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14457411136 = 26732271007
BaseRepresentation
bin11010111011011101…
…01001011001000000
31101022120011120200201
431131232221121000
5214102044124021
610350332254544
71021160652460
oct153556513100
941276146621
1014457411136
116149916a73
122975911454
131495301c5c
149b2143ba0
15599387591
hex35dba9640

14457411136 has 28 divisors (see below), whose sum is σ = 32787344128. Its totient is φ = 6196033152.

The previous prime is 14457411121. The next prime is 14457411173. The reversal of 14457411136 is 63111475441.

14457411136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 14457411095 and 14457411104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16135056 + ... + 16135951.

It is an arithmetic number, because the mean of its divisors is an integer number (1170976576).

Almost surely, 214457411136 is an apocalyptic number.

14457411136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14457411136 is an abundant number, since it is smaller than the sum of its proper divisors (18329932992).

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

14457411136 is an equidigital number, since it uses as much as digits as its factorization.

14457411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32271026 (or 32271016 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

Adding to 14457411136 its reverse (63111475441), we get a palindrome (77568886577).

The spelling of 14457411136 in words is "fourteen billion, four hundred fifty-seven million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 32271007 64542014 129084028 225897049 258168056 451794098 516336112 903588196 1032672224 1807176392 2065344448 3614352784 7228705568 14457411136