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14131520910 = 23251353281811
BaseRepresentation
bin11010010100100110…
…11110010110001110
31100110211221122100100
431022103132112032
5212420132132120
610254131311530
71010122642263
oct151223362616
940424848310
1014131520910
115aa1969901
1228a474b5a6
13144293a9c0
14980b5126a
1557a962490
hex34a4de58e

14131520910 has 192 divisors, whose sum is σ = 40508185536. Its totient is φ = 3396556800.

The previous prime is 14131520899. The next prime is 14131520933. The reversal of 14131520910 is 1902513141.

It is a happy number.

14131520910 is a `hidden beast` number, since 1 + 4 + 131 + 520 + 9 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17424405 + ... + 17425215.

It is an arithmetic number, because the mean of its divisors is an integer number (210980133).

Almost surely, 214131520910 is an apocalyptic number.

14131520910 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 14131520910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254092768).

14131520910 is an abundant number, since it is smaller than the sum of its proper divisors (26376664626).

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

14131520910 is a wasteful number, since it uses less digits than its factorization.

14131520910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 14131520910 in words is "fourteen billion, one hundred thirty-one million, five hundred twenty thousand, nine hundred ten".