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35142288224153 = 118142139237463
BaseRepresentation
bin1111111110110001100111…
…00110110010111110011001
311121102120101111012121002012
413333120303212302332121
514101232401241133103
6202424051102115305
710254642443165165
oct777306346627631
9147376344177065
1035142288224153
11102198405aa3a0
123b3698927bb35
13167bb99176696
14896c78205ca5
1540e1e90642d8
hex1ff6339b2f99

35142288224153 has 8 divisors (see below), whose sum is σ = 38337513525696. Its totient is φ = 31947141560400.

The previous prime is 35142288224093. The next prime is 35142288224171.

35142288224153 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 35142288224153 - 28 = 35142288223897 is a prime.

It is a super-2 number, since 2×351422882241532 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35142288224353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18723101 + ... + 20514362.

It is an arithmetic number, because the mean of its divisors is an integer number (4792189190712).

Almost surely, 235142288224153 is an apocalyptic number.

It is an amenable number.

35142288224153 is a deficient number, since it is larger than the sum of its proper divisors (3195225301543).

35142288224153 is a wasteful number, since it uses less digits than its factorization.

35142288224153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318895.

The product of its digits is 3686400, while the sum is 50.

The spelling of 35142288224153 in words is "thirty-five trillion, one hundred forty-two billion, two hundred eighty-eight million, two hundred twenty-four thousand, one hundred fifty-three".

Divisors: 1 11 81421 895631 39237463 431612093 3194753474923 35142288224153