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4433244423344 = 241123173867709
BaseRepresentation
bin100000010000011000111…
…1101011000010010110000
3120200210222102111202102122
41000200301331120102300
51040113241033021334
613232334313333412
7635201633563142
oct100406175302260
916623872452378
104433244423344
11145a1459a2300
125b7238707268
1326208ca22699
141147da7bac92
157a4bb25332e
hex40831f584b0

4433244423344 has 60 divisors (see below), whose sum is σ = 9745810186560. Its totient is φ = 1950107491200.

The previous prime is 4433244423337. The next prime is 4433244423347.

4433244423344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44332444233442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4433244423295 and 4433244423304.

It is not an unprimeable number, because it can be changed into a prime (4433244423347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36873839 + ... + 36993870.

It is an arithmetic number, because the mean of its divisors is an integer number (162430169776).

Almost surely, 24433244423344 is an apocalyptic number.

4433244423344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4433244423344 is an abundant number, since it is smaller than the sum of its proper divisors (5312565763216).

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

4433244423344 is a wasteful number, since it uses less digits than its factorization.

4433244423344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73867770 (or 73867753 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

The spelling of 4433244423344 in words is "four trillion, four hundred thirty-three billion, two hundred forty-four million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1364 1936 2728 3751 5456 7502 15004 30008 60016 73867709 147735418 295470836 590941672 812544799 1181883344 1625089598 2289898979 3250179196 4579797958 6500358392 8937992789 9159595916 13000716784 17875985578 18319191832 25188888769 35751971156 36638383664 50377777538 71503942312 100755555076 143007884624 201511110152 277077776459 403022220304 554155552918 1108311105836 2216622211672 4433244423344