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441113244 = 2231121323369
BaseRepresentation
bin11010010010101…
…101101010011100
31010202000212121120
4122102231222130
51400411110434
6111434330540
713634254305
oct3222555234
91122025546
10441113244
11206aa6a00
12103889a50
1370507a70
14428277ac
1528ad5349
hex1a4ada9c

441113244 has 72 divisors (see below), whose sum is σ = 1218418320. Its totient is φ = 123383040.

The previous prime is 441113243. The next prime is 441113249. The reversal of 441113244 is 442311144.

441113244 = 1312 + 1322 + ... + 10982.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441113243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7192 + ... + 30560.

Almost surely, 2441113244 is an apocalyptic number.

441113244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441113244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609209160).

441113244 is an abundant number, since it is smaller than the sum of its proper divisors (777305076).

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

441113244 is a wasteful number, since it uses less digits than its factorization.

441113244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23411 (or 23398 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 441113244 is about 21002.6961126423. The cubic root of 441113244 is about 761.2314085963.

Adding to 441113244 its reverse (442311144), we get a palindrome (883424388).

The spelling of 441113244 in words is "four hundred forty-one million, one hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 18876 23369 46738 70107 93476 140214 257059 280428 303797 514118 607594 771177 911391 1028236 1215188 1542354 1822782 2827649 3084708 3341767 3645564 5655298 6683534 8482947 10025301 11310596 13367068 16965894 20050602 33931788 36759437 40101204 73518874 110278311 147037748 220556622 441113244