Search a number
-
+
44442104132223 = 3372912236629921
BaseRepresentation
bin10100001101011011110111…
…10101000111001001111111
312211100121211122112121112000
422012231323311013021333
521311114412124212343
6234304230520113343
712234556525136010
oct1206557365071177
9184317748477460
1044442104132223
11131848771a7826
124b99216905853
131ba4b4598a725
14ad901b7cd007
15521093b88ed3
hex286b7bd4727f

44442104132223 has 64 divisors (see below), whose sum is σ = 77904235468800. Its totient is φ = 24499729013760.

The previous prime is 44442104132189. The next prime is 44442104132227. The reversal of 44442104132223 is 32223140124444.

44442104132223 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 2 + 10 + 413 + 2 + 223 = 666.

It is a de Polignac number, because none of the positive numbers 2k-44442104132223 is a prime.

It is a super-3 number, since 3×444421041322233 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442104132227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388303 + ... + 10018223.

It is an arithmetic number, because the mean of its divisors is an integer number (1217253679200).

Almost surely, 244442104132223 is an apocalyptic number.

44442104132223 is a deficient number, since it is larger than the sum of its proper divisors (33462131336577).

44442104132223 is a wasteful number, since it uses less digits than its factorization.

44442104132223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631189 (or 6631183 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44442104132223 its reverse (32223140124444), we get a palindrome (76665244256667).

The spelling of 44442104132223 in words is "forty-four trillion, four hundred forty-two billion, one hundred four million, one hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1223 1827 3669 5481 8561 11007 25683 33021 35467 77049 106401 231147 248269 319203 744807 957609 2234421 6629921 6703263 19889763 46409447 59669289 139228341 179007867 192267709 417685023 576803127 1253055069 1345873963 1730409381 4037621889 5191228143 8108393383 12112865667 24325180149 36338597001 56758753681 72975540447 170276261043 218926621341 235143408107 510828783129 705430224321 1532486349387 1646003856749 2116290672963 4938011570247 6348872018889 14814034710741 44442104132223