Search a number
-
+
112327043310720 = 27365761563831
BaseRepresentation
bin11001100010100100101101…
…100000111110010010000000
3112201201100201210002012000000
4121202210231200332102000
5104210331241041420340
61034522155322000000
732442234563350620
oct3142445540762200
9481640653065000
10112327043310720
11328776a4652947
1210721897646000
134a8a5192ca724
141da492d40a880
15cebd3e13bd30
hex66292d83e480

112327043310720 has 896 divisors, whose sum is σ = 467673745178880. Its totient is φ = 25253810380800.

The previous prime is 112327043310719. The next prime is 112327043310761. The reversal of 112327043310720 is 27013340723211.

112327043310720 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 270 + 4 + 3 + 310 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 198939205 + ... + 199503035.

Almost surely, 2112327043310720 is an apocalyptic number.

112327043310720 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 112327043310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233836872589440).

112327043310720 is an abundant number, since it is smaller than the sum of its proper divisors (355346701868160).

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

112327043310720 is an frugal number, since it uses more digits than its factorization.

112327043310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563936 (or 563909 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 112327043310720 in words is "one hundred twelve trillion, three hundred twenty-seven billion, forty-three million, three hundred ten thousand, seven hundred twenty".