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414044222241 = 31310616518519
BaseRepresentation
bin1100000011001101111…
…01010111001100100001
31110120201110020210002010
412001212331113030201
523240430310102431
6514113112343133
741625254551236
oct6014675271441
91416643223063
10414044222241
1114a660195441
12682b26a4aa9
1330076161810
141607b4ab78d
15ab84864846
hex6066f57321

414044222241 has 8 divisors (see below), whose sum is σ = 594525037120. Its totient is φ = 254796444432.

The previous prime is 414044222233. The next prime is 414044222299. The reversal of 414044222241 is 142222440414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414044222241 - 23 = 414044222233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414044222199 and 414044222208.

It is not an unprimeable number, because it can be changed into a prime (414044222231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5308259221 + ... + 5308259298.

It is an arithmetic number, because the mean of its divisors is an integer number (74315629640).

Almost surely, 2414044222241 is an apocalyptic number.

It is an amenable number.

414044222241 is a deficient number, since it is larger than the sum of its proper divisors (180480814879).

414044222241 is a wasteful number, since it uses less digits than its factorization.

414044222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616518535.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414044222241 its reverse (142222440414), we get a palindrome (556266662655).

The spelling of 414044222241 in words is "four hundred fourteen billion, forty-four million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 13 39 10616518519 31849555557 138014740747 414044222241