Search a number
-
+
321430324213440 = 263351316717136151
BaseRepresentation
bin100100100010101101101010…
…0010010110111011011000000
31120011002102211221202112121000
41021011123110102313123000
5314112303300444312230
63055343015154132000
7124463401035645411
oct11105332422673300
91504072757675530
10321430324213440
1193465920390172
1230073425281000
1310a479988b2780
14595344c7c1808
152726218b71b60
hex12456d44b76c0

321430324213440 has 448 divisors, whose sum is σ = 1228472915281920. Its totient is φ = 78647525683200.

The previous prime is 321430324213429. The next prime is 321430324213441. The reversal of 321430324213440 is 44312423034123.

321430324213440 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 303 + 2 + 4 + 2 + 1 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321430324213395 and 321430324213404.

It is not an unprimeable number, because it can be changed into a prime (321430324213441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10189365 + ... + 27325515.

It is an arithmetic number, because the mean of its divisors is an integer number (2742127043040).

Almost surely, 2321430324213440 is an apocalyptic number.

321430324213440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321430324213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614236457640960).

321430324213440 is an abundant number, since it is smaller than the sum of its proper divisors (907042591068480).

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

321430324213440 is a wasteful number, since it uses less digits than its factorization.

321430324213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17136357 (or 17136341 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 321430324213440 its reverse (44312423034123), we get a palindrome (365742747247563).

The spelling of 321430324213440 in words is "three hundred twenty-one trillion, four hundred thirty billion, three hundred twenty-four million, two hundred thirteen thousand, four hundred forty".