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4216000041 = 3211192241361
BaseRepresentation
bin1111101101001011…
…0000111000101001
3101212211010222210200
43323102300320221
532113244000131
61534203302413
7206322260211
oct37322607051
911784128720
104216000041
111873905260
12997b1aa09
135225bb5a6
142bdcdd241
1519a1e02e6
hexfb4b0e29

4216000041 has 24 divisors (see below), whose sum is σ = 6993049440. Its totient is φ = 2420668800.

The previous prime is 4216000037. The next prime is 4216000057. The reversal of 4216000041 is 1400006124.

4216000041 is a `hidden beast` number, since 4 + 21 + 600 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 4216000041 - 22 = 4216000037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4215999978 and 4216000023.

It is not an unprimeable number, because it can be changed into a prime (4216000081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1118800 + ... + 1122561.

It is an arithmetic number, because the mean of its divisors is an integer number (291377060).

Almost surely, 24216000041 is an apocalyptic number.

It is an amenable number.

4216000041 is a deficient number, since it is larger than the sum of its proper divisors (2777049399).

4216000041 is a wasteful number, since it uses less digits than its factorization.

4216000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241397 (or 2241394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4216000041 is about 64930.7326387128. The cubic root of 4216000041 is about 1615.4748533855.

Adding to 4216000041 its reverse (1400006124), we get a palindrome (5616006165).

The spelling of 4216000041 in words is "four billion, two hundred sixteen million, forty-one", and thus it is an aban number.

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 2241361 6724083 20172249 24654971 42585859 73964913 127757577 221894739 383272731 468444449 1405333347 4216000041