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324440013040 = 2451113195328163
BaseRepresentation
bin1001011100010100010…
…00011011100011110000
31011000102210010022212021
410232022020123203300
520303423120404130
6405013511241224
732303632415563
oct4561210334360
91130383108767
10324440013040
11115659a24890
1252a66379214
1324796338ca0
14119bad9a4da
15868d11937a
hex4b8a21b8f0

324440013040 has 320 divisors, whose sum is σ = 950474165760. Its totient is φ = 101220986880.

The previous prime is 324440013013. The next prime is 324440013043. The reversal of 324440013040 is 40310044423.

It is a super-2 number, since 2×3244400130402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 324440012996 and 324440013014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324440013043) by changing a digit.

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, 11505999 + ... + 11534161.

It is an arithmetic number, because the mean of its divisors is an integer number (2970231768).

Almost surely, 2324440013040 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 324440013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475237082880).

324440013040 is an abundant number, since it is smaller than the sum of its proper divisors (626034152720).

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

324440013040 is a wasteful number, since it uses less digits than its factorization.

324440013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28272 (or 28266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 324440013040 its reverse (40310044423), we get a palindrome (364750057463).

The spelling of 324440013040 in words is "three hundred twenty-four billion, four hundred forty million, thirteen thousand, forty".