Search a number
-
+
323331313140 = 2233511232366647
BaseRepresentation
bin1001011010010000000…
…11000100110111110100
31010220120111220112112000
410231020003010313310
520244140304010030
6404311504055300
732234310546423
oct4551003046764
91126514815460
10323331313140
11115140108180
12527b7004530
132464a730444
1411913a352ba
158625b15860
hex4b480c4df4

323331313140 has 192 divisors, whose sum is σ = 1145078968320. Its totient is φ = 74975345280.

The previous prime is 323331313103. The next prime is 323331313159. The reversal of 323331313140 is 41313133323.

323331313140 is a `hidden beast` number, since 3 + 2 + 3 + 331 + 313 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1046704 + ... + 1319943.

It is an arithmetic number, because the mean of its divisors is an integer number (5963952960).

Almost surely, 2323331313140 is an apocalyptic number.

323331313140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323331313140 is an abundant number, since it is smaller than the sum of its proper divisors (821747655180).

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

323331313140 is a wasteful number, since it uses less digits than its factorization.

323331313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366699 (or 2366691 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323331313140 its reverse (41313133323), we get a palindrome (364644446463).

The spelling of 323331313140 in words is "three hundred twenty-three billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred forty".