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4420444440244 = 22773137115313691
BaseRepresentation
bin100000001010011011100…
…0001010100011010110100
3120122120221101002020120111
41000110313001110122310
51034411032234041434
613222420225312404
7634236506533150
oct100246701243264
916576841066514
104420444440244
111454777711578
125b4865a95704
13260accc128a1
14113d4483a060
1579ebc660964
hex405370546b4

4420444440244 has 96 divisors (see below), whose sum is σ = 9035902423296. Its totient is φ = 1853141483520.

The previous prime is 4420444440227. The next prime is 4420444440253.

4420444440244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4420444440197 and 4420444440206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322865439 + ... + 322879129.

It is an arithmetic number, because the mean of its divisors is an integer number (94123983576).

Almost surely, 24420444440244 is an apocalyptic number.

It is an amenable number.

4420444440244 is an abundant number, since it is smaller than the sum of its proper divisors (4615457983052).

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

4420444440244 is a wasteful number, since it uses less digits than its factorization.

4420444440244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15065 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

The spelling of 4420444440244 in words is "four trillion, four hundred twenty billion, four hundred forty-four million, four hundred forty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 73 137 146 274 292 511 548 959 1022 1153 1918 2044 2306 3836 4612 8071 10001 13691 16142 20002 27382 32284 40004 54764 70007 84169 95837 140014 157961 168338 191674 280028 315922 336676 383348 589183 631844 999443 1105727 1178366 1875667 1998886 2211454 2356732 3751334 3997772 4422908 6996101 7502668 11531153 13129669 13992202 15785723 23062306 26259338 27984404 31571446 46124612 52518676 63142892 80718071 110500061 136923691 161436142 221000122 273847382 322872284 442000244 547694764 958465837 1152357779 1916931674 2162644051 2304715558 3833863348 4325288102 4609431116 8066504453 8650576204 15138508357 16133008906 30277016714 32266017812 60554033428 157873015723 315746031446 631492062892 1105111110061 2210222220122 4420444440244