Search a number
-
+
1440224420004 = 223240006233889
BaseRepresentation
bin10100111101010100000…
…100001010000010100100
312002200110201100001100100
4110331110010022002210
5142044034422420004
63021344023344100
7206024050403406
oct24752404120244
95080421301310
101440224420004
11505883158407
121b31602b2030
13a5a74313926
144d9c8914b76
15276e46c6739
hex14f5410a0a4

1440224420004 has 18 divisors (see below), whose sum is σ = 3640567283990. Its totient is φ = 480074806656.

The previous prime is 1440224419999. The next prime is 1440224420017. The reversal of 1440224420004 is 4000244220441.

1440224420004 is a `hidden beast` number, since 14 + 4 + 0 + 224 + 420 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1363051580004 + 77172840000 = 1167498^2 + 277800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1440224420004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20003116909 + ... + 20003116980.

Almost surely, 21440224420004 is an apocalyptic number.

It is an amenable number.

1440224420004 is an abundant number, since it is smaller than the sum of its proper divisors (2200342863986).

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

1440224420004 is a wasteful number, since it uses less digits than its factorization.

1440224420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40006233899 (or 40006233894 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1440224420004 its reverse (4000244220441), we get a palindrome (5440468640445).

The spelling of 1440224420004 in words is "one trillion, four hundred forty billion, two hundred twenty-four million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 40006233889 80012467778 120018701667 160024935556 240037403334 360056105001 480074806668 720112210002 1440224420004