Search a number
-
+
314006585364 = 22334170913863
BaseRepresentation
bin1001001000111000100…
…00000100000000010100
31010000111122210021202000
410210130100010000110
520121041141212424
6400130322515300
731454242636233
oct4443420040024
91100448707660
10314006585364
1111119559318a
1250a34205b30
13237c2905044
14112ab450b1a
15827c1933c9
hex491c404014

314006585364 has 48 divisors (see below), whose sum is σ = 833947040640. Its totient is φ = 102115961280.

The previous prime is 314006585363. The next prime is 314006585369. The reversal of 314006585364 is 463585600413.

314006585364 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 6 + 585 + 3 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314006585363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35452504 + ... + 35461359.

It is an arithmetic number, because the mean of its divisors is an integer number (17373896680).

Almost surely, 2314006585364 is an apocalyptic number.

It is an amenable number.

314006585364 is an abundant number, since it is smaller than the sum of its proper divisors (519940455276).

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

314006585364 is a wasteful number, since it uses less digits than its factorization.

314006585364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70913917 (or 70913909 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 314006585364 in words is "three hundred fourteen billion, six million, five hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 70913863 141827726 212741589 283655452 425483178 638224767 850966356 1276449534 1914674301 2552899068 2907468383 3829348602 5814936766 7658697204 8722405149 11629873532 17444810298 26167215447 34889620596 52334430894 78501646341 104668861788 157003292682 314006585364