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214330020004044 = 2232717216071831339
BaseRepresentation
bin110000101110111010011000…
…101101010000000011001100
31001002212202020121102020211200
4300232322120231100003030
5211043040340110112134
62035501504002345500
763100555461513360
oct6056723055200314
91032782217366750
10214330020004044
116232393a7a162a
122005671605b290
1392793075bba19
143acd8b21692a0
1519ba337dc7499
hexc2ee98b500cc

214330020004044 has 216 divisors, whose sum is σ = 658149840741120. Its totient is φ = 57599066967552.

The previous prime is 214330020004007. The next prime is 214330020004063. The reversal of 214330020004044 is 440400020033412.

It is a happy number.

214330020004044 is a `hidden beast` number, since 21 + 4 + 3 + 30 + 0 + 200 + 0 + 404 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214330020003999 and 214330020004017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116118927 + ... + 117950265.

Almost surely, 2214330020004044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214330020004044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329074920370560).

214330020004044 is an abundant number, since it is smaller than the sum of its proper divisors (443819820737076).

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

214330020004044 is a wasteful number, since it uses less digits than its factorization.

214330020004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832997 (or 1832975 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 214330020004044 its reverse (440400020033412), we get a palindrome (654730040037456).

The spelling of 214330020004044 in words is "two hundred fourteen trillion, three hundred thirty billion, twenty million, four thousand, forty-four".