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2442240422442 = 2324310131241083
BaseRepresentation
bin100011100010100000110…
…111110111001000101010
322122110211221020000021100
4203202200313313020222
5310003202022004232
65105541052022230
7341305665033522
oct43424067671052
98573757200240
102442240422442
1186182605a817
123353a5461976
131493c116a502
14862c29c0682
15437dce11c7c
hex238a0df722a

2442240422442 has 48 divisors (see below), whose sum is σ = 5468189414688. Its totient is φ = 787275266400.

The previous prime is 2442240422311. The next prime is 2442240422443.

2442240422442 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 2 + 404 + 2 + 244 + 2 = 666.

2442240422442 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2442240422397 and 2442240422406.

It is not an unprimeable number, because it can be changed into a prime (2442240422443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15542368 + ... + 15698715.

It is an arithmetic number, because the mean of its divisors is an integer number (113920612806).

Almost surely, 22442240422442 is an apocalyptic number.

2442240422442 is an abundant number, since it is smaller than the sum of its proper divisors (3025948992246).

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

2442240422442 is a wasteful number, since it uses less digits than its factorization.

2442240422442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31241235 (or 31241232 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, 2442240 and 422442, that added together give a palindrome (2864682).

The spelling of 2442240422442 in words is "two trillion, four hundred forty-two billion, two hundred forty million, four hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 101 129 202 258 303 387 606 774 909 1818 4343 8686 13029 26058 39087 78174 31241083 62482166 93723249 187446498 281169747 562339494 1343366569 2686733138 3155349383 4030099707 6310698766 8060199414 9466048149 12090299121 18932096298 24180598242 28398144447 56796288894 135680023469 271360046938 407040070407 814080140814 1221120211221 2442240422442