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324913680144 = 2432475012
BaseRepresentation
bin1001011101001100101…
…11010100111100010000
31011001122210102002222100
410232212113110330100
520310410400231034
6405132511440400
732321443466334
oct4564627247420
91131583362870
10324913680144
111158823359a9
1252b78b26100
1324840501291
1411a23c597c4
1586b99d0099
hex4ba65d4f10

324913680144 has 45 divisors (see below), whose sum is σ = 909326178709. Its totient is φ = 108302280000.

The previous prime is 324913680121. The next prime is 324913680151. The reversal of 324913680144 is 441086319423.

The square root of 324913680144 is 570012.

It is a perfect power (a square), and thus also a powerful number.

324913680144 is a `hidden beast` number, since 3 + 249 + 1 + 368 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192359433744 + 132554246400 = 438588^2 + 364080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 324913680144.

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 8 ways as a sum of consecutive naturals, for example, 6816394 + ... + 6863894.

Almost surely, 2324913680144 is an apocalyptic number.

324913680144 is the 570012-nd square number.

It is an amenable number.

324913680144 is an abundant number, since it is smaller than the sum of its proper divisors (584412498565).

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

324913680144 is an frugal number, since it uses more digits than its factorization.

324913680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95016 (or 47506 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 324913680144 its reverse (441086319423), we get a palindrome (765999999567).

The spelling of 324913680144 in words is "three hundred twenty-four billion, nine hundred thirteen million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 47501 95002 142503 190004 285006 380008 427509 570012 760016 855018 1140024 1710036 2280048 3420072 6840144 2256345001 4512690002 6769035003 9025380004 13538070006 18050760008 20307105009 27076140012 36101520016 40614210018 54152280024 81228420036 108304560048 162456840072 324913680144