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214324233040 = 2452679052913
BaseRepresentation
bin1100011110011010111…
…0000100001101010000
3202111012121212010012001
43013212232010031100
512002414000424130
6242243104043344
721325103631241
oct3074656041520
9674177763161
10214324233040
1182992495525
1235654903554
1317297b61c08
14a532678cc8
155895ca16ca
hex31e6b84350

214324233040 has 20 divisors (see below), whose sum is σ = 498303842004. Its totient is φ = 85729693184.

The previous prime is 214324233031. The next prime is 214324233041. The reversal of 214324233040 is 40332423412.

It can be written as a sum of positive squares in 2 ways, for example, as 54557747776 + 159766485264 = 233576^2 + 399708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214324233041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1339526377 + ... + 1339526536.

Almost surely, 2214324233040 is an apocalyptic number.

214324233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214324233040 is an abundant number, since it is smaller than the sum of its proper divisors (283979608964).

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

214324233040 is a wasteful number, since it uses less digits than its factorization.

214324233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679052926 (or 2679052920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 214324233040 its reverse (40332423412), we get a palindrome (254656656452).

The spelling of 214324233040 in words is "two hundred fourteen billion, three hundred twenty-four million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2679052913 5358105826 10716211652 13395264565 21432423304 26790529130 42864846608 53581058260 107162116520 214324233040