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14033003430 = 235172931127241
BaseRepresentation
bin11010001000110111…
…01010001110100110
31100012222120102202210
431010123222032212
5212214422102210
610240251544250
71004515363305
oct150433521646
940188512683
1014033003430
115a512a01a6
12287775b086
1314283c5c34
14971a2843c
15571ea1e20
hex3446ea3a6

14033003430 has 256 divisors, whose sum is σ = 38539100160. Its totient is φ = 3251404800.

The previous prime is 14033003417. The next prime is 14033003443. The reversal of 14033003430 is 3430033041.

14033003430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14033003417) and next prime (14033003443).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14033003397 and 14033003406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58228110 + ... + 58228350.

It is an arithmetic number, because the mean of its divisors is an integer number (150543360).

Almost surely, 214033003430 is an apocalyptic number.

14033003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14033003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269550080).

14033003430 is an abundant number, since it is smaller than the sum of its proper divisors (24506096730).

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

14033003430 is a wasteful number, since it uses less digits than its factorization.

14033003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 14033003430 its reverse (3430033041), we get a palindrome (17463036471).

The spelling of 14033003430 in words is "fourteen billion, thirty-three million, three thousand, four hundred thirty".