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4106118241 = 13924612
BaseRepresentation
bin1111010010111110…
…0110010001100001
3101121011101102022101
43310233212101201
531402131240431
61515240210401
7203516300131
oct36457462141
911534342271
104106118241
111817884455
12967169a01
135058c7c84
142ad498ac1
15190737961
hexf4be6461

4106118241 has 9 divisors (see below), whose sum is σ = 4144862163. Its totient is φ = 4067734920.

The previous prime is 4106118209. The next prime is 4106118251. The reversal of 4106118241 is 1428116014.

The square root of 4106118241 is 64079.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1316165841 + 2789952400 = 36279^2 + 52820^2 .

It is not a de Polignac number, because 4106118241 - 25 = 4106118209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4106118251) 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 8 ways as a sum of consecutive naturals, for example, 8906751 + ... + 8907211.

Almost surely, 24106118241 is an apocalyptic number.

4106118241 is the 64079-th square number.

4106118241 is the 32040-th centered octagonal number.

It is an amenable number.

4106118241 is a deficient number, since it is larger than the sum of its proper divisors (38743922).

4106118241 is an frugal number, since it uses more digits than its factorization.

4106118241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The cubic root of 4106118241 is about 1601.3163959384.

The spelling of 4106118241 in words is "four billion, one hundred six million, one hundred eighteen thousand, two hundred forty-one".

Divisors: 1 139 461 19321 64079 212521 8906981 29540419 4106118241