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14442403340 = 22523413732053
BaseRepresentation
bin11010111001101010…
…11001011000001100
31101021111221002212102
431130311121120030
5214034223401330
610345034454232
71020616255121
oct153465313014
941244832772
1014442403340
1161413a6432
122970894378
131492178bc1
149b0158748
15597dc0945
hex35cd5960c

14442403340 has 96 divisors (see below), whose sum is σ = 32522345856. Its totient is φ = 5373941760.

The previous prime is 14442403337. The next prime is 14442403357. The reversal of 14442403340 is 4330424441.

It is a happy number.

14442403340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7033754 + ... + 7035806.

It is an arithmetic number, because the mean of its divisors is an integer number (338774436).

Almost surely, 214442403340 is an apocalyptic number.

14442403340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261172928).

14442403340 is an abundant number, since it is smaller than the sum of its proper divisors (18079942516).

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

14442403340 is a wasteful number, since it uses less digits than its factorization.

14442403340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14442403340 its reverse (4330424441), we get a palindrome (18772827781).

The spelling of 14442403340 in words is "fourteen billion, four hundred forty-two million, four hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 373 410 460 746 820 943 1492 1865 1886 2053 3730 3772 4106 4715 7460 8212 8579 9430 10265 15293 17158 18860 20530 30586 34316 41060 42895 47219 61172 76465 84173 85790 94438 152930 168346 171580 188876 236095 305860 336692 351739 420865 472190 703478 765769 841730 944380 1406956 1531538 1683460 1758695 1935979 3063076 3517390 3828845 3871958 7034780 7657690 7743916 9679895 15315380 17612687 19359790 31396529 35225374 38719580 62793058 70450748 88063435 125586116 156982645 176126870 313965290 352253740 627930580 722120167 1444240334 2888480668 3610600835 7221201670 14442403340