Search a number
-
+
232300313214040 = 23512745728408113
BaseRepresentation
bin110100110100011010100001…
…101001100111110001011000
31010110111200201020110121122201
4310310122201221213301120
5220422002020140322130
62142021142440055544
766634100213511061
oct6464324151476130
91113450636417581
10232300313214040
1168022011830865
1222079434a645b4
139c80a96937636
144151576415568
151bcc9e6c73bca
hexd346a1a67c58

232300313214040 has 32 divisors (see below), whose sum is σ = 526791261473280. Its totient is φ = 92188470753792.

The previous prime is 232300313214031. The next prime is 232300313214091. The reversal of 232300313214040 is 40412313003232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22864198977 + ... + 22864209136.

It is an arithmetic number, because the mean of its divisors is an integer number (16462226921040).

Almost surely, 2232300313214040 is an apocalyptic number.

232300313214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232300313214040 is an abundant number, since it is smaller than the sum of its proper divisors (294490948259240).

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

232300313214040 is a wasteful number, since it uses less digits than its factorization.

232300313214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45728408251 (or 45728408247 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 232300313214040 its reverse (40412313003232), we get a palindrome (272712626217272).

The spelling of 232300313214040 in words is "two hundred thirty-two trillion, three hundred billion, three hundred thirteen million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 45728408113 91456816226 182913632452 228642040565 365827264904 457284081130 914568162260 1829136324520 5807507830351 11615015660702 23230031321404 29037539151755 46460062642808 58075078303510 116150156607020 232300313214040