Search a number
-
+
4422131531120 = 24555276644139
BaseRepresentation
bin100000001011001101110…
…0101000011110101110000
3120122202021221122100011202
41000112123211003311300
51034423011132443440
613223255453430332
7634326353551352
oct100263345036560
916582257570152
104422131531120
111455462a67956
125b5056a9b3a8
1326100b5bc404
141140649210d2
157a06a814615
hex4059b943d70

4422131531120 has 20 divisors (see below), whose sum is σ = 10281455810040. Its totient is φ = 1768852612416.

The previous prime is 4422131531087. The next prime is 4422131531173. The reversal of 4422131531120 is 211351312244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×44221315311204 (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27638321990 + ... + 27638322149.

It is an arithmetic number, because the mean of its divisors is an integer number (514072790502).

Almost surely, 24422131531120 is an apocalyptic number.

4422131531120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422131531120 is an abundant number, since it is smaller than the sum of its proper divisors (5859324278920).

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

4422131531120 is a wasteful number, since it uses less digits than its factorization.

4422131531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55276644152 (or 55276644146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 4422131531120 its reverse (211351312244), we get a palindrome (4633482843364).

The spelling of 4422131531120 in words is "four trillion, four hundred twenty-two billion, one hundred thirty-one million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 55276644139 110553288278 221106576556 276383220695 442213153112 552766441390 884426306224 1105532882780 2211065765560 4422131531120