Search a number
-
+
3420411301112 = 2313199252165557
BaseRepresentation
bin110001110001100000011…
…001101000110011111000
3110002222200100022011202012
4301301200121220303320
5422020000243113422
611135152032425052
7502054660232441
oct61614031506370
913088610264665
103420411301112
1110a9652011773
12472a949a8188
131ba70ab132c0
14bb797c482c8
155de8d0504e2
hex31c60668cf8

3420411301112 has 64 divisors (see below), whose sum is σ = 6944165592000. Its totient is φ = 1570071444480.

The previous prime is 3420411301093. The next prime is 3420411301199. The reversal of 3420411301112 is 2111031140243.

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, 52141838 + ... + 52207394.

It is an arithmetic number, because the mean of its divisors is an integer number (108502587375).

Almost surely, 23420411301112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420411301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472082796000).

3420411301112 is an abundant number, since it is smaller than the sum of its proper divisors (3523754290888).

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

3420411301112 is a wasteful number, since it uses less digits than its factorization.

3420411301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68296 (or 68292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 3420411301112 its reverse (2111031140243), we get a palindrome (5531442441355).

The spelling of 3420411301112 in words is "three trillion, four hundred twenty billion, four hundred eleven million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1592 2521 2587 5042 5174 10084 10348 20168 20696 32773 65546 65557 131092 131114 262184 262228 501679 524456 852241 1003358 1704482 2006716 3408964 4013432 6521827 6817928 13043654 13045843 26087308 26091686 52174616 52183372 104366744 165269197 169595959 330538394 339191918 661076788 678383836 1322153576 1356767672 2148499561 4296999122 8593998244 17187996488 32888570203 65777140406 131554280812 263108561624 427551412639 855102825278 1710205650556 3420411301112