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441941412 = 223112326329
BaseRepresentation
bin11010010101110…
…111110110100100
31010210120221122110
4122111313312210
51401114111122
6111504201020
713644303633
oct3225676644
91123527573
10441941412
11207512140
12104009170
13707379c3
14429a151a
1528bea90c
hex1a577da4

441941412 has 72 divisors (see below), whose sum is σ = 1176164640. Its totient is φ = 128078720.

The previous prime is 441941407. The next prime is 441941443. The reversal of 441941412 is 214149144.

It is a self number, because there is not a number n which added to its sum of digits gives 441941412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66664 + ... + 72992.

It is an arithmetic number, because the mean of its divisors is an integer number (16335620).

Almost surely, 2441941412 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 441941412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588082320).

441941412 is an abundant number, since it is smaller than the sum of its proper divisors (734223228).

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

441941412 is a wasteful number, since it uses less digits than its factorization.

441941412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6368 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 441941412 is about 21022.4026219650. The cubic root of 441941412 is about 761.7075020415.

The spelling of 441941412 in words is "four hundred forty-one million, nine hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 2116 3036 3174 5819 6329 6348 11638 12658 17457 18987 23276 25316 34914 37974 69619 69828 75948 139238 145567 208857 278476 291134 417714 436701 582268 835428 873402 1601237 1746804 3202474 3348041 4803711 6404948 6696082 9607422 10044123 13392164 19214844 20088246 36828451 40176492 73656902 110485353 147313804 220970706 441941412