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1304334404241 = 311791605731159
BaseRepresentation
bin10010111110110000011…
…000111000101010010001
311121200201022022000001120
4102332300120320222101
5132332234101413431
62435111500552453
7163143423335421
oct22766030705221
94550638260046
101304334404241
1146318a849260
12190956b52729
1395cc90a148b
14471b70aa481
1523dde703196
hex12fb0638a91

1304334404241 has 32 divisors (see below), whose sum is σ = 1921410355200. Its totient is φ = 780425642880.

The previous prime is 1304334404239. The next prime is 1304334404273. The reversal of 1304334404241 is 1424044334031.

It is not a de Polignac number, because 1304334404241 - 21 = 1304334404239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1304334404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41845020 + ... + 41876178.

It is an arithmetic number, because the mean of its divisors is an integer number (60044073600).

Almost surely, 21304334404241 is an apocalyptic number.

1304334404241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1304334404241 is a deficient number, since it is larger than the sum of its proper divisors (617075950959).

1304334404241 is a wasteful number, since it uses less digits than its factorization.

1304334404241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47309.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1304334404241 its reverse (1424044334031), we get a palindrome (2728378738272).

The spelling of 1304334404241 in words is "one trillion, three hundred four billion, three hundred thirty-four million, four hundred four thousand, two hundred forty-one".

Divisors: 1 3 11 33 79 237 869 2607 16057 31159 48171 93477 176627 342749 529881 1028247 1268503 2461561 3805509 7384683 13953533 27077171 41860599 81231513 500320063 1500960189 5503520693 16510562079 39525284977 118575854931 434778134747 1304334404241