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443202343202344 = 231122402319058971
BaseRepresentation
bin110010011000101110001011…
…0001110101110111000101000
32011010020201201022220002201211
41210301130112032232320220
5431042411344324433334
64210340202355522504
7162232212141055045
oct14461342616567050
92133221638802654
10443202343202344
11119244070527200
124185b6bbbb9434
131603ba56254a2b
147b63171db41cc
153638a9b5baa64
hex19317163aee28

443202343202344 has 48 divisors (see below), whose sum is σ = 913456122939360. Its totient is φ = 201447214029600.

The previous prime is 443202343202263. The next prime is 443202343202357.

443202343202344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443202343202297 and 443202343202306.

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, 13724779 + ... + 32783749.

It is an arithmetic number, because the mean of its divisors is an integer number (19030335894570).

Almost surely, 2443202343202344 is an apocalyptic number.

443202343202344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443202343202344 is an abundant number, since it is smaller than the sum of its proper divisors (470253779737016).

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

443202343202344 is a wasteful number, since it uses less digits than its factorization.

443202343202344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19083022 (or 19083007 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

The spelling of 443202343202344 in words is "four hundred forty-three trillion, two hundred two billion, three hundred forty-three million, two hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 24023 48046 96092 192184 264253 528506 1057012 2114024 2906783 5813566 11627132 19058971 23254264 38117942 76235884 152471768 209648681 419297362 838594724 1677189448 2306135491 4612270982 9224541964 18449083928 457853660333 915707320666 1831414641332 3662829282664 5036390263663 10072780527326 20145561054652 40291122109304 55400292900293 110800585800586 221601171601172 443202343202344