Search a number
-
+
4003985149 is a prime number
BaseRepresentation
bin1110111010100111…
…1111011011111101
3101100001012112001021
43232221333123331
531200010011044
61501151144141
7201136212043
oct35651773375
911301175037
104003985149
11177516633a
12938b15051
134ba6b85a8
1429dab0393
151867b0e84
hexeea7f6fd

4003985149 has 2 divisors, whose sum is σ = 4003985150. Its totient is φ = 4003985148.

The previous prime is 4003985101. The next prime is 4003985173. The reversal of 4003985149 is 9415893004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3307975225 + 696009924 = 57515^2 + 26382^2 .

It is a cyclic number.

It is not a de Polignac number, because 4003985149 - 219 = 4003460861 is a prime.

It is a super-3 number, since 3×40039851493 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4003985189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001992574 + 2001992575.

It is an arithmetic number, because the mean of its divisors is an integer number (2001992575).

Almost surely, 24003985149 is an apocalyptic number.

It is an amenable number.

4003985149 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003985149 is an equidigital number, since it uses as much as digits as its factorization.

4003985149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 4003985149 is about 63277.0507293126. The cubic root of 4003985149 is about 1587.9280461373.

The spelling of 4003985149 in words is "four billion, three million, nine hundred eighty-five thousand, one hundred forty-nine".