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4142420310 = 235722817973
BaseRepresentation
bin1111011011101000…
…0101000101010110
3101200200200202101110
43312322011011112
531440424422220
61523014235450
7204436664100
oct36672050526
911620622343
104142420310
111836319766
12977355b86
135102985a2
142b4228570
15193a08be0
hexf6e85156

4142420310 has 48 divisors (see below), whose sum is σ = 11564965296. Its totient is φ = 946838592.

The previous prime is 4142420309. The next prime is 4142420329. The reversal of 4142420310 is 130242414.

It is a super-2 number, since 2×41424203102 = 34319292049400992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1407517 + ... + 1410456.

It is an arithmetic number, because the mean of its divisors is an integer number (240936777).

Almost surely, 24142420310 is an apocalyptic number.

4142420310 is an abundant number, since it is smaller than the sum of its proper divisors (7422544986).

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

4142420310 is a wasteful number, since it uses less digits than its factorization.

4142420310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817997 (or 2817990 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4142420310 is about 64361.6369431356. The cubic root of 4142420310 is about 1606.0216203232.

Adding to 4142420310 its reverse (130242414), we get a palindrome (4272662724).

The spelling of 4142420310 in words is "four billion, one hundred forty-two million, four hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2817973 5635946 8453919 14089865 16907838 19725811 28179730 39451622 42269595 59177433 84539190 98629055 118354866 138080677 197258110 276161354 295887165 414242031 591774330 690403385 828484062 1380806770 2071210155 4142420310