Search a number
-
+
321145351340 = 225111785867741
BaseRepresentation
bin1001010110001011100…
…00010010110010101100
31010200221011122011122212
410223011300102302230
520230201202220330
6403310535225552
732126165306102
oct4530560226254
91120834564585
10321145351340
111142191a6780
12522a6b182b8
132438c8a5718
14117875adc72
158548c6d295
hex4ac5c12cac

321145351340 has 48 divisors (see below), whose sum is σ = 778992155424. Its totient is φ = 109910707200.

The previous prime is 321145351259. The next prime is 321145351369. The reversal of 321145351340 is 43153541123.

It is a super-3 number, since 3×3211453513403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321145351297 and 321145351306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42930131 + ... + 42937610.

It is an arithmetic number, because the mean of its divisors is an integer number (16229003238).

Almost surely, 2321145351340 is an apocalyptic number.

It is an amenable number.

321145351340 is an abundant number, since it is smaller than the sum of its proper divisors (457846804084).

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

321145351340 is a wasteful number, since it uses less digits than its factorization.

321145351340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85867778 (or 85867776 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 321145351340 its reverse (43153541123), we get a palindrome (364298892463).

The spelling of 321145351340 in words is "three hundred twenty-one billion, one hundred forty-five million, three hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 85867741 171735482 343470964 429338705 858677410 944545151 1459751597 1717354820 1889090302 2919503194 3778180604 4722725755 5839006388 7298757985 9445451510 14597515970 16057267567 18890903020 29195031940 32114535134 64229070268 80286337835 160572675670 321145351340