Search a number
-
+
322144113322032 = 24312835230970923
BaseRepresentation
bin100100100111111010000010…
…1011100001110100000110000
31120020121200021010220020021120
41021033310011130032200300
5314211002121002301112
63101050543532022240
7124566100303161621
oct11117640534164060
91506550233806246
10322144113322032
1193710607766181
123016982b901980
1310a9a0a0a5ca61
145979c03183a48
152739a935a0e8c
hex124fd0570e830

322144113322032 has 40 divisors (see below), whose sum is σ = 832854266635584. Its totient is φ = 107297675552064.

The previous prime is 322144113322027. The next prime is 322144113322063. The reversal of 322144113322032 is 230223311441223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 322144113321984 and 322144113322002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615423878 + ... + 2615547045.

Almost surely, 2322144113322032 is an apocalyptic number.

It is an amenable number.

322144113322032 is an abundant number, since it is smaller than the sum of its proper divisors (510710153313552).

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

322144113322032 is a wasteful number, since it uses less digits than its factorization.

322144113322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230972217 (or 5230972211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 322144113322032 its reverse (230223311441223), we get a palindrome (552367424763255).

The spelling of 322144113322032 in words is "three hundred twenty-two trillion, one hundred forty-four billion, one hundred thirteen million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1283 2566 3849 5132 7698 10264 15396 20528 30792 61584 5230970923 10461941846 15692912769 20923883692 31385825538 41847767384 62771651076 83695534768 125543302152 251086604304 6711335694209 13422671388418 20134007082627 26845342776836 40268014165254 53690685553672 80536028330508 107381371107344 161072056661016 322144113322032