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444434141434444 = 227231609428909339
BaseRepresentation
bin110010100001101011110001…
…1001000000101001001001100
32011021121111012110120202210021
41211003113203020011021030
5431223102110201400234
64213122120450551524
7162420210223222120
oct14503274310051114
92137544173522707
10444434141434444
11119679508513757
1241a1a3928985a4
13160cac62625c95
147ba6a276bd580
15365ab42bd99b4
hex19435e320524c

444434141434444 has 48 divisors (see below), whose sum is σ = 928091186265600. Its totient is φ = 182077160893056.

The previous prime is 444434141434427. The next prime is 444434141434469.

444434141434444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444434141434391 and 444434141434400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213418474 + ... + 215490865.

It is an arithmetic number, because the mean of its divisors is an integer number (19335233047200).

Almost surely, 2444434141434444 is an apocalyptic number.

It is an amenable number.

444434141434444 is an abundant number, since it is smaller than the sum of its proper divisors (483657044831156).

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

444434141434444 is a wasteful number, since it uses less digits than its factorization.

444434141434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428910982 (or 428910980 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 52.

The spelling of 444434141434444 in words is "four hundred forty-four trillion, four hundred thirty-four billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1609 3218 6436 11263 22526 37007 45052 74014 148028 259049 518098 1036196 428909339 857818678 1715637356 3002365373 6004730746 9864914797 12009461492 19729829594 39459659188 69054403579 138108807158 276217614316 690115126451 1380230252902 2760460505804 4830805885157 9661611770314 15872647908373 19323223540628 31745295816746 63490591633492 111108535358611 222217070717222 444434141434444