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444142404 = 2232196191049
BaseRepresentation
bin11010011110010…
…001001101000100
31010221201202211200
4122132101031010
51402200024104
6112023302500
714002101546
oct3236211504
91127652750
10444142404
11208785842
121048aaa30
1371028774
1442db5696
1528ed2b39
hex1a791344

444142404 has 72 divisors (see below), whose sum is σ = 1184820000. Its totient is φ = 139895424.

The previous prime is 444142393. The next prime is 444142421. The reversal of 444142404 is 404241444.

444142404 is a `hidden beast` number, since 4 + 4 + 414 + 240 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 422872 + ... + 423920.

Almost surely, 2444142404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592410000).

444142404 is an abundant number, since it is smaller than the sum of its proper divisors (740677596).

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

444142404 is a wasteful number, since it uses less digits than its factorization.

444142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 444142404 is about 21074.6863321853. The cubic root of 444142404 is about 762.9699141934.

Adding to 444142404 its reverse (404241444), we get a palindrome (848383848).

The spelling of 444142404 in words is "four hundred forty-four million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 619 684 1049 1238 1857 2098 2476 3147 3714 4196 5571 6294 7428 9441 11142 11761 12588 18882 19931 22284 23522 35283 37764 39862 47044 59793 70566 79724 105849 119586 141132 179379 211698 239172 358758 423396 649331 717516 1298662 1947993 2597324 3895986 5843979 7791972 11687958 12337289 23375916 24674578 37011867 49349156 74023734 111035601 148047468 222071202 444142404