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14145924141 = 3257716091693
BaseRepresentation
bin11010010110010100…
…11010110000101101
31100111212001101212100
431023022122300231
5212432324033031
610255404125313
71010356241226
oct151312326055
940455041770
1014145924141
115aaa0071a8
1228a9536839
13144591181b
14982a2024d
1557bd59de6
hex34b29ac2d

14145924141 has 24 divisors (see below), whose sum is σ = 20493232760. Its totient is φ = 9402863616.

The previous prime is 14145924119. The next prime is 14145924157. The reversal of 14145924141 is 14142954141.

14145924141 is a `hidden beast` number, since 1 + 41 + 459 + 24 + 141 = 666.

14145924141 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 10035832041 + 4110092100 = 100179^2 + 64110^2 .

It is not a de Polignac number, because 14145924141 - 25 = 14145924109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14145924096 and 14145924105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145925141) 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 23 ways as a sum of consecutive naturals, for example, 8354691 + ... + 8356383.

Almost surely, 214145924141 is an apocalyptic number.

It is an amenable number.

14145924141 is a deficient number, since it is larger than the sum of its proper divisors (6347308619).

14145924141 is a wasteful number, since it uses less digits than its factorization.

14145924141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3882 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

It can be divided in two parts, 141459 and 24141, that added together give a triangular number (165600 = T575).

The spelling of 14145924141 in words is "fourteen billion, one hundred forty-five million, nine hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 577 1609 1693 1731 4827 5079 5193 14481 15237 928393 976861 2724037 2785179 2930583 8172111 8355537 8791749 24516333 1571769349 4715308047 14145924141