Search a number
-
+
434212314039 = 3373762092423
BaseRepresentation
bin1100101000110010001…
…00100001101110110111
31112111210000001222221000
412110121010201232313
524103231323022124
6531250244454343
743241120525550
oct6243104415667
91474700058830
10434212314039
1115816a5932a9
12701a09aa3b3
1331c3b60104a
1417031c2b327
15b4652356c9
hex6519121bb7

434212314039 has 32 divisors (see below), whose sum is σ = 755043875840. Its totient is φ = 241415336736.

The previous prime is 434212313993. The next prime is 434212314047. The reversal of 434212314039 is 930413212434.

434212314039 is a `hidden beast` number, since 4 + 3 + 4 + 212 + 31 + 403 + 9 = 666.

It is not a de Polignac number, because 434212314039 - 28 = 434212313783 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434212313994 and 434212314012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434212314139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31039219 + ... + 31053204.

It is an arithmetic number, because the mean of its divisors is an integer number (23595121120).

Almost surely, 2434212314039 is an apocalyptic number.

434212314039 is a deficient number, since it is larger than the sum of its proper divisors (320831561801).

434212314039 is a wasteful number, since it uses less digits than its factorization.

434212314039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62092476 (or 62092470 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 434212314039 in words is "four hundred thirty-four billion, two hundred twelve million, three hundred fourteen thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 62092423 186277269 434646961 558831807 1303940883 1676495421 2297419651 3911822649 6892258953 11735467947 16081937557 20676776859 48245812671 62030330577 144737438013 434212314039