Search a number
-
+
322034020254040 = 23523350036978537
BaseRepresentation
bin100100100111000110110001…
…1011000100000000101011000
31120020020011002120100220121211
41021032031203120200011120
5314202201133141112130
63100524215255312504
7124555122141430123
oct11116154330400530
91506204076326554
10322034020254040
1193678952029776
123015042597b734
1310a8c8a71a8643
14597475b8953ba
152736c9d222a2a
hex124e363620158

322034020254040 has 32 divisors (see below), whose sum is σ = 756079873642080. Its totient is φ = 123213016444672.

The previous prime is 322034020254029. The next prime is 322034020254071. The reversal of 322034020254040 is 40452020430223.

It is a super-2 number, since 2×3220340202540402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322034020253993 and 322034020254011.

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, 175018488349 + ... + 175018490188.

It is an arithmetic number, because the mean of its divisors is an integer number (23627496051315).

Almost surely, 2322034020254040 is an apocalyptic number.

It is an amenable number.

322034020254040 is an abundant number, since it is smaller than the sum of its proper divisors (434045853388040).

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

322034020254040 is a wasteful number, since it uses less digits than its factorization.

322034020254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350036978571 (or 350036978567 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

Adding to 322034020254040 its reverse (40452020430223), we get a palindrome (362486040684263).

The spelling of 322034020254040 in words is "three hundred twenty-two trillion, thirty-four billion, twenty million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 350036978537 700073957074 1400147914148 1750184892685 2800295828296 3500369785370 7000739570740 8050850506351 14001479141480 16101701012702 32203402025404 40254252531755 64406804050808 80508505063510 161017010127020 322034020254040