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443342340000234 = 232237778910358417
BaseRepresentation
bin110010011001101111010111…
…0101100001000100111101010
32011010202010001221120022000100
41210303132232230020213222
5431102210103020001414
64210524354225050230
7162245266323156543
oct14463365654104752
92133663057508010
10443342340000234
11119298481023574
1241882870786976
131604c00726538c
147b69c5300b4ca
15363c541da8609
hex19337aeb089ea

443342340000234 has 24 divisors (see below), whose sum is σ = 960575566712580. Its totient is φ = 147780703582848.

The previous prime is 443342340000181. The next prime is 443342340000239. The reversal of 443342340000234 is 432000043243344.

443342340000234 is a `hidden beast` number, since 4 + 43 + 3 + 42 + 340 + 0 + 0 + 0 + 234 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293853203769609 + 149489136230625 = 17142147^2 + 12226575^2 .

It is not an unprimeable number, because it can be changed into a prime (443342340000239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37620994 + ... + 47979410.

Almost surely, 2443342340000234 is an apocalyptic number.

443342340000234 is an abundant number, since it is smaller than the sum of its proper divisors (517233226712346).

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

443342340000234 is a wasteful number, since it uses less digits than its factorization.

443342340000234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736214 (or 12736211 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 443342340000234 its reverse (432000043243344), we get a palindrome (875342383243578).

The spelling of 443342340000234 in words is "four hundred forty-three trillion, three hundred forty-two billion, three hundred forty million, two hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 2377789 4755578 7133367 10358417 14266734 20716834 21400101 31075251 42800202 62150502 93225753 186451506 24630130000013 49260260000026 73890390000039 147780780000078 221671170000117 443342340000234