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14124224430 = 23251934491811
BaseRepresentation
bin11010010011101111…
…01000111110101110
31100110100012221110100
431021313220332232
5212411300140210
610253311051530
71010003632611
oct151167507656
940410187410
1014124224430
115a98835958
1228a2210ba6
131441284864
1497dbb2178
15579ec05c0
hex349de8fae

14124224430 has 96 divisors (see below), whose sum is σ = 37015898400. Its totient is φ = 3736535040.

The previous prime is 14124224423. The next prime is 14124224447. The reversal of 14124224430 is 3442242141.

14124224430 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 224 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14124224394 and 14124224403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7798225 + ... + 7800035.

It is an arithmetic number, because the mean of its divisors is an integer number (385582275).

Almost surely, 214124224430 is an apocalyptic number.

14124224430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18507949200).

14124224430 is an abundant number, since it is smaller than the sum of its proper divisors (22891673970).

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

14124224430 is a wasteful number, since it uses less digits than its factorization.

14124224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14124224430 its reverse (3442242141), we get a palindrome (17566466571).

The spelling of 14124224430 in words is "fourteen billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 449 579 898 965 1158 1347 1737 1811 1930 2245 2694 2895 3474 3622 4041 4490 5433 5790 6735 8082 8685 9055 10866 13470 16299 17370 18110 20205 27165 32598 40410 54330 81495 86657 162990 173314 259971 349523 433285 519942 699046 779913 813139 866570 1048569 1299855 1559826 1626278 1747615 2097138 2439417 2599710 3145707 3495230 3899565 4065695 4878834 5242845 6291414 7318251 7799130 8131390 10485690 12197085 14636502 15728535 24394170 31457070 36591255 73182510 156935827 313871654 470807481 784679135 941614962 1412422443 1569358270 2354037405 2824844886 4708074810 7062112215 14124224430