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44304002044020 = 22325246133344689
BaseRepresentation
bin10100001001011010101000…
…10011011101000001110100
312210212102101002002122022100
422010231110103131001310
521301334044010402040
6234120551053102100
712221600320561155
oct1204552423350164
9183772332078270
1044304002044020
1113131249172934
124b764b4787930
131b94b0737a984
14ad247a28392c
1551c6ae8b1b30
hex284b544dd074

44304002044020 has 36 divisors (see below), whose sum is σ = 134388806200740. Its totient is φ = 11814400545024.

The previous prime is 44304002044009. The next prime is 44304002044039. The reversal of 44304002044020 is 2044020040344.

It is a happy number.

44304002044020 is a `hidden beast` number, since 4 + 4 + 30 + 400 + 204 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15162208001424 + 29141794042596 = 3893868^2 + 5398314^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123066672165 + ... + 123066672524.

It is an arithmetic number, because the mean of its divisors is an integer number (3733022394465).

Almost surely, 244304002044020 is an apocalyptic number.

It is an amenable number.

44304002044020 is an abundant number, since it is smaller than the sum of its proper divisors (90084804156720).

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

44304002044020 is a wasteful number, since it uses less digits than its factorization.

44304002044020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246133344704 (or 246133344699 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 44304002044020 its reverse (2044020040344), we get a palindrome (46348022084364).

The spelling of 44304002044020 in words is "forty-four trillion, three hundred four billion, two million, forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 246133344689 492266689378 738400034067 984533378756 1230666723445 1476800068134 2215200102201 2461333446890 2953600136268 3692000170335 4430400204402 4922666893780 7384000340670 8860800408804 11076000511005 14768000681340 22152001022010 44304002044020