Search a number
-
+
441220022244 = 2232233851138373
BaseRepresentation
bin1100110101110101100…
…00110011111111100100
31120011212101022110101100
412122322300303333210
524212104311202434
6534405500200100
743606562210661
oct6327260637744
91504771273340
10441220022244
11160136222191
1271617839030
13327b73a5651
14174d87d2a68
15b725573699
hex66bac33fe4

441220022244 has 72 divisors (see below), whose sum is σ = 1164108359232. Its totient is φ = 140641300800.

The previous prime is 441220022183. The next prime is 441220022249. The reversal of 441220022244 is 442220022144.

441220022244 is a `hidden beast` number, since 4 + 412 + 2 + 0 + 0 + 2 + 2 + 244 = 666.

It is not an unprimeable number, because it can be changed into a prime (441220022249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3119442 + ... + 3257814.

It is an arithmetic number, because the mean of its divisors is an integer number (16168171656).

Almost surely, 2441220022244 is an apocalyptic number.

It is an amenable number.

441220022244 is an abundant number, since it is smaller than the sum of its proper divisors (722888336988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441220022244 is a wasteful number, since it uses less digits than its factorization.

441220022244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142257 (or 142252 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 441220022244 its reverse (442220022144), we get a palindrome (883440044388).

The spelling of 441220022244 in words is "four hundred forty-one billion, two hundred twenty million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 3851 7702 11553 15404 23106 34659 46212 69318 88573 138373 138636 177146 265719 276746 354292 415119 531438 553492 797157 830238 1062876 1245357 1594314 1660476 2490714 3182579 3188628 4981428 6365158 9547737 12730316 19095474 28643211 38190948 57286422 114572844 532874423 1065748846 1598623269 2131497692 3197246538 4795869807 6394493076 9591739614 12256111729 19183479228 24512223458 36768335187 49024446916 73536670374 110305005561 147073340748 220610011122 441220022244