Search a number
-
+
14313936180 = 22353711295711
BaseRepresentation
bin11010101010010110…
…10101010100110100
31100221120012022001110
431111023111110310
5213303331424210
610324205155020
71014466310235
oct152513252464
940846168043
1014313936180
116085931125
12293585ba70
13147167902b
1499b07708c
1558b996420
hex3552d5534

14313936180 has 96 divisors (see below), whose sum is σ = 41205911040. Its totient is φ = 3709946880.

The previous prime is 14313936167. The next prime is 14313936181. The reversal of 14313936180 is 8163931341.

14313936180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143139361802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313936181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2503525 + ... + 2509235.

It is an arithmetic number, because the mean of its divisors is an integer number (429228240).

Almost surely, 214313936180 is an apocalyptic number.

14313936180 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 14313936180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20602955520).

14313936180 is an abundant number, since it is smaller than the sum of its proper divisors (26891974860).

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

14313936180 is a wasteful number, since it uses less digits than its factorization.

14313936180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 14313936180 in words is "fourteen billion, three hundred thirteen million, nine hundred thirty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1129 2220 2258 3387 4516 5645 5711 6774 11290 11422 13548 16935 17133 22580 22844 28555 33870 34266 41773 57110 67740 68532 83546 85665 114220 125319 167092 171330 208865 211307 250638 342660 417730 422614 501276 626595 633921 835460 845228 1056535 1253190 1267842 2113070 2506380 2535684 3169605 4226140 6339210 6447719 12678420 12895438 19343157 25790876 32238595 38686314 64477190 77372628 96715785 128954380 193431570 238565603 386863140 477131206 715696809 954262412 1192828015 1431393618 2385656030 2862787236 3578484045 4771312060 7156968090 14313936180