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2443112113442 = 2711213110939611
BaseRepresentation
bin100011100011010100110…
…101000110010100100010
322122120002200110111112012
4203203110311012110202
5310011443200112232
65110203351232522
7341336411215640
oct43432465062442
98576080414465
102443112113442
11862133107100
123355a9378742
131494cc9317c0
148636668c190
154383e6ea9b2
hex238d4d46522

2443112113442 has 48 divisors (see below), whose sum is σ = 4957669381056. Its totient is φ = 878641711200.

The previous prime is 2443112113399. The next prime is 2443112113483.

2443112113442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2443112113399 and 2443112113408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55447784 + ... + 55491827.

It is an arithmetic number, because the mean of its divisors is an integer number (103284778772).

Almost surely, 22443112113442 is an apocalyptic number.

2443112113442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2443112113442 is an abundant number, since it is smaller than the sum of its proper divisors (2514557267614).

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

2443112113442 is a wasteful number, since it uses less digits than its factorization.

2443112113442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110939655 (or 110939644 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 2443112113442 in words is "two trillion, four hundred forty-three billion, one hundred twelve million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 110939611 221879222 776577277 1220335721 1442214943 1553154554 2440671442 2884429886 8542350047 10095504601 13423692931 15864364373 17084700094 20191009202 26847385862 31728728746 93965850517 111050550611 174508008103 187931701034 222101101222 349016016206 1221556056721 2443112113442