Search a number
-
+
14113921536 = 2932111321419
BaseRepresentation
bin11010010010100000…
…10101101000000000
31100102121211111112200
431021100111220000
5212401130442121
610252302153200
71006520232201
oct151120255000
940377744480
1014113921536
115a92a39170
12289a882800
13143c0b8180
1497c68d5a8
15579137a26
hex349415a00

14113921536 has 240 divisors, whose sum is σ = 47857249440. Its totient is φ = 3947765760.

The previous prime is 14113921499. The next prime is 14113921537. The reversal of 14113921536 is 63512931141.

14113921536 is a `hidden beast` number, since 1 + 4 + 113 + 9 + 2 + 1 + 536 = 666.

It is a super-2 number, since 2×141139215362 (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 self number, because there is not a number n which added to its sum of digits gives 14113921536.

It is not an unprimeable number, because it can be changed into a prime (14113921537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648235 + ... + 669653.

It is an arithmetic number, because the mean of its divisors is an integer number (199405206).

Almost surely, 214113921536 is an apocalyptic number.

14113921536 is a gapful number since it is divisible by the number (16) 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 14113921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928624720).

14113921536 is an abundant number, since it is smaller than the sum of its proper divisors (33743327904).

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

14113921536 is a wasteful number, since it uses less digits than its factorization.

14113921536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21467 (or 21448 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 14113921536 in words is "fourteen billion, one hundred thirteen million, nine hundred twenty-one thousand, five hundred thirty-six".