Search a number
-
+
324244225201400 = 235273895471088447
BaseRepresentation
bin100100110111001011111110…
…1110111010001010011111000
31120112001110000112220111010122
41021232113331313101103320
5314444404133122421100
63105335423554032412
7125203605111465260
oct11156277567212370
91515043015814118
10324244225201400
1194350227107749
1230448852b78708
1310bc013a04646a
145a0d70b8987a0
15277450a517985
hex126e5fddd14f8

324244225201400 has 192 divisors, whose sum is σ = 865357956403200. Its totient is φ = 110680851939840.

The previous prime is 324244225201397. The next prime is 324244225201439. The reversal of 324244225201400 is 4102522442423.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297351977 + ... + 298440423.

It is an arithmetic number, because the mean of its divisors is an integer number (4507072689600).

Almost surely, 2324244225201400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324244225201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432678978201600).

324244225201400 is an abundant number, since it is smaller than the sum of its proper divisors (541113731201800).

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

324244225201400 is a wasteful number, since it uses less digits than its factorization.

324244225201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089406 (or 1089397 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 324244225201400 its reverse (4102522442423), we get a palindrome (328346747643823).

The spelling of 324244225201400 in words is "three hundred twenty-four trillion, two hundred forty-four billion, two hundred twenty-five million, two hundred one thousand, four hundred".