Search a number
-
+
4244444243104 = 2513231877236339
BaseRepresentation
bin111101110000111100100…
…101110110010010100000
3120000202122121122212100111
4331300330211312102200
51024020110211234404
613005512030301104
7615436166535652
oct75607445662240
916022577585314
104244444243104
11139707113949a
12586727957794
1324a331b510c0
14109609d426d2
157561b18e104
hex3dc3c9764a0

4244444243104 has 96 divisors (see below), whose sum is σ = 9395343135360. Its totient is φ = 1872795251712.

The previous prime is 4244444243093. The next prime is 4244444243113. The reversal of 4244444243104 is 4013424444424.

4244444243104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17840967 + ... + 18077305.

It is an arithmetic number, because the mean of its divisors is an integer number (97868157660).

Almost surely, 24244444243104 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 4244444243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697671567680).

4244444243104 is an abundant number, since it is smaller than the sum of its proper divisors (5150898892256).

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

4244444243104 is a wasteful number, since it uses less digits than its factorization.

4244444243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238262 (or 238254 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 4244444243104 its reverse (4013424444424), we get a palindrome (8257868687528).

The spelling of 4244444243104 in words is "four trillion, two hundred forty-four billion, four hundred forty-four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1877 2392 3754 4784 7508 9568 15016 24401 30032 43171 48802 60064 86342 97604 172684 195208 236339 345368 390416 472678 561223 690736 780832 945356 1122446 1381472 1890712 2244892 3072407 3781424 4489784 5435797 6144814 7562848 8979568 10871594 12289628 17959136 21743188 24579256 43486376 49158512 70665361 86972752 98317024 141330722 173945504 282661444 443608303 565322888 887216606 1130645776 1774433212 2261291552 3548866424 5766907939 7097732848 10202990969 11533815878 14195465696 20405981938 23067631756 40811963876 46135263512 81623927752 92270527024 132638882597 163247855504 184541054048 265277765194 326495711008 530555530388 1061111060776 2122222121552 4244444243104