Search a number
-
+
1094022244224 = 273272133174703
BaseRepresentation
bin11111110101110001100…
…11101010011110000000
310212120212021212022101200
433322320303222132000
5120411024143303344
62154330433301200
7142016614433100
oct17727063523600
93776767768350
101094022244224
11391a77043668
12158041a04800
137c2204ca290
143ad45609200
151d6d0cae069
hexfeb8cea780

1094022244224 has 576 divisors, whose sum is σ = 3957134912640. Its totient is φ = 287561981952.

The previous prime is 1094022244163. The next prime is 1094022244297. The reversal of 1094022244224 is 4224422204901.

1094022244224 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 2 + 224 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232619857 + ... + 232624559.

It is an arithmetic number, because the mean of its divisors is an integer number (6870025890).

Almost surely, 21094022244224 is an apocalyptic number.

1094022244224 is a gapful number since it is divisible by the number (14) 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 1094022244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978567456320).

1094022244224 is an abundant number, since it is smaller than the sum of its proper divisors (2863112668416).

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

1094022244224 is a wasteful number, since it uses less digits than its factorization.

1094022244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1094022244224 in words is "one trillion, ninety-four billion, twenty-two million, two hundred forty-four thousand, two hundred twenty-four".