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44205344350244 = 22711532707997081
BaseRepresentation
bin10100000110100010110111…
…10110001110000000100100
312210111222201110020112000222
422003101123312032000210
521243230021123201434
6234003353240223512
712211505433164660
oct1203213366160044
9183458643215028
1044205344350244
11130a3421500320
124b5b36046ab98
131b8871399968c
14acb79b5d78a0
15519d3842272e
hex28345bd8e024

44205344350244 has 48 divisors (see below), whose sum is σ = 98267798111616. Its totient is φ = 16897901779200.

The previous prime is 44205344350199. The next prime is 44205344350283.

44205344350244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442053443502442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44205344350195 and 44205344350204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1353982217 + ... + 1354014864.

It is an arithmetic number, because the mean of its divisors is an integer number (2047245793992).

Almost surely, 244205344350244 is an apocalyptic number.

44205344350244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44205344350244 is an abundant number, since it is smaller than the sum of its proper divisors (54062453761372).

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

44205344350244 is a wasteful number, since it uses less digits than its factorization.

44205344350244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707997156 (or 2707997154 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

It can be divided in two parts, 4420534 and 4350244, that added together give a palindrome (8770778).

The spelling of 44205344350244 in words is "forty-four trillion, two hundred five billion, three hundred forty-four million, three hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1484 2332 4081 8162 16324 2707997081 5415994162 10831988324 18955979567 29787967891 37911959134 59575935782 75823918268 119151871564 143523845293 208515775237 287047690586 417031550474 574095381172 834063100948 1004666917051 1578762298223 2009333834102 3157524596446 4018667668204 6315049192892 11051336087561 22102672175122 44205344350244