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2314412321 = 13415381929
BaseRepresentation
bin1000100111110011…
…0010000100100001
312222021222022211212
42021330302010201
514214442143241
61021353515505
7111232115534
oct21174620441
95867868755
102314412321
11a88475261
12547112b95
132ab650160
1417d540a1b
15d82bbbeb
hex89f32121

2314412321 has 16 divisors (see below), whose sum is σ = 2601441360. Its totient is φ = 2044922880.

The previous prime is 2314412297. The next prime is 2314412341. The reversal of 2314412321 is 1232144132.

It can be written as a sum of positive squares in 8 ways, for example, as 558802321 + 1755610000 = 23639^2 + 41900^2 .

It is a de Polignac number, because none of the positive numbers 2k-2314412321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2314412341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12716 + ... + 69213.

It is an arithmetic number, because the mean of its divisors is an integer number (162590085).

Almost surely, 22314412321 is an apocalyptic number.

It is an amenable number.

2314412321 is a deficient number, since it is larger than the sum of its proper divisors (287029039).

2314412321 is a wasteful number, since it uses less digits than its factorization.

2314412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82036.

The product of its digits is 1152, while the sum is 23.

The square root of 2314412321 is about 48108.3394122059. The cubic root of 2314412321 is about 1322.7575352367.

Adding to 2314412321 its reverse (1232144132), we get a palindrome (3546556453).

The spelling of 2314412321 in words is "two billion, three hundred fourteen million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 13 41 53 533 689 2173 28249 81929 1065077 3359089 4342237 43668157 56449081 178031717 2314412321