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2143287216009 = 32229221312
BaseRepresentation
bin11111001100000101110…
…111111000011110001001
321120220012101000121100100
4133030011313320132021
5240103423011403014
64320340151200013
7310563440513352
oct37140567703611
97526171017310
102143287216009
11756a65837a75
122a7472676009
1312715a1808a4
1475a428cad29
153ab425c9009
hex1f305df8789

2143287216009 has 27 divisors (see below), whose sum is σ = 3110897212839. Its totient is φ = 1421951006160.

The previous prime is 2143287215999. The next prime is 2143287216017. The reversal of 2143287216009 is 9006127823412.

The square root of 2143287216009 is 1463997.

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

2143287216009 is a `hidden beast` number, since 2 + 1 + 4 + 32 + 8 + 7 + 2 + 1 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1996153599609 + 147133616400 = 1412853^2 + 383580^2 .

It is a de Polignac number, because none of the positive numbers 2k-2143287216009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2143287216019) 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 26 ways as a sum of consecutive naturals, for example, 1005764874 + ... + 1005767004.

Almost surely, 22143287216009 is an apocalyptic number.

2143287216009 is the 1463997-th square number.

2143287216009 is the 731999-th centered octagonal number.

It is an amenable number.

2143287216009 is a deficient number, since it is larger than the sum of its proper divisors (967609996830).

2143287216009 is an frugal number, since it uses more digits than its factorization.

2143287216009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 2143287 and 216009, that added together give a square (2359296 = 15362).

The spelling of 2143287216009 in words is "two trillion, one hundred forty-three billion, two hundred eighty-seven million, two hundred sixteen thousand, nine".

Divisors: 1 3 9 229 687 2061 2131 6393 19179 52441 157323 471969 487999 1463997 4391991 4541161 13623483 40870449 111751771 335255313 1005765939 1039925869 3119777607 9359332821 238143024001 714429072003 2143287216009