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14224142014416 = 243410975418221
BaseRepresentation
bin1100111011111101000011…
…1011101001011111010000
31212100210222220200001010000
43032333100323221133100
53331022020323430131
650130251452210000
72665442333135205
oct316772073513720
955323886601100
1014224142014416
114594474387614
121718898469900
137c243bb03649
14372648995cac
1519a008a66ce6
hexcefd0ee97d0

14224142014416 has 50 divisors (see below), whose sum is σ = 41168793750722. Its totient is φ = 4741380671040.

The previous prime is 14224142014249. The next prime is 14224142014417. The reversal of 14224142014416 is 61441024142241.

14224142014416 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 1 + 4 + 201 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10599322035600 + 3624819978816 = 3255660^2 + 1903896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224142014417) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5487707815 + ... + 5487710406.

Almost surely, 214224142014416 is an apocalyptic number.

14224142014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14224142014416 is an abundant number, since it is smaller than the sum of its proper divisors (26944651736306).

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

14224142014416 is a wasteful number, since it uses less digits than its factorization.

14224142014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975418241 (or 10975418226 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 14224142014416 its reverse (61441024142241), we get a palindrome (75665166156657).

The spelling of 14224142014416 in words is "fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10975418221 21950836442 32926254663 43901672884 65852509326 87803345768 98778763989 131705018652 175606691536 197557527978 263410037304 296336291967 395115055956 526820074608 592672583934 790230111912 889008875901 1185345167868 1580460223824 1778017751802 2370690335736 3556035503604 4741380671472 7112071007208 14224142014416