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442014004 = 221071935351
BaseRepresentation
bin11010010110001…
…001100100110100
31010210201122020001
4122112021210310
51401123422004
6111505521044
713645025365
oct3226114464
91123648201
10442014004
11207561733
12104043184
1370761a63
14429bdb6c
1528c121a4
hex1a589934

442014004 has 24 divisors (see below), whose sum is σ = 784945728. Its totient is φ = 217766400.

The previous prime is 442013987. The next prime is 442014019. The reversal of 442014004 is 400410244.

It is a super-2 number, since 2×4420140042 = 390752759464224032, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 79929 + ... + 85279.

It is an arithmetic number, because the mean of its divisors is an integer number (32706072).

Almost surely, 2442014004 is an apocalyptic number.

It is an amenable number.

442014004 is a deficient number, since it is larger than the sum of its proper divisors (342931724).

442014004 is a wasteful number, since it uses less digits than its factorization.

442014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442014004 is about 21024.1290901669. The cubic root of 442014004 is about 761.7492050382.

Adding to 442014004 its reverse (400410244), we get a palindrome (842424248).

It can be divided in two parts, 44201 and 4004, that added together give a triangular number (48205 = T310).

The spelling of 442014004 in words is "four hundred forty-two million, fourteen thousand, four".

Divisors: 1 2 4 107 193 214 386 428 772 5351 10702 20651 21404 41302 82604 572557 1032743 1145114 2065486 2290228 4130972 110503501 221007002 442014004