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44382444428344 = 2311724369632191
BaseRepresentation
bin10100001011101100101111…
…10101011001110000111000
312211010220211212021122021211
422011312113311121300320
521304130221233201334
6234221002525412504
712230345230051201
oct1205662765316070
9184126755248254
1044382444428344
1113161541917230
124b89746a0a134
131b9c3288998b9
14ad619c1dc5a8
1551e751254a64
hex285d97d59c38

44382444428344 has 32 divisors (see below), whose sum is σ = 90794807792640. Its totient is φ = 20171052799200.

The previous prime is 44382444428339. The next prime is 44382444428363.

44382444428344 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34178712 + ... + 35453479.

It is an arithmetic number, because the mean of its divisors is an integer number (2837337743520).

Almost surely, 244382444428344 is an apocalyptic number.

44382444428344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44382444428344 is an abundant number, since it is smaller than the sum of its proper divisors (46412363364296).

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

44382444428344 is a wasteful number, since it uses less digits than its factorization.

44382444428344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69639451 (or 69639447 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 58.

The spelling of 44382444428344 in words is "forty-four trillion, three hundred eighty-two billion, four hundred forty-four million, four hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 7243 14486 28972 57944 79673 159346 318692 637384 69632191 139264382 278528764 557057528 765954101 1531908202 3063816404 6127632808 504345959413 1008691918826 2017383837652 4034767675304 5547805553543 11095611107086 22191222214172 44382444428344