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14343345540 = 223458853917
BaseRepresentation
bin11010101101110111…
…00001010110000100
31101000121112110010000
431112323201112010
5213333344024130
610331135401300
71015304265636
oct152673412604
941017473100
1014343345540
1160a0498887
122943683230
1314777a5214
149a0d30a56
1558e355260
hex356ee1584

14343345540 has 60 divisors (see below), whose sum is σ = 44995611276. Its totient is φ = 3824891712.

The previous prime is 14343345539. The next prime is 14343345547. The reversal of 14343345540 is 4554334341.

14343345540 is a `hidden beast` number, since 1 + 43 + 4 + 33 + 45 + 540 = 666.

14343345540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2116736064 + 12226609476 = 46008^2 + 110574^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×143433455402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14343345495 and 14343345504.

It is not an unprimeable number, because it can be changed into a prime (14343345547) 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 19 ways as a sum of consecutive naturals, for example, 4425339 + ... + 4428578.

Almost surely, 214343345540 is an apocalyptic number.

14343345540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14343345540 is an abundant number, since it is smaller than the sum of its proper divisors (30652265736).

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

14343345540 is a wasteful number, since it uses less digits than its factorization.

14343345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853938 (or 8853927 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 14343345540 its reverse (4554334341), we get a palindrome (18897679881).

The spelling of 14343345540 in words is "fourteen billion, three hundred forty-three million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8853917 17707834 26561751 35415668 44269585 53123502 79685253 88539170 106247004 132808755 159370506 177078340 239055759 265617510 318741012 398426265 478111518 531235020 717167277 796852530 956223036 1195278795 1434334554 1593705060 2390557590 2868669108 3585836385 4781115180 7171672770 14343345540