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214118127441 = 321542432
BaseRepresentation
bin1100011101101001101…
…1110101011101010001
3202110200021000212110100
43013122123311131101
512002003220034231
6242210422323013
721320022024261
oct3073233653521
9673607025410
10214118127441
1182897112319
12355b7889469
131726424a83a
14a5131477a1
155882b3d1e6
hex31da6f5751

214118127441 has 9 divisors (see below), whose sum is σ = 309283744809. Its totient is φ = 142744492836.

The previous prime is 214118127407. The next prime is 214118127481. The reversal of 214118127441 is 144721811412.

The square root of 214118127441 is 462729.

It is a perfect power (a square), and thus also a powerful number.

214118127441 is a `hidden beast` number, since 2 + 14 + 1 + 181 + 27 + 441 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-214118127441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214118127396 and 214118127405.

It is not an unprimeable number, because it can be changed into a prime (214118127481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1311066 + ... + 1465308.

Almost surely, 2214118127441 is an apocalyptic number.

214118127441 is the 462729-th square number.

214118127441 is the 231365-th centered octagonal number.

It is an amenable number.

214118127441 is a deficient number, since it is larger than the sum of its proper divisors (95165617368).

214118127441 is an frugal number, since it uses more digits than its factorization.

214118127441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308492 (or 154246 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

Multiplying 214118127441 by its sum of digits (36), we get a square (7708252587876 = 27763742).

Adding to 214118127441 its reverse (144721811412), we get a palindrome (358839938853).

The spelling of 214118127441 in words is "two hundred fourteen billion, one hundred eighteen million, one hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 154243 462729 1388187 23790903049 71372709147 214118127441