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444628314 = 232131900121
BaseRepresentation
bin11010100000000…
…111110101011010
31010222122110101100
4122200013311122
51402311101224
6112041532230
714006164314
oct3240076532
91128573340
10444628314
11208a87919
12104aa4076
13711689a0
14430a07b4
152907bac9
hex1a807d5a

444628314 has 24 divisors (see below), whose sum is σ = 1037466612. Its totient is φ = 136808640.

The previous prime is 444628229. The next prime is 444628333. The reversal of 444628314 is 413826444.

It can be written as a sum of positive squares in 2 ways, for example, as 344288025 + 100340289 = 18555^2 + 10017^2 .

It is a super-2 number, since 2×4446283142 = 395388675220965192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949827 + ... + 950294.

Almost surely, 2444628314 is an apocalyptic number.

444628314 is an abundant number, since it is smaller than the sum of its proper divisors (592838298).

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

444628314 is a wasteful number, since it uses less digits than its factorization.

444628314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900142 (or 1900139 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 444628314 is about 21086.2114662639. The cubic root of 444628314 is about 763.2480529090.

The spelling of 444628314 in words is "four hundred forty-four million, six hundred twenty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1900121 3800242 5700363 11400726 17101089 24701573 34202178 49403146 74104719 148209438 222314157 444628314