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214303201424 = 24131760606109
BaseRepresentation
bin1100011110010101110…
…1110101100010010000
3202111011011021121020022
43013211131311202100
512002343104421144
6242241033203012
721324430104464
oct3074535654220
9674134247208
10214303201424
1182981630124
1235649860468
13172936aa080
14a52d9624a4
155893ee9cee
hex31e5775890

214303201424 has 40 divisors (see below), whose sum is σ = 473454931320. Its totient is φ = 93090981888.

The previous prime is 214303201367. The next prime is 214303201433. The reversal of 214303201424 is 424102303412.

214303201424 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 4 ways, for example, as 14672961424 + 199630240000 = 121132^2 + 446800^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 214303201393 and 214303201402.

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 7 ways as a sum of consecutive naturals, for example, 30299519 + ... + 30306590.

It is an arithmetic number, because the mean of its divisors is an integer number (11836373283).

Almost surely, 2214303201424 is an apocalyptic number.

It is an amenable number.

214303201424 is an abundant number, since it is smaller than the sum of its proper divisors (259151729896).

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

214303201424 is a wasteful number, since it uses less digits than its factorization.

214303201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60606147 (or 60606141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 214303201424 its reverse (424102303412), we get a palindrome (638405504836).

The spelling of 214303201424 in words is "two hundred fourteen billion, three hundred three million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 60606109 121212218 242424436 484848872 787879417 969697744 1030303853 1575758834 2060607706 3151517668 4121215412 6303035336 8242430824 12606070672 13393950089 16484861648 26787900178 53575800356 107151600712 214303201424