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1144401311029 is a prime number
BaseRepresentation
bin10000101001110011101…
…000100011010100110101
311001101220021222001220211
4100221303220203110311
5122222213213423104
62233421455425421
7145452221433634
oct20516350432465
94041807861824
101144401311029
11401379784169
12165961825271
1383bbb95c492
143d56441151b
151eb7da7ee04
hex10a73a23535

1144401311029 has 2 divisors, whose sum is σ = 1144401311030. Its totient is φ = 1144401311028.

The previous prime is 1144401310991. The next prime is 1144401311063. The reversal of 1144401311029 is 9201131044411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796336710129 + 348064600900 = 892377^2 + 589970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1144401311029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1144401311129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 572200655514 + 572200655515.

It is an arithmetic number, because the mean of its divisors is an integer number (572200655515).

Almost surely, 21144401311029 is an apocalyptic number.

It is an amenable number.

1144401311029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1144401311029 is an equidigital number, since it uses as much as digits as its factorization.

1144401311029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 1144401311029 in words is "one trillion, one hundred forty-four billion, four hundred one million, three hundred eleven thousand, twenty-nine".