Search a number
-
+
14257041534 = 23217443105173
BaseRepresentation
bin11010100011100100…
…10011000001111110
31100210121010202021100
431101302103001332
5213144300312114
610314413513530
71013205565521
oct152162230176
940717122240
1014257041534
11605680135a
12291a7a28a6
131462948668
149936a6bb8
155869a8909
hex351c9307e

14257041534 has 48 divisors (see below), whose sum is σ = 32781473712. Its totient is φ = 4462658304.

The previous prime is 14257041529. The next prime is 14257041541. The reversal of 14257041534 is 43514075241.

14257041534 is a `hidden beast` number, since 1 + 42 + 570 + 4 + 15 + 34 = 666.

14257041534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82972 + ... + 188144.

It is an arithmetic number, because the mean of its divisors is an integer number (682947369).

Almost surely, 214257041534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14257041534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390736856).

14257041534 is an abundant number, since it is smaller than the sum of its proper divisors (18524432178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14257041534 is a wasteful number, since it uses less digits than its factorization.

14257041534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105641 (or 105638 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 14257041534 in words is "fourteen billion, two hundred fifty-seven million, forty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 443 886 1329 2658 3987 7531 7974 15062 22593 45186 67779 105173 135558 210346 315519 631038 946557 1787941 1893114 3575882 5363823 10727646 16091469 32182938 46591639 93183278 139774917 279549834 419324751 792057863 838649502 1584115726 2376173589 4752347178 7128520767 14257041534