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214742340409 = 172272592
BaseRepresentation
bin1100011111111110100…
…1000001001100111001
3202112021202121011200011
43013333221001030321
512004243014343114
6242352401341521
721341341530202
oct3077751011471
9675252534604
10214742340409
11830874a8803
12357509378a1
131733367331c
14a571dd45a9
1558bc8401c4
hex31ffa41339

214742340409 has 9 divisors (see below), whose sum is σ = 228125664687. Its totient is φ = 202103023584.

The previous prime is 214742340391. The next prime is 214742340451. The reversal of 214742340409 is 904043247412.

The square root of 214742340409 is 463403.

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., 167186943225 + 47555397184 = 408885^2 + 218072^2 .

It is not a de Polignac number, because 214742340409 - 221 = 214740243257 is a prime.

It is a super-2 number, since 2×2147423404092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214742320409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7864222 + ... + 7891480.

Almost surely, 2214742340409 is an apocalyptic number.

214742340409 is the 463403-rd square number.

214742340409 is the 231702-nd centered octagonal number.

It is an amenable number.

214742340409 is a deficient number, since it is larger than the sum of its proper divisors (13383324278).

214742340409 is an frugal number, since it uses more digits than its factorization.

214742340409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54552 (or 27276 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 214742340409 in words is "two hundred fourteen billion, seven hundred forty-two million, three hundred forty thousand, four hundred nine".

Divisors: 1 17 289 27259 463403 7877851 743053081 12631902377 214742340409