Search a number
-
+
4013805337 is a prime number
BaseRepresentation
bin1110111100111101…
…1100111100011001
3101100201200102210221
43233033130330121
531210013232322
61502141440041
7201315532243
oct35717347431
911321612727
104013805337
11177a7633a3
12940270021
134bc746359
142a1109093
151875a09c7
hexef3dcf19

4013805337 has 2 divisors, whose sum is σ = 4013805338. Its totient is φ = 4013805336.

The previous prime is 4013805253. The next prime is 4013805353. The reversal of 4013805337 is 7335083104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3511866121 + 501939216 = 59261^2 + 22404^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013805337 - 223 = 4005416729 is a prime.

It is a super-2 number, since 2×40138053372 = 32221266566659367138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013805737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006902668 + 2006902669.

It is an arithmetic number, because the mean of its divisors is an integer number (2006902669).

Almost surely, 24013805337 is an apocalyptic number.

It is an amenable number.

4013805337 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013805337 is an equidigital number, since it uses as much as digits as its factorization.

4013805337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 4013805337 is about 63354.5999671689. The cubic root of 4013805337 is about 1589.2251722317.

The spelling of 4013805337 in words is "four billion, thirteen million, eight hundred five thousand, three hundred thirty-seven".