Search a number
-
+
44120141104 = 24132972710061
BaseRepresentation
bin101001000101110000…
…111110110100110000
311012212210211101120011
4221011300332310300
51210324224003404
632133555424304
73121224003664
oct510560766460
9135783741504
1044120141104
1117790740036
1286738b5094
13421184a190
1421c78768a4
15123358e604
hexa45c3ed30

44120141104 has 80 divisors (see below), whose sum is σ = 95373270720. Its totient is φ = 19631969280.

The previous prime is 44120141083. The next prime is 44120141173. The reversal of 44120141104 is 40114102144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4380234 + ... + 4390294.

It is an arithmetic number, because the mean of its divisors is an integer number (1192165884).

Almost surely, 244120141104 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 44120141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47686635360).

44120141104 is an abundant number, since it is smaller than the sum of its proper divisors (51253129616).

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

44120141104 is a wasteful number, since it uses less digits than its factorization.

44120141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 44120141104 its reverse (40114102144), we get a palindrome (84234243248).

The spelling of 44120141104 in words is "forty-four billion, one hundred twenty million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 727 754 1454 1508 2908 3016 5816 6032 9451 10061 11632 18902 20122 21083 37804 40244 42166 75608 80488 84332 130793 151216 160976 168664 261586 274079 291769 337328 523172 548158 583538 1046344 1096316 1167076 2092688 2192632 2334152 3792997 4385264 4668304 7314347 7585994 14628694 15171988 29257388 30343976 58514776 60687952 95086511 117029552 190173022 212116063 380346044 424232126 760692088 848464252 1521384176 1696928504 2757508819 3393857008 5515017638 11030035276 22060070552 44120141104