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4040343131 = 1117372931993
BaseRepresentation
bin1111000011010010…
…1011111001011011
3101102120121200211012
43300310223321123
531233311440011
61504530324135
7202060231016
oct36064537133
911376550735
104040343131
111793739660
1294912964b
134c50a84a6
142a485637d
15189a93a8b
hexf0d2be5b

4040343131 has 32 divisors (see below), whose sum is σ = 4811825088. Its totient is φ = 3350384640.

The previous prime is 4040343121. The next prime is 4040343149. The reversal of 4040343131 is 1313430404.

It is a cyclic number.

It is not a de Polignac number, because 4040343131 - 26 = 4040343067 is a prime.

It is a super-2 number, since 2×40403431312 = 32648745232437766322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4040343097 and 4040343106.

It is not an unprimeable number, because it can be changed into a prime (4040343101) 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 31 ways as a sum of consecutive naturals, for example, 2026271 + ... + 2028263.

It is an arithmetic number, because the mean of its divisors is an integer number (150369534).

Almost surely, 24040343131 is an apocalyptic number.

4040343131 is a deficient number, since it is larger than the sum of its proper divisors (771481957).

4040343131 is a wasteful number, since it uses less digits than its factorization.

4040343131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4040343131 is about 63563.6934971529. The cubic root of 4040343131 is about 1592.7199375197.

Adding to 4040343131 its reverse (1313430404), we get a palindrome (5353773535).

The spelling of 4040343131 in words is "four billion, forty million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 11 17 37 187 293 407 629 1993 3223 4981 6919 10841 21923 33881 54791 73741 119251 184297 372691 583949 811151 1253597 2027267 6423439 9927133 13789567 21606113 109198463 237667243 367303921 4040343131