Search a number
-
+
112014740597760 = 210325721113192312
BaseRepresentation
bin11001011110000001110110…
…110100101010110000000000
3112200121111121212102120210100
4121132001312310222300000
5104140222142043112020
61034122510023002400
732410540460162400
oct3136016664526000
9480544555376710
10112014740597760
1132767203938280
1210691259b99400
134a66c386c9710
141d937843ac800
15ce3b61864a90
hex65e076d2ac00

112014740597760 has 7128 divisors, whose sum is σ = 578456635066128. Its totient is φ = 19697939251200.

The previous prime is 112014740597743. The next prime is 112014740597803. The reversal of 112014740597760 is 67795047410211.

112014740597760 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 4 + 7 + 40 + 597 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×1120147405977602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112014740597697 and 112014740597706.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3613378728945 + ... + 3613378728975.

Almost surely, 2112014740597760 is an apocalyptic number.

112014740597760 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 112014740597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289228317533064).

112014740597760 is an abundant number, since it is smaller than the sum of its proper divisors (466441894468368).

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

112014740597760 is a wasteful number, since it uses less digits than its factorization.

112014740597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 112014740597760 in words is "one hundred twelve trillion, fourteen billion, seven hundred forty million, five hundred ninety-seven thousand, seven hundred sixty".