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444423203300043 = 3211101310369427381
BaseRepresentation
bin110010100001100110101011…
…1001010011010001011001011
32011021120102222011112222012100
41211003031113022122023023
5431222412210021100133
64213113111232444443
7162416342164503342
oct14503152712321313
92137512864488170
10444423203300043
111196749051a0460
1241a1823b6a9723
13160c9c0b47c7c6
147ba62aab14b59
15365a7027bae13
hex194335729a2cb

444423203300043 has 48 divisors (see below), whose sum is σ = 701063790766560. Its totient is φ = 269054925004800.

The previous prime is 444423203300003. The next prime is 444423203300107. The reversal of 444423203300043 is 340003302324444.

444423203300043 is a `hidden beast` number, since 4 + 4 + 442 + 3 + 203 + 3 + 0 + 0 + 0 + 4 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-444423203300043 is a prime.

It is a super-3 number, since 3×4444232033000433 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444423203299980 and 444423203300007.

It is not an unprimeable number, because it can be changed into a prime (444423203300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039662213 + ... + 1040089593.

It is an arithmetic number, because the mean of its divisors is an integer number (14605495640970).

Almost surely, 2444423203300043 is an apocalyptic number.

444423203300043 is a deficient number, since it is larger than the sum of its proper divisors (256640587466517).

444423203300043 is a wasteful number, since it uses less digits than its factorization.

444423203300043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438780 (or 438777 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 444423203300043 its reverse (340003302324444), we get a palindrome (784426505624487).

The spelling of 444423203300043 in words is "four hundred forty-four trillion, four hundred twenty-three billion, two hundred three million, three hundred thousand, forty-three".

Divisors: 1 3 9 11 33 99 1013 3039 9117 10369 11143 31107 33429 93321 100287 114059 342177 427381 1026531 1282143 3846429 4701191 10503797 14103573 31511391 42310719 94534173 115541767 346625301 432936953 1039875903 1298810859 3896432577 4431513589 4762306483 13294540767 14286919449 39883622301 42860758347 48746649479 146239948437 438719845311 4489123265657 13467369796971 40402109390913 49380355922227 148141067766681 444423203300043