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12114410424 = 233577874813
BaseRepresentation
bin10110100100001001…
…10011101110111000
31011021021101210221120
423102010303232320
5144302242113144
65322033505240
7606130534554
oct132204635670
934237353846
1012114410424
1151572a5946
122421112220
1311b0a824bc
1482ccc0864
154ad81ee19
hex2d2133bb8

12114410424 has 32 divisors (see below), whose sum is σ = 30338549520. Its totient is φ = 4031133696.

The previous prime is 12114410401. The next prime is 12114410449. The reversal of 12114410424 is 42401441121.

12114410424 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-3 number, since 3×121144104243 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12114410394 and 12114410403.

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 7 ways as a sum of consecutive naturals, for example, 423559 + ... + 451254.

Almost surely, 212114410424 is an apocalyptic number.

It is an amenable number.

12114410424 is an abundant number, since it is smaller than the sum of its proper divisors (18224139096).

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

12114410424 is a wasteful number, since it uses less digits than its factorization.

12114410424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875399 (or 875395 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12114410424 its reverse (42401441121), we get a palindrome (54515851545).

The spelling of 12114410424 in words is "twelve billion, one hundred fourteen million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 577 1154 1731 2308 3462 4616 6924 13848 874813 1749626 2624439 3499252 5248878 6998504 10497756 20995512 504767101 1009534202 1514301303 2019068404 3028602606 4038136808 6057205212 12114410424