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214313666320 = 24513206070833
BaseRepresentation
bin1100011110011000010…
…1110000011100010000
3202111011212222021101001
43013212011300130100
512002403244310240
6242242045351344
721324615051415
oct3074605603420
9674155867331
10214313666320
11829875285a6
1235651268554
1317295902410
14a5310c810c
155894db589a
hex31e6170710

214313666320 has 40 divisors (see below), whose sum is σ = 536608451736. Its totient is φ = 79131199488.

The previous prime is 214313666311. The next prime is 214313666351. The reversal of 214313666320 is 23666313412.

It can be written as a sum of positive squares in 4 ways, for example, as 34279781904 + 180033884416 = 185148^2 + 424304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 214313666320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103034377 + ... + 103036456.

Almost surely, 2214313666320 is an apocalyptic number.

214313666320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214313666320 is an abundant number, since it is smaller than the sum of its proper divisors (322294785416).

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

214313666320 is a wasteful number, since it uses less digits than its factorization.

214313666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206070859 (or 206070853 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 214313666320 its reverse (23666313412), we get a palindrome (237979979732).

The spelling of 214313666320 in words is "two hundred fourteen billion, three hundred thirteen million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 206070833 412141666 824283332 1030354165 1648566664 2060708330 2678920829 3297133328 4121416660 5357841658 8242833320 10715683316 13394604145 16485666640 21431366632 26789208290 42862733264 53578416580 107156833160 214313666320