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443412464214344 = 23235197746363783
BaseRepresentation
bin110010011010010000000001…
…0011010110010000101001000
32011010222211002000122110121112
41210310200002122302011020
5431104332211314324334
64211020512434225452
7162253331136151502
oct14464400232620510
92133884060573545
10443412464214344
11119315196345529
1241894381125288
1316055801350ab1
147b6d3c6318d72
15363e2983534ce
hex19348026b2148

443412464214344 has 32 divisors (see below), whose sum is σ = 867562835310720. Its totient is φ = 212062746124416.

The previous prime is 443412464214277. The next prime is 443412464214527.

It is a happy number.

443412464214344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4434124642143442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443412464214292 and 443412464214301.

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 7 ways as a sum of consecutive naturals, for example, 13618124 + ... + 32745659.

It is an arithmetic number, because the mean of its divisors is an integer number (27111338603460).

Almost surely, 2443412464214344 is an apocalyptic number.

It is an amenable number.

443412464214344 is a deficient number, since it is larger than the sum of its proper divisors (424150371096376).

443412464214344 is a wasteful number, since it uses less digits than its factorization.

443412464214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46415789 (or 46415785 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 50.

The spelling of 443412464214344 in words is "four hundred forty-three trillion, four hundred twelve billion, four hundred sixty-four million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 23 46 92 184 51977 103954 207908 415816 1195471 2390942 4781884 9563768 46363783 92727566 185455132 370910264 1066367009 2132734018 4265468036 8530936072 2409850348991 4819700697982 9639401395964 19278802791928 55426558026793 110853116053586 221706232107172 443412464214344