Search a number
-
+
10144456373 is a prime number
BaseRepresentation
bin10010111001010100…
…00001111010110101
3222011222120210000102
421130222001322311
5131233440100443
64354342523445
7506250312362
oct113452017265
928158523012
1010144456373
114336310247
121b71436585
13c588c800c
146c3407469
153e58e4cb8
hex25ca81eb5

10144456373 has 2 divisors, whose sum is σ = 10144456374. Its totient is φ = 10144456372.

The previous prime is 10144456297. The next prime is 10144456397. The reversal of 10144456373 is 37365444101.

10144456373 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., 10127000689 + 17455684 = 100633^2 + 4178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10144456373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144450373) 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, 5072228186 + 5072228187.

It is an arithmetic number, because the mean of its divisors is an integer number (5072228187).

Almost surely, 210144456373 is an apocalyptic number.

It is an amenable number.

10144456373 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144456373 is an equidigital number, since it uses as much as digits as its factorization.

10144456373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 10144456373 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, three hundred seventy-three".