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242424424040 = 23531211941881
BaseRepresentation
bin1110000111000110011…
…1110010011001101000
3212011201222022201112212
43201301213302121220
512432441123032130
6303211312424252
723341334414321
oct3416147623150
9764658281485
10242424424040
11938a22a3977
123ab97548088
1319b2575c376
14ba3a669448
15648cc08e95
hex38719f2668

242424424040 has 32 divisors (see below), whose sum is σ = 545630004360. Its totient is φ = 96938649600.

The previous prime is 242424424003. The next prime is 242424424049. The reversal of 242424424040 is 40424424242.

242424424040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57426371044 + 184998052996 = 239638^2 + 430114^2 .

It is a super-2 number, since 2×2424244240402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242424423988 and 242424424006.

It is not an unprimeable number, because it can be changed into a prime (242424424049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846101 + ... + 1095780.

Almost surely, 2242424424040 is an apocalyptic number.

242424424040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424424040 is an abundant number, since it is smaller than the sum of its proper divisors (303205580320).

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

242424424040 is a wasteful number, since it uses less digits than its factorization.

242424424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945013 (or 1945009 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 242424424040 its reverse (40424424242), we get a palindrome (282848848282).

The spelling of 242424424040 in words is "two hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3121 6242 12484 15605 24968 31210 62420 124840 1941881 3883762 7767524 9709405 15535048 19418810 38837620 77675240 6060610601 12121221202 24242442404 30303053005 48484884808 60606106010 121212212020 242424424040