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4041112401 = 32973346133
BaseRepresentation
bin1111000011011110…
…0111101101010001
3101102122001210001200
43300313213231101
531234011044101
61504555021413
7202066613544
oct36067475521
911378053050
104041112401
111794114617
1294943a869
134c52b7691
142a49b685b
15189b96986
hexf0de7b51

4041112401 has 12 divisors (see below), whose sum is σ = 5837888628. Its totient is φ = 2693739744.

The previous prime is 4041112393. The next prime is 4041112409. The reversal of 4041112401 is 1042111404.

It is an interprime number because it is at equal distance from previous prime (4041112393) and next prime (4041112409).

It can be written as a sum of positive squares in 2 ways, for example, as 3007425600 + 1033686801 = 54840^2 + 32151^2 .

It is not a de Polignac number, because 4041112401 - 23 = 4041112393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4041112409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64531 + ... + 110663.

It is an arithmetic number, because the mean of its divisors is an integer number (486490719).

Almost surely, 24041112401 is an apocalyptic number.

It is an amenable number.

4041112401 is a deficient number, since it is larger than the sum of its proper divisors (1796776227).

4041112401 is a wasteful number, since it uses less digits than its factorization.

4041112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55872 (or 55869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4041112401 is about 63569.7443836295. The cubic root of 4041112401 is about 1592.8210142414.

Adding to 4041112401 its reverse (1042111404), we get a palindrome (5083223805).

The spelling of 4041112401 in words is "four billion, forty-one million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 9 9733 29199 46133 87597 138399 415197 449012489 1347037467 4041112401