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442240321315131 = 32139993510094541
BaseRepresentation
bin110010010001101110001100…
…1010000011110000100111011
32010222211202120100222200220200
41210203130121100132010323
5430431131134224041011
64204322222100053243
7162102544266665643
oct14443343120360473
92128752510880820
10442240321315131
11118a03081223589
1241725178994223
1315c9c11119cca1
147b2c78d7c3523
15361da440a3856
hex192371941e13b

442240321315131 has 12 divisors (see below), whose sum is σ = 638837206644000. Its totient is φ = 294805820225520.

The previous prime is 442240321315109. The next prime is 442240321315141. The reversal of 442240321315131 is 131513123042244.

442240321315131 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 4 + 0 + 3 + 2 + 131 + 513 + 1 = 666.

It is not a de Polignac number, because 442240321315131 - 214 = 442240321298747 is a prime.

It is a super-2 number, since 2×4422403213151312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442240321315141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1754921280 + ... + 1755173261.

It is an arithmetic number, because the mean of its divisors is an integer number (53236433887000).

Almost surely, 2442240321315131 is an apocalyptic number.

442240321315131 is a deficient number, since it is larger than the sum of its proper divisors (196596885328869).

442240321315131 is a wasteful number, since it uses less digits than its factorization.

442240321315131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510108546 (or 3510108543 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 442240321315131 its reverse (131513123042244), we get a palindrome (573753444357375).

The spelling of 442240321315131 in words is "four hundred forty-two trillion, two hundred forty billion, three hundred twenty-one million, three hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 9 13999 41997 125991 3510094541 10530283623 31590850869 49137813479459 147413440438377 442240321315131