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14441411610 = 2325448135809
BaseRepresentation
bin11010111001100011…
…00111010000011010
31101021110001201110200
431130301213100122
5214034000132420
610345001323030
71020604654563
oct153461472032
941243051420
1014441411610
11614088931a
122970496476
131491bbc692
149add7b16a
15597c76b90
hex35cc6741a

14441411610 has 48 divisors (see below), whose sum is σ = 37557098280. Its totient is φ = 3850076160.

The previous prime is 14441411527. The next prime is 14441411623. The reversal of 14441411610 is 1611414441.

14441411610 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 41 + 1 + 610 = 666.

14441411610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13098115809 + 1343295801 = 114447^2 + 36651^2 .

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 23 ways as a sum of consecutive naturals, for example, 385386 + ... + 421194.

Almost surely, 214441411610 is an apocalyptic number.

14441411610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14441411610 is an abundant number, since it is smaller than the sum of its proper divisors (23115686670).

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

14441411610 is a wasteful number, since it uses less digits than its factorization.

14441411610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40303 (or 40300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 14441411610 in words is "fourteen billion, four hundred forty-one million, four hundred eleven thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4481 8962 13443 22405 26886 35809 40329 44810 67215 71618 80658 107427 134430 179045 201645 214854 322281 358090 403290 537135 644562 1074270 1611405 3222810 160460129 320920258 481380387 802300645 962760774 1444141161 1604601290 2406901935 2888282322 4813803870 7220705805 14441411610