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14476042240 = 21351119289
BaseRepresentation
bin11010111101101011…
…01110000000000000
31101100212020010202121
431132311232000000
5214121331322430
610352235454024
71021505220532
oct153665560000
941325203677
1014476042240
116159391880
12297bbb7314
13149912628a
149b47d3852
1559ad17a7a
hex35ed6e000

14476042240 has 336 divisors, whose sum is σ = 40447661040. Its totient is φ = 4930928640.

The previous prime is 14476042237. The next prime is 14476042261. The reversal of 14476042240 is 4224067441.

It is a junction number, because it is equal to n+sod(n) for n = 14476042196 and 14476042205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162652116 + ... + 162652204.

Almost surely, 214476042240 is an apocalyptic number.

14476042240 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 14476042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223830520).

14476042240 is an abundant number, since it is smaller than the sum of its proper divisors (25971618800).

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

14476042240 is an equidigital number, since it uses as much as digits as its factorization.

14476042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 14476042240 in words is "fourteen billion, four hundred seventy-six million, forty-two thousand, two hundred forty".