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441621414 = 2321341191241
BaseRepresentation
bin11010010100101…
…001101110100110
31010202222200200200
4122110221232212
51401023341124
6111453251330
713641501663
oct3224515646
91122880620
10441621414
11207313783
12103a93b46
1370655160
144291aa6a
1528b85bc9
hex1a529ba6

441621414 has 96 divisors (see below), whose sum is σ = 1065512448. Its totient is φ = 131328000.

The previous prime is 441621361. The next prime is 441621451. The reversal of 441621414 is 414126144.

441621414 is a `hidden beast` number, since 441 + 6 + 214 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1832334 + ... + 1832574.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2441621414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441621414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532756224).

441621414 is an abundant number, since it is smaller than the sum of its proper divisors (623891034).

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

441621414 is a wasteful number, since it uses less digits than its factorization.

441621414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 441621414 is about 21014.7903629801. The cubic root of 441621414 is about 761.5236136165.

Adding to 441621414 its reverse (414126144), we get a palindrome (855747558).

The spelling of 441621414 in words is "four hundred forty-one million, six hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 191 234 241 246 369 382 482 533 573 723 738 1066 1146 1446 1599 1719 2169 2483 3133 3198 3438 4338 4797 4966 6266 7449 7831 9399 9594 9881 14898 15662 18798 19762 22347 23493 28197 29643 44694 46031 46986 56394 59286 70479 88929 92062 101803 128453 138093 140958 177858 203606 256906 276186 305409 385359 414279 598403 610818 770718 828558 916227 1156077 1196806 1795209 1832454 1887271 2312154 3590418 3774542 5385627 5661813 10771254 11323626 16985439 24534523 33970878 49069046 73603569 147207138 220810707 441621414