Search a number
-
+
2314120441 is a prime number
BaseRepresentation
bin1000100111101110…
…1010110011111001
312222021102111110111
42021323222303321
514214403323231
61021343344321
7111226461553
oct21173526371
95867374414
102314120441
11a88295a36
12546bb20a1
132ab57a349
1417d4a64d3
15d82604b1
hex89eeacf9

2314120441 has 2 divisors, whose sum is σ = 2314120442. Its totient is φ = 2314120440.

The previous prime is 2314120399. The next prime is 2314120463. The reversal of 2314120441 is 1440214132.

It is a happy number.

It is an a-pointer prime, because the next prime (2314120463) can be obtained adding 2314120441 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2088490000 + 225630441 = 45700^2 + 15021^2 .

It is a cyclic number.

It is not a de Polignac number, because 2314120441 - 27 = 2314120313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2314120481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1157060220 + 1157060221.

It is an arithmetic number, because the mean of its divisors is an integer number (1157060221).

Almost surely, 22314120441 is an apocalyptic number.

It is an amenable number.

2314120441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2314120441 is an equidigital number, since it uses as much as digits as its factorization.

2314120441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2314120441 is about 48105.3057468716. The cubic root of 2314120441 is about 1322.7019267788.

Adding to 2314120441 its reverse (1440214132), we get a palindrome (3754334573).

The spelling of 2314120441 in words is "two billion, three hundred fourteen million, one hundred twenty thousand, four hundred forty-one".