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214443344412 = 223211909159567
BaseRepresentation
bin1100011110110111010…
…0011100001000011100
3202111111220222121021100
43013231310130020130
512003134444010122
6242303001033100
721331051231563
oct3075564341034
9674456877240
10214443344412
1182a4374a680
1235688785790
13172b673750b
14a544402bda
1558a147daac
hex31edd1c21c

214443344412 has 72 divisors (see below), whose sum is σ = 591418743552. Its totient is φ = 64974592800.

The previous prime is 214443344411. The next prime is 214443344543.

214443344412 is a `hidden beast` number, since 2 + 144 + 43 + 34 + 441 + 2 = 666.

214443344412 is nontrivially palindromic in base 10.

214443344412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214443344411) 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, 3570253 + ... + 3629819.

It is an arithmetic number, because the mean of its divisors is an integer number (8214149216).

Almost surely, 2214443344412 is an apocalyptic number.

214443344412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214443344412 is an abundant number, since it is smaller than the sum of its proper divisors (376975399140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214443344412 is a wasteful number, since it uses less digits than its factorization.

214443344412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68679 (or 68674 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 214443 and 344412, that added together give a palindrome (558855).

The spelling of 214443344412 in words is "two hundred fourteen billion, four hundred forty-three million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 9091 18182 27273 36364 54546 59567 81819 100001 109092 119134 163638 178701 200002 238268 300003 327276 357402 400004 536103 600006 655237 714804 900009 1072206 1200012 1310474 1800018 1965711 2144412 2620948 3600036 3931422 5897133 7862844 11794266 23588532 541523597 1083047194 1624570791 2166094388 3249141582 4873712373 5956759567 6498283164 9747424746 11913519134 17870278701 19494849492 23827038268 35740557402 53610836103 71481114804 107221672206 214443344412