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14323144140 = 223753171033
BaseRepresentation
bin11010101011011100…
…11101010111001100
31100222012112010000000
431111232131113030
5213313211103030
610325134404300
71014640500504
oct152556352714
940865463000
1014323144140
116090050208
122938960690
131473551226
1499c392a04
1558c6b4860
hex355b9d5cc

14323144140 has 192 divisors, whose sum is σ = 45297141120. Its totient is φ = 3803770368.

The previous prime is 14323144103. The next prime is 14323144153. The reversal of 14323144140 is 4144132341.

14323144140 is a `hidden beast` number, since 14 + 3 + 231 + 4 + 414 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13865064 + ... + 13866096.

It is an arithmetic number, because the mean of its divisors is an integer number (235922610).

Almost surely, 214323144140 is an apocalyptic number.

14323144140 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 14323144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648570560).

14323144140 is an abundant number, since it is smaller than the sum of its proper divisors (30973996980).

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

14323144140 is a wasteful number, since it uses less digits than its factorization.

14323144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1360 counting only the distinct ones).

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

Adding to 14323144140 its reverse (4144132341), we get a palindrome (18467276481).

The spelling of 14323144140 in words is "fourteen billion, three hundred twenty-three million, one hundred forty-four thousand, one hundred forty".