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1042420242401 = 4121063583367
BaseRepresentation
bin11110010101101010001…
…01101001011111100001
310200122200001121000101222
433022311011221133201
5114034334040224101
62114514203304425
7135212100602066
oct17126505513741
93618601530358
101042420242401
113720a706196a
1214a04051b115
13773b88a35a5
143864c222c6d
151c1b097201b
hexf2b51697e1

1042420242401 has 12 divisors (see below), whose sum is σ = 1069472220096. Its totient is φ = 1016036894880.

The previous prime is 1042420242349. The next prime is 1042420242419.

It is a happy number.

1042420242401 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1042420242401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1042420242421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495220 + ... + 2078586.

It is an arithmetic number, because the mean of its divisors is an integer number (89122685008).

Almost surely, 21042420242401 is an apocalyptic number.

It is an amenable number.

1042420242401 is a deficient number, since it is larger than the sum of its proper divisors (27051977695).

1042420242401 is an equidigital number, since it uses as much as digits as its factorization.

1042420242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584512 (or 584471 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 1042420 and 242401, that added together give a palindrome (1284821).

The spelling of 1042420242401 in words is "one trillion, forty-two billion, four hundred twenty million, two hundred forty-two thousand, four hundred one".

Divisors: 1 41 1063 1681 43583 583367 1786903 23918047 620119121 980639927 25424883961 1042420242401