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3420414164436 = 2234337917489999
BaseRepresentation
bin110001110001100000100…
…100100011110111010100
3110002222200112200122111020
4301301200210203313110
5422020002011230221
611135152214041140
7502055023456353
oct61614044436724
913088615618436
103420414164436
1110a9653697a55
12472a959491b0
131ba70b5a6689
14bb79839199a
155de8d418ac6
hex31c60923dd4

3420414164436 has 48 divisors (see below), whose sum is σ = 8188118400000. Its totient is φ = 1110684832992.

The previous prime is 3420414164407. The next prime is 3420414164449. The reversal of 3420414164436 is 6344614140243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8549436 + ... + 8940563.

It is an arithmetic number, because the mean of its divisors is an integer number (170585800000).

Almost surely, 23420414164436 is an apocalyptic number.

It is an amenable number.

3420414164436 is an abundant number, since it is smaller than the sum of its proper divisors (4767704235564).

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

3420414164436 is a wasteful number, since it uses less digits than its factorization.

3420414164436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490428 (or 17490426 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 3420414164436 in words is "three trillion, four hundred twenty billion, four hundred fourteen million, one hundred sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 379 516 758 1137 1516 2274 4548 16297 32594 48891 65188 97782 195564 17489999 34979998 52469997 69959996 104939994 209879988 752069957 1504139914 2256209871 3008279828 4512419742 6628709621 9024839484 13257419242 19886128863 26514838484 39772257726 79544515452 285034513703 570069027406 855103541109 1140138054812 1710207082218 3420414164436