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42042112423540 = 22522392963316861
BaseRepresentation
bin10011000111100101100010…
…01011010011011001110100
312111212012001002201122002221
421203302301023103121310
521002304221240023130
6225225514012412124
711566304511201565
oct1143626113233164
9174765032648087
1042042112423540
1112439a61477a79
124870062477044
131a5c72872bc38
14a54bc5cd816c
154cd929d9e87a
hex263cb12d3674

42042112423540 has 48 divisors (see below), whose sum is σ = 88357957309440. Its totient is φ = 16803607985280.

The previous prime is 42042112423537. The next prime is 42042112423613. The reversal of 42042112423540 is 4532421124024.

42042112423540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×420421124235403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42042112423496 and 42042112423505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 132524710 + ... + 132841570.

It is an arithmetic number, because the mean of its divisors is an integer number (1840790777280).

Almost surely, 242042112423540 is an apocalyptic number.

It is an amenable number.

42042112423540 is an abundant number, since it is smaller than the sum of its proper divisors (46315844885900).

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

42042112423540 is a wasteful number, since it uses less digits than its factorization.

42042112423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322072 (or 322070 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 42042112423540 its reverse (4532421124024), we get a palindrome (46574533547564).

The spelling of 42042112423540 in words is "forty-two trillion, forty-two billion, one hundred twelve million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2239 2963 4478 5926 8956 11195 11852 14815 22390 29630 44780 59260 316861 633722 1267444 1584305 3168610 6337220 6634157 13268314 26536628 33170785 66341570 132683140 709451779 938859143 1418903558 1877718286 2837807116 3547258895 3755436572 4694295715 7094517790 9388591430 14189035580 18777182860 2102105621177 4204211242354 8408422484708 10510528105885 21021056211770 42042112423540