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1042410320441 = 7236135888093
BaseRepresentation
bin11110010101101000111…
…11110011001000111001
310200122122100220221000222
433022310133303020321
5114034324020223231
62114513210505425
7135211620346100
oct17126437631071
93618570827028
101042410320441
113720a14a53a6
1214a039135275
13773b680b3c9
143864ab9d037
151c1aeb6227b
hexf2b47f3239

1042410320441 has 12 divisors (see below), whose sum is σ = 1212935587812. Its totient is φ = 893247108768.

The previous prime is 1042410320353. The next prime is 1042410320449. The reversal of 1042410320441 is 1440230142401.

It can be written as a sum of positive squares in 2 ways, for example, as 66098353216 + 976311967225 = 257096^2 + 988085^2 .

It is a de Polignac number, because none of the positive numbers 2k-1042410320441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1042410320441.

It is not an unprimeable number, because it can be changed into a prime (1042410320449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2767010 + ... + 3121083.

It is an arithmetic number, because the mean of its divisors is an integer number (101077965651).

Almost surely, 21042410320441 is an apocalyptic number.

It is an amenable number.

1042410320441 is a deficient number, since it is larger than the sum of its proper divisors (170525267371).

1042410320441 is an equidigital number, since it uses as much as digits as its factorization.

1042410320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891720 (or 5891713 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1042410320441 its reverse (1440230142401), we get a palindrome (2482640462842).

The spelling of 1042410320441 in words is "one trillion, forty-two billion, four hundred ten million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 49 3613 25291 177037 5888093 41216651 288516557 21273680009 148915760063 1042410320441