Search a number
-
+
14160750604000 = 25537111328312497
BaseRepresentation
bin1100111000010000111010…
…0000100110111011100000
31212010202101001112201212121
43032010032200212323200
53324002204123312000
650041205314234024
72661036413056450
oct316041640467340
955122331481777
1014160750604000
11456a5a4600730
121708546885914
137b947886a240
1436d55392dd60
15198548706b1a
hexce10e826ee0

14160750604000 has 768 divisors, whose sum is σ = 46883850983424. Its totient is φ = 4059500544000.

The previous prime is 14160750603947. The next prime is 14160750604003. The reversal of 14160750604000 is 40605706141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14160750604003) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1133125752 + ... + 1133138248.

It is an arithmetic number, because the mean of its divisors is an integer number (61046680968).

Almost surely, 214160750604000 is an apocalyptic number.

14160750604000 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 14160750604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23441925491712).

14160750604000 is an abundant number, since it is smaller than the sum of its proper divisors (32723100379424).

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

14160750604000 is a wasteful number, since it uses less digits than its factorization.

14160750604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12818 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 14160750604000 in words is "fourteen trillion, one hundred sixty billion, seven hundred fifty million, six hundred four thousand".