Search a number
-
+
3022944330784 = 257172395336217
BaseRepresentation
bin101011111111010101100…
…001011110010000100000
3101200222202012002001020011
4223333111201132100200
5344011442222041114
610232415500054304
7431254243564540
oct53772541362040
911628665061204
103022944330784
11a660292a3024
12409a49b34394
1318c0a71ca3b1
14a6450253320
1553978c091c4
hex2bfd585e420

3022944330784 has 192 divisors, whose sum is σ = 7522931759616. Its totient is φ = 1165068140544.

The previous prime is 3022944330683. The next prime is 3022944330793. The reversal of 3022944330784 is 4870334492203.

3022944330784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30229443307842 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83449444 + ... + 83485660.

It is an arithmetic number, because the mean of its divisors is an integer number (39181936248).

Almost surely, 23022944330784 is an apocalyptic number.

3022944330784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022944330784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761465879808).

3022944330784 is an abundant number, since it is smaller than the sum of its proper divisors (4499987428832).

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

3022944330784 is a wasteful number, since it uses less digits than its factorization.

3022944330784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37227 (or 37219 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 3022944330784 in words is "three trillion, twenty-two billion, nine hundred forty-four million, three hundred thirty thousand, seven hundred eighty-four".