Search a number
-
+
14332042440 = 233251723293511
BaseRepresentation
bin11010101100100000…
…11001110011001000
31100222211021012011200
431112100121303020
5213323000324230
610330053224200
71015106231202
oct152620316310
940884235150
1014332042440
116095078681
12293b932060
1314753484b1
1499d62b772
1558d371160
hex356419cc8

14332042440 has 384 divisors, whose sum is σ = 53253158400. Its totient is φ = 3321077760.

The previous prime is 14332042421. The next prime is 14332042471. The reversal of 14332042440 is 4424023341.

It is a happy number.

14332042440 is a `hidden beast` number, since 1 + 433 + 204 + 24 + 4 + 0 = 666.

It is a super-2 number, since 2×143320424402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4080285 + ... + 4083795.

It is an arithmetic number, because the mean of its divisors is an integer number (138680100).

Almost surely, 214332042440 is an apocalyptic number.

14332042440 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 14332042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26626579200).

14332042440 is an abundant number, since it is smaller than the sum of its proper divisors (38921115960).

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

14332042440 is a wasteful number, since it uses less digits than its factorization.

14332042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14332042440 its reverse (4424023341), we get a palindrome (18756065781).

The spelling of 14332042440 in words is "fourteen billion, three hundred thirty-two million, forty-two thousand, four hundred forty".