Search a number
-
+
4024314331441 is a prime number
BaseRepresentation
bin111010100011111011110…
…100111000000100110001
3112020201110101101201022021
4322203323310320010301
51011413243432101231
612320424450311441
7563514155262565
oct72437364700461
915221411351267
104024314331441
11131177a587768
1254bb32888581
1323265026cac1
14dcac65dd6a5
156ea3588b811
hex3a8fbd38131

4024314331441 has 2 divisors, whose sum is σ = 4024314331442. Its totient is φ = 4024314331440.

The previous prime is 4024314331397. The next prime is 4024314331459. The reversal of 4024314331441 is 1441334134204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3367606690816 + 656707640625 = 1835104^2 + 810375^2 .

It is a cyclic number.

It is not a de Polignac number, because 4024314331441 - 29 = 4024314330929 is a prime.

It is a super-2 number, since 2×40243143314412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024314331397 and 4024314331406.

It is not a weakly prime, because it can be changed into another prime (4024314338441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2012157165720 + 2012157165721.

It is an arithmetic number, because the mean of its divisors is an integer number (2012157165721).

Almost surely, 24024314331441 is an apocalyptic number.

It is an amenable number.

4024314331441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4024314331441 is an equidigital number, since it uses as much as digits as its factorization.

4024314331441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 4024314331441 its reverse (1441334134204), we get a palindrome (5465648465645).

The spelling of 4024314331441 in words is "four trillion, twenty-four billion, three hundred fourteen million, three hundred thirty-one thousand, four hundred forty-one".