Search a number
-
+
14140241423000 = 23537111074793583
BaseRepresentation
bin1100110111000100100000…
…0100010010101010011000
31212001210102201220101121022
43031301020010102222120
53323133203301014000
650023534235302012
72656412235650030
oct315611004225230
955053381811538
1014140241423000
11456192a714470
1217045822aa908
137b755a844694
1436c569b828c0
15197c47e0c585
hexcdc48112a98

14140241423000 has 512 divisors, whose sum is σ = 41736889958400. Its totient is φ = 4355826624000.

The previous prime is 14140241422963. The next prime is 14140241423017. The reversal of 14140241423000 is 32414204141.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3946479209 + ... + 3946482791.

It is an arithmetic number, because the mean of its divisors is an integer number (81517363200).

Almost surely, 214140241423000 is an apocalyptic number.

14140241423000 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 14140241423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868444979200).

14140241423000 is an abundant number, since it is smaller than the sum of its proper divisors (27596648535400).

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

14140241423000 is a wasteful number, since it uses less digits than its factorization.

14140241423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14140241423000 its reverse (32414204141), we get a palindrome (14172655627141).

The spelling of 14140241423000 in words is "fourteen trillion, one hundred forty billion, two hundred forty-one million, four hundred twenty-three thousand".