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142344443241 = 327111315800249
BaseRepresentation
bin1000010010010001100…
…0111101010101101001
3111121102020011221021100
42010210120331111221
54313010134140431
6145220411232013
713166266542540
oct2044430752551
9447366157240
10142344443241
1155405800040
1223706a48609
13105664c8210
146c64b49157
153a819714e6
hex212463d569

142344443241 has 48 divisors (see below), whose sum is σ = 276061968000. Its totient is φ = 68257071360.

The previous prime is 142344443237. The next prime is 142344443261.

142344443241 is a `hidden beast` number, since 142 + 3 + 4 + 44 + 432 + 41 = 666.

142344443241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142344443241 - 22 = 142344443237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142344443196 and 142344443205.

It is not an unprimeable number, because it can be changed into a prime (142344443201) 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 47 ways as a sum of consecutive naturals, for example, 7891116 + ... + 7909133.

It is an arithmetic number, because the mean of its divisors is an integer number (5751291000).

Almost surely, 2142344443241 is an apocalyptic number.

142344443241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142344443241 is a deficient number, since it is larger than the sum of its proper divisors (133717524759).

142344443241 is a wasteful number, since it uses less digits than its factorization.

142344443241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800286 (or 15800283 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 142344 and 443241, that added together give a palindrome (585585).

The spelling of 142344443241 in words is "one hundred forty-two billion, three hundred forty-four million, four hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 15800249 47400747 110601743 142202241 173802739 205403237 331805229 521408217 616209711 995415687 1216619173 1437822659 1564224651 1848629133 2259435607 3649857519 4313467977 6778306821 10949572557 12940403931 15816049249 20334920463 47448147747 142344443241