Search a number
-
+
44844048048 = 2431618957709
BaseRepresentation
bin101001110000111010…
…011101111010110000
311021202020222200012110
4221300322131322300
51213320034014143
632333455325320
73145164055602
oct516072357260
9137666880173
1044844048048
1118022329038
128836220840
1342c880a097
142255a75172
151276dd5533
hexa70e9deb0

44844048048 has 40 divisors (see below), whose sum is σ = 115856287600. Its totient is φ = 14946833664.

The previous prime is 44844048019. The next prime is 44844048091. The reversal of 44844048048 is 84084044844.

It is a super-2 number, since 2×448440480482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44844047988 and 44844048006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748218 + ... + 805926.

It is an arithmetic number, because the mean of its divisors is an integer number (2896407190).

Almost surely, 244844048048 is an apocalyptic number.

44844048048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44844048048 is an abundant number, since it is smaller than the sum of its proper divisors (71012239552).

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

44844048048 is a wasteful number, since it uses less digits than its factorization.

44844048048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73909 (or 73903 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 44844048048 in words is "forty-four billion, eight hundred forty-four million, forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 16189 32378 48567 57709 64756 97134 115418 129512 173127 194268 230836 259024 346254 388536 461672 692508 777072 923344 1385016 2770032 934251001 1868502002 2802753003 3737004004 5605506006 7474008008 11211012012 14948016016 22422024024 44844048048