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3434312131300 = 2252315320902691
BaseRepresentation
bin110001111110011100111…
…101000110001011100100
3110011022120010011111220201
4301332130331012023210
5422231432401200200
611145411243440244
7503056312314241
oct61763475061344
913138503144821
103434312131300
111104535736186
12475714226084
131bbb14a0c4cb
14bc3160a85c8
155e5035e4c6a
hex31f9cf462e4

3434312131300 has 72 divisors (see below), whose sum is σ = 7838007835392. Its totient is φ = 1304327856000.

The previous prime is 3434312131291. The next prime is 3434312131301. The reversal of 3434312131300 is 31312134343.

It is not an unprimeable number, because it can be changed into a prime (3434312131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10287046 + ... + 10615645.

It is an arithmetic number, because the mean of its divisors is an integer number (108861219936).

Almost surely, 23434312131300 is an apocalyptic number.

It is an amenable number.

3434312131300 is an abundant number, since it is smaller than the sum of its proper divisors (4403695704092).

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

3434312131300 is a wasteful number, since it uses less digits than its factorization.

3434312131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902789 (or 20902782 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 3434312131300 its reverse (31312134343), we get a palindrome (3465624265643).

The spelling of 3434312131300 in words is "three trillion, four hundred thirty-four billion, three hundred twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 5300 6572 8215 16430 32860 41075 82150 164300 20902691 41805382 83610764 104513455 209026910 418053820 522567275 647983421 1045134550 1107842623 1295966842 2090269100 2215685246 2591933684 3239917105 4431370492 5539213115 6479834210 11078426230 12959668420 16199585525 22156852460 27696065575 32399171050 34343121313 55392131150 64798342100 68686242626 110784262300 137372485252 171715606565 343431213130 686862426260 858578032825 1717156065650 3434312131300