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12340324432340 = 22541137109848001
BaseRepresentation
bin1011001110010011010010…
…1001110111100111010100
31121200201112102112112112122
42303210310221313213110
53104140441023313330
642125022231435112
72412362512654502
oct263446451674724
947621472475478
1012340324432340
113a28558480a43
121473779825a98
136b68c2874538
143093bc421672
151660007ee5e5
hexb3934a779d4

12340324432340 has 48 divisors (see below), whose sum is σ = 26740518822864. Its totient is φ = 4780584960000.

The previous prime is 12340324432339. The next prime is 12340324432369. The reversal of 12340324432340 is 4323442304321.

It can be written as a sum of positive squares in 8 ways, for example, as 10127604496 + 12330196827844 = 100636^2 + 3511438^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12340324432340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54811661 + ... + 55036340.

It is an arithmetic number, because the mean of its divisors is an integer number (557094142143).

Almost surely, 212340324432340 is an apocalyptic number.

12340324432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340324432340 is an abundant number, since it is smaller than the sum of its proper divisors (14400194390524).

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

12340324432340 is a wasteful number, since it uses less digits than its factorization.

12340324432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109848188 (or 109848186 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 12340324432340 its reverse (4323442304321), we get a palindrome (16663766736661).

The spelling of 12340324432340 in words is "twelve trillion, three hundred forty billion, three hundred twenty-four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 137 164 205 274 410 548 685 820 1370 2740 5617 11234 22468 28085 56170 112340 109848001 219696002 439392004 549240005 1098480010 2196960020 4503768041 9007536082 15049176137 18015072164 22518840205 30098352274 45037680410 60196704548 75245880685 90075360820 150491761370 300983522740 617016221617 1234032443234 2468064886468 3085081108085 6170162216170 12340324432340