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2444040444 = 22323103149577
BaseRepresentation
bin1001000110101101…
…0001100011111100
320022022220010012110
42101223101203330
520001133243234
61042304134020
7114365000226
oct22153214374
96268803173
102444040444
11104466283a
12582607310
132cc4685a1
14192845416
15e48751e9
hex91ad18fc

2444040444 has 96 divisors (see below), whose sum is σ = 6059289600. Its totient is φ = 765186048.

The previous prime is 2444040437. The next prime is 2444040449. The reversal of 2444040444 is 4440404442.

2444040444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444040449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4235484 + ... + 4236060.

It is an arithmetic number, because the mean of its divisors is an integer number (63117600).

Almost surely, 22444040444 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 2444040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029644800).

2444040444 is an abundant number, since it is smaller than the sum of its proper divisors (3615249156).

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

2444040444 is a wasteful number, since it uses less digits than its factorization.

2444040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 2444040444 is about 49437.2374228172. The cubic root of 2444040444 is about 1347.0057908414.

Adding to 2444040444 its reverse (4440404442), we get a palindrome (6884444886).

It can be divided in two parts, 2 and 444040444, that multiplied together give a palindrome (888080888).

The spelling of 2444040444 in words is "two billion, four hundred forty-four million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 149 206 276 298 309 412 447 577 596 618 894 1154 1236 1731 1788 2308 2369 3427 3462 4738 6854 6924 7107 9476 10281 13271 13708 14214 15347 20562 26542 28428 30694 39813 41124 46041 53084 59431 61388 79626 85973 92082 118862 159252 171946 178293 184164 237724 257919 343892 352981 356586 515838 705962 713172 1031676 1058943 1366913 1411924 1977379 2117886 2733826 3954758 4100739 4235772 5467652 5932137 7909516 8201478 8855219 11864274 16402956 17710438 23728548 26565657 35420876 53131314 106262628 203670037 407340074 611010111 814680148 1222020222 2444040444