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142412414121 = 3234494587881
BaseRepresentation
bin1000010010100001110…
…0001111110010101001
3111121120222002012210100
42010220130033302221
54313130034222441
6145231240140013
713201053355425
oct2045034176251
9447528065710
10142412414121
115544010561a
1223725767609
1310577606283
146c6db9db85
153a878eacb6
hex212870fca9

142412414121 has 12 divisors (see below), whose sum is σ = 205766507700. Its totient is φ = 94914061440.

The previous prime is 142412414119. The next prime is 142412414143. The reversal of 142412414121 is 121414214241.

142412414121 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 241 + 412 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70299219600 + 72113194521 = 265140^2 + 268539^2 .

It is not a de Polignac number, because 142412414121 - 21 = 142412414119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142412414021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2262900 + ... + 2324981.

It is an arithmetic number, because the mean of its divisors is an integer number (17147208975).

Almost surely, 2142412414121 is an apocalyptic number.

It is an amenable number.

142412414121 is a deficient number, since it is larger than the sum of its proper divisors (63354093579).

142412414121 is a wasteful number, since it uses less digits than its factorization.

142412414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591336 (or 4591333 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 142412414121 its reverse (121414214241), we get a palindrome (263826628362).

The spelling of 142412414121 in words is "one hundred forty-two billion, four hundred twelve million, four hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 3449 10347 31041 4587881 13763643 41290929 15823601569 47470804707 142412414121