Search a number
-
+
1481441841 = 3211210113469
BaseRepresentation
bin101100001001101…
…0000001000110001
310211020121001011100
41120103100020301
511013222114331
6403000235013
751466022265
oct13023201061
93736531140
101481441841
116a0265200
1235416ba69
131a7bc5209
14100a720a5
158a0d0ae6
hex584d0231

1481441841 has 36 divisors (see below), whose sum is σ = 2375542260. Its totient is φ = 888888000.

The previous prime is 1481441839. The next prime is 1481441867.

1481441841 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1230536241 + 250905600 = 35079^2 + 15840^2 .

It is not a de Polignac number, because 1481441841 - 21 = 1481441839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1481441796 and 1481441805.

It is not an unprimeable number, because it can be changed into a prime (1481441881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103255 + ... + 116723.

It is an arithmetic number, because the mean of its divisors is an integer number (65987285).

Almost surely, 21481441841 is an apocalyptic number.

1481441841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1481441841 is a deficient number, since it is larger than the sum of its proper divisors (894100419).

1481441841 is a wasteful number, since it uses less digits than its factorization.

1481441841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13584 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 1481441841 is about 38489.5029975706. The cubic root of 1481441841 is about 1139.9737967200.

The spelling of 1481441841 in words is "one billion, four hundred eighty-one million, four hundred forty-one thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 101 121 303 363 909 1089 1111 3333 9999 12221 13469 36663 40407 109989 121221 148159 444477 1333431 1360369 1629749 4081107 4889247 12243321 14667741 14964059 44892177 134676531 164604649 493813947 1481441841