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14276329230409 = 17237260072
BaseRepresentation
bin1100111110111111011110…
…0010000101000001001001
31212112210200221010022000121
43033233313202011001021
53332400410240333114
650210242145303241
73002300514144031
oct317576742050111
955483627108017
1014276329230409
114604614738394
121726a21934b21
137c7337a49bcc
14374d999968c1
1519b560450a24
hexcfbf7885049

14276329230409 has 27 divisors (see below), whose sum is σ = 15589064031093. Its totient is φ = 13071218928768.

The previous prime is 14276329230343. The next prime is 14276329230437. The reversal of 14276329230409 is 90403292367241.

It is a happy number.

The square root of 14276329230409 is 3778403.

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 6640944462009 + 7635384768400 = 2577003^2 + 2763220^2 .

It is not a de Polignac number, because 14276329230409 - 217 = 14276329099337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14276329230469) 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, 2376612484 + ... + 2376618490.

Almost surely, 214276329230409 is an apocalyptic number.

14276329230409 is the 3778403-rd square number.

14276329230409 is the 1889202-nd centered octagonal number.

It is an amenable number.

14276329230409 is a deficient number, since it is larger than the sum of its proper divisors (1312734800684).

14276329230409 is an frugal number, since it uses more digits than its factorization.

14276329230409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 14276329230409 in words is "fourteen trillion, two hundred seventy-six billion, three hundred twenty-nine million, two hundred thirty thousand, four hundred nine".

Divisors: 1 17 37 289 629 1369 6007 10693 23273 102119 222259 395641 1736023 3778403 8223583 36084049 64232851 139800911 613428833 1335109813 2376615487 10428290161 22696866821 49399063081 385846735957 839784072377 14276329230409