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14023310040 = 23325312335393
BaseRepresentation
bin11010000111101101…
…01011101011011000
31100012022022221221100
431003312223223120
5212204431410130
610235304111400
71004340111555
oct150366535330
940168287840
1014023310040
115a4687a433
122874465560
1314263b0abc
14970623a2c
155711d9c60
hex343dabad8

14023310040 has 192 divisors, whose sum is σ = 47256618240. Its totient is φ = 3602718720.

The previous prime is 14023310029. The next prime is 14023310087. The reversal of 14023310040 is 4001332041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14023309995 and 14023310022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597584 + ... + 2602976.

It is an arithmetic number, because the mean of its divisors is an integer number (246128220).

Almost surely, 214023310040 is an apocalyptic number.

14023310040 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 14023310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628309120).

14023310040 is an abundant number, since it is smaller than the sum of its proper divisors (33233308200).

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

14023310040 is a wasteful number, since it uses less digits than its factorization.

14023310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14023310040 its reverse (4001332041), we get a palindrome (18024642081).

The spelling of 14023310040 in words is "fourteen billion, twenty-three million, three hundred ten thousand, forty".