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142412260446 = 23253223669413
BaseRepresentation
bin1000010010100001101…
…1101010010001011110
3111121120221210101222200
42010220123222101132
54313130014313241
6145231232552330
713201052145411
oct2045033522136
9447527711880
10142412260446
1155440010115
12237256b26a6
1310577581341
146c6db5db78
153a878ba4b6
hex21286ea45e

142412260446 has 48 divisors (see below), whose sum is σ = 315792038016. Its totient is φ = 46366152768.

The previous prime is 142412260409. The next prime is 142412260457. The reversal of 142412260446 is 644062214241.

142412260446 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 2 + 2 + 604 + 46 = 666.

It is a super-2 number, since 2×1424122604462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142412260446.

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, 121965 + ... + 547448.

It is an arithmetic number, because the mean of its divisors is an integer number (6579000792).

Almost surely, 2142412260446 is an apocalyptic number.

142412260446 is an abundant number, since it is smaller than the sum of its proper divisors (173379777570).

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

142412260446 is a wasteful number, since it uses less digits than its factorization.

142412260446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669697 (or 669694 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 142412260446 its reverse (644062214241), we get a palindrome (786474474687).

The spelling of 142412260446 in words is "one hundred forty-two billion, four hundred twelve million, two hundred sixty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 53 106 159 223 318 446 477 669 954 1338 2007 4014 11819 23638 35457 70914 106371 212742 669413 1338826 2008239 4016478 6024717 12049434 35478889 70957778 106436667 149279099 212873334 298558198 319310001 447837297 638620002 895674594 1343511891 2687023782 7911792247 15823584494 23735376741 47470753482 71206130223 142412260446