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40142777 is a prime number
BaseRepresentation
bin1001100100100…
…0011110111001
32210112110112112
42121020132321
540234032102
63552222105
7665131223
oct231103671
983473475
1040142777
1120728954
121153a935
13841682c
14548d413
1537ce252
hex26487b9

40142777 has 2 divisors, whose sum is σ = 40142778. Its totient is φ = 40142776.

The previous prime is 40142749. The next prime is 40142789. The reversal of 40142777 is 77724104.

40142777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29767936 + 10374841 = 5456^2 + 3221^2 .

It is a cyclic number.

It is not a de Polignac number, because 40142777 - 214 = 40126393 is a prime.

It is a super-3 number, since 3×401427773 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40142717) 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 as a sum of consecutive naturals, namely, 20071388 + 20071389.

It is an arithmetic number, because the mean of its divisors is an integer number (20071389).

Almost surely, 240142777 is an apocalyptic number.

It is an amenable number.

40142777 is a deficient number, since it is larger than the sum of its proper divisors (1).

40142777 is an equidigital number, since it uses as much as digits as its factorization.

40142777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 40142777 is about 6335.8327787277. The cubic root of 40142777 is about 342.4016148760.

The spelling of 40142777 in words is "forty million, one hundred forty-two thousand, seven hundred seventy-seven".