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4433416143344 = 242943222204097
BaseRepresentation
bin100000010000011110000…
…1100011100000111110000
3120200211102101122000222122
41000200330030130013300
51040114114013041334
613232403330053412
7635206120304426
oct100407414340760
916624371560878
104433416143344
11145a22391a061
125b728611a268
132620b9487856
1411481551b116
157a4cb37332e
hex4083c31c1f0

4433416143344 has 40 divisors (see below), whose sum is σ = 9092591690160. Its totient is φ = 2090496135168.

The previous prime is 4433416143271. The next prime is 4433416143379.

4433416143344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4433416143295 and 4433416143304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111082097 + ... + 111122000.

It is an arithmetic number, because the mean of its divisors is an integer number (227314792254).

Almost surely, 24433416143344 is an apocalyptic number.

It is an amenable number.

4433416143344 is an abundant number, since it is smaller than the sum of its proper divisors (4659175546816).

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

4433416143344 is a wasteful number, since it uses less digits than its factorization.

4433416143344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222204177 (or 222204171 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 44.

The spelling of 4433416143344 in words is "four trillion, four hundred thirty-three billion, four hundred sixteen million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 2494 4988 9976 19952 222204097 444408194 888816388 1777632776 3555265552 6443918813 9554776171 12887837626 19109552342 25775675252 38219104684 51551350504 76438209368 103102701008 152876418736 277088508959 554177017918 1108354035836 2216708071672 4433416143344