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2444404001 = 13237431907
BaseRepresentation
bin1001000110110010…
…1010010100100001
320022100120120220112
42101230222110201
520001231412001
61042320021105
7114401043164
oct22154522441
96270516815
102444404001
1110448909a6
12582761795
132cc564c00
141928dbadb
15e48e7cbb
hex91b2a521

2444404001 has 24 divisors (see below), whose sum is σ = 2727748224. Its totient is φ = 2187881280.

The previous prime is 2444403989. The next prime is 2444404003. The reversal of 2444404001 is 1004044442.

It is not a de Polignac number, because 2444404001 - 210 = 2444402977 is a prime.

It is a super-2 number, since 2×24444040012 = 11950221840209616002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2444404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2694590 + ... + 2695496.

It is an arithmetic number, because the mean of its divisors is an integer number (113656176).

Almost surely, 22444404001 is an apocalyptic number.

It is an amenable number.

2444404001 is a deficient number, since it is larger than the sum of its proper divisors (283344223).

2444404001 is a wasteful number, since it uses less digits than its factorization.

2444404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2444404001 is about 49440.9142411424. The cubic root of 2444404001 is about 1347.0725776664.

Adding to 2444404001 its reverse (1004044442), we get a palindrome (3448448443).

The spelling of 2444404001 in words is "two billion, four hundred forty-four million, four hundred four thousand, one".

Divisors: 1 13 37 169 431 481 907 5603 6253 11791 15947 33559 72839 153283 207311 390917 436267 2695043 5081921 5671471 14463929 66064973 188031077 2444404001