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214200434444 = 221924716718899
BaseRepresentation
bin1100011101111101010…
…1110011111100001100
3202110212222220111102212
43013133111303330030
512002140302400234
6242222522405552
721322041436343
oct3073725637414
9673788814385
10214200434444
1182929619837
123561b3608b8
1317278307cc9
14a520050b5a
155889e9a5ce
hex31df573f0c

214200434444 has 72 divisors (see below), whose sum is σ = 406476403200. Its totient is φ = 98704707552.

The previous prime is 214200434411. The next prime is 214200434453. The reversal of 214200434444 is 444434002412.

It is a super-3 number, since 3×2142004344443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214200434444.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11324507 + ... + 11343405.

It is an arithmetic number, because the mean of its divisors is an integer number (5645505600).

Almost surely, 2214200434444 is an apocalyptic number.

It is an amenable number.

214200434444 is a deficient number, since it is larger than the sum of its proper divisors (192275968756).

214200434444 is a wasteful number, since it uses less digits than its factorization.

214200434444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19155 (or 19134 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 214200434444 its reverse (444434002412), we get a palindrome (658634436856).

The spelling of 214200434444 in words is "two hundred fourteen billion, two hundred million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 19 38 47 76 94 167 188 334 361 668 722 893 1444 1786 3173 3572 6346 7849 12692 15698 16967 18899 31396 33934 37798 60287 67868 75596 120574 149131 241148 298262 359081 596524 718162 888253 1436324 1776506 2833489 3156133 3553012 5666978 6312266 6822539 11333956 12624532 13645078 16876807 27290156 33753614 59966527 67507228 119933054 148338251 239866108 296676502 320659333 593353004 641318666 1139364013 1282637332 2278728026 2818426769 4557456052 5636853538 11273707076 53550108611 107100217222 214200434444