Search a number
-
+
44102024320 = 27568909413
BaseRepresentation
bin101001000100101011…
…110111110010000000
311012211112201222000011
4221010223313302000
51210310104234240
632132111234304
73120614010244
oct510453676200
9135745658004
1044102024320
1117781496692
128669818994
13420ab75ca3
1421c52bc424
151231bb16ea
hexa44af7c80

44102024320 has 32 divisors (see below), whose sum is σ = 105431403420. Its totient is φ = 17640809472.

The previous prime is 44102024297. The next prime is 44102024327. The reversal of 44102024320 is 2342020144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37825582144 + 6276442176 = 194488^2 + 79224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×441020243203 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44102024291 and 44102024300.

It is not an unprimeable number, because it can be changed into a prime (44102024327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34454067 + ... + 34455346.

Almost surely, 244102024320 is an apocalyptic number.

44102024320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44102024320 is an abundant number, since it is smaller than the sum of its proper divisors (61329379100).

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

44102024320 is an equidigital number, since it uses as much as digits as its factorization.

44102024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68909432 (or 68909420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44102024320 its reverse (2342020144), we get a palindrome (46444044464).

The spelling of 44102024320 in words is "forty-four billion, one hundred two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 68909413 137818826 275637652 344547065 551275304 689094130 1102550608 1378188260 2205101216 2756376520 4410202432 5512753040 8820404864 11025506080 22051012160 44102024320