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142425202524241 = 7213627733561841
BaseRepresentation
bin100000011000100011110011…
…100110101000000001010001
3200200021201100020122122101211
4200120203303212220001101
5122131443303321233431
61222525122413500121
741666611201436200
oct4030436346500121
9620251306578354
10142425202524241
114142120989795a
1213b82b601a1641
13616183ca78830
1427255b9165237
15116ec1673c2b1
hex8188f39a8051

142425202524241 has 24 divisors (see below), whose sum is σ = 178425673626984. Its totient is φ = 112686245521920.

The previous prime is 142425202524173. The next prime is 142425202524257.

142425202524241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 155867040000 + 142269335484241 = 394800^2 + 11927671^2 .

It is not a de Polignac number, because 142425202524241 - 221 = 142425200427089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142425202524194 and 142425202524203.

It is not an unprimeable number, because it can be changed into a prime (142425202521241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38205481 + ... + 41767321.

It is an arithmetic number, because the mean of its divisors is an integer number (7434403067791).

Almost surely, 2142425202524241 is an apocalyptic number.

It is an amenable number.

142425202524241 is a deficient number, since it is larger than the sum of its proper divisors (36000471102743).

142425202524241 is a wasteful number, since it uses less digits than its factorization.

142425202524241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624641 (or 3624634 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

It can be divided in two parts, 14242520 and 2524241, that added together give a palindrome (16766761).

The spelling of 142425202524241 in words is "one hundred forty-two trillion, four hundred twenty-five billion, two hundred two million, five hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 7 13 49 91 637 62773 439411 816049 3075877 3561841 5712343 24932887 39986401 46303933 174530209 324127531 2268892717 223587445093 1565112115651 2906636786209 10955784809557 20346457503463 142425202524241