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405353243425242 = 23712775994233863
BaseRepresentation
bin101110000101010101010100…
…0000101010011100111011010
31222011020101120111012111220210
41130022222220011103213122
5411112301420304101432
63554040413112031550
7151244543152155150
oct13412525005234732
91864211514174823
10405353243425242
11108181388415932
12395682110925b6
1314524854144a68
1472152b75133d0
1531ce27c4cd8cc
hex170aaa81539da

405353243425242 has 32 divisors (see below), whose sum is σ = 933817145720832. Its totient is φ = 114903281599344.

The previous prime is 405353243425237. The next prime is 405353243425283. The reversal of 405353243425242 is 242524342353504.

It is a super-2 number, since 2×4053532434252422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405353243425191 and 405353243425200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37997111598 + ... + 37997122265.

It is an arithmetic number, because the mean of its divisors is an integer number (29181785803776).

Almost surely, 2405353243425242 is an apocalyptic number.

405353243425242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

405353243425242 is an abundant number, since it is smaller than the sum of its proper divisors (528463902295590).

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

405353243425242 is a wasteful number, since it uses less digits than its factorization.

405353243425242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75994234002.

The product of its (nonzero) digits is 13824000, while the sum is 48.

Adding to 405353243425242 its reverse (242524342353504), we get a palindrome (647877585778746).

The spelling of 405353243425242 in words is "four hundred five trillion, three hundred fifty-three billion, two hundred forty-three million, four hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 762 889 1778 2667 5334 75994233863 151988467726 227982701589 455965403178 531959637041 1063919274082 1595878911123 3191757822246 9651267700601 19302535401202 28953803101803 57907606203606 67558873904207 135117747808414 202676621712621 405353243425242