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442042244541 = 3517107006111
BaseRepresentation
bin1100110111010111100…
…01010101110110111101
31120020222200110200100000
412123223301111312331
524220300303311131
6535023231224513
743636135040352
oct6335361256675
91506880420300
10442042244541
11160518360a47
1271807078139
13328b8839311
1417575aa4629
15b772839ce6
hex66ebc55dbd

442042244541 has 24 divisors (see below), whose sum is σ = 701104045824. Its totient is φ = 277359837120.

The previous prime is 442042244521. The next prime is 442042244569. The reversal of 442042244541 is 145442240244.

442042244541 is a `hidden beast` number, since 4 + 4 + 204 + 2 + 2 + 445 + 4 + 1 = 666.

It is not a de Polignac number, because 442042244541 - 229 = 441505373629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442042244496 and 442042244505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442042244521) 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, 53498925 + ... + 53507186.

It is an arithmetic number, because the mean of its divisors is an integer number (29212668576).

Almost surely, 2442042244541 is an apocalyptic number.

It is an amenable number.

442042244541 is a deficient number, since it is larger than the sum of its proper divisors (259061801283).

442042244541 is a wasteful number, since it uses less digits than its factorization.

442042244541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107006143 (or 107006131 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 442042244541 its reverse (145442240244), we get a palindrome (587484484785).

The spelling of 442042244541 in words is "four hundred forty-two billion, forty-two million, two hundred forty-four thousand, five hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 107006111 321018333 963054999 1819103887 2889164997 5457311661 8667494991 16371934983 26002484973 49115804949 147347414847 442042244541