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14364511546341 = 3113711764546721
BaseRepresentation
bin1101000100000111111110…
…0110111010101111100101
31212212020022111201002100210
43101001333212322233211
53340322004423440331
650314544314330033
73011541662361105
oct321017746725745
955766274632323
1014364511546341
114638a56316540
12173bb31a29919
1380274c0c9b88
143793632d7205
1519d9c1e2e446
hexd107f9babe5

14364511546341 has 16 divisors (see below), whose sum is σ = 21458533220928. Its totient is φ = 8470473638400.

The previous prime is 14364511546289. The next prime is 14364511546349.

It is a happy number.

14364511546341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14364511546341 - 27 = 14364511546213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364511546349) 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, 5882272140 + ... + 5882274581.

It is an arithmetic number, because the mean of its divisors is an integer number (1341158326308).

Almost surely, 214364511546341 is an apocalyptic number.

14364511546341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14364511546341 is a deficient number, since it is larger than the sum of its proper divisors (7094021674587).

14364511546341 is a wasteful number, since it uses less digits than its factorization.

14364511546341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764546772.

The product of its digits is 2073600, while the sum is 48.

The spelling of 14364511546341 in words is "fourteen trillion, three hundred sixty-four billion, five hundred eleven million, five hundred forty-six thousand, three hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 11764546721 35293640163 129410013931 388230041793 435288228677 1305864686031 4788170515447 14364511546341