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44224422442244 = 22112534943348779
BaseRepresentation
bin10100000111000110011001…
…11111010111010100000100
312210120210222001001000020222
422003203030333113110010
521244033104121122434
6234020230314043512
712213052262246312
oct1203431477272404
9183523861030228
1044224422442244
11131005215a4200
124b62ba5719598
131b8a464379c05
14acc68b29d0b2
1551a5a328572e
hex2838ccfd7504

44224422442244 has 72 divisors (see below), whose sum is σ = 86690892919680. Its totient is φ = 19718680421440.

The previous prime is 44224422442229. The next prime is 44224422442247.

44224422442244 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44224422442195 and 44224422442204.

It is not an unprimeable number, because it can be changed into a prime (44224422442247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126623447 + ... + 126972225.

It is an arithmetic number, because the mean of its divisors is an integer number (1204040179440).

Almost surely, 244224422442244 is an apocalyptic number.

44224422442244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44224422442244 is a deficient number, since it is larger than the sum of its proper divisors (42466470477436).

44224422442244 is a wasteful number, since it uses less digits than its factorization.

44224422442244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353801 (or 353788 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 44.

It can be divided in two parts, 4422442 and 2442244, that added together give a palindrome (6864686).

The spelling of 44224422442244 in words is "forty-four trillion, two hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 484 583 1166 2332 4943 6413 9886 12826 19772 25652 54373 108746 217492 261979 348779 523958 598103 697558 1047916 1196206 1395116 2392412 2881769 3836569 5763538 7673138 11527076 15346276 18485287 31699459 36970574 42202259 63398918 73941148 84404518 126797836 168809036 203338157 406676314 813352628 1724014597 2236719727 3448029194 4473439454 6896058388 8946878908 18964160567 37928321134 75856642268 91372773641 182745547282 208605766237 365491094564 417211532474 834423064948 1005100510051 2010201020102 4020402040204 11056105610561 22112211221122 44224422442244