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10144344377 is a prime number
BaseRepresentation
bin10010111001010011…
…00110100100111001
3222011222101002101102
421130221212210321
5131233423010002
64354340301145
7506246335016
oct113451464471
928158332342
1010144344377
114336244092
121b713a17b5
13c5888904b
146c33b870d
153e58c1a02
hex25ca66939

10144344377 has 2 divisors, whose sum is σ = 10144344378. Its totient is φ = 10144344376.

The previous prime is 10144344361. The next prime is 10144344383. The reversal of 10144344377 is 77344344101.

10144344377 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., 10000800016 + 143544361 = 100004^2 + 11981^2 .

It is an emirp because it is prime and its reverse (77344344101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10144344377 - 24 = 10144344361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10144344377.

It is not a weakly prime, because it can be changed into another prime (10144344307) 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, 5072172188 + 5072172189.

It is an arithmetic number, because the mean of its divisors is an integer number (5072172189).

Almost surely, 210144344377 is an apocalyptic number.

It is an amenable number.

10144344377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144344377 is an equidigital number, since it uses as much as digits as its factorization.

10144344377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 38.

Adding to 10144344377 its reverse (77344344101), we get a palindrome (87488688478).

The spelling of 10144344377 in words is "ten billion, one hundred forty-four million, three hundred forty-four thousand, three hundred seventy-seven".