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7142524252417 = 106155691208813
BaseRepresentation
bin110011111101111111110…
…0111101111000100000001
3221021211002210111011110201
41213323333213233010001
51414010342202034132
623105121430525201
71335013260265051
oct147737747570401
927254083434421
107142524252417
11230414480a704
12974328b06801
133ca6ca15b8b8
141a99b2bc9561
15c5bd7d3c2e7
hex67eff9ef101

7142524252417 has 8 divisors (see below), whose sum is σ = 7150545806760. Its totient is φ = 7134505128960.

The previous prime is 7142524252393. The next prime is 7142524252441.

7142524252417 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7142524252393) and next prime (7142524252441).

It can be written as a sum of positive squares in 4 ways, for example, as 209207296 + 7142315045121 = 14464^2 + 2672511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7142524252417 - 211 = 7142524250369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7142524252447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5304303 + ... + 6513115.

It is an arithmetic number, because the mean of its divisors is an integer number (893818225845).

Almost surely, 27142524252417 is an apocalyptic number.

It is an amenable number.

7142524252417 is a deficient number, since it is larger than the sum of its proper divisors (8021554343).

7142524252417 is a wasteful number, since it uses less digits than its factorization.

7142524252417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215443.

The product of its digits is 1254400, while the sum is 46.

The spelling of 7142524252417 in words is "seven trillion, one hundred forty-two billion, five hundred twenty-four million, two hundred fifty-two thousand, four hundred seventeen".

Divisors: 1 1061 5569 1208813 5908709 1282550593 6731879597 7142524252417