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4481441844 = 2231133950317
BaseRepresentation
bin1000010110001110…
…10110000000110100
3102120022121211111120
410023013112000310
533134222114334
62020404503540
7216024425055
oct41307260064
912508554446
104481441844
11199a725650
12a509aabb0
135655a9749
1430727872c
151b3674949
hex10b1d6034

4481441844 has 24 divisors (see below), whose sum is σ = 11407306848. Its totient is φ = 1358012640.

The previous prime is 4481441779. The next prime is 4481441849.

It is a happy number.

4481441844 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4481441796 and 4481441805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481441849) by changing a digit.

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, 16975027 + ... + 16975290.

It is an arithmetic number, because the mean of its divisors is an integer number (475304452).

Almost surely, 24481441844 is an apocalyptic number.

4481441844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4481441844 is an abundant number, since it is smaller than the sum of its proper divisors (6925865004).

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

4481441844 is a wasteful number, since it uses less digits than its factorization.

4481441844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33950335 (or 33950333 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 4481441844 is about 66943.5720887375. The cubic root of 4481441844 is about 1648.6909536470.

The spelling of 4481441844 in words is "four billion, four hundred eighty-one million, four hundred forty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 33950317 67900634 101850951 135801268 203701902 373453487 407403804 746906974 1120360461 1493813948 2240720922 4481441844