Search a number
-
+
42304240324 = 22671071499901
BaseRepresentation
bin100111011001100001…
…110111101011000100
311001012020220001222201
4213121201313223010
51143114341142244
631233450404244
73025224052423
oct473141675304
9131166801881
1042304240324
1116a39705995
128247730684
133cb2580788
1420946212ba
151178e44ad4
hex9d9877ac4

42304240324 has 48 divisors (see below), whose sum is σ = 76356302400. Its totient is φ = 20501078400.

The previous prime is 42304240309. The next prime is 42304240421.

It is a happy number.

42304240324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42304240292 and 42304240301.

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 15 ways as a sum of consecutive naturals, for example, 4267774 + ... + 4277674.

It is an arithmetic number, because the mean of its divisors is an integer number (1590756300).

Almost surely, 242304240324 is an apocalyptic number.

It is an amenable number.

42304240324 is a deficient number, since it is larger than the sum of its proper divisors (34052062076).

42304240324 is a wasteful number, since it uses less digits than its factorization.

42304240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 42304240324 in words is "forty-two billion, three hundred four million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 67 107 134 149 214 268 298 428 596 7169 9901 9983 14338 15943 19802 19966 28676 31886 39604 39932 63772 663367 1059407 1068181 1326734 1475249 2118814 2136362 2653468 2950498 4237628 4272724 5900996 70980269 98841683 141960538 157851643 197683366 283921076 315703286 395366732 631406572 10576060081 21152120162 42304240324