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14113434204431 = 198322369400087
BaseRepresentation
bin1100110101100000101000…
…1110110111100100001111
31211222020020111101120222022
43031120022032313210033
53322213303124020211
650003342215440355
72654443025234612
oct315301216674417
954866214346868
1014113434204431
114551523743381
1216bb3406860bb
137b4b77a91583
1436b1457a4179
151971c9757bdb
hexcd60a3b790f

14113434204431 has 16 divisors (see below), whose sum is σ = 15035947180800. Its totient is φ = 13208906504448.

The previous prime is 14113434204413. The next prime is 14113434204479. The reversal of 14113434204431 is 13440243431141.

It is a cyclic number.

It is not a de Polignac number, because 14113434204431 - 238 = 13838556297487 is a prime.

It is a super-2 number, since 2×141134342044312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14113434204391 and 14113434204400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113434204481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35075870 + ... + 35475956.

It is an arithmetic number, because the mean of its divisors is an integer number (939746698800).

Almost surely, 214113434204431 is an apocalyptic number.

14113434204431 is a deficient number, since it is larger than the sum of its proper divisors (922512976369).

14113434204431 is a wasteful number, since it uses less digits than its factorization.

14113434204431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422558.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 14113434204431 its reverse (13440243431141), we get a palindrome (27553677635572).

The spelling of 14113434204431 in words is "fourteen trillion, one hundred thirteen billion, four hundred thirty-four million, two hundred four thousand, four hundred thirty-one".

Divisors: 1 19 83 1577 22369 400087 425011 1856627 7601653 33207221 35275913 630937199 8949546103 170041375957 742812326549 14113434204431