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14542413024 = 253151483469
BaseRepresentation
bin11011000101100101…
…11001110011100000
31101112111010010100210
431202302321303200
5214240324204044
610403010214120
71023242320416
oct154262716340
941474103323
1014542413024
1161928a4167
12299a284340
1314a9ac3c29
149bd54d2b6
155a1a781b9
hex362cb9ce0

14542413024 has 24 divisors (see below), whose sum is σ = 38173834440. Its totient is φ = 4847470976.

The previous prime is 14542413019. The next prime is 14542413089. The reversal of 14542413024 is 42031424541.

14542413024 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 (24).

It is a super-2 number, since 2×145424130242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14542412982 and 14542413000.

It is a congruent number.

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, 75741639 + ... + 75741830.

It is an arithmetic number, because the mean of its divisors is an integer number (1590576435).

Almost surely, 214542413024 is an apocalyptic number.

It is an amenable number.

14542413024 is an abundant number, since it is smaller than the sum of its proper divisors (23631421416).

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

14542413024 is a wasteful number, since it uses less digits than its factorization.

14542413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151483482 (or 151483474 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14542413024 its reverse (42031424541), we get a palindrome (56573837565).

The spelling of 14542413024 in words is "fourteen billion, five hundred forty-two million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151483469 302966938 454450407 605933876 908900814 1211867752 1817801628 2423735504 3635603256 4847471008 7271206512 14542413024