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4441120404 = 22371272111973
BaseRepresentation
bin1000010001011011…
…00001111010010100
3102110111202021212220
410020231201322110
533043411323104
62012404342340
7215024620620
oct41055417224
912414667786
104441120404
111979995546
12a3b3a49b0
1355a12c7c6
14301b80180
151aed5c7d9
hex108b61e94

4441120404 has 96 divisors (see below), whose sum is σ = 11998887936. Its totient is φ = 1252298880.

The previous prime is 4441120391. The next prime is 4441120421. The reversal of 4441120404 is 4040211444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2249962 + ... + 2251934.

It is an arithmetic number, because the mean of its divisors is an integer number (124988416).

Almost surely, 24441120404 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 4441120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999443968).

4441120404 is an abundant number, since it is smaller than the sum of its proper divisors (7557767532).

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

4441120404 is a wasteful number, since it uses less digits than its factorization.

4441120404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4441120404 is about 66641.7317001892. The cubic root of 4441120404 is about 1643.7313912238.

Adding to 4441120404 its reverse (4040211444), we get a palindrome (8481331848).

The spelling of 4441120404 in words is "four billion, four hundred forty-one million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 211 254 381 422 508 633 762 844 889 1266 1477 1524 1778 1973 2532 2667 2954 3556 3946 4431 5334 5908 5919 7892 8862 10668 11838 13811 17724 23676 26797 27622 41433 53594 55244 80391 82866 107188 160782 165732 187579 250571 321564 375158 416303 501142 562737 750316 751713 832606 1002284 1125474 1248909 1503426 1665212 1753997 2250948 2497818 2914121 3006852 3507994 4995636 5261991 5828242 7015988 8742363 10523982 11656484 17484726 21047964 34969452 52870481 105740962 158611443 211481924 317222886 370093367 634445772 740186734 1110280101 1480373468 2220560202 4441120404