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244226383622442 = 233134158727295297
BaseRepresentation
bin110111100001111101100010…
…110101110011000100101010
31012000201210222120222100022000
4313201331202311303010222
5224002401113201404232
62223232015102311430
7102304526313414504
oct6741754265630452
91160653876870260
10244226383622442
11708aa91164a231
1223484861888576
13a6375aba40840
144444897554d74
151d37d4e5ba27c
hexde1f62d7312a

244226383622442 has 256 divisors, whose sum is σ = 600081860851200. Its totient is φ = 73148209643520.

The previous prime is 244226383622437. The next prime is 244226383622443.

244226383622442 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 2 + 6 + 3 + 8 + 3 + 622 + 4 + 4 + 2 = 666.

244226383622442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (244226383622443) 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, 46106545138 + ... + 46106550434.

It is an arithmetic number, because the mean of its divisors is an integer number (2344069768950).

Almost surely, 2244226383622442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244226383622442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300040930425600).

244226383622442 is an abundant number, since it is smaller than the sum of its proper divisors (355855477228758).

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

244226383622442 is a wasteful number, since it uses less digits than its factorization.

244226383622442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8672 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 54.

The spelling of 244226383622442 in words is "two hundred forty-four trillion, two hundred twenty-six billion, three hundred eighty-three million, six hundred twenty-two thousand, four hundred forty-two".