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214004141 = 1335814597
BaseRepresentation
bin11001100000101…
…11000110101101
3112220200112111022
430300113012231
5414241113031
633122503525
75206001531
oct1460270655
9486615438
10214004141
11aa88852a
125b804ba5
133544b590
14205c9bc1
1513bc397b
hexcc171ad

214004141 has 8 divisors (see below), whose sum is σ = 230580504. Its totient is φ = 197444160.

The previous prime is 214004123. The next prime is 214004183. The reversal of 214004141 is 141400412.

214004141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5808100 + 208196041 = 2410^2 + 14429^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214004141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214004111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44255 + ... + 48851.

It is an arithmetic number, because the mean of its divisors is an integer number (28822563).

Almost surely, 2214004141 is an apocalyptic number.

It is an amenable number.

214004141 is a deficient number, since it is larger than the sum of its proper divisors (16576363).

214004141 is a wasteful number, since it uses less digits than its factorization.

214004141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 214004141 is about 14628.8803741093. The cubic root of 214004141 is about 598.1462610589.

Adding to 214004141 its reverse (141400412), we get a palindrome (355404553).

The spelling of 214004141 in words is "two hundred fourteen million, four thousand, one hundred forty-one".

Divisors: 1 13 3581 4597 46553 59761 16461857 214004141