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264340420114113 = 32730533913741709
BaseRepresentation
bin111100000110101010001100…
…110101110011011011000001
31021122221200211101012211221100
4330012222030311303123001
5234121423140022122423
62334112151302245013
7106451652014560230
oct7406521465633301
91248850741184840
10264340420114113
11772551628a5302
1225792b3ba26769
13b46626b87b885
14493c204ac8b17
15208617aacb343
hexf06a8cd736c1

264340420114113 has 24 divisors (see below), whose sum is σ = 436372948065600. Its totient is φ = 151051162942944.

The previous prime is 264340420114103. The next prime is 264340420114171. The reversal of 264340420114113 is 311411024043462.

It is a happy number.

264340420114113 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 4 + 0 + 420 + 114 + 113 = 666.

264340420114113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264340420114113 - 212 = 264340420110017 is a prime.

It is a super-2 number, since 2×2643404201141132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264340420114103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12365503 + ... + 26107211.

It is an arithmetic number, because the mean of its divisors is an integer number (18182206169400).

Almost surely, 2264340420114113 is an apocalyptic number.

It is an amenable number.

264340420114113 is a deficient number, since it is larger than the sum of its proper divisors (172032527951487).

264340420114113 is a wasteful number, since it uses less digits than its factorization.

264340420114113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14047061 (or 14047058 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 264340420114113 its reverse (311411024043462), we get a palindrome (575751444157575).

The spelling of 264340420114113 in words is "two hundred sixty-four trillion, three hundred forty billion, four hundred twenty million, one hundred fourteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 305339 916017 2137373 2748051 6412119 13741709 19236357 41225127 96191963 123675381 288575889 865727667 4195879684351 12587639053053 29371157790457 37762917159159 88113473371371 264340420114113