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14785830409 = 722925992
BaseRepresentation
bin11011100010100110…
…11101111000001001
31102011110011000020111
431301103131320021
5220240133033114
610443103354321
71032256325200
oct156123357011
942143130214
1014785830409
1162a8241259
122a478b29a1
13151837039c
14a039d4237
155b810bbc4
hex3714dde09

14785830409 has 27 divisors (see below), whose sum is σ = 17843181447. Its totient is φ = 12216121008.

The previous prime is 14785830407. The next prime is 14785830413. The reversal of 14785830409 is 90403858741.

The square root of 14785830409 is 121597.

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., 7753330809 + 7032499600 = 88053^2 + 83860^2 .

It is not a de Polignac number, because 14785830409 - 21 = 14785830407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (14785830407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24683892 + ... + 24684490.

Almost surely, 214785830409 is an apocalyptic number.

14785830409 is the 121597-th square number.

14785830409 is the 60799-th centered octagonal number.

It is an amenable number.

14785830409 is a deficient number, since it is larger than the sum of its proper divisors (3057351038).

14785830409 is an frugal number, since it uses more digits than its factorization.

14785830409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 14785830409 by its sum of digits (49), we get a square (724505690041 = 8511792).

14785830409 divided by its sum of digits (49) gives a square (301751641 = 173712).

The spelling of 14785830409 in words is "fourteen billion, seven hundred eighty-five million, eight hundred thirty thousand, four hundred nine".

Divisors: 1 7 29 49 203 599 841 1421 4193 5887 17371 29351 41209 121597 358801 503759 851179 2511607 3526313 10405229 17581249 24684191 72836603 301751641 509856221 2112261487 14785830409