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1441604444 = 227412515003
BaseRepresentation
bin101010111101101…
…0010001101011100
310201110122002112012
41111323102031130
510423022320234
6355014330352
750503302260
oct12573221534
93643562465
101441604444
1167a825835
123429599b8
1319c8876a7
14d96620a0
15868620ce
hex55ed235c

1441604444 has 48 divisors (see below), whose sum is σ = 2965890816. Its totient is φ = 600240000.

The previous prime is 1441604431. The next prime is 1441604447. The reversal of 1441604444 is 4444061441.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1441604444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441604447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 285647 + ... + 290649.

It is an arithmetic number, because the mean of its divisors is an integer number (61789392).

Almost surely, 21441604444 is an apocalyptic number.

1441604444 is a gapful number since it is divisible by the number (14) 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 1441604444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482945408).

1441604444 is an abundant number, since it is smaller than the sum of its proper divisors (1524286372).

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

1441604444 is a wasteful number, since it uses less digits than its factorization.

1441604444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 1441604444 is about 37968.4664425626. The cubic root of 1441604444 is about 1129.6624788806.

Adding to 1441604444 its reverse (4444061441), we get a palindrome (5885665885).

The spelling of 1441604444 in words is "one billion, four hundred forty-one million, six hundred four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 251 287 502 574 1004 1148 1757 3514 5003 7028 10006 10291 20012 20582 35021 41164 70042 72037 140084 144074 205123 288148 410246 820492 1255753 1435861 2511506 2871722 5023012 5743444 8790271 17580542 35161084 51485873 102971746 205943492 360401111 720802222 1441604444