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12114000414 = 233953235397
BaseRepresentation
bin10110100100000110…
…01111101000011110
31011021020121222112000
423102003033220132
5144302141003124
65322021023130
7606124206315
oct132203175036
934236558460
1012114000414
11515704589a
122420b54aa6
1311b096a9a9
1482cc1527c
154ad78d6c9
hex2d20cfa1e

12114000414 has 32 divisors (see below), whose sum is σ = 26948363040. Its totient is φ = 4033745856.

The previous prime is 12114000397. The next prime is 12114000421. The reversal of 12114000414 is 41400041121.

12114000414 is a `hidden beast` number, since 1 + 211 + 40 + 0 + 0 + 414 = 666.

12114000414 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 3×121140004143 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 66237 + ... + 169160.

It is an arithmetic number, because the mean of its divisors is an integer number (842136345).

Almost surely, 212114000414 is an apocalyptic number.

12114000414 is an abundant number, since it is smaller than the sum of its proper divisors (14834362626).

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

12114000414 is a wasteful number, since it uses less digits than its factorization.

12114000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236361 (or 236355 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12114000414 its reverse (41400041121), we get a palindrome (53514041535).

The spelling of 12114000414 in words is "twelve billion, one hundred fourteen million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 953 1906 2859 5718 8577 17154 25731 51462 235397 470794 706191 1412382 2118573 4237146 6355719 12711438 224333341 448666682 673000023 1346000046 2019000069 4038000138 6057000207 12114000414