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4040310141 = 327211381077
BaseRepresentation
bin1111000011010010…
…0011110101111101
3101102120120000120100
43300310203311331
531233304411031
61504525511313
7202060032600
oct36064436575
911376500510
104040310141
11179371689a
12949112539
134c509647a
142a4848337
15189a88de6
hexf0d23d7d

4040310141 has 36 divisors (see below), whose sum is σ = 6848982972. Its totient is φ = 2288289024.

The previous prime is 4040310139. The next prime is 4040310149. The reversal of 4040310141 is 1410130404.

It can be written as a sum of positive squares in 2 ways, for example, as 1635878916 + 2404431225 = 40446^2 + 49035^2 .

It is not a de Polignac number, because 4040310141 - 21 = 4040310139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040310149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9295 + ... + 90371.

It is an arithmetic number, because the mean of its divisors is an integer number (190249527).

Almost surely, 24040310141 is an apocalyptic number.

It is an amenable number.

4040310141 is a deficient number, since it is larger than the sum of its proper divisors (2808672831).

4040310141 is a wasteful number, since it uses less digits than its factorization.

4040310141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81210 (or 81200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4040310141 is about 63563.4339931379. The cubic root of 4040310141 is about 1592.7156025766.

Adding to 4040310141 its reverse (1410130404), we get a palindrome (5450440545).

The spelling of 4040310141 in words is "four billion, forty million, three hundred ten thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 1017 2373 5537 7119 16611 49833 81077 243231 567539 729693 1702617 3972773 5107851 9161701 11918319 27485103 35754957 64131907 82455309 192395721 448923349 577187163 1346770047 4040310141