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142041143013 = 37211471868987
BaseRepresentation
bin1000010001001001001…
…1111101011011100101
3111120122002110200120120
42010102103331123211
54311400013034023
6145130334352153
713155624536400
oct2042223753345
9446562420516
10142041143013
115526a5820a0
122364135b659
1310518713223
146c36756d37
153a6500e8e3
hex21124fd6e5

142041143013 has 48 divisors (see below), whose sum is σ = 245450456064. Its totient is φ = 72217619040.

The previous prime is 142041142979. The next prime is 142041143017. The reversal of 142041143013 is 310341140241.

142041143013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142041143013 - 214 = 142041126629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142041143017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858495 + ... + 1010492.

It is an arithmetic number, because the mean of its divisors is an integer number (5113551168).

Almost surely, 2142041143013 is an apocalyptic number.

It is an amenable number.

142041143013 is a deficient number, since it is larger than the sum of its proper divisors (103409313051).

142041143013 is a wasteful number, since it uses less digits than its factorization.

142041143013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869062 (or 1869055 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 142041143013 its reverse (310341140241), we get a palindrome (452382283254).

The spelling of 142041143013 in words is "one hundred forty-two billion, forty-one million, one hundred forty-three thousand, thirteen".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 517 539 987 1551 1617 2303 3619 6909 10857 25333 75999 1868987 5606961 13082909 20558857 39248727 61676571 87842389 91580363 143911999 263527167 274741089 431735997 614896723 966266279 1007383993 1844690169 2898798837 3022151979 4304277061 6763863953 12912831183 20291591859 47347047671 142041143013