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4144340213801 is a prime number
BaseRepresentation
bin111100010011101101111…
…011010010000000101001
3112200012021012021021201122
4330103231323102000221
51020400102043320201
612451514505425025
7605263420404014
oct74235573220051
915605235237648
104144340213801
11135867200a667
1256b24b19b175
13240a6a919b78
1410483116237b
1572c0cc55e1b
hex3c4eded2029

4144340213801 has 2 divisors, whose sum is σ = 4144340213802. Its totient is φ = 4144340213800.

The previous prime is 4144340213749. The next prime is 4144340213857. The reversal of 4144340213801 is 1083120434414.

4144340213801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4143362025625 + 978188176 = 2035525^2 + 31276^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144340213801 - 26 = 4144340213737 is a prime.

It is not a weakly prime, because it can be changed into another prime (4144340213861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072170106900 + 2072170106901.

It is an arithmetic number, because the mean of its divisors is an integer number (2072170106901).

Almost surely, 24144340213801 is an apocalyptic number.

It is an amenable number.

4144340213801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144340213801 is an equidigital number, since it uses as much as digits as its factorization.

4144340213801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 4144340213801 in words is "four trillion, one hundred forty-four billion, three hundred forty million, two hundred thirteen thousand, eight hundred one".