Search a number
-
+
444298239860 = 225175441240169
BaseRepresentation
bin1100111011100100011…
…11010001111101110100
31120110210220112010010012
412131302033101331310
524234410322133420
6540035141115352
744046060504236
oct6356217217564
91513726463105
10444298239860
11161475856692
12721366b8b58
1332b88044ba7
141770b55a256
15b855917dc5
hex67723d1f74

444298239860 has 48 divisors (see below), whose sum is σ = 988095885840. Its totient is φ = 167233781760.

The previous prime is 444298239841. The next prime is 444298239881. The reversal of 444298239860 is 68932892444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 100496608144 + 343801631716 = 317012^2 + 586346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444298239860.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729856 + ... + 1970024.

It is an arithmetic number, because the mean of its divisors is an integer number (20585330955).

Almost surely, 2444298239860 is an apocalyptic number.

It is an amenable number.

444298239860 is an abundant number, since it is smaller than the sum of its proper divisors (543797645980).

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

444298239860 is a wasteful number, since it uses less digits than its factorization.

444298239860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245636 (or 245634 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 59.

The spelling of 444298239860 in words is "four hundred forty-four billion, two hundred ninety-eight million, two hundred thirty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 5441 10882 21764 27205 54410 92497 108820 184994 240169 369988 462485 480338 924970 960676 1200845 1849940 2401690 4082873 4803380 8165746 16331492 20414365 40828730 81657460 1306759529 2613519058 5227038116 6533797645 13067595290 22214911993 26135190580 44429823986 88859647972 111074559965 222149119930 444298239860