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211114422241344 = 263237149211315083
BaseRepresentation
bin110000000000000111101000…
…001001010000100001000000
31000200111100020001220211221100
4300000013220021100201000
5210132344314043210334
62025000343210454400
762316341121512406
oct6000075011204100
91020440201824840
10211114422241344
11612a413a682786
121b817480a34400
1390a500a12c48b
143a1bdc7807476
151961885bbec99
hexc001e8250840

211114422241344 has 336 divisors, whose sum is σ = 628614131745600. Its totient is φ = 67687478046720.

The previous prime is 211114422241319. The next prime is 211114422241367. The reversal of 211114422241344 is 443142224411112.

211114422241344 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 14 + 4 + 222 + 413 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211114422241299 and 211114422241308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669870427 + ... + 670185509.

It is an arithmetic number, because the mean of its divisors is an integer number (1870875392100).

Almost surely, 2211114422241344 is an apocalyptic number.

211114422241344 is a gapful number since it is divisible by the number (24) 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 211114422241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314307065872800).

211114422241344 is an abundant number, since it is smaller than the sum of its proper divisors (417499709504256).

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

211114422241344 is a wasteful number, since it uses less digits than its factorization.

211114422241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315498 (or 315485 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 211114422241344 its reverse (443142224411112), we get a palindrome (654256646652456).

The spelling of 211114422241344 in words is "two hundred eleven trillion, one hundred fourteen billion, four hundred twenty-two million, two hundred forty-one thousand, three hundred forty-four".