Search a number
-
+
320224215235014 = 232139127987296257
BaseRepresentation
bin100100011001111100000001…
…0100110001111100111000110
31112222211010200010221011122100
41020303320002212033213012
5313433023143100010024
63053020550145012530
7124310302400535546
oct11063700246174706
91488733603834570
10320224215235014
11930403662aa182
122bab9721924146
131098b02479393c
145910d12bdb326
152704b779c37c9
hex1233e0298f9c6

320224215235014 has 24 divisors (see below), whose sum is σ = 698810637568680. Its totient is φ = 105973481299968.

The previous prime is 320224215234991. The next prime is 320224215235031. The reversal of 320224215235014 is 410532512422023.

320224215235014 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 242 + 1 + 52 + 350 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320224215235014.

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 11 ways as a sum of consecutive naturals, for example, 63993645627 + ... + 63993650630.

It is an arithmetic number, because the mean of its divisors is an integer number (29117109898695).

Almost surely, 2320224215235014 is an apocalyptic number.

320224215235014 is an abundant number, since it is smaller than the sum of its proper divisors (378586422333666).

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

320224215235014 is a wasteful number, since it uses less digits than its factorization.

320224215235014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127987296404 (or 127987296401 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 320224215235014 its reverse (410532512422023), we get a palindrome (730756727657037).

The spelling of 320224215235014 in words is "three hundred twenty trillion, two hundred twenty-four billion, two hundred fifteen million, two hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 139 278 417 834 1251 2502 127987296257 255974592514 383961888771 767923777542 1151885666313 2303771332626 17790234179723 35580468359446 53370702539169 106741405078338 160112107617507 320224215235014