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13233314340 = 22325103713771
BaseRepresentation
bin11000101001100010…
…00101101000100100
31021011020211000120100
430110301011220210
5204100212024330
610025043504100
7645635213241
oct142461055044
937136730510
1013233314340
115680951a24
122693988030
13132b82171c
148d77405c8
15526b8c060
hex314c45a24

13233314340 has 72 divisors (see below), whose sum is σ = 40530829248. Its totient is φ = 3494617920.

The previous prime is 13233314321. The next prime is 13233314363. The reversal of 13233314340 is 4341333231.

13233314340 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 314 + 340 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338346 + ... + 375425.

It is an arithmetic number, because the mean of its divisors is an integer number (562928184).

Almost surely, 213233314340 is an apocalyptic number.

13233314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13233314340 is an abundant number, since it is smaller than the sum of its proper divisors (27297514908).

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

13233314340 is a wasteful number, since it uses less digits than its factorization.

13233314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713889 (or 713884 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13233314340 its reverse (4341333231), we get a palindrome (17574647571).

The spelling of 13233314340 in words is "thirteen billion, two hundred thirty-three million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 713771 1427542 2141313 2855084 3568855 4282626 6423939 7137710 8565252 10706565 12847878 14275420 21413130 25695756 32119695 42826260 64239390 73518413 128478780 147036826 220555239 294073652 367592065 441110478 661665717 735184130 882220956 1102776195 1323331434 1470368260 2205552390 2646662868 3308328585 4411104780 6616657170 13233314340