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13440100141 = 132935650133
BaseRepresentation
bin11001000010001011…
…11010011100101101
31021200122220211100201
430201011322130231
5210011131201031
610101351553501
7654025652266
oct144105723455
937618824321
1013440100141
11577764a186
12273108b891
1313626135a0
14916dab96d
15539dd6d61
hex32117a72d

13440100141 has 8 divisors (see below), whose sum is σ = 14973056280. Its totient is φ = 11978444352.

The previous prime is 13440100099. The next prime is 13440100273. The reversal of 13440100141 is 14100104431.

13440100141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 335241 + 13439764900 = 579^2 + 115930^2 .

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 13440100141 - 225 = 13406545709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440103141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17824690 + ... + 17825443.

It is an arithmetic number, because the mean of its divisors is an integer number (1871632035).

Almost surely, 213440100141 is an apocalyptic number.

It is an amenable number.

13440100141 is a deficient number, since it is larger than the sum of its proper divisors (1532956139).

13440100141 is a wasteful number, since it uses less digits than its factorization.

13440100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35650175.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13440100141 its reverse (14100104431), we get a palindrome (27540204572).

The spelling of 13440100141 in words is "thirteen billion, four hundred forty million, one hundred thousand, one hundred forty-one".

Divisors: 1 13 29 377 35650133 463451729 1033853857 13440100141