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59145544440131 = 317509573661499
BaseRepresentation
bin11010111001010111001010…
…01010101001100101000011
321202102020222200111201020212
431130223211022221211003
530223020033334041011
6325443031002224335
715313060504500242
oct1534534512514503
9252366880451225
1059145544440131
1117933536a08286
1267729771b50ab
132700529a48156
141086934022959
156c87a0baa08b
hex35cae52a9943

59145544440131 has 8 divisors (see below), whose sum is σ = 59333304006000. Its totient is φ = 58957792299808.

The previous prime is 59145544440119. The next prime is 59145544440137. The reversal of 59145544440131 is 13104444554195.

59145544440131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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-59145544440131 is a prime.

It is a super-2 number, since 2×591455444401312 (a number of 28 digits) contains 22 as substring.

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 59145544440131.

It is not an unprimeable number, because it can be changed into a prime (59145544440137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14322620 + ... + 17984118.

It is an arithmetic number, because the mean of its divisors is an integer number (7416663000750).

Almost surely, 259145544440131 is an apocalyptic number.

59145544440131 is a deficient number, since it is larger than the sum of its proper divisors (187759565869).

59145544440131 is a wasteful number, since it uses less digits than its factorization.

59145544440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712773.

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 59145544440131 in words is "fifty-nine trillion, one hundred forty-five billion, five hundred forty-four million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 317 50957 3661499 16153369 1160695183 186579004543 59145544440131