Search a number
-
+
3414104244306 = 232727096065431
BaseRepresentation
bin110001101011101000011…
…110001000000001010010
3110002101101210110111022200
4301223220132020001102
5421414041141304211
611132230130344030
7501442454153640
oct61535036100122
913071353414280
103414104244306
1110a6a05927628
1247181472b016
131b9c44248722
14bb35a34a190
155dc1e4b2b56
hex31ae8788052

3414104244306 has 24 divisors (see below), whose sum is σ = 8453972414784. Its totient is φ = 975458355480.

The previous prime is 3414104244277. The next prime is 3414104244323. The reversal of 3414104244306 is 6034424014143.

3414104244306 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 104 + 244 + 306 = 666.

It is a super-2 number, since 2×34141042443062 (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13548032590 + ... + 13548032841.

It is an arithmetic number, because the mean of its divisors is an integer number (352248850616).

Almost surely, 23414104244306 is an apocalyptic number.

3414104244306 is an abundant number, since it is smaller than the sum of its proper divisors (5039868170478).

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

3414104244306 is a wasteful number, since it uses less digits than its factorization.

3414104244306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27096065446 (or 27096065443 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3414104244306 its reverse (6034424014143), we get a palindrome (9448528258449).

The spelling of 3414104244306 in words is "three trillion, four hundred fourteen billion, one hundred four million, two hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 27096065431 54192130862 81288196293 162576392586 189672458017 243864588879 379344916034 487729177758 569017374051 1138034748102 1707052122153 3414104244306