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44132122044 = 22325346749529
BaseRepresentation
bin101001000110011110…
…101011110110111100
311012220122101002022200
4221012132223312330
51210340310401134
632135104311500
73121430563563
oct510636536674
9135818332280
1044132122044
111779748353a
128677912590
1342141835aa
1421c92b4bda
151234659499
hexa467abdbc

44132122044 has 72 divisors (see below), whose sum is σ = 113906716560. Its totient is φ = 14401949952.

The previous prime is 44132122037. The next prime is 44132122081. The reversal of 44132122044 is 44022123144.

44132122044 is a `hidden beast` number, since 4 + 413 + 21 + 220 + 4 + 4 = 666.

It is a super-2 number, since 2×441321220442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44132121999 and 44132122017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866272 + ... + 915800.

It is an arithmetic number, because the mean of its divisors is an integer number (1582037730).

Almost surely, 244132122044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44132122044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56953358280).

44132122044 is an abundant number, since it is smaller than the sum of its proper divisors (69774594516).

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

44132122044 is a wasteful number, since it uses less digits than its factorization.

44132122044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50059 (or 50054 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44132122044 its reverse (44022123144), we get a palindrome (88154245188).

It can be divided in two parts, 44132 and 122044, that added together give a triangular number (166176 = T576).

The spelling of 44132122044 in words is "forty-four billion, one hundred thirty-two million, one hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 467 477 636 934 954 1401 1868 1908 2802 4203 5604 8406 16812 24751 49502 49529 74253 99004 99058 148506 148587 198116 222759 297012 297174 445518 445761 594348 891036 891522 1783044 2625037 5250074 7875111 10500148 15750222 23130043 23625333 31500444 46260086 47250666 69390129 92520172 94501332 138780258 208170387 277560516 416340774 832681548 1225892279 2451784558 3677676837 4903569116 7355353674 11033030511 14710707348 22066061022 44132122044