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214414414412 = 221123211871951
BaseRepresentation
bin1100011110110000011…
…0000101001001001100
3202111102220112210202212
43013230012011021030
512003110042230122
6242300045005552
721330250310552
oct3075406051114
9674386483685
10214414414412
1182a29390090
123567ab538b8
13172b0748583
14a540631bd2
15589db66ce2
hex31ec18524c

214414414412 has 24 divisors (see below), whose sum is σ = 427133855232. Its totient is φ = 93223658000.

The previous prime is 214414414411. The next prime is 214414414427.

214414414412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2144144144122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214414414411) 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, 105934964 + ... + 105936987.

It is an arithmetic number, because the mean of its divisors is an integer number (17797243968).

Almost surely, 2214414414412 is an apocalyptic number.

214414414412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214414414412 is a deficient number, since it is larger than the sum of its proper divisors (212719440820).

214414414412 is a wasteful number, since it uses less digits than its factorization.

214414414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211871989 (or 211871987 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 214414 and 414412, that added together give a palindrome (628826).

The spelling of 214414414412 in words is "two hundred fourteen billion, four hundred fourteen million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 1012 211871951 423743902 847487804 2330591461 4661182922 4873054873 9322365844 9746109746 19492219492 53603603603 107207207206 214414414412