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15141000316050 = 23252722601726393
BaseRepresentation
bin1101110001010100100111…
…1100100000010010010010
31222121110120100022120122100
43130111021330200102102
53441032232040103200
652111402435421230
73121621050124200
oct334251174402222
958543510276570
1015141000316050
114908297a539a4
121846516454816
1385aa370cc75b
143a4b84cd4070
151b3cbb0cad00
hexdc549f20492

15141000316050 has 216 divisors, whose sum is σ = 47323872786996. Its totient is φ = 3460535930880.

The previous prime is 15141000316027. The next prime is 15141000316163. The reversal of 15141000316050 is 5061300014151.

15141000316050 is a `hidden beast` number, since 1 + 5 + 14 + 10 + 0 + 0 + 31 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6986543244849 + 8154457071201 = 2643207^2 + 2855601^2 .

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 107 ways as a sum of consecutive naturals, for example, 573661654 + ... + 573688046.

Almost surely, 215141000316050 is an apocalyptic number.

15141000316050 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 15141000316050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23661936393498).

15141000316050 is an abundant number, since it is smaller than the sum of its proper divisors (32182872470946).

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

15141000316050 is a wasteful number, since it uses less digits than its factorization.

15141000316050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52442 (or 52427 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 15141000316050 in words is "fifteen trillion, one hundred forty-one billion, three hundred sixteen thousand, fifty".