Search a number
-
+
2540001043441 is a prime number
BaseRepresentation
bin100100111101100011110…
…111000010001111110001
322222211012001002010001001
4210331203313002033301
5313103410231342231
65222505501242001
7351336410432341
oct44754367021761
98884161063031
102540001043441
1189a23240a274
12350329263301
131556a0a3b604
148ad18472d21
1546110751b61
hex24f63dc23f1

2540001043441 has 2 divisors, whose sum is σ = 2540001043442. Its totient is φ = 2540001043440.

The previous prime is 2540001043429. The next prime is 2540001043453. The reversal of 2540001043441 is 1443401000452.

It is a balanced prime because it is at equal distance from previous prime (2540001043429) and next prime (2540001043453).

It can be written as a sum of positive squares in only one way, i.e., 1951092144225 + 588908899216 = 1396815^2 + 767404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2540001043441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2340001043441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270000521720 + 1270000521721.

It is an arithmetic number, because the mean of its divisors is an integer number (1270000521721).

Almost surely, 22540001043441 is an apocalyptic number.

It is an amenable number.

2540001043441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540001043441 is an equidigital number, since it uses as much as digits as its factorization.

2540001043441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2540001043441 its reverse (1443401000452), we get a palindrome (3983402043893).

The spelling of 2540001043441 in words is "two trillion, five hundred forty billion, one million, forty-three thousand, four hundred forty-one".