Search a number
-
+
4117832041 = 40929093461
BaseRepresentation
bin1111010101110001…
…0010000101101001
3101121222102112121211
43311130102011221
531413131111131
61520335233121
7204020665141
oct36534220551
911558375554
104117832041
111823455184
1296b0787a1
1350816990b
142b0c67921
1519179d5b1
hexf5712169

4117832041 has 8 divisors (see below), whose sum is σ = 4130512200. Its totient is φ = 4105165440.

The previous prime is 4117832029. The next prime is 4117832051. The reversal of 4117832041 is 1402387114.

4117832041 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 4 ways, for example, as 1629817641 + 2488014400 = 40371^2 + 49880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4117832041 - 223 = 4109443433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4117831994 and 4117832012.

It is not an unprimeable number, because it can be changed into a prime (4117832051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188051 + ... + 1191511.

It is an arithmetic number, because the mean of its divisors is an integer number (516314025).

Almost surely, 24117832041 is an apocalyptic number.

It is an amenable number.

4117832041 is a deficient number, since it is larger than the sum of its proper divisors (12680159).

4117832041 is a wasteful number, since it uses less digits than its factorization.

4117832041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 4117832041 is about 64170.3361452938. The cubic root of 4117832041 is about 1602.8376779365.

The spelling of 4117832041 in words is "four billion, one hundred seventeen million, eight hundred thirty-two thousand, forty-one".

Divisors: 1 409 2909 3461 1189781 1415549 10068049 4117832041