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2014304161 = 37212132
BaseRepresentation
bin111100000001111…
…1101011110100001
312012101021020211211
41320003331132201
513111130213121
6531513310121
7100626205612
oct17003753641
95171236754
102014304161
11944027591
12482705341
1326141506c
1415173dc09
15bbc8ace1
hex780fd7a1

2014304161 has 9 divisors (see below), whose sum is σ = 2071924281. Its totient is φ = 1958247792.

The previous prime is 2014304107. The next prime is 2014304197. The reversal of 2014304161 is 1614034102.

The square root of 2014304161 is 44881.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32273761 + 1982030400 = 5681^2 + 44520^2 .

It is a de Polignac number, because none of the positive numbers 2k-2014304161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2014304101) 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 8 ways as a sum of consecutive naturals, for example, 1659991 + ... + 1661203.

It is an arithmetic number, because the mean of its divisors is an integer number (230213809).

Almost surely, 22014304161 is an apocalyptic number.

2014304161 is the 44881-st square number.

2014304161 is the 22441-st centered octagonal number.

It is an amenable number.

2014304161 is a deficient number, since it is larger than the sum of its proper divisors (57620120).

2014304161 is an frugal number, since it uses more digits than its factorization.

2014304161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 2014304161 is about 1262.9176029365.

Multiplying 2014304161 by its product of nonzero digits (576), we get a square (1160239196736 = 10771442).

Adding to 2014304161 its reverse (1614034102), we get a palindrome (3628338263).

The spelling of 2014304161 in words is "two billion, fourteen million, three hundred four thousand, one hundred sixty-one".

Divisors: 1 37 1213 1369 44881 1471369 1660597 54440653 2014304161