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14442202332 = 2232669159957
BaseRepresentation
bin11010111001101001…
…01000010011011100
31101021111112220010200
431130310220103130
5214034200433312
610345030303500
71020614460105
oct153464502334
941244486120
1014442202332
116141279408
1229707b7b90
13149210856c
149b01053ac
15597d810dc
hex35cd284dc

14442202332 has 36 divisors (see below), whose sum is σ = 36512743176. Its totient is φ = 4813267680.

The previous prime is 14442202301. The next prime is 14442202339. The reversal of 14442202332 is 23320224441.

14442202332 is a `hidden beast` number, since 1 + 4 + 4 + 422 + 0 + 233 + 2 = 666.

14442202332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14442202296 and 14442202305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442202339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210898 + ... + 270854.

It is an arithmetic number, because the mean of its divisors is an integer number (1014242866).

Almost surely, 214442202332 is an apocalyptic number.

14442202332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14442202332 is an abundant number, since it is smaller than the sum of its proper divisors (22070540844).

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

14442202332 is a wasteful number, since it uses less digits than its factorization.

14442202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66658 (or 66653 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14442202332 its reverse (23320224441), we get a palindrome (37762426773).

The spelling of 14442202332 in words is "fourteen billion, four hundred forty-two million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6691 13382 20073 26764 40146 59957 60219 80292 119914 120438 179871 239828 240876 359742 539613 719484 1079226 2158452 401172287 802344574 1203516861 1604689148 2407033722 3610550583 4814067444 7221101166 14442202332