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142422242224241 = 7101493740803299
BaseRepresentation
bin100000011000100001000011…
…001001111110100001110001
3200200021102200221022211020002
4200120201003021332201301
5122131421223002133431
61222523512544155345
741666444634342020
oct4030410311764161
9620242627284202
10142422242224241
114141aa2a882731
1213b82474908b55
13616148a684425
1427253b7d348b7
15116eae18db3cb
hex81884327e871

142422242224241 has 16 divisors (see below), whose sum is σ = 164413143446400. Its totient is φ = 120843047356800.

The previous prime is 142422242224201. The next prime is 142422242224261.

142422242224241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-142422242224241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142422242224195 and 142422242224204.

It is not an unprimeable number, because it can be changed into a prime (142422242224201) 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 15 ways as a sum of consecutive naturals, for example, 16911191 + ... + 23892108.

It is an arithmetic number, because the mean of its divisors is an integer number (10275821465400).

Almost surely, 2142422242224241 is an apocalyptic number.

It is an amenable number.

142422242224241 is a deficient number, since it is larger than the sum of its proper divisors (21990901222159).

142422242224241 is a wasteful number, since it uses less digits than its factorization.

142422242224241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40808344.

The product of its digits is 262144, while the sum is 38.

The spelling of 142422242224241 in words is "one hundred forty-two trillion, four hundred twenty-two billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 7 101 707 4937 34559 498637 3490459 40803299 285623093 4121133199 28847932393 201445887163 1410121210141 20346034603463 142422242224241