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242424222440 = 2356469936869
BaseRepresentation
bin1110000111000110011…
…1000001001011101000
3212011201221221111000012
43201301213001023220
512432441100104230
6303211304231052
723341332614501
oct3416147011350
9764657844005
10242424222440
11938a2176464
123ab9746b488
1319b256bb68a
14ba3a615ba8
15648cbb9395
hex38719c12e8

242424222440 has 32 divisors (see below), whose sum is σ = 545539401000. Its totient is φ = 96954595584.

The previous prime is 242424222437. The next prime is 242424222461. The reversal of 242424222440 is 44222424242.

It can be written as a sum of positive squares in 4 ways, for example, as 106105244644 + 136318977796 = 325738^2 + 369214^2 .

It is a super-3 number, since 3×2424242224403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242424222397 and 242424222406.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 209675 + ... + 727194.

Almost surely, 2242424222440 is an apocalyptic number.

242424222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424222440 is an abundant number, since it is smaller than the sum of its proper divisors (303115178560).

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

242424222440 is a wasteful number, since it uses less digits than its factorization.

242424222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943349 (or 943345 counting only the distinct ones).

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

Adding to 242424222440 its reverse (44222424242), we get a palindrome (286646646682).

The spelling of 242424222440 in words is "two hundred forty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6469 12938 25876 32345 51752 64690 129380 258760 936869 1873738 3747476 4684345 7494952 9368690 18737380 37474760 6060605561 12121211122 24242422244 30303027805 48484844488 60606055610 121212111220 242424222440