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412224041434221 = 32371237910034337
BaseRepresentation
bin101110110111010100110001…
…1100011101011110001101101
32000001120020022012211022012100
41131232221203203223301231
5413012334314101343341
64020421035454325313
7152554130013502662
oct13556514343536155
92001506265738170
10412224041434221
1110a390263804aa5
123a2979454b9839
1314902739002413
1473b1a7024ba69
15329cd5ee4b3b6
hex176ea638ebc6d

412224041434221 has 12 divisors (see below), whose sum is σ = 611527556962972. Its totient is φ = 267388567416576.

The previous prime is 412224041434201. The next prime is 412224041434223. The reversal of 412224041434221 is 122434140422214.

412224041434221 is a `hidden beast` number, since 4 + 1 + 2 + 22 + 404 + 1 + 4 + 3 + 4 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 244723785322500 + 167500256111721 = 15643650^2 + 12942189^2 .

It is not a de Polignac number, because 412224041434221 - 215 = 412224041401453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412224041434223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618955016836 + ... + 618955017501.

Almost surely, 2412224041434221 is an apocalyptic number.

It is an amenable number.

412224041434221 is a deficient number, since it is larger than the sum of its proper divisors (199303515528751).

412224041434221 is a wasteful number, since it uses less digits than its factorization.

412224041434221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237910034380 (or 1237910034377 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 412224041434221 its reverse (122434140422214), we get a palindrome (534658181856435).

The spelling of 412224041434221 in words is "four hundred twelve trillion, two hundred twenty-four billion, forty-one million, four hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 1237910034337 3713730103011 11141190309033 45802671270469 137408013811407 412224041434221