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14246442224 = 247472706391
BaseRepresentation
bin11010100010010011…
…10111010011110000
31100202212012020202022
431101021313103300
5213134042122344
610313354411012
71013016521660
oct152111672360
940685166668
1014246442224
1160508219a3
122917130a68
1314606a7091
149921081a0
15585ab30ee
hex3512774f0

14246442224 has 40 divisors (see below), whose sum is σ = 32216890368. Its totient is φ = 5975709120.

The previous prime is 14246442209. The next prime is 14246442227. The reversal of 14246442224 is 42224464241.

It is a happy number.

14246442224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142464422242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14246442227) 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 7 ways as a sum of consecutive naturals, for example, 1347932 + ... + 1358459.

Almost surely, 214246442224 is an apocalyptic number.

14246442224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14246442224 is an abundant number, since it is smaller than the sum of its proper divisors (17970448144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14246442224 is a wasteful number, since it uses less digits than its factorization.

14246442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706453 (or 2706447 counting only the distinct ones).

The product of its digits is 98304, while the sum is 35.

The spelling of 14246442224 in words is "fourteen billion, two hundred forty-six million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 2706391 5412782 10825564 18944737 21651128 37889474 43302256 75778948 127200377 151557896 254400754 303115792 508801508 890402639 1017603016 1780805278 2035206032 3561610556 7123221112 14246442224