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13144851801 = 34127392
BaseRepresentation
bin11000011110111111…
…01000010101011001
31020221002100122210000
430033133220111121
5203410040224201
610012203443213
7643512253044
oct141737502531
936832318700
1013144851801
115635a20794
12266a226509
1313163ba523
148c9ab3c5b
1551e015d86
hex30f7e8559

13144851801 has 15 divisors (see below), whose sum is σ = 19637678181. Its totient is φ = 8762546628.

The previous prime is 13144851793. The next prime is 13144851817. The reversal of 13144851801 is 10815844131.

The square root of 13144851801 is 114651.

It is a perfect power (a square), and thus also a powerful number.

13144851801 is a `hidden beast` number, since 1 + 31 + 448 + 5 + 180 + 1 = 666.

It is not a de Polignac number, because 13144851801 - 23 = 13144851793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13144851821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1025490 + ... + 1038228.

Almost surely, 213144851801 is an apocalyptic number.

13144851801 is the 114651-st square number.

13144851801 is the 57326-th centered octagonal number.

It is an amenable number.

13144851801 is a deficient number, since it is larger than the sum of its proper divisors (6492826380).

13144851801 is an frugal number, since it uses more digits than its factorization.

13144851801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 13144851801 by its sum of digits (36), we get a square (473214664836 = 6879062).

The spelling of 13144851801 in words is "thirteen billion, one hundred forty-four million, eight hundred fifty-one thousand, eight hundred one".

Divisors: 1 3 9 27 81 12739 38217 114651 343953 1031859 162282121 486846363 1460539089 4381617267 13144851801