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2114436289 = 7265692
BaseRepresentation
bin111111000000111…
…1011110011000001
312110100200111022011
41332001323303001
513312243430124
6545451412521
7103253261200
oct17601736301
95410614264
102114436289
119955a9309
124b0154141
132790a3a44
14160b67237
15c5969994
hex7e07bcc1

2114436289 has 9 divisors (see below), whose sum is σ = 2460024867. Its totient is φ = 1812098064.

The previous prime is 2114436283. The next prime is 2114436293. The reversal of 2114436289 is 9826344112.

The square root of 2114436289 is 45983.

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

It can be written as a sum of positive squares in only one way, i.e., 1902442689 + 211993600 = 43617^2 + 14560^2 .

It is not a de Polignac number, because 2114436289 - 29 = 2114435777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2114436283) 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, 318597 + ... + 325165.

Almost surely, 22114436289 is an apocalyptic number.

2114436289 is the 45983-rd square number.

2114436289 is the 22992-nd centered octagonal number.

It is an amenable number.

2114436289 is a deficient number, since it is larger than the sum of its proper divisors (345588578).

2114436289 is an frugal number, since it uses more digits than its factorization.

2114436289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 6576 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The cubic root of 2114436289 is about 1283.5068808457.

Multiplying 2114436289 by its product of digits (82944), we get a square (175379803554816 = 132431042).

The spelling of 2114436289 in words is "two billion, one hundred fourteen million, four hundred thirty-six thousand, two hundred eighty-nine".

Divisors: 1 7 49 6569 45983 321881 43151761 302062327 2114436289