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214324114420 = 225131600151517
BaseRepresentation
bin1100011110011010110…
…1100111001111110100
3202111012121122002110201
43013212231213033310
512002413433130140
6242243101330244
721325102625353
oct3074655471764
9674177562421
10214324114420
1182992414399
1235654866984
1317297b1cc20
14a53264799a
155895c7b49a
hex31e6b673f4

214324114420 has 48 divisors (see below), whose sum is σ = 484741929168. Its totient is φ = 79128576000.

The previous prime is 214324114397. The next prime is 214324114439. The reversal of 214324114420 is 24411423412.

It can be written as a sum of positive squares in 8 ways, for example, as 10906878096 + 203417236324 = 104436^2 + 451018^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4134502 + ... + 4186018.

It is an arithmetic number, because the mean of its divisors is an integer number (10098790191).

Almost surely, 2214324114420 is an apocalyptic number.

214324114420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214324114420 is an abundant number, since it is smaller than the sum of its proper divisors (270417814748).

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

214324114420 is a wasteful number, since it uses less digits than its factorization.

214324114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67540 (or 67538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214324114420 its reverse (24411423412), we get a palindrome (238735537832).

The spelling of 214324114420 in words is "two hundred fourteen billion, three hundred twenty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 16001 32002 51517 64004 80005 103034 160010 206068 208013 257585 320020 416026 515170 669721 832052 1030340 1040065 1339442 2080130 2678884 3348605 4160260 6697210 13394420 824323517 1648647034 3297294068 4121617585 8243235170 10716205721 16486470340 21432411442 42864822884 53581028605 107162057210 214324114420