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14133202312124 = 22731106137334111
BaseRepresentation
bin1100110110101010010010…
…0000001101101110111100
31212001010021011120111210002
43031222210200031232330
53323024244242441444
650020411542533432
72656042633334630
oct315524440155674
955033234514702
1014133202312124
114559948287265
121703138a37278
137b69a83c680c
1436c09cd64dc0
15197984e69d4e
hexcdaa480dbbc

14133202312124 has 96 divisors (see below), whose sum is σ = 29220654661632. Its totient is φ = 5853179232000.

The previous prime is 14133202312049. The next prime is 14133202312139. The reversal of 14133202312124 is 42121320233141.

It is a happy number.

14133202312124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437896829 + ... + 3437900939.

It is an arithmetic number, because the mean of its divisors is an integer number (304381819392).

Almost surely, 214133202312124 is an apocalyptic number.

14133202312124 is a gapful number since it is divisible by the number (14) 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 14133202312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610327330816).

14133202312124 is an abundant number, since it is smaller than the sum of its proper divisors (15087452349508).

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

14133202312124 is a wasteful number, since it uses less digits than its factorization.

14133202312124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 14133202312124 its reverse (42121320233141), we get a palindrome (56254522545265).

The spelling of 14133202312124 in words is "fourteen trillion, one hundred thirty-three billion, two hundred two million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1061 2122 3733 4111 4244 7427 7466 8222 14854 14932 16444 26131 28777 29708 32891 52262 57554 65782 104524 115108 115723 127441 131564 230237 231446 254882 460474 462892 509764 810061 892087 920948 1620122 1784174 3240244 3568348 3960713 4361771 7921426 8723542 15346363 15842852 17447084 27724991 30532397 30692726 55449982 61064794 61385452 107424541 110899964 122129588 122782103 135214901 214849082 245564206 270429802 429698164 475737253 491128412 540859604 859474721 946504307 951474506 1718949442 1893008614 1902949012 3330160771 3437898884 3786017228 6660321542 13320643084 16282491143 32564982286 65129964572 113977438001 227954876002 455909752004 504757225433 1009514450866 2019028901732 3533300578031 7066601156062 14133202312124