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214004302241211 = 3423926941094841
BaseRepresentation
bin110000101010001011000010…
…011010100101110110111011
31001001201121111202222111210000
4300222023002122211312323
5211022221302333204321
62035052115204324043
763035205052304436
oct6052130232456673
91031647452874700
10214004302241211
1162208795597489
12200035739a3623
139254699638491
143abbc1360081d
1519b1b22a15826
hexc2a2c26a5dbb

214004302241211 has 40 divisors (see below), whose sum is σ = 322216437153600. Its totient is φ = 141544436826240.

The previous prime is 214004302241209. The next prime is 214004302241239. The reversal of 214004302241211 is 112142203400412.

214004302241211 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 430 + 224 + 1 + 2 + 1 + 1 = 666.

214004302241211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214004302241211 - 21 = 214004302241209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214004302243211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15339850 + ... + 25754991.

It is an arithmetic number, because the mean of its divisors is an integer number (8055410928840).

Almost surely, 2214004302241211 is an apocalyptic number.

214004302241211 is a deficient number, since it is larger than the sum of its proper divisors (108212134912389).

214004302241211 is a wasteful number, since it uses less digits than its factorization.

214004302241211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41095361 (or 41095352 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214004302241211 its reverse (112142203400412), we get a palindrome (326146505641623).

The spelling of 214004302241211 in words is "two hundred fourteen trillion, four billion, three hundred two million, two hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 9 27 81 239 269 717 807 2151 2421 6453 7263 19359 21789 64291 192873 578619 1735857 5207571 41094841 123284523 369853569 1109560707 3328682121 9821666999 11054512229 29465000997 33163536687 88395002991 99490610061 265185008973 298471830183 795555026919 895415490549 2642028422731 7926085268193 23778255804579 71334767413737 214004302241211