Search a number
-
+
14384164356 = 223622212
BaseRepresentation
bin11010110010101110…
…01110111000000100
31101010110100021000000
431121113032320010
5213424321224411
610335154321300
71016311244142
oct153127167004
941113307000
1014384164356
116111538641
122955289230
131483097673
149a6518592
15592c19956
hex3595cee04

14384164356 has 63 divisors (see below), whose sum is σ = 37758167013. Its totient is φ = 4792562640.

The previous prime is 14384164297. The next prime is 14384164409. The reversal of 14384164356 is 65346148341.

The square root of 14384164356 is 119934.

It is a perfect power (a square), and thus also a powerful number.

14384164356 is a `hidden beast` number, since 1 + 438 + 4 + 164 + 3 + 56 = 666.

14384164356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9754722756 + 4629441600 = 98766^2 + 68040^2 .

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 6475326 + ... + 6477546.

Almost surely, 214384164356 is an apocalyptic number.

14384164356 is the 119934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14384164356

14384164356 is an abundant number, since it is smaller than the sum of its proper divisors (23374002657).

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

14384164356 is an frugal number, since it uses more digits than its factorization.

14384164356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 2226 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 14384164356 in words is "fourteen billion, three hundred eighty-four million, one hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2221 2916 4442 6663 8884 13326 19989 26652 39978 59967 79956 119934 179901 239868 359802 539703 719604 1079406 1619109 2158812 3238218 4932841 6476436 9865682 14798523 19731364 29597046 44395569 59194092 88791138 133186707 177582276 266373414 399560121 532746828 799120242 1198680363 1598240484 2397360726 3596041089 4794721452 7192082178 14384164356