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14223440401014 = 2313232415982883
BaseRepresentation
bin1100111011111010011100…
…0111001101001001110110
31212100202012000110101110110
43032332213013031021312
53331014101220313024
650130054110203450
72665416053414115
oct316764707151166
955322160411413
1014223440401014
114594144336029
1217187214b3586
137c235964aaa0
143725bd71bc7c
15199eb7176629
hexcefa71cd276

14223440401014 has 96 divisors (see below), whose sum is σ = 32033061365760. Its totient is φ = 4185106035264.

The previous prime is 14223440400919. The next prime is 14223440401031. The reversal of 14223440401014 is 41010404432241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171567217 + ... + 171650099.

It is an arithmetic number, because the mean of its divisors is an integer number (333677722560).

Almost surely, 214223440401014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223440401014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016530682880).

14223440401014 is an abundant number, since it is smaller than the sum of its proper divisors (17809620964746).

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

14223440401014 is a wasteful number, since it uses less digits than its factorization.

14223440401014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87106 (or 87083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14223440401014 its reverse (41010404432241), we get a palindrome (55233844833255).

The spelling of 14223440401014 in words is "fourteen trillion, two hundred twenty-three billion, four hundred forty million, four hundred one thousand, fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 529 598 897 1058 1587 1794 3174 4159 6877 8318 12477 13754 20631 24954 41262 54067 82883 95657 108134 162201 165766 191314 248649 286971 324402 497298 573942 1077479 1243541 1906309 2154958 2200111 2487082 3232437 3730623 3812618 4400222 5718927 6464874 6600333 7461246 11437854 13200666 24782017 28601443 43845107 49564034 57202886 74346051 85804329 87690214 131535321 148692102 171608658 263070642 344710397 569986391 689420794 1034131191 1139972782 1709959173 2068262382 3419918346 4481235161 7928339131 8962470322 13443705483 15856678262 23785017393 26887410966 47570034786 103068408703 182351800013 206136817406 309205226109 364703600026 547055400039 618410452218 1094110800078 2370573400169 4741146800338 7111720200507 14223440401014