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10144439857 is a prime number
BaseRepresentation
bin10010111001010011…
…11101111000110001
3222011222112221100201
421130221331320301
5131233434033412
64354342315201
7506250213256
oct113451757061
928158487321
1010144439857
1143362a98a2
121b71428b01
13c588c0646
146c340142d
153e58dee57
hex25ca7de31

10144439857 has 2 divisors, whose sum is σ = 10144439858. Its totient is φ = 10144439856.

The previous prime is 10144439839. The next prime is 10144439867. The reversal of 10144439857 is 75893444101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7892367921 + 2252071936 = 88839^2 + 47456^2 .

It is an emirp because it is prime and its reverse (75893444101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10144439857 - 219 = 10143915569 is a prime.

It is not a weakly prime, because it can be changed into another prime (10144439867) 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, 5072219928 + 5072219929.

It is an arithmetic number, because the mean of its divisors is an integer number (5072219929).

Almost surely, 210144439857 is an apocalyptic number.

It is an amenable number.

10144439857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144439857 is an equidigital number, since it uses as much as digits as its factorization.

10144439857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 10144439857 in words is "ten billion, one hundred forty-four million, four hundred thirty-nine thousand, eight hundred fifty-seven".