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219240040644 = 22327383424673
BaseRepresentation
bin1100110000101110111…
…0011000100011000100
3202221220012211000111100
43030023232120203010
512043000422300034
6244414550540100
721560654411652
oct3141356304304
9687805730440
10219240040644
1184a85318539
12365a7067630
131789c423101
14a87b4a1dd2
155a82627099
hex330bb988c4

219240040644 has 36 divisors (see below), whose sum is σ = 561781754716. Its totient is φ = 72078916608.

The previous prime is 219240040631. The next prime is 219240040651. The reversal of 219240040644 is 446040042912.

It is a happy number.

219240040644 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 4 + 0 + 0 + 4 + 0 + 644 = 666.

219240040644 is digitally balanced in base 3, 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 2 ways, for example, as 79185960000 + 140054080644 = 281400^2 + 374238^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 219240040599 and 219240040608.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41709709 + ... + 41714964.

Almost surely, 2219240040644 is an apocalyptic number.

It is an amenable number.

219240040644 is an abundant number, since it is smaller than the sum of its proper divisors (342541714072).

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

219240040644 is a wasteful number, since it uses less digits than its factorization.

219240040644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83424756 (or 83424751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 219240040644 in words is "two hundred nineteen billion, two hundred forty million, forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 83424673 166849346 250274019 333698692 500548038 750822057 1001096076 1501644114 3003288228 6090001129 12180002258 18270003387 24360004516 36540006774 54810010161 73080013548 109620020322 219240040644