Search a number
-
+
14202324424440 = 23335234431290637
BaseRepresentation
bin1100111010101011110010…
…0000001001011011111000
31212021201200102000122011000
43032222330200021123320
53330142330023040230
650112242513405000
72664040560523155
oct316527440113370
955251612018130
1014202324424440
11458619897a319
121714609869760
137c03729ba4a9
1437157913922c
1519967d46ab60
hexceabc8096f8

14202324424440 has 256 divisors, whose sum is σ = 49510938700800. Its totient is φ = 3614441605632.

The previous prime is 14202324424399. The next prime is 14202324424487. The reversal of 14202324424440 is 4442442320241.

14202324424440 is a `hidden beast` number, since 1 + 4 + 202 + 3 + 2 + 4 + 4 + 2 + 4 + 440 = 666.

14202324424440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14202324424395 and 14202324424404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10358802 + ... + 11649438.

It is an arithmetic number, because the mean of its divisors is an integer number (193402104300).

Almost surely, 214202324424440 is an apocalyptic number.

14202324424440 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 14202324424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755469350400).

14202324424440 is an abundant number, since it is smaller than the sum of its proper divisors (35308614276360).

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

14202324424440 is a wasteful number, since it uses less digits than its factorization.

14202324424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291123 (or 1291113 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 14202324424440 its reverse (4442442320241), we get a palindrome (18644766744681).

The spelling of 14202324424440 in words is "fourteen trillion, two hundred two billion, three hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".