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4040124001 = 17614498677
BaseRepresentation
bin1111000011001111…
…0110011001100001
3101102120012120020021
43300303312121201
531233232432001
61504521513441
7202055326114
oct36063663141
911376176207
104040124001
1117935a9a61
12949042881
134c502c824
142a47da57b
15189a4dba1
hexf0cf6661

4040124001 has 16 divisors (see below), whose sum is σ = 4358091600. Its totient is φ = 3731374080.

The previous prime is 4040123959. The next prime is 4040124007. The reversal of 4040124001 is 1004210404.

It can be written as a sum of positive squares in 8 ways, for example, as 196000000 + 3844124001 = 14000^2 + 62001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4040124001 - 227 = 3905906273 is a prime.

It is a deceptive number, since it divides R4040124000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040124007) 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 15 ways as a sum of consecutive naturals, for example, 461275 + ... + 469951.

It is an arithmetic number, because the mean of its divisors is an integer number (272380725).

Almost surely, 24040124001 is an apocalyptic number.

It is an amenable number.

4040124001 is a deficient number, since it is larger than the sum of its proper divisors (317967599).

4040124001 is a wasteful number, since it uses less digits than its factorization.

4040124001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4040124001 is about 63561.9697696665. The cubic root of 4040124001 is about 1592.6911430157.

Adding to 4040124001 its reverse (1004210404), we get a palindrome (5044334405).

The spelling of 4040124001 in words is "four billion, forty million, one hundred twenty-four thousand, one".

Divisors: 1 17 61 449 1037 7633 8677 27389 147509 465613 529297 3895973 8998049 66231541 237654353 4040124001