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4004003444 = 227220428589
BaseRepresentation
bin1110111010101000…
…0011111001110100
3101100001020110010212
43232222003321310
531200011102234
61501151404552
7201136316300
oct35652037164
911301213125
104004003444
111775179061
12938b23758
134ba6c3a0c
1429dab6d00
151867b65ce
hexeea83e74

4004003444 has 18 divisors (see below), whose sum is σ = 8151007410. Its totient is φ = 1716001392.

The previous prime is 4004003417. The next prime is 4004003453. The reversal of 4004003444 is 4443004004.

It can be written as a sum of positive squares in only one way, i.e., 3867347344 + 136656100 = 62188^2 + 11690^2 .

It is a super-2 number, since 2×40040034442 = 32064087159127722272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10214099 + ... + 10214490.

It is an arithmetic number, because the mean of its divisors is an integer number (452833745).

Almost surely, 24004003444 is an apocalyptic number.

It is an amenable number.

4004003444 is an abundant number, since it is smaller than the sum of its proper divisors (4147003966).

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

4004003444 is a wasteful number, since it uses less digits than its factorization.

4004003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428607 (or 20428598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4004003444 is about 63277.1952918269. The cubic root of 4004003444 is about 1587.9304646527.

Adding to 4004003444 its reverse (4443004004), we get a palindrome (8447007448).

The spelling of 4004003444 in words is "four billion, four million, three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 20428589 40857178 81714356 143000123 286000246 572000492 1001000861 2002001722 4004003444