Search a number
-
+
505154200234242 = 231373175350608631
BaseRepresentation
bin111001011011011110110000…
…0101010010110100100000010
32110020121021021202122021220110
41302312331200222112210002
51012202421300224443432
64550212345204252150
7211255120666166136
oct16266754052264402
92406537252567813
10505154200234242
11136a59769764649
12487a63276a1056
13188b3ab52658c0
148ca584534b3c6
153d60347827dcc
hex1cb6f60a96902

505154200234242 has 64 divisors (see below), whose sum is σ = 1103558063844096. Its totient is φ = 153215400545280.

The previous prime is 505154200234231. The next prime is 505154200234247. The reversal of 505154200234242 is 242432002451505.

It is a super-3 number, since 3×5051542002342423 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 505154200234242.

It is not an unprimeable number, because it can be changed into a prime (505154200234247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15322734 + ... + 35285897.

It is an arithmetic number, because the mean of its divisors is an integer number (17243094747564).

Almost surely, 2505154200234242 is an apocalyptic number.

505154200234242 is an abundant number, since it is smaller than the sum of its proper divisors (598403863609854).

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

505154200234242 is a wasteful number, since it uses less digits than its factorization.

505154200234242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50610475.

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 505154200234242 its reverse (242432002451505), we get a palindrome (747586202685747).

The spelling of 505154200234242 in words is "five hundred five trillion, one hundred fifty-four billion, two hundred million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1753 1898 2847 3506 5259 5694 10518 22789 45578 68367 127969 136734 255938 383907 767814 1663597 3327194 4990791 9981582 50608631 101217262 151825893 303651786 657912203 1315824406 1973736609 3694430063 3947473218 7388860126 11083290189 22166580378 48027590819 88716930143 96055181638 144082772457 177433860286 266150790429 288165544914 532301580858 1153320091859 2306640183718 3459960275577 6476335900439 6919920551154 12952671800878 19429007701317 38858015402634 84192366705707 168384733411414 252577100117121 505154200234242