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40181141 = 71113137293
BaseRepresentation
bin1001100101000…
…1110110010101
32210121102011102
42121101312111
540241244031
63553115445
7665351120
oct231216625
983542142
1040181141
1120754760
1211558b85
13842b130
14549d3b7
1537da7cb
hex2651d95

40181141 has 32 divisors (see below), whose sum is σ = 54528768. Its totient is φ = 28592640.

The previous prime is 40181117. The next prime is 40181159. The reversal of 40181141 is 14118104.

It is a happy number.

40181141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40181141 - 26 = 40181077 is a prime.

It is a super-2 number, since 2×401811412 = 3229048184123762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40181111) 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 31 ways as a sum of consecutive naturals, for example, 136991 + ... + 137283.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024).

Almost surely, 240181141 is an apocalyptic number.

It is an amenable number.

40181141 is a deficient number, since it is larger than the sum of its proper divisors (14347627).

40181141 is a wasteful number, since it uses less digits than its factorization.

40181141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 40181141 is about 6338.8595977510. The cubic root of 40181141 is about 342.5106566027.

Adding to 40181141 its reverse (14118104), we get a palindrome (54299245).

It can be divided in two parts, 40 and 181141, that added together give a palindrome (181181).

The spelling of 40181141 in words is "forty million, one hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 7 11 13 77 91 137 143 293 959 1001 1507 1781 2051 3223 3809 10549 12467 19591 22561 26663 40141 41899 137137 280987 293293 441551 521833 3090857 3652831 5740163 40181141