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442440230300341 = 72132923950643117
BaseRepresentation
bin110010010011001011010010…
…0110000101110101010110101
32011000112212120101000100120221
41210212112210300232222311
5430442420042424102331
64204554122535254341
7162123152234222500
oct14446264460565265
92130485511010527
10442440230300341
11118a7a93667aa49
1241757a69b1a3b1
1315cb4c1c6a3350
147b38315772137
153623d4454a711
hex19265a4c2eab5

442440230300341 has 24 divisors (see below), whose sum is σ = 573378396244920. Its totient is φ = 337991475652992.

The previous prime is 442440230300339. The next prime is 442440230300479. The reversal of 442440230300341 is 143003032044244.

It can be written as a sum of positive squares in 4 ways, for example, as 70642932354225 + 371797297946116 = 8404935^2 + 19282046^2 .

It is not a de Polignac number, because 442440230300341 - 21 = 442440230300339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442440230300297 and 442440230300306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442440230310341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11975303086 + ... + 11975340031.

It is an arithmetic number, because the mean of its divisors is an integer number (23890766510205).

Almost surely, 2442440230300341 is an apocalyptic number.

It is an amenable number.

442440230300341 is a deficient number, since it is larger than the sum of its proper divisors (130938165944579).

442440230300341 is a wasteful number, since it uses less digits than its factorization.

442440230300341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23950643173 (or 23950643166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 442440230300341 its reverse (143003032044244), we get a palindrome (585443262344585).

The spelling of 442440230300341 in words is "four hundred forty-two trillion, four hundred forty billion, two hundred thirty million, three hundred thousand, three hundred forty-one".

Divisors: 1 7 13 29 49 91 203 377 637 1421 2639 18473 23950643117 167654501819 311358360521 694568650393 1173581512733 2179508523647 4861980552751 9029392455109 15256559665529 34033863869257 63205747185763 442440230300341