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14343314336 = 2513259313297
BaseRepresentation
bin11010101101110110…
…11001101110100000
31101000121110212022022
431112323121232200
5213333342024321
610331135001012
71015304105651
oct152673315640
941017425268
1014343314336
1160a047739a
122943669168
131477793c60
149a0d23528
1558e34adab
hex356ed9ba0

14343314336 has 48 divisors (see below), whose sum is σ = 30424600584. Its totient is φ = 6616940544.

The previous prime is 14343314327. The next prime is 14343314351. The reversal of 14343314336 is 63341334341.

It can be written as a sum of positive squares in 4 ways, for example, as 5574115600 + 8769198736 = 74660^2 + 93644^2 .

It is a super-2 number, since 2×143433143362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14343314296 and 14343314305.

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 7 ways as a sum of consecutive naturals, for example, 1072040 + ... + 1085336.

Almost surely, 214343314336 is an apocalyptic number.

14343314336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14343314336 is an abundant number, since it is smaller than the sum of its proper divisors (16081286248).

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

14343314336 is a wasteful number, since it uses less digits than its factorization.

14343314336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913 (or 15905 counting only the distinct ones).

The product of its digits is 93312, while the sum is 35.

Adding to 14343314336 its reverse (63341334341), we get a palindrome (77684648677).

The spelling of 14343314336 in words is "fourteen billion, three hundred forty-three million, three hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2593 5186 10372 13297 20744 26594 33709 41488 53188 67418 82976 106376 134836 172861 212752 269672 345722 425504 539344 691444 1078688 1382888 2765776 5531552 34479121 68958242 137916484 275832968 448228573 551665936 896457146 1103331872 1792914292 3585828584 7171657168 14343314336