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4441338331444 = 227297976862771
BaseRepresentation
bin100000010100001010001…
…1001001100000100110100
3120201120212111121220000201
41000220110121030010310
51040231330103101234
613240153410050244
7635606334633640
oct100502431140464
916646774556021
104441338331444
111462619780253
125b8917279984
13262a7c855511
14114d6772bc20
157a7e1aed314
hex40a1464c134

4441338331444 has 48 divisors (see below), whose sum is σ = 9200506654080. Its totient is φ = 1835489013120.

The previous prime is 4441338331433. The next prime is 4441338331489.

4441338331444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4441338331394 and 4441338331403.

It is a congruent number.

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, 2784222 + ... + 4078549.

It is an arithmetic number, because the mean of its divisors is an integer number (191677221960).

Almost surely, 24441338331444 is an apocalyptic number.

It is an amenable number.

4441338331444 is an abundant number, since it is smaller than the sum of its proper divisors (4759168322636).

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

4441338331444 is a wasteful number, since it uses less digits than its factorization.

4441338331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863608 (or 6863606 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 46.

The spelling of 4441338331444 in words is "four trillion, four hundred forty-one billion, three hundred thirty-eight million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 797 812 1594 3188 5579 11158 22316 23113 46226 92452 161791 323582 647164 6862771 13725542 27451084 48039397 96078794 192157588 199020359 398040718 796081436 1393142513 2786285026 5469628487 5572570052 10939256974 21878513948 38287399409 76574798818 153149597636 158619226123 317238452246 634476904492 1110334582861 2220669165722 4441338331444