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240435534042 = 2321110112022979
BaseRepresentation
bin1101111111101100010…
…0110001100011011010
3211222121100212122101100
43133323010301203122
512414402444042132
6302242103532230
723241134214234
oct3377304614332
9758540778340
10240435534042
1192a71655430
123a72145a076
13198996a4b92
14b8cc463254
1563c32dd37c
hex37fb1318da

240435534042 has 48 divisors (see below), whose sum is σ = 573928973280. Its totient is φ = 72137868000.

The previous prime is 240435534041. The next prime is 240435534061.

240435534042 is a `hidden beast` number, since 2 + 40 + 43 + 5 + 534 + 0 + 42 = 666.

240435534042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240435533988 and 240435534006.

It is not an unprimeable number, because it can be changed into a prime (240435534041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991492 + ... + 6031487.

It is an arithmetic number, because the mean of its divisors is an integer number (11956853610).

Almost surely, 2240435534042 is an apocalyptic number.

240435534042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240435534042 is an abundant number, since it is smaller than the sum of its proper divisors (333493439238).

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

240435534042 is a wasteful number, since it uses less digits than its factorization.

240435534042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023099 (or 12023096 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 240435 and 534042, that added together give a palindrome (774477).

The spelling of 240435534042 in words is "two hundred forty billion, four hundred thirty-five million, five hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 9999 19998 12022979 24045958 36068937 72137874 108206811 132252769 216413622 264505538 396758307 793516614 1190274921 1214320879 2380549842 2428641758 3642962637 7285925274 10928887911 13357529669 21857775822 26715059338 40072589007 80145178014 120217767021 240435534042