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214550200413441 = 3241581436857489
BaseRepresentation
bin110000110010000111011100…
…011110110110110100000001
31001010122210120100200221202100
4300302013130132312310001
5211110142302301212231
62040151000144541013
763122511655226244
oct6062073436666401
91033583510627670
10214550200413441
11623a9257904022
1220091324021769
139293cc67a0b39
143ada3dc49525b
1519c0e22d521e6
hexc321dc7b6d01

214550200413441 has 12 divisors (see below), whose sum is σ = 317464524189540. Its totient is φ = 139544845797120.

The previous prime is 214550200413407. The next prime is 214550200413469. The reversal of 214550200413441 is 144314002055412.

214550200413441 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 5 + 0 + 200 + 4 + 1 + 3 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12247340144400 + 202302860269041 = 3499620^2 + 14223321^2 .

It is not a de Polignac number, because 214550200413441 - 210 = 214550200412417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214550200413396 and 214550200413405.

It is not an unprimeable number, because it can be changed into a prime (214550200413401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290718428376 + ... + 290718429113.

It is an arithmetic number, because the mean of its divisors is an integer number (26455377015795).

Almost surely, 2214550200413441 is an apocalyptic number.

It is an amenable number.

214550200413441 is a deficient number, since it is larger than the sum of its proper divisors (102914323776099).

214550200413441 is a wasteful number, since it uses less digits than its factorization.

214550200413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581436857536 (or 581436857533 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 214550200413441 its reverse (144314002055412), we get a palindrome (358864202468853).

The spelling of 214550200413441 in words is "two hundred fourteen trillion, five hundred fifty billion, two hundred million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 581436857489 1744310572467 5232931717401 23838911157049 71516733471147 214550200413441