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1441341330 = 23511131917683
BaseRepresentation
bin101010111101001…
…0001111110010010
310201110010201121020
41111322101332102
510422440410310
6355004540310
750501125212
oct12572217622
93643121536
101441341330
1167a666090
12342851696
1319c7c49c0
14d95d4242
158680e170
hex55e91f92

1441341330 has 128 divisors (see below), whose sum is σ = 4278113280. Its totient is φ = 305544960.

The previous prime is 1441341313. The next prime is 1441341331. The reversal of 1441341330 is 331431441.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1441341330.

It is not an unprimeable number, because it can be changed into a prime (1441341331) 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 63 ways as a sum of consecutive naturals, for example, 72669 + ... + 90351.

It is an arithmetic number, because the mean of its divisors is an integer number (33422760).

Almost surely, 21441341330 is an apocalyptic number.

1441341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139056640).

1441341330 is an abundant number, since it is smaller than the sum of its proper divisors (2836771950).

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

1441341330 is a wasteful number, since it uses less digits than its factorization.

1441341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1441341330 is about 37965.0013828526. The cubic root of 1441341330 is about 1129.5937480302.

Adding to 1441341330 its reverse (331431441), we get a palindrome (1772772771).

The spelling of 1441341330 in words is "one billion, four hundred forty-one million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 2090 2145 2470 2717 3135 3705 4290 5434 6270 7410 8151 13585 16302 17683 27170 35366 40755 53049 81510 88415 106098 176830 194513 229879 265245 335977 389026 459758 530490 583539 671954 689637 972565 1007931 1149395 1167078 1379274 1679885 1945130 2015862 2298790 2528669 2917695 3359770 3448185 3695747 4367701 5039655 5057338 5835390 6896370 7391494 7586007 8735402 10079310 11087241 12643345 13103103 15172014 18478735 21838505 22174482 25286690 26206206 36957470 37930035 43677010 48044711 55436205 65515515 75860070 96089422 110872410 131031030 144134133 240223555 288268266 480447110 720670665 1441341330