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40404141 = 3210144449
BaseRepresentation
bin1001101000100…
…0010010101101
32211000202001200
42122020102231
540320413031
64002000113
71000300221
oct232102255
984022050
1040404141
1120897258
1211646039
1384a879b
14551a781
1538318e6
hex26884ad

40404141 has 12 divisors (see below), whose sum is σ = 58940700. Its totient is φ = 26668800.

The previous prime is 40404139. The next prime is 40404157. The reversal of 40404141 is 14140404.

It can be written as a sum of positive squares in 2 ways, for example, as 37088100 + 3316041 = 6090^2 + 1821^2 .

It is not a de Polignac number, because 40404141 - 21 = 40404139 is a prime.

40404141 is a modest number, since divided by 4141 gives 404 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21316 + ... + 23133.

It is an arithmetic number, because the mean of its divisors is an integer number (4911725).

Almost surely, 240404141 is an apocalyptic number.

It is an amenable number.

40404141 is a deficient number, since it is larger than the sum of its proper divisors (18536559).

40404141 is a wasteful number, since it uses less digits than its factorization.

40404141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44556 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40404141 is about 6356.4251745773. The cubic root of 40404141 is about 343.1431175798.

Adding to 40404141 its reverse (14140404), we get a palindrome (54544545).

The spelling of 40404141 in words is "forty million, four hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 101 303 909 44449 133347 400041 4489349 13468047 40404141