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10144456223 = 1117190728447
BaseRepresentation
bin10010111001010100…
…00001111000011111
3222011222120202210212
421130222001320133
5131233440044343
64354342523035
7506250312056
oct113452017037
928158522725
1010144456223
114336310120
121b7143647b
13c588c7c25
146c340739d
153e58e4c18
hex25ca81e1f

10144456223 has 16 divisors (see below), whose sum is σ = 11724217344. Its totient is φ = 8674892160.

The previous prime is 10144456211. The next prime is 10144456243. The reversal of 10144456223 is 32265444101.

10144456223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144456223 - 26 = 10144456159 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10144456223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144456243) 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 in 15 ways as a sum of consecutive naturals, for example, 342386 + ... + 370832.

It is an arithmetic number, because the mean of its divisors is an integer number (732763584).

Almost surely, 210144456223 is an apocalyptic number.

10144456223 is a deficient number, since it is larger than the sum of its proper divisors (1579761121).

10144456223 is a wasteful number, since it uses less digits than its factorization.

10144456223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30382.

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10144456223 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred twenty-three".

Divisors: 1 11 17 187 1907 20977 28447 32419 312917 356609 483599 5319589 54248429 596732719 922223293 10144456223