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242303404303242 = 23215942184438689
BaseRepresentation
bin110111000101111110101000…
…010101110110001110001010
31011202220222102212010110201100
4313011332220111312032022
5223224344333000200432
62215200351450002230
7102015562145041302
oct6705765025661612
91152828385113640
10242303404303242
117022932998a957
1223214033a16376
13a5281612bb009
1443b9793c9c602
151d02d0325007c
hexdc5fa857638a

242303404303242 has 24 divisors (see below), whose sum is σ = 524994008650020. Its totient is φ = 80767293845760.

The previous prime is 242303404303229. The next prime is 242303404303271.

242303404303242 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 3 + 404 + 3 + 0 + 3 + 242 = 666.

242303404303242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 186053719302801 + 56249685000441 = 13640151^2 + 7499979^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242303404303197 and 242303404303206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39349767 + ... + 45088922.

Almost surely, 2242303404303242 is an apocalyptic number.

242303404303242 is an abundant number, since it is smaller than the sum of its proper divisors (282690604346778).

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

242303404303242 is a wasteful number, since it uses less digits than its factorization.

242303404303242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84598118 (or 84598115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 24230340 and 4303242, that added together give a palindrome (28533582).

The spelling of 242303404303242 in words is "two hundred forty-two trillion, three hundred three billion, four hundred four million, three hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 159421 318842 478263 956526 1434789 2869578 84438689 168877378 253316067 506632134 759948201 1519896402 13461300239069 26922600478138 40383900717207 80767801434414 121151702151621 242303404303242