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442120041 = 321110741737
BaseRepresentation
bin11010010110100…
…011011101101001
31010210221000200100
4122112203131221
51401140320131
6111512100013
713645646466
oct3226433551
91123830610
10442120041
11207624370
12104094609
137079b0bc
1442a0a66d
1528c337e6
hex1a5a3769

442120041 has 24 divisors (see below), whose sum is σ = 703201824. Its totient is φ = 265440960.

The previous prime is 442119991. The next prime is 442120087. The reversal of 442120041 is 140021244.

442120041 is a `hidden beast` number, since 4 + 421 + 200 + 41 = 666.

It is not a de Polignac number, because 442120041 - 27 = 442119913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442119996 and 442120023.

It is not an unprimeable number, because it can be changed into a prime (442120841) 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, 10276 + ... + 31461.

It is an arithmetic number, because the mean of its divisors is an integer number (29300076).

Almost surely, 2442120041 is an apocalyptic number.

It is an amenable number.

442120041 is a deficient number, since it is larger than the sum of its proper divisors (261081783).

442120041 is a wasteful number, since it uses less digits than its factorization.

442120041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41861 (or 41858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442120041 is about 21026.6507318688. The cubic root of 442120041 is about 761.8101134722.

Adding to 442120041 its reverse (140021244), we get a palindrome (582141285).

The spelling of 442120041 in words is "four hundred forty-two million, one hundred twenty thousand, forty-one".

Divisors: 1 3 9 11 33 99 107 321 963 1177 3531 10593 41737 125211 375633 459107 1377321 4131963 4465859 13397577 40192731 49124449 147373347 442120041