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141216481845 = 3253138144041
BaseRepresentation
bin1000001110000100101…
…0001000001000110101
3111111111121201120010100
42003201022020020311
54303202404404340
6144512435144313
713126322201415
oct2034112101065
9444447646110
10141216481845
1154987027a3a
1223451145099
131041690743a
146b9900c645
153a17915830
hex20e1288235

141216481845 has 12 divisors (see below), whose sum is σ = 244775235276. Its totient is φ = 75315456960.

The previous prime is 141216481789. The next prime is 141216481849. The reversal of 141216481845 is 548184612141.

141216481845 is a `hidden beast` number, since 1 + 4 + 121 + 6 + 481 + 8 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72450335556 + 68766146289 = 269166^2 + 262233^2 .

It is not a de Polignac number, because 141216481845 - 26 = 141216481781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3138144041 = 141216481845 / (1 + 4 + 1 + 2 + 1 + 6 + 4 + 8 + 1 + 8 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 141216481845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141216481849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569071976 + ... + 1569072065.

It is an arithmetic number, because the mean of its divisors is an integer number (20397936273).

Almost surely, 2141216481845 is an apocalyptic number.

141216481845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141216481845 is a deficient number, since it is larger than the sum of its proper divisors (103558753431).

141216481845 is a wasteful number, since it uses less digits than its factorization.

141216481845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138144052 (or 3138144049 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 141216481845 in words is "one hundred forty-one billion, two hundred sixteen million, four hundred eighty-one thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 3138144041 9414432123 15690720205 28243296369 47072160615 141216481845