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14011661333364 = 22323431871631013
BaseRepresentation
bin1100101111100101100000…
…0110001011001101110100
31211121111112202210001211020
43023321120012023031310
53314031340300131424
645444511321541140
72644211013142032
oct313713006131564
954544482701736
1014011661333364
1145123485a2a82
1216a36790447b0
137a83a8b9ccc6
1436624d0cd552
1519471ea73079
hexcbe5818b374

14011661333364 has 96 divisors (see below), whose sum is σ = 34927442694144. Its totient is φ = 4361252058240.

The previous prime is 14011661333323. The next prime is 14011661333399. The reversal of 14011661333364 is 46333316611041.

14011661333364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21889522 + ... + 22520534.

It is an arithmetic number, because the mean of its divisors is an integer number (363827528064).

Almost surely, 214011661333364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011661333364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463721347072).

14011661333364 is an abundant number, since it is smaller than the sum of its proper divisors (20915781360780).

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

14011661333364 is a wasteful number, since it uses less digits than its factorization.

14011661333364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632957 (or 632955 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 14011661333364 in words is "fourteen trillion, eleven billion, six hundred sixty-one million, three hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1871 1978 2967 3742 3956 5613 5934 7484 11226 11868 22452 43033 80453 86066 129099 160906 172132 241359 258198 321812 482718 516396 631013 965436 1262026 1850419 1893039 2524052 3700838 3786078 5551257 7401676 7572156 11102514 14513299 22205028 27133559 29026598 43539897 54267118 58053196 81400677 87079794 108534236 162801354 174159588 325602708 624071857 1180625323 1248143714 1872215571 2361250646 2496287428 3541875969 3744431142 4722501292 7083751938 7488862284 14167503876 27154382429 50766888889 54308764858 81463147287 101533777778 108617529716 152300666667 162926294574 203067555556 304601333334 325852589148 609202666668 1167638444447 2335276888894 3502915333341 4670553777788 7005830666682 14011661333364