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14323444065 = 3257213014993
BaseRepresentation
bin11010101011011111…
…00110100101100001
31100222020002100102100
431111233212211201
5213313300202230
610325145041013
71014643160100
oct152557464541
940866070370
1014323444065
116090235587
122938a86169
1314736278b8
1499c430037
1558c723660
hex355be6961

14323444065 has 72 divisors (see below), whose sum is σ = 28908727848. Its totient is φ = 6541516800.

The previous prime is 14323444043. The next prime is 14323444081. The reversal of 14323444065 is 56044432341.

14323444065 is a `hidden beast` number, since 14 + 3 + 234 + 4 + 406 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235653201 + 14087790864 = 15351^2 + 118692^2 .

It is not a de Polignac number, because 14323444065 - 28 = 14323443809 is a prime.

It is a super-2 number, since 2×143234440652 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2866209 + ... + 2871201.

It is an arithmetic number, because the mean of its divisors is an integer number (401510109).

Almost surely, 214323444065 is an apocalyptic number.

14323444065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14323444065 is an abundant number, since it is smaller than the sum of its proper divisors (14585283783).

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

14323444065 is a wasteful number, since it uses less digits than its factorization.

14323444065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 14323444065 in words is "fourteen billion, three hundred twenty-three million, four hundred forty-four thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 1301 2205 3903 4993 6505 9107 11709 14979 19515 24965 27321 34951 44937 45535 58545 63749 74895 81963 104853 136605 174755 191247 224685 244657 314559 318745 409815 524265 573741 733971 956235 1223285 1572795 2201913 2868705 3669855 6495893 11009565 19487679 32479465 45471251 58463037 97438395 136413753 227356255 292315185 318298757 409241259 682068765 954896271 1591493785 2046206295 2864688813 4774481355 14323444065