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218141308032 = 273568076323
BaseRepresentation
bin1100101100101000111…
…1000011010010000000
3202212001122100121200220
43023022033003102000
512033223133324112
6244113541143040
721521513344614
oct3131217032200
9685048317626
10218141308032
118457109945a
123633b0baa80
13177558c727b
14a7b55b3344
155a1ae4198c
hex32ca3c3480

218141308032 has 32 divisors (see below), whose sum is σ = 579437850480. Its totient is φ = 72713769216.

The previous prime is 218141308013. The next prime is 218141308051. The reversal of 218141308032 is 230803141812.

It is an interprime number because it is at equal distance from previous prime (218141308013) and next prime (218141308051).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 218141307984 and 218141308002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284037778 + ... + 284038545.

Almost surely, 2218141308032 is an apocalyptic number.

It is an amenable number.

218141308032 is an abundant number, since it is smaller than the sum of its proper divisors (361296542448).

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

218141308032 is an equidigital number, since it uses as much as digits as its factorization.

218141308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568076340 (or 568076328 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 218141308032 its reverse (230803141812), we get a palindrome (448944449844).

The spelling of 218141308032 in words is "two hundred eighteen billion, one hundred forty-one million, three hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 568076323 1136152646 1704228969 2272305292 3408457938 4544610584 6816915876 9089221168 13633831752 18178442336 27267663504 36356884672 54535327008 72713769344 109070654016 218141308032