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443243101342344 = 233195257918486931
BaseRepresentation
bin110010011001000001001001…
…1100110101100101010001000
32011010101121220211112010210120
41210302002103212230222020
5431044043332420423334
64210411023020143240
7162235154152406412
oct14462022346545210
92133347824463716
10443243101342344
1111925a386425026
1241867595997b20
13160428503c1b34
147b6511b1319b2
153639b8490b949
hex19320939aca88

443243101342344 has 64 divisors (see below), whose sum is σ = 1166451461472000. Its totient is φ = 139968835997760.

The previous prime is 443243101342337. The next prime is 443243101342367.

443243101342344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443243101342296 and 443243101342305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14732559 + ... + 33219489.

It is an arithmetic number, because the mean of its divisors is an integer number (18225804085500).

Almost surely, 2443243101342344 is an apocalyptic number.

It is an amenable number.

443243101342344 is an abundant number, since it is smaller than the sum of its proper divisors (723208360129656).

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

443243101342344 is a wasteful number, since it uses less digits than its factorization.

443243101342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539538 (or 18539534 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 44324310 and 1342344, that added together give a palindrome (45666654).

The spelling of 443243101342344 in words is "four hundred forty-three trillion, two hundred forty-three billion, one hundred one million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 52579 105158 157737 210316 315474 420632 630948 999001 1261896 1998002 2997003 3996004 5994006 7992008 11988012 18486931 23976024 36973862 55460793 73947724 110921586 147895448 221843172 351251689 443686344 702503378 1053755067 1405006756 2107510134 2810013512 4215020268 8430040536 972024345049 1944048690098 2916073035147 3888097380196 5832146070294 7776194760392 11664292140588 18468462555931 23328584281176 36936925111862 55405387667793 73873850223724 110810775335586 147747700447448 221621550671172 443243101342344