of its divisors is an integer number (77761453).

Almost surely, 2444351140 is an apocalyptic number.

It is an amenable number.

444351140 is an abundant number, since it is smaller than the sum of its proper divisors (488786296).

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

444351140 is a wasteful number, since it uses less digits than its factorization.

444351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22217566 (or 22217564 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 444351140 is about 21079.6380424333. The cubic root of 444351140 is about 763.0894211681.

The spelling of 444351140 in words is "four hundred forty-four million, three hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 22217557 44435114 88870228 111087785 222175570 444351140