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132114442431241 = 1752114916387313
BaseRepresentation
bin11110000010100001001010…
…011010010010101100001001
3122022210000110122111000010101
4132002201022122102230021
5114304030334230244431
61144552311553245401
736553645020630544
oct3602411232225411
9568700418430111
10132114442431241
11391064695994a6
12129987b7563861
1358944527b479a
14248a531c3385b
1510418ee689961
hex78284a692b09

132114442431241 has 8 divisors (see below), whose sum is σ = 140154375202344. Its totient is φ = 124104342435840.

The previous prime is 132114442431217. The next prime is 132114442431247. The reversal of 132114442431241 is 142134244411231.

It can be written as a sum of positive squares in 4 ways, for example, as 22271046846841 + 109843395584400 = 4719221^2 + 10480620^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132114442431241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132114442431241.

It is not an unprimeable number, because it can be changed into a prime (132114442431247) 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 7 ways as a sum of consecutive naturals, for example, 7458184800 + ... + 7458202513.

It is an arithmetic number, because the mean of its divisors is an integer number (17519296900293).

Almost surely, 2132114442431241 is an apocalyptic number.

It is an amenable number.

132114442431241 is a deficient number, since it is larger than the sum of its proper divisors (8039932771103).

132114442431241 is a wasteful number, since it uses less digits than its factorization.

132114442431241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916387851.

The product of its digits is 73728, while the sum is 37.

Adding to 132114442431241 its reverse (142134244411231), we get a palindrome (274248686842472).

The spelling of 132114442431241 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-two million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 17 521 8857 14916387313 253578584321 7771437790073 132114442431241