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112675702414000 = 245311101163311099
BaseRepresentation
bin11001100111101001011011…
…001101111001101010110000
3112202221200200102200202212111
4121213221123031321222300
5104232034314304222000
61035350300400335104
732506356642004165
oct3147513315715260
9482850612622774
10112675702414000
11329a1551621690
1210779380914494
134ab437214232b
141db7766b5406c
15d05e485c2cba
hex667a5b379ab0

112675702414000 has 320 divisors, whose sum is σ = 302003216985600. Its totient is φ = 40318300800000.

The previous prime is 112675702413977. The next prime is 112675702414019. The reversal of 112675702414000 is 414207576211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362030451 + ... + 362341549.

It is an arithmetic number, because the mean of its divisors is an integer number (943760053080).

Almost surely, 2112675702414000 is an apocalyptic number.

112675702414000 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 112675702414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151001608492800).

112675702414000 is an abundant number, since it is smaller than the sum of its proper divisors (189327514571600).

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

112675702414000 is a wasteful number, since it uses less digits than its factorization.

112675702414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311397 (or 311381 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 112675702414000 in words is "one hundred twelve trillion, six hundred seventy-five billion, seven hundred two million, four hundred fourteen thousand".