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441242144 = 2571969831
BaseRepresentation
bin11010010011001…
…101001000100000
31010202021102102122
4122103031020200
51400424222034
6111441203412
713635332150
oct3223151040
91122242378
10441242144
11207084832
12103930568
1370551635
144285c760
1528b0d62e
hex1a4cd220

441242144 has 24 divisors (see below), whose sum is σ = 992795328. Its totient is φ = 189103680.

The previous prime is 441242107. The next prime is 441242147.

441242144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441242147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 984692 + ... + 985139.

It is an arithmetic number, because the mean of its divisors is an integer number (41366472).

Almost surely, 2441242144 is an apocalyptic number.

It is an amenable number.

441242144 is an abundant number, since it is smaller than the sum of its proper divisors (551553184).

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

441242144 is a wasteful number, since it uses less digits than its factorization.

441242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969848 (or 1969840 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 441242144 is about 21005.7645421441. The cubic root of 441242144 is about 761.3055491742.

The spelling of 441242144 in words is "four hundred forty-one million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1969831 3939662 7879324 13788817 15758648 27577634 31517296 55155268 63034592 110310536 220621072 441242144