Search a number
-
+
12104004313040 = 245151300053913
BaseRepresentation
bin1011000000100010111011…
…1000001001111111010000
31120212010112212112121212112
42300020232320021333100
53041303000101004130
641424300335244452
72356325340050033
oct260105670117720
946763485477775
1012104004313040
11394730897a622
121435a06679728
1369a5309a0c13
142dbba079701a
1515ecbd983495
hexb022ee09fd0

12104004313040 has 20 divisors (see below), whose sum is σ = 28141810028004. Its totient is φ = 4841601725184.

The previous prime is 12104004312979. The next prime is 12104004313091. The reversal of 12104004313040 is 4031340040121.

It can be written as a sum of positive squares in 2 ways, for example, as 8115228428176 + 3988775884864 = 2848724^2 + 1997192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×121040043130403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12104004312997 and 12104004313015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75650026877 + ... + 75650027036.

Almost surely, 212104004313040 is an apocalyptic number.

12104004313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104004313040 is an abundant number, since it is smaller than the sum of its proper divisors (16037805714964).

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

12104004313040 is a wasteful number, since it uses less digits than its factorization.

12104004313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151300053926 (or 151300053920 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12104004313040 its reverse (4031340040121), we get a palindrome (16135344353161).

The spelling of 12104004313040 in words is "twelve trillion, one hundred four billion, four million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151300053913 302600107826 605200215652 756500269565 1210400431304 1513000539130 2420800862608 3026001078260 6052002156520 12104004313040