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2044144033 is a prime number
BaseRepresentation
bin111100111010111…
…0010100110100001
312021110102021110021
41321311302212201
513141300102113
6534501033441
7101440636411
oct17165624641
95243367407
102044144033
11959958738
124906b5881
132676621a9
141556aa641
15be6d248d
hex79d729a1

2044144033 has 2 divisors, whose sum is σ = 2044144034. Its totient is φ = 2044144032.

The previous prime is 2044144007. The next prime is 2044144097. The reversal of 2044144033 is 3304414402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1672155664 + 371988369 = 40892^2 + 19287^2 .

It is a cyclic number.

It is not a de Polignac number, because 2044144033 - 25 = 2044144001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2044143989 and 2044144007.

It is not a weakly prime, because it can be changed into another prime (2044144933) 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, 1022072016 + 1022072017.

It is an arithmetic number, because the mean of its divisors is an integer number (1022072017).

Almost surely, 22044144033 is an apocalyptic number.

It is an amenable number.

2044144033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2044144033 is an equidigital number, since it uses as much as digits as its factorization.

2044144033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2044144033 is about 45212.2111049659. The cubic root of 2044144033 is about 1269.1233400633.

Adding to 2044144033 its reverse (3304414402), we get a palindrome (5348558435).

The spelling of 2044144033 in words is "two billion, forty-four million, one hundred forty-four thousand, thirty-three".