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214232321412 = 223229205203373
BaseRepresentation
bin1100011110000100111…
…1011100110110000100
3202110222012220112010200
43013201033130312010
512002221433241122
6242230022050500
721322606454304
oct3074117346604
9673865815120
10214232321412
11829456189aa
1235629b79a30
1317281ac0b35
14a524391604
15588cb985ac
hex31e13dcd84

214232321412 has 36 divisors (see below), whose sum is σ = 560205211020. Its totient is φ = 68948332992.

The previous prime is 214232321371. The next prime is 214232321477. The reversal of 214232321412 is 214123232412.

214232321412 is a `hidden beast` number, since 2 + 1 + 423 + 23 + 214 + 1 + 2 = 666.

214232321412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 133907692356 + 80324629056 = 365934^2 + 283416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102600643 + ... + 102602730.

Almost surely, 2214232321412 is an apocalyptic number.

It is an amenable number.

214232321412 is an abundant number, since it is smaller than the sum of its proper divisors (345972889608).

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

214232321412 is a wasteful number, since it uses less digits than its factorization.

214232321412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205203412 (or 205203407 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 214232321412 its reverse (214123232412), we get a palindrome (428355553824).

The spelling of 214232321412 in words is "two hundred fourteen billion, two hundred thirty-two million, three hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 205203373 410406746 615610119 820813492 1231220238 1846830357 2462440476 3693660714 5950897817 7387321428 11901795634 17852693451 23803591268 35705386902 53558080353 71410773804 107116160706 214232321412