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214422400143 = 32729117363109
BaseRepresentation
bin1100011110110010010…
…0100010110010001111
3202111110110120112010200
43013230210202302033
512003114113301033
6242300532104543
721330405220560
oct3075444426217
9674413515120
10214422400143
1182a32944966
1235681765153
13172b22b3363
14a541710167
15589e6e3013
hex31ec922c8f

214422400143 has 24 divisors (see below), whose sum is σ = 366172903200. Its totient is φ = 118302012864.

The previous prime is 214422400141. The next prime is 214422400151. The reversal of 214422400143 is 341004224412.

214422400143 is a `hidden beast` number, since 214 + 4 + 2 + 2 + 400 + 1 + 43 = 666.

214422400143 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 214422400143 - 21 = 214422400141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214422400141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58679728 + ... + 58683381.

It is an arithmetic number, because the mean of its divisors is an integer number (15257204300).

Almost surely, 2214422400143 is an apocalyptic number.

214422400143 is a deficient number, since it is larger than the sum of its proper divisors (151750503057).

214422400143 is a wasteful number, since it uses less digits than its factorization.

214422400143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117363151 (or 117363148 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214422400143 its reverse (341004224412), we get a palindrome (555426624555).

The spelling of 214422400143 in words is "two hundred fourteen billion, four hundred twenty-two million, four hundred thousand, one hundred forty-three".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 117363109 352089327 821541763 1056267981 2464625289 3403530161 7393875867 10210590483 23824711127 30631771449 71474133381 214422400143