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12314242332441 = 3272173161407237
BaseRepresentation
bin1011001100110010001000…
…0010100011011100011001
31121121020012201110120201200
42303030202002203130121
53103224032014114231
642105030153504413
72410450255532100
oct263144202433431
947536181416650
1012314242332441
113a18493846285
12146a6baa12109
136b42c70b6a2a
14308026479037
151654c5b2ebe6
hexb33220a3719

12314242332441 has 36 divisors (see below), whose sum is σ = 20810880824292. Its totient is φ = 6996035237184.

The previous prime is 12314242332439. The next prime is 12314242332451. The reversal of 12314242332441 is 14423324241321.

12314242332441 is a `hidden beast` number, since 1 + 2 + 3 + 142 + 42 + 3 + 32 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10853598470400 + 1460643862041 = 3294480^2 + 1208571^2 .

It is not a de Polignac number, because 12314242332441 - 21 = 12314242332439 is a prime.

It is a super-2 number, since 2×123142423324412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12314242332396 and 12314242332405.

It is not an unprimeable number, because it can be changed into a prime (12314242332451) 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 35 ways as a sum of consecutive naturals, for example, 80627326 + ... + 80779911.

It is an arithmetic number, because the mean of its divisors is an integer number (578080022897).

Almost surely, 212314242332441 is an apocalyptic number.

It is an amenable number.

12314242332441 is a deficient number, since it is larger than the sum of its proper divisors (8496638491851).

12314242332441 is a wasteful number, since it uses less digits than its factorization.

12314242332441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161407430 (or 161407420 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 12314242332441 its reverse (14423324241321), we get a palindrome (26737566573762).

The spelling of 12314242332441 in words is "twelve trillion, three hundred fourteen billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 173 441 519 1211 1557 3633 8477 10899 25431 76293 161407237 484221711 1129850659 1452665133 3389551977 7908954613 10168655931 23726863839 27923452001 71180591517 83770356003 195464164007 251311068009 586392492021 1368249148049 1759177476063 4104747444147 12314242332441