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441444144 = 2439196753
BaseRepresentation
bin11010010011111…
…110011100110000
31010202122200112010
4122103332130300
51401002203034
6111445402520
713640133111
oct3223763460
91122580463
10441444144
11207202579
12103a09440
13705c256b
14428b2208
1528b4d3e9
hex1a4fe730

441444144 has 20 divisors (see below), whose sum is σ = 1140397496. Its totient is φ = 147148032.

The previous prime is 441444139. The next prime is 441444161.

441444144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4598329 + ... + 4598424.

Almost surely, 2441444144 is an apocalyptic number.

It is an amenable number.

441444144 is an abundant number, since it is smaller than the sum of its proper divisors (698953352).

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

441444144 is a wasteful number, since it uses less digits than its factorization.

441444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196764 (or 9196758 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 441444144 is about 21010.5721959208. The cubic root of 441444144 is about 761.4217063014.

The spelling of 441444144 in words is "four hundred forty-one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 9196753 18393506 27590259 36787012 55180518 73574024 110361036 147148048 220722072 441444144