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142515240017 = 312107212953
BaseRepresentation
bin1000010010111010010…
…0011111110001010001
3111121212010120022101212
42010232210133301101
54313332400140032
6145245352105505
713203442360403
oct2045644376121
9447763508355
10142515240017
11554931571a7
1223754095295
13105929c90b7
146c7d6c8b73
153a9195cbb2
hex212e91fc51

142515240017 has 18 divisors (see below), whose sum is σ = 148661412354. Its totient is φ = 136618473120.

The previous prime is 142515240013. The next prime is 142515240019. The reversal of 142515240017 is 710042515241.

It can be written as a sum of positive squares in only one way, i.e., 93125066896 + 49390173121 = 305164^2 + 222239^2 .

It is not a de Polignac number, because 142515240017 - 22 = 142515240013 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142515240011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10996013 + ... + 11008965.

It is an arithmetic number, because the mean of its divisors is an integer number (8258967353).

Almost surely, 2142515240017 is an apocalyptic number.

It is an amenable number.

142515240017 is a deficient number, since it is larger than the sum of its proper divisors (6146172337).

142515240017 is an equidigital number, since it uses as much as digits as its factorization.

142515240017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

Adding to 142515240017 its reverse (710042515241), we get a palindrome (852557755258).

The spelling of 142515240017 in words is "one hundred forty-two billion, five hundred fifteen million, two hundred forty thousand, seventeen".

Divisors: 1 31 107 961 3317 11449 12953 102827 354919 401543 1385971 11002489 12447833 42965101 148298897 1331918131 4597265807 142515240017