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441141012 = 2233131923719
BaseRepresentation
bin11010010010110…
…100011100010100
31010202002021201000
4122102310130110
51400413003022
6111435103300
713634431254
oct3222643424
91122067630
10441141012
11207015854
121038a1b30
13705175b0
1442833964
1528add6ac
hex1a4b4714

441141012 has 192 divisors, whose sum is σ = 1354752000. Its totient is φ = 122829696.

The previous prime is 441140969. The next prime is 441141037. The reversal of 441141012 is 210141144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613189 + ... + 613907.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2441141012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

441141012 is an abundant number, since it is smaller than the sum of its proper divisors (913610988).

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

441141012 is a wasteful number, since it uses less digits than its factorization.

441141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 441141012 is about 21003.3571602256. The cubic root of 441141012 is about 761.2473813883.

Adding to 441141012 its reverse (210141144), we get a palindrome (651282156).

The spelling of 441141012 in words is "four hundred forty-one million, one hundred forty-one thousand, twelve".