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14541214540 = 22543119314173
BaseRepresentation
bin11011000101011100…
…10101001101001100
31101112101212020100111
431202232111031030
5214240022331130
610402524405404
71023226166326
oct154256251514
941471766314
1014541214540
116192155786
1229999a6864
1314a9794578
149bd31a616
155a18dd02a
hex362b9534c

14541214540 has 48 divisors (see below), whose sum is σ = 31275101088. Its totient is φ = 5676056064.

The previous prime is 14541214531. The next prime is 14541214559. The reversal of 14541214540 is 4541214541.

14541214540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145412145402 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018894 + ... + 1033066.

It is an arithmetic number, because the mean of its divisors is an integer number (651564606).

Almost surely, 214541214540 is an apocalyptic number.

14541214540 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 14541214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637550544).

14541214540 is an abundant number, since it is smaller than the sum of its proper divisors (16733886548).

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

14541214540 is a wasteful number, since it uses less digits than its factorization.

14541214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15416 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Subtracting from 14541214540 its reverse (4541214541), we obtain a palindrome (9999999999).

The spelling of 14541214540 in words is "fourteen billion, five hundred forty-one million, two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1193 2386 4772 5965 11930 14173 23860 28346 51299 56692 70865 102598 141730 205196 256495 283460 512990 609439 1025980 1218878 2437756 3047195 6094390 12188780 16908389 33816778 67633556 84541945 169083890 338167780 727060727 1454121454 2908242908 3635303635 7270607270 14541214540