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144441424000441 is a prime number
BaseRepresentation
bin100000110101111001100011…
…110001001011010110111001
3200221102110120012001212101201
4200311321203301023112321
5122413012014021003231
61231111250225214201
742265356065266621
oct4065714361132671
9627373505055351
10144441424000441
114202929a2a4917
1214249870791361
1362799c9c2c719
142795006159881
1511a73bd8ad161
hex835e63c4b5b9

144441424000441 has 2 divisors, whose sum is σ = 144441424000442. Its totient is φ = 144441424000440.

The previous prime is 144441424000399. The next prime is 144441424000481. The reversal of 144441424000441 is 144000424144441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74461021646400 + 69980402354041 = 8629080^2 + 8365429^2 .

It is a cyclic number.

It is not a de Polignac number, because 144441424000441 - 211 = 144441423998393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144441424000441.

It is not a weakly prime, because it can be changed into another prime (144441424000481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72220712000220 + 72220712000221.

It is an arithmetic number, because the mean of its divisors is an integer number (72220712000221).

Almost surely, 2144441424000441 is an apocalyptic number.

It is an amenable number.

144441424000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144441424000441 is an equidigital number, since it uses as much as digits as its factorization.

144441424000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131072, while the sum is 37.

Adding to 144441424000441 its reverse (144000424144441), we get a palindrome (288441848144882).

The spelling of 144441424000441 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred twenty-four million, four hundred forty-one", and thus it is an aban number.