Search a number
-
+
4003144997 is a prime number
BaseRepresentation
bin1110111010011011…
…0010010100100101
3101022222121211120112
43232212302110211
531144301114442
61501121142405
7201126112445
oct35646622445
911288554515
104003144997
1117747420a5
1293878aa05
134ba483067
1429d932125
15186697082
hexee9b2525

4003144997 has 2 divisors, whose sum is σ = 4003144998. Its totient is φ = 4003144996.

The previous prime is 4003144991. The next prime is 4003145021. The reversal of 4003144997 is 7994413004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4001068516 + 2076481 = 63254^2 + 1441^2 .

It is a cyclic number.

It is not a de Polignac number, because 4003144997 - 28 = 4003144741 is a prime.

It is a super-2 number, since 2×40031449972 = 32050339734012260018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4003144991) 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, 2001572498 + 2001572499.

It is an arithmetic number, because the mean of its divisors is an integer number (2001572499).

Almost surely, 24003144997 is an apocalyptic number.

It is an amenable number.

4003144997 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003144997 is an equidigital number, since it uses as much as digits as its factorization.

4003144997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 4003144997 is about 63270.4117024696. The cubic root of 4003144997 is about 1587.8169739433.

The spelling of 4003144997 in words is "four billion, three million, one hundred forty-four thousand, nine hundred ninety-seven".