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13344202412712 = 2332709512612171
BaseRepresentation
bin1100001000101111000001…
…1100011101001010101000
31202020200201102001210000100
43002023300130131022220
53222112411304201322
644214124132505400
72545041530004663
oct302136034351250
952220642053010
1013344202412712
114285276419996
1215b624247b260
1375a4783ab502
14341c118d86da
151821a7736dac
hexc22f071d2a8

13344202412712 has 48 divisors (see below), whose sum is σ = 36141071410080. Its totient is φ = 4448003076000.

The previous prime is 13344202412699. The next prime is 13344202412713. The reversal of 13344202412712 is 21721420244331.

13344202412712 is a `hidden beast` number, since 1 + 3 + 34 + 4 + 202 + 412 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13344202412713) 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 11 ways as a sum of consecutive naturals, for example, 3802387 + ... + 6414557.

It is an arithmetic number, because the mean of its divisors is an integer number (752938987710).

Almost surely, 213344202412712 is an apocalyptic number.

13344202412712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13344202412712 is an abundant number, since it is smaller than the sum of its proper divisors (22796868997368).

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

13344202412712 is a wasteful number, since it uses less digits than its factorization.

13344202412712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683134 (or 2683127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13344202412712 in words is "thirteen trillion, three hundred forty-four billion, two hundred two million, four hundred twelve thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 70951 141902 212853 283804 425706 567608 638559 851412 1277118 1702824 2554236 2612171 5108472 5224342 7836513 10448684 15673026 20897368 23509539 31346052 47019078 62692104 94038156 188076312 185336144621 370672289242 556008433863 741344578484 1112016867726 1482689156968 1668025301589 2224033735452 3336050603178 4448067470904 6672101206356 13344202412712