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2422440442242 = 232134580024569
BaseRepresentation
bin100011010000000100101…
…100111011100110000010
322120120202001001210121100
4203100010230323212002
5304142124223122432
65052504225435230
7340005222005652
oct43200454734602
98516661053540
102422440442242
11854395527617
1233159a49bb16
13147587055bb2
14853650c4362
154302ea0607c
hex23404b3b982

2422440442242 has 12 divisors (see below), whose sum is σ = 5248620958230. Its totient is φ = 807480147408.

The previous prime is 2422440442241. The next prime is 2422440442271.

2422440442242 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 4 + 404 + 4 + 2 + 242 = 666.

2422440442242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1954966036401 + 467474405841 = 1398201^2 + 683721^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2422440442197 and 2422440442206.

It is not an unprimeable number, because it can be changed into a prime (2422440442241) 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 5 ways as a sum of consecutive naturals, for example, 67290012267 + ... + 67290012302.

Almost surely, 22422440442242 is an apocalyptic number.

2422440442242 is an abundant number, since it is smaller than the sum of its proper divisors (2826180515988).

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

2422440442242 is a wasteful number, since it uses less digits than its factorization.

2422440442242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134580024577 (or 134580024574 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 2422440 and 442242, that added together give a palindrome (2864682).

The spelling of 2422440442242 in words is "two trillion, four hundred twenty-two billion, four hundred forty million, four hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 134580024569 269160049138 403740073707 807480147414 1211220221121 2422440442242