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505412434423340 = 225238243133291603
BaseRepresentation
bin111001011101010111000000…
…0100111100110111000101100
32110021111221211112211021222022
41302322232000213212320230
51012221134131203021330
64550531133403205312
7211312562165450123
oct16272560047467054
92407457745737868
10505412434423340
1113704923417aa54
1248828395816838
131890225a232822
148cb4141588aba
153d66e0d49bae5
hex1cbab809e6e2c

505412434423340 has 48 divisors (see below), whose sum is σ = 1107646831243008. Its totient is φ = 193351731528384.

The previous prime is 505412434423333. The next prime is 505412434423349. The reversal of 505412434423340 is 43324434214505.

It is a junction number, because it is equal to n+sod(n) for n = 505412434423291 and 505412434423300.

It is not an unprimeable number, because it can be changed into a prime (505412434423349) 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, 62854022 + ... + 70437581.

It is an arithmetic number, because the mean of its divisors is an integer number (23075975650896).

Almost surely, 2505412434423340 is an apocalyptic number.

It is an amenable number.

505412434423340 is an abundant number, since it is smaller than the sum of its proper divisors (602234396819668).

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

505412434423340 is a wasteful number, since it uses less digits than its factorization.

505412434423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133299878 (or 133299876 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 44.

Adding to 505412434423340 its reverse (43324434214505), we get a palindrome (548736868637845).

The spelling of 505412434423340 in words is "five hundred five trillion, four hundred twelve billion, four hundred thirty-four million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 8243 16486 32972 41215 82430 164860 189589 379178 758356 947945 1895890 3791780 133291603 266583206 533166412 666458015 1332916030 2665832060 3065706869 6131413738 12262827476 15328534345 30657068690 61314137380 1098722683529 2197445367058 4394890734116 5493613417645 10987226835290 21974453670580 25270621721167 50541243442334 101082486884668 126353108605835 252706217211670 505412434423340