Search a number
-
+
4010132440049 is a prime number
BaseRepresentation
bin111010010110101110100…
…001010000001111110001
3112012100212000122222122112
4322112232201100033301
51011200222401040144
612310121315215105
7562502551220501
oct72265641201761
915170760588575
104010132440049
11130676224486a
125492352a7495
132312000771a8
14dc13ccd9a01
156e4a57c999e
hex3a5ae8503f1

4010132440049 has 2 divisors, whose sum is σ = 4010132440050. Its totient is φ = 4010132440048.

The previous prime is 4010132440003. The next prime is 4010132440051. The reversal of 4010132440049 is 9400442310104.

4010132440049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3920372280049 + 89760160000 = 1979993^2 + 299600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4010132440049 is a prime.

Together with 4010132440051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4010132439997 and 4010132440024.

It is not a weakly prime, because it can be changed into another prime (4010132440849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2005066220024 + 2005066220025.

It is an arithmetic number, because the mean of its divisors is an integer number (2005066220025).

Almost surely, 24010132440049 is an apocalyptic number.

It is an amenable number.

4010132440049 is a deficient number, since it is larger than the sum of its proper divisors (1).

4010132440049 is an equidigital number, since it uses as much as digits as its factorization.

4010132440049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 4010132440049 in words is "four trillion, ten billion, one hundred thirty-two million, four hundred forty thousand, forty-nine".