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2401440145 = 513217167173
BaseRepresentation
bin1000111100100011…
…0001000110010001
320012100201210120121
42033020301012101
514404232041040
61034143110241
7113336622136
oct21710610621
96170653517
102401440145
111022606585
125702a2381
132c36a1300
1418ad1658d
15e0c5cc4a
hex8f231191

2401440145 has 24 divisors (see below), whose sum is σ = 3304026936. Its totient is φ = 1669045248.

The previous prime is 2401440133. The next prime is 2401440169. The reversal of 2401440145 is 5410441042.

2401440145 = T224 + T225 + ... + T2433.

It can be written as a sum of positive squares in 12 ways, for example, as 1686252096 + 715188049 = 41064^2 + 26743^2 .

It is not a de Polignac number, because 2401440145 - 211 = 2401438097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 69222 + ... + 97951.

It is an arithmetic number, because the mean of its divisors is an integer number (137667789).

Almost surely, 22401440145 is an apocalyptic number.

It is an amenable number.

2401440145 is a deficient number, since it is larger than the sum of its proper divisors (902586791).

2401440145 is a wasteful number, since it uses less digits than its factorization.

2401440145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167221 (or 167208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2401440145 is about 49004.4910696969. The cubic root of 2401440145 is about 1339.1336467601.

Adding to 2401440145 its reverse (5410441042), we get a palindrome (7811881187).

The spelling of 2401440145 in words is "two billion, four hundred one million, four hundred forty thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 169 221 845 1105 2873 14365 167173 835865 2173249 2841941 10866245 14209705 28252237 36945233 141261185 184726165 480288029 2401440145