Search a number
-
+
14453218404 = 2232449894161
BaseRepresentation
bin11010111010111101…
…01001110001100100
31101022021021120100100
431131132221301210
5214100010442104
610350102344100
71021110220662
oct153536516144
941267246310
1014453218404
1161475129a9
12297442b030
131494494751
149b1771c32
15598d0a139
hex35d7a9c64

14453218404 has 36 divisors (see below), whose sum is σ = 36615933900. Its totient is φ = 4807004160.

The previous prime is 14453218393. The next prime is 14453218411. The reversal of 14453218404 is 40481235441.

14453218404 is a `hidden beast` number, since 1 + 44 + 532 + 1 + 84 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12314340900 + 2138877504 = 110970^2 + 46248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430917 + ... + 463244.

It is an arithmetic number, because the mean of its divisors is an integer number (1017109275).

Almost surely, 214453218404 is an apocalyptic number.

It is an amenable number.

14453218404 is an abundant number, since it is smaller than the sum of its proper divisors (22162715496).

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

14453218404 is a wasteful number, since it uses less digits than its factorization.

14453218404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894620 (or 894615 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14453218404 in words is "fourteen billion, four hundred fifty-three million, two hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 894161 1788322 2682483 3576644 5364966 8047449 10729932 16094898 32189796 401478289 802956578 1204434867 1605913156 2408869734 3613304601 4817739468 7226609202 14453218404