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4441164112 = 247115961099
BaseRepresentation
bin1000010001011011…
…01100100101010000
3102110111211111211201
410020231230211100
533043414222422
62012405320544
7215025162220
oct41055544520
912414744751
104441164112
111979a15370
12a3b406154
1355a146678
14301b92080
151aed6a727
hex108b6c950

4441164112 has 80 divisors (see below), whose sum is σ = 10910016000. Its totient is φ = 1700968320.

The previous prime is 4441164107. The next prime is 4441164121. The reversal of 4441164112 is 2114611444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42139 + ... + 103237.

It is an arithmetic number, because the mean of its divisors is an integer number (136375200).

It is a self-describing number.

Almost surely, 24441164112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455008000).

4441164112 is an abundant number, since it is smaller than the sum of its proper divisors (6468851888).

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

4441164112 is a wasteful number, since it uses less digits than its factorization.

4441164112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61184 (or 61178 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 4441164112 is about 66642.0596320372. The cubic root of 4441164112 is about 1643.7367835550.

Adding to 4441164112 its reverse (2114611444), we get a palindrome (6555775556).

The spelling of 4441164112 in words is "four billion, four hundred forty-one million, one hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 308 413 472 616 649 826 944 1232 1298 1652 2596 3304 4543 5192 6608 9086 10384 18172 36344 61099 72688 122198 244396 427693 488792 672089 855386 977584 1344178 1710772 2688356 3421544 3604841 4704623 5376712 6843088 7209682 9409246 10753424 14419364 18818492 25233887 28838728 37636984 39653251 50467774 57677456 75273968 79306502 100935548 158613004 201871096 277572757 317226008 403742192 555145514 634452016 1110291028 2220582056 4441164112