Search a number
-
+
321214424320340 = 22589180457541753
BaseRepresentation
bin100100100001001001000111…
…1101010001000100101010100
31120010022210120112000121010222
41021002102033222020211110
5314100234120111222330
63055055511442133512
7124441655610100055
oct11102221752104524
91503283515017128
10321214424320340
11933922aa538a51
1230039610951298
1310a3050c48a735
145946c0ab8a72c
1527207ce8cd0e5
hex124248fa88954

321214424320340 has 24 divisors (see below), whose sum is σ = 682129507830120. Its totient is φ = 127042109393408.

The previous prime is 321214424320337. The next prime is 321214424320351. The reversal of 321214424320340 is 43023424412123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4716732614416 + 316497691705924 = 2171804^2 + 17790382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321214424320340.

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 7 ways as a sum of consecutive naturals, for example, 90228769097 + ... + 90228772656.

It is an arithmetic number, because the mean of its divisors is an integer number (28422062826255).

Almost surely, 2321214424320340 is an apocalyptic number.

It is an amenable number.

321214424320340 is an abundant number, since it is smaller than the sum of its proper divisors (360915083509780).

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

321214424320340 is a wasteful number, since it uses less digits than its factorization.

321214424320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180457541851 (or 180457541849 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 321214424320340 its reverse (43023424412123), we get a palindrome (364237848732463).

The spelling of 321214424320340 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twenty-four million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 180457541753 360915083506 721830167012 902287708765 1804575417530 3609150835060 16060721216017 32121442432034 64242884864068 80303606080085 160607212160170 321214424320340