Search a number
-
+
3414104244297 = 321284772952629
BaseRepresentation
bin110001101011101000011…
…110001000000001001001
3110002101101210110111022100
4301223220132020001021
5421414041141304142
611132230130344013
7501442454153625
oct61535036100111
913071353414270
103414104244297
1110a6a0592761a
1247181472b009
131b9c44248716
14bb35a34a185
155dc1e4b2b4c
hex31ae8788049

3414104244297 has 12 divisors (see below), whose sum is σ = 4931523962820. Its totient is φ = 2276051009568.

The previous prime is 3414104244277. The next prime is 3414104244323. The reversal of 3414104244297 is 7924424014143.

3414104244297 is a `hidden beast` number, since 3 + 4 + 14 + 104 + 2 + 442 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1063711700496 + 2350392543801 = 1031364^2 + 1533099^2 .

It is not a de Polignac number, because 3414104244297 - 26 = 3414104244233 is a prime.

It is a super-2 number, since 2×34141042442972 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3414104244277) by changing a digit.

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, 320022 + ... + 2632607.

It is an arithmetic number, because the mean of its divisors is an integer number (410960330235).

Almost surely, 23414104244297 is an apocalyptic number.

It is an amenable number.

3414104244297 is a deficient number, since it is larger than the sum of its proper divisors (1517419718523).

3414104244297 is a wasteful number, since it uses less digits than its factorization.

3414104244297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081112 (or 3081109 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3414104244297 in words is "three trillion, four hundred fourteen billion, one hundred four million, two hundred forty-four thousand, two hundred ninety-seven".

Divisors: 1 3 9 128477 385431 1156293 2952629 8857887 26573661 379344916033 1138034748099 3414104244297