Search a number
-
+
110444443042122 = 23372931163151341
BaseRepresentation
bin11001000111001011011001…
…110010111000000101001010
3112111001101102010112121121000
4121013023121302320011022
5103434010204404321442
61030521250544355430
732156230154165130
oct3107133162700512
9474041363477530
10110444443042122
11322112528a8972
1210478a58615b76
134981b35315457
141d3b77a7d1750
15cb7da7bced4c
hex6472d9cb814a

110444443042122 has 256 divisors, whose sum is σ = 291566042726400. Its totient is φ = 30320746848000.

The previous prime is 110444443042103. The next prime is 110444443042127. The reversal of 110444443042122 is 221240344444011.

110444443042122 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 4 + 4 + 4 + 430 + 4 + 212 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (110444443042127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2151168172 + ... + 2151219512.

It is an arithmetic number, because the mean of its divisors is an integer number (1138929854400).

Almost surely, 2110444443042122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110444443042122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145783021363200).

110444443042122 is an abundant number, since it is smaller than the sum of its proper divisors (181121599684278).

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

110444443042122 is a wasteful number, since it uses less digits than its factorization.

110444443042122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52330 (or 52324 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 110444443042122 its reverse (221240344444011), we get a palindrome (331684787486133).

The spelling of 110444443042122 in words is "one hundred ten trillion, four hundred forty-four billion, four hundred forty-three million, forty-two thousand, one hundred twenty-two".