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2456401141 is a prime number
BaseRepresentation
bin1001001001101001…
…1011010011110101
320100012011002220001
42102122123103311
520012314314031
61043425111301
7114605031235
oct22232332365
96305132801
102456401141
111050635597
12586788531
13301ba57cc
14194341cc5
15e59b7861
hex9269b4f5

2456401141 has 2 divisors, whose sum is σ = 2456401142. Its totient is φ = 2456401140.

The previous prime is 2456401139. The next prime is 2456401147. The reversal of 2456401141 is 1411046542.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2411792100 + 44609041 = 49110^2 + 6679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2456401141 - 21 = 2456401139 is a prime.

It is a super-2 number, since 2×24564011412 = 12067813131012203762, which contains 22 as substring.

Together with 2456401139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2456401147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1228200570 + 1228200571.

It is an arithmetic number, because the mean of its divisors is an integer number (1228200571).

Almost surely, 22456401141 is an apocalyptic number.

It is an amenable number.

2456401141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2456401141 is an equidigital number, since it uses as much as digits as its factorization.

2456401141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2456401141 is about 49562.0937915258. The cubic root of 2456401141 is about 1349.2727937132.

Adding to 2456401141 its reverse (1411046542), we get a palindrome (3867447683).

It can be divided in two parts, 2456401 and 141, that added together give a palindrome (2456542).

The spelling of 2456401141 in words is "two billion, four hundred fifty-six million, four hundred one thousand, one hundred forty-one".