Search a number
-
+
14341423140 = 22335118772753
BaseRepresentation
bin11010101101101000…
…01100000000100100
31101000110220210002000
431112310030000210
5213332401020030
610331030245300
71015252041162
oct152664140044
941013823060
1014341423140
11609a3a5520
122942ab6830
1314772811c5
149a0990232
1558e0c5860
hex356d0c024

14341423140 has 192 divisors, whose sum is σ = 48747121920. Its totient is φ = 3471482880.

The previous prime is 14341423139. The next prime is 14341423153. The reversal of 14341423140 is 4132414341.

14341423140 is a `hidden beast` number, since 1 + 4 + 341 + 4 + 2 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5208004 + ... + 5210756.

It is an arithmetic number, because the mean of its divisors is an integer number (253891260).

Almost surely, 214341423140 is an apocalyptic number.

14341423140 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 14341423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373560960).

14341423140 is an abundant number, since it is smaller than the sum of its proper divisors (34405698780).

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

14341423140 is a wasteful number, since it uses less digits than its factorization.

14341423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14341423140 its reverse (4132414341), we get a palindrome (18473837481).

The spelling of 14341423140 in words is "fourteen billion, three hundred forty-one million, four hundred twenty-three thousand, one hundred forty".