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3420104244312 = 233725779213087
BaseRepresentation
bin110001110001001110000…
…110010011110001011000
3110002221212221112002000010
4301301032012103301120
5422013333141304222
611135101343241520
7502044241262220
oct61611606236130
913087787462003
103420104244312
1110a9504758418
12472a09ba92a0
131ba68c3144a2
14bb769159080
155de710ea80c
hex31c4e193c58

3420104244312 has 64 divisors (see below), whose sum is σ = 9809748817920. Its totient is φ = 973370400768.

The previous prime is 3420104244307. The next prime is 3420104244313. The reversal of 3420104244312 is 2134424010243.

It is a super-2 number, since 2×34201042443122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3420104244312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420104244313) 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 15 ways as a sum of consecutive naturals, for example, 39563368 + ... + 39649719.

It is an arithmetic number, because the mean of its divisors is an integer number (153277325280).

Almost surely, 23420104244312 is an apocalyptic number.

It is an amenable number.

3420104244312 is an abundant number, since it is smaller than the sum of its proper divisors (6389644573608).

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

3420104244312 is a wasteful number, since it uses less digits than its factorization.

3420104244312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79213360 (or 79213356 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3420104244312 its reverse (2134424010243), we get a palindrome (5554528254555).

The spelling of 3420104244312 in words is "three trillion, four hundred twenty billion, one hundred four million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 771 1028 1542 1799 2056 3084 3598 5397 6168 7196 10794 14392 21588 43176 79213087 158426174 237639261 316852348 475278522 554491609 633704696 950557044 1108983218 1663474827 1901114088 2217966436 3326949654 4435932872 6653899308 13307798616 20357763359 40715526718 61073290077 81431053436 122146580154 142504343513 162862106872 244293160308 285008687026 427513030539 488586320616 570017374052 855026061078 1140034748104 1710052122156 3420104244312