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441242433220 = 225145371517653
BaseRepresentation
bin1100110101111000001…
…10010011011011000100
31120011220221111001110111
412122330012103123010
524212131030330340
6534412020402404
743610253541051
oct6327406233304
91504827431414
10441242433220
11160147939956
1271623246404
13327bbc21294
14174db788028
15b7274edaea
hex66bc1936c4

441242433220 has 24 divisors (see below), whose sum is σ = 926673461784. Its totient is φ = 176484715776.

The previous prime is 441242433173. The next prime is 441242433227. The reversal of 441242433220 is 22334242144.

It can be written as a sum of positive squares in 4 ways, for example, as 12835530436 + 428406902784 = 113294^2 + 654528^2 .

It is not an unprimeable number, because it can be changed into a prime (441242433227) by changing a digit.

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, 468087 + ... + 1049566.

It is an arithmetic number, because the mean of its divisors is an integer number (38611394241).

Almost surely, 2441242433220 is an apocalyptic number.

It is an amenable number.

441242433220 is an abundant number, since it is smaller than the sum of its proper divisors (485431028564).

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

441242433220 is a wasteful number, since it uses less digits than its factorization.

441242433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532199 (or 1532197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 441242433220 its reverse (22334242144), we get a palindrome (463576675364).

The spelling of 441242433220 in words is "four hundred forty-one billion, two hundred forty-two million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 14537 29074 58148 72685 145370 290740 1517653 3035306 6070612 7588265 15176530 30353060 22062121661 44124243322 88248486644 110310608305 220621216610 441242433220