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344023232420313 = 32371033102800061
BaseRepresentation
bin100111000111000110010011…
…0100100000001100111011001
31200010002022002120110112102100
41032032030212210001213121
5330042434034444422223
63215402031405554013
7132314600256052605
oct11616144644014731
91603068076415370
10344023232420313
119a686485041426
1232702010575909
13119c6336a52c74
1460d4b55960505
1529b8c78e56043
hex138e3269019d9

344023232420313 has 12 divisors (see below), whose sum is σ = 510352783230628. Its totient is φ = 223150204812960.

The previous prime is 344023232420293. The next prime is 344023232420339. The reversal of 344023232420313 is 313024232320443.

344023232420313 is a `hidden beast` number, since 3 + 4 + 40 + 232 + 32 + 42 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 275195849984784 + 68827382435529 = 16589028^2 + 8296227^2 .

It is not a de Polignac number, because 344023232420313 - 233 = 344014642485721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344023232420383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516551399698 + ... + 516551400363.

Almost surely, 2344023232420313 is an apocalyptic number.

It is an amenable number.

344023232420313 is a deficient number, since it is larger than the sum of its proper divisors (166329550810315).

344023232420313 is a wasteful number, since it uses less digits than its factorization.

344023232420313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033102800104 (or 1033102800101 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 344023232420313 its reverse (313024232320443), we get a palindrome (657047464740756).

The spelling of 344023232420313 in words is "three hundred forty-four trillion, twenty-three billion, two hundred thirty-two million, four hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 1033102800061 3099308400183 9297925200549 38224803602257 114674410806771 344023232420313