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42243124032 = 263273338757
BaseRepresentation
bin100111010101111000…
…101110101101000000
311001000222220001012100
4213111320232231000
51143003214432112
631223424430400
73023552426004
oct472570565500
9131028801170
1042243124032
1116a0816235a
12822b178400
133ca2a026a5
14208a472704
1511738c12dc
hex9d5e2eb40

42243124032 has 42 divisors (see below), whose sum is σ = 121082289458. Its totient is φ = 14081041152.

The previous prime is 42243123973. The next prime is 42243124039. The reversal of 42243124032 is 23042134224.

42243124032 is a `hidden beast` number, since 4 + 2 + 243 + 12 + 403 + 2 = 666.

42243124032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39432427776 + 2810696256 = 198576^2 + 53016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42243123987 and 42243124005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243124039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36668803 + ... + 36669954.

Almost surely, 242243124032 is an apocalyptic number.

It is an amenable number.

42243124032 is an abundant number, since it is smaller than the sum of its proper divisors (78839165426).

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

42243124032 is a wasteful number, since it uses less digits than its factorization.

42243124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73338775 (or 73338762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42243124032 its reverse (23042134224), we get a palindrome (65285258256).

The spelling of 42243124032 in words is "forty-two billion, two hundred forty-three million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73338757 146677514 220016271 293355028 440032542 586710056 660048813 880065084 1173420112 1320097626 1760130168 2346840224 2640195252 3520260336 4693680448 5280390504 7040520672 10560781008 14081041344 21121562016 42243124032