Search a number
-
+
440983157 is a prime number
BaseRepresentation
bin11010010010001…
…101111001110101
31010201210021011112
4122102031321311
51400342430112
6111431444405
713633203116
oct3222157165
91121707145
10440983157
11206a1819a
12103826705
13704907a4
14427d220d
1528aaba22
hex1a48de75

440983157 has 2 divisors, whose sum is σ = 440983158. Its totient is φ = 440983156.

The previous prime is 440983129. The next prime is 440983159. The reversal of 440983157 is 751389044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387853636 + 53129521 = 19694^2 + 7289^2 .

It is a cyclic number.

It is not a de Polignac number, because 440983157 - 210 = 440982133 is a prime.

It is a super-3 number, since 3×4409831573 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 440983159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (440983159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220491578 + 220491579.

It is an arithmetic number, because the mean of its divisors is an integer number (220491579).

Almost surely, 2440983157 is an apocalyptic number.

It is an amenable number.

440983157 is a deficient number, since it is larger than the sum of its proper divisors (1).

440983157 is an equidigital number, since it uses as much as digits as its factorization.

440983157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 440983157 is about 20999.5989723614. The cubic root of 440983157 is about 761.1565706360.

The spelling of 440983157 in words is "four hundred forty million, nine hundred eighty-three thousand, one hundred fifty-seven".