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4031413037 is a prime number
BaseRepresentation
bin1111000001001010…
…0111101100101101
3101101221211000000222
43300102213230231
531224020204122
61504011101125
7201621305531
oct36022475455
911357730028
104031413037
11178969a313
129461417a5
134c329c902
142a35adbc1
15188dccb42
hexf04a7b2d

4031413037 has 2 divisors, whose sum is σ = 4031413038. Its totient is φ = 4031413036.

The previous prime is 4031412991. The next prime is 4031413049. The reversal of 4031413037 is 7303141304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2438285641 + 1593127396 = 49379^2 + 39914^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4031413037 is a prime.

It is a super-3 number, since 3×40314130373 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4031412997 and 4031413015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4031913037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2015706518 + 2015706519.

It is an arithmetic number, because the mean of its divisors is an integer number (2015706519).

Almost surely, 24031413037 is an apocalyptic number.

It is an amenable number.

4031413037 is a deficient number, since it is larger than the sum of its proper divisors (1).

4031413037 is an equidigital number, since it uses as much as digits as its factorization.

4031413037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 4031413037 is about 63493.4093981415. The cubic root of 4031413037 is about 1591.5456453048.

The spelling of 4031413037 in words is "four billion, thirty-one million, four hundred thirteen thousand, thirty-seven".