Search a number
-
+
14343314120 = 23517106319843
BaseRepresentation
bin11010101101110110…
…11001101011001000
31101000121110212000022
431112323121223020
5213333342022440
610331135000012
71015304105222
oct152673315310
941017425008
1014343314120
1160a0477213
122943669008
131477793b25
149a0d23412
1558e34acb5
hex356ed9ac8

14343314120 has 64 divisors (see below), whose sum is σ = 34204705920. Its totient is φ = 5394484224.

The previous prime is 14343314113. The next prime is 14343314129. The reversal of 14343314120 is 2141334341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14343314120.

It is not an unprimeable number, because it can be changed into a prime (14343314129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712919 + ... + 732761.

It is an arithmetic number, because the mean of its divisors is an integer number (534448530).

Almost surely, 214343314120 is an apocalyptic number.

14343314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14343314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102352960).

14343314120 is an abundant number, since it is smaller than the sum of its proper divisors (19861391800).

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

14343314120 is a wasteful number, since it uses less digits than its factorization.

14343314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20934 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14343314120 its reverse (2141334341), we get a palindrome (16484648461).

The spelling of 14343314120 in words is "fourteen billion, three hundred forty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1063 2126 4252 5315 8504 10630 18071 19843 21260 36142 39686 42520 72284 79372 90355 99215 144568 158744 180710 198430 337331 361420 396860 674662 722840 793720 1349324 1686655 2698648 3373310 6746620 13493240 21093109 42186218 84372436 105465545 168744872 210931090 358582853 421862180 717165706 843724360 1434331412 1792914265 2868662824 3585828530 7171657060 14343314120