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14414440404 = 223713118111177
BaseRepresentation
bin11010110110010101…
…01110011111010100
31101012120022102221010
431123022232133110
5214010044043104
610342155252220
71020126502410
oct153312563724
941176272833
1014414440404
116127637471
12296344a070
1314894381a0
149aa559d40
155956ea489
hex35b2ae7d4

14414440404 has 96 divisors (see below), whose sum is σ = 41434073856. Its totient is φ = 3798051840.

The previous prime is 14414440399. The next prime is 14414440429. The reversal of 14414440404 is 40404441441.

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, 1284064 + ... + 1295240.

It is an arithmetic number, because the mean of its divisors is an integer number (431604936).

Almost surely, 214414440404 is an apocalyptic number.

14414440404 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 14414440404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717036928).

14414440404 is an abundant number, since it is smaller than the sum of its proper divisors (27019633452).

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

14414440404 is a wasteful number, since it uses less digits than its factorization.

14414440404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14414440404 its reverse (40404441441), we get a palindrome (54818881845).

The spelling of 14414440404 in words is "fourteen billion, four hundred fourteen million, four hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1181 2362 3543 4724 7086 8267 11177 14172 15353 16534 22354 24801 30706 33068 33531 44708 46059 49602 61412 67062 78239 92118 99204 107471 134124 145301 156478 184236 214942 234717 290602 312956 322413 429884 435903 469434 581204 644826 871806 938868 1017107 1289652 1743612 2034214 3051321 4068428 6102642 12205284 13200037 26400074 39600111 52800148 79200222 92400259 158400444 171600481 184800518 277200777 343200962 369601036 514801443 554401554 686401924 1029602886 1108803108 1201203367 2059205772 2402406734 3603610101 4804813468 7207220202 14414440404