Search a number
-
+
14142402540 = 22325728571871
BaseRepresentation
bin11010010101111001…
…11110111111101100
31100111121102111010200
431022330332333230
5212430423340130
610255200433500
71010314303200
oct151274767754
940447374120
1014142402540
115aa8021392
1228a8318890
131444c7a936
14982384b00
1557b8b1760
hex34af3efec

14142402540 has 216 divisors, whose sum is σ = 49987409472. Its totient is φ = 3227051520.

The previous prime is 14142402481. The next prime is 14142402551. The reversal of 14142402540 is 4520424141.

14142402540 is a `hidden beast` number, since 1 + 41 + 42 + 40 + 2 + 540 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7557805 + ... + 7559675.

It is an arithmetic number, because the mean of its divisors is an integer number (231423192).

Almost surely, 214142402540 is an apocalyptic number.

14142402540 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 14142402540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24993704736).

14142402540 is an abundant number, since it is smaller than the sum of its proper divisors (35845006932).

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

14142402540 is a wasteful number, since it uses less digits than its factorization.

14142402540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14142402540 its reverse (4520424141), we get a palindrome (18662826681).

The spelling of 14142402540 in words is "fourteen billion, one hundred forty-two million, four hundred two thousand, five hundred forty".