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441412050441 = 37310158733997
BaseRepresentation
bin1100110110001100011…
…01010101111000001001
31120012100202122111112210
412123012031111320021
524213002441103231
6534440520055333
743614413343645
oct6330615257011
91505322574483
10441412050441
1116022465a87a
1271670004549
13328180cb2bb
14175160dbc25
15b737355a46
hex66c6355e09

441412050441 has 32 divisors (see below), whose sum is σ = 603562958208. Its totient is φ = 286871846400.

The previous prime is 441412050419. The next prime is 441412050449. The reversal of 441412050441 is 144050214144.

It is not a de Polignac number, because 441412050441 - 26 = 441412050377 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441412050399 and 441412050408.

It is not an unprimeable number, because it can be changed into a prime (441412050449) 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 31 ways as a sum of consecutive naturals, for example, 12966855 + ... + 13000851.

It is an arithmetic number, because the mean of its divisors is an integer number (18861342444).

Almost surely, 2441412050441 is an apocalyptic number.

It is an amenable number.

441412050441 is a deficient number, since it is larger than the sum of its proper divisors (162150907767).

441412050441 is a wasteful number, since it uses less digits than its factorization.

441412050441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34761.

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 441412050441 its reverse (144050214144), we get a palindrome (585462264585).

The spelling of 441412050441 in words is "four hundred forty-one billion, four hundred twelve million, fifty thousand, four hundred forty-one".

Divisors: 1 3 73 101 219 303 587 1761 7373 22119 33997 42851 59287 101991 128553 177861 2481781 3433697 4327951 7445343 10301091 12983853 19956239 59868717 250659881 751979643 1456805447 2015580139 4370416341 6046740417 147137350147 441412050441