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42042033233312 = 257563333370601
BaseRepresentation
bin10011000111100101011000…
…11101001101110110100000
312111212011211120201100112112
421203302230131031312200
521002304041001431222
6225225502103214452
711566302530120360
oct1143625435156640
9174764746640475
1042042033233312
1112439a207aa202
12487003ba47428
131a5c7151c3308
14a54bb95a29a0
154cd922e5abe2
hex263cac74dda0

42042033233312 has 48 divisors (see below), whose sum is σ = 94762593842112. Its totient is φ = 17986010611200.

The previous prime is 42042033233281. The next prime is 42042033233399. The reversal of 42042033233312 is 21333233024024.

It is a happy number.

42042033233312 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-2 number, since 2×420420332333122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 166559189 + ... + 166811412.

It is an arithmetic number, because the mean of its divisors is an integer number (1974220705044).

Almost surely, 242042033233312 is an apocalyptic number.

It is an amenable number.

42042033233312 is an abundant number, since it is smaller than the sum of its proper divisors (52720560608800).

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

42042033233312 is a wasteful number, since it uses less digits than its factorization.

42042033233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333371181 (or 333371173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 42042033233312 its reverse (21333233024024), we get a palindrome (63375266257336).

The spelling of 42042033233312 in words is "forty-two trillion, forty-two billion, thirty-three million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 563 1126 2252 3941 4504 7882 9008 15764 18016 31528 63056 126112 333370601 666741202 1333482404 2333594207 2666964808 4667188414 5333929616 9334376828 10667859232 18668753656 37337507312 74675014624 187687648363 375375296726 750750593452 1313813538541 1501501186904 2627627077082 3003002373808 5255254154164 6006004747616 10510508308328 21021016616656 42042033233312