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242424424242 = 2327111337794603
BaseRepresentation
bin1110000111000110011…
…1110010011100110010
3212011201222022201211100
43201301213302130302
512432441123033432
6303211312425230
723341334415030
oct3416147623462
9764658281740
10242424424242
11938a22a4040
123ab97548216
1319b2575c4a0
14ba3a669550
15648cc0907c
hex38719f2732

242424424242 has 384 divisors, whose sum is σ = 733622722560. Its totient is φ = 55824837120.

The previous prime is 242424424223. The next prime is 242424424259.

242424424242 is nontrivially palindromic in base 10.

242424424242 is a modest number, since divided by 424242 gives 242424 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 242424424197 and 242424424206.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52664313 + ... + 52668915.

It is an arithmetic number, because the mean of its divisors is an integer number (1910475840).

Almost surely, 2242424424242 is an apocalyptic number.

242424424242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242424424242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366811361280).

242424424242 is an abundant number, since it is smaller than the sum of its proper divisors (491198298318).

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

242424424242 is a wasteful number, since it uses less digits than its factorization.

242424424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4755 counting only the distinct ones).

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

It can be divided in two parts, 242424 and 424242, that added together give a palindrome (666666).

The spelling of 242424424242 in words is "two hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty-two".