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44340210144 = 2532153959063
BaseRepresentation
bin101001010010111000…
…011110100111100000
311020110010221001112100
4221102320132213200
51211302043211034
632211500330400
73126535365456
oct512270364740
9136403831470
1044340210144
111789399017a
128715543a00
134248310149
142208ba09d6
151247a60099
hexa52e1e9e0

44340210144 has 36 divisors (see below), whose sum is σ = 126092473416. Its totient is φ = 14780069952.

The previous prime is 44340210139. The next prime is 44340210179. The reversal of 44340210144 is 44101204344.

44340210144 is a `hidden beast` number, since 4 + 434 + 0 + 210 + 14 + 4 = 666.

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

It is a super-2 number, since 2×443402101442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76979244 + ... + 76979819.

It is an arithmetic number, because the mean of its divisors is an integer number (3502568706).

Almost surely, 244340210144 is an apocalyptic number.

It is an amenable number.

44340210144 is an abundant number, since it is smaller than the sum of its proper divisors (81752263272).

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

44340210144 is a wasteful number, since it uses less digits than its factorization.

44340210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153959079 (or 153959068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44340210144 its reverse (44101204344), we get a palindrome (88441414488).

The spelling of 44340210144 in words is "forty-four billion, three hundred forty million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 153959063 307918126 461877189 615836252 923754378 1231672504 1385631567 1847508756 2463345008 2771263134 3695017512 4926690016 5542526268 7390035024 11085052536 14780070048 22170105072 44340210144