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441020144 = 2458746957
BaseRepresentation
bin11010010010010…
…110111011110000
31010201212010220102
4122102112323300
51400400121034
6111432331532
713633416005
oct3222267360
91121763812
10441020144
11206a42a64
12103843ba8
13704a4586
14428018ac
1528ab797e
hex1a496ef0

441020144 has 20 divisors (see below), whose sum is σ = 855950424. Its totient is φ = 220129728.

The previous prime is 441020123. The next prime is 441020159.

It is a happy number.

441020144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4410201443 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 14087 + ... + 32870.

Almost surely, 2441020144 is an apocalyptic number.

It is an amenable number.

441020144 is a deficient number, since it is larger than the sum of its proper divisors (414930280).

441020144 is a wasteful number, since it uses less digits than its factorization.

441020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47552 (or 47546 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 441020144 is about 21000.4796135707. The cubic root of 441020144 is about 761.1778504442.

The spelling of 441020144 in words is "four hundred forty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 587 1174 2348 4696 9392 46957 93914 187828 375656 751312 27563759 55127518 110255036 220510072 441020144