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14314120340 = 22513173318233
BaseRepresentation
bin11010101010011000…
…00010010010010100
31100221120112122200012
431111030002102110
5213303403322330
610324213135352
71014501005162
oct152514022224
940846478605
1014314120340
116085a47523
12293592a558
131471711ac0
1499b0c4232
1558b9d0c95
hex355302494

14314120340 has 48 divisors (see below), whose sum is σ = 32559157008. Its totient is φ = 5254646784.

The previous prime is 14314120333. The next prime is 14314120397. The reversal of 14314120340 is 4302141341.

It can be written as a sum of positive squares in 8 ways, for example, as 358950916 + 13955169424 = 18946^2 + 118132^2 .

It is a super-2 number, since 2×143141203402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 114137 + ... + 204096.

It is an arithmetic number, because the mean of its divisors is an integer number (678315771).

Almost surely, 214314120340 is an apocalyptic number.

14314120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314120340 is an abundant number, since it is smaller than the sum of its proper divisors (18245036668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14314120340 is a wasteful number, since it uses less digits than its factorization.

14314120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318428 (or 318426 counting only the distinct ones).

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

Adding to 14314120340 its reverse (4302141341), we get a palindrome (18616261681).

The spelling of 14314120340 in words is "fourteen billion, three hundred fourteen million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 44980 318233 636466 1272932 1591165 3182330 4137029 6364660 8274058 16548116 20685145 41370290 55054309 82740580 110108618 220217236 275271545 550543090 715706017 1101086180 1431412034 2862824068 3578530085 7157060170 14314120340