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14115355351141 = 114795012953441
BaseRepresentation
bin1100110101100111110010…
…1111011101100001100101
31211222102012101100221211011
43031121330233131201211
53322231221432214031
650004301004342221
72654541443560462
oct315317457354145
954872171327734
1014115355351141
11455231a122330
1216bb797b44971
137b50c2aba485
1436b2889b4669
1519728d2416b1
hexcd67cbdd865

14115355351141 has 16 divisors (see below), whose sum is σ = 15431313369600. Its totient is φ = 12804856729600.

The previous prime is 14115355351087. The next prime is 14115355351171.

14115355351141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14115355351141 - 211 = 14115355349093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14115355351094 and 14115355351103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115355351171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264102981 + ... + 264156421.

It is an arithmetic number, because the mean of its divisors is an integer number (964457085600).

Almost surely, 214115355351141 is an apocalyptic number.

14115355351141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14115355351141 is a deficient number, since it is larger than the sum of its proper divisors (1315958018459).

14115355351141 is a wasteful number, since it uses less digits than its factorization.

14115355351141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104060.

The product of its digits is 90000, while the sum is 40.

It can be divided in two parts, 1411535 and 5351141, that added together give a palindrome (6762676).

The spelling of 14115355351141 in words is "fourteen trillion, one hundred fifteen billion, three hundred fifty-five million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 11 479 5269 50129 53441 551419 587851 24011791 25598239 264129701 281580629 2678943889 29468382779 1283214122831 14115355351141