Search a number
-
+
442110443121 = 3273370799467
BaseRepresentation
bin1100110111011111101…
…01011111111001110001
31120021011102210112012100
412123233311133321301
524220420233134441
6535034105051013
743640623522134
oct6335765377161
91507142715170
10442110443121
11160552901606
1271825a86a69
13328c99c6bc9
1417580b7821b
15b77880bcb6
hex66efd5fe71

442110443121 has 24 divisors (see below), whose sum is σ = 639633084480. Its totient is φ = 294265528416.

The previous prime is 442110443087. The next prime is 442110443123. The reversal of 442110443121 is 121344011244.

442110443121 is a `hidden beast` number, since 4 + 4 + 211 + 0 + 443 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 442110443121 - 215 = 442110410353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442110443123) 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, 46695430 + ... + 46704896.

It is an arithmetic number, because the mean of its divisors is an integer number (26651378520).

Almost surely, 2442110443121 is an apocalyptic number.

It is an amenable number.

442110443121 is a deficient number, since it is larger than the sum of its proper divisors (197522641359).

442110443121 is a wasteful number, since it uses less digits than its factorization.

442110443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17285 (or 17282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 442110443121 its reverse (121344011244), we get a palindrome (563454454365).

The spelling of 442110443121 in words is "four hundred forty-two billion, one hundred ten million, four hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 733 2199 6597 7079 9467 21237 28401 63711 85203 5188907 6939311 15566721 20817933 46700163 62453799 67016893 201050679 603152037 49123382569 147370147707 442110443121