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42133442232 = 233735118251
BaseRepresentation
bin100111001111010110…
…010100111010111000
311000202100111122001110
4213033112110322320
51142242130122412
631204505520320
73021051231000
oct471726247270
9130670448043
1042133442232
1116961258842
1281ba4a30a0
133c8607c10b
142079a81000
151168e57d3c
hex9cf594eb8

42133442232 has 64 divisors (see below), whose sum is σ = 122838048000. Its totient is φ = 12038124000.

The previous prime is 42133442231. The next prime is 42133442237. The reversal of 42133442232 is 23224433124.

It is a super-3 number, since 3×421334422323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42133442232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133442231) 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, 2550894 + ... + 2567357.

It is an arithmetic number, because the mean of its divisors is an integer number (1919344500).

Almost surely, 242133442232 is an apocalyptic number.

42133442232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42133442232 is an abundant number, since it is smaller than the sum of its proper divisors (80704605768).

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

42133442232 is a wasteful number, since it uses less digits than its factorization.

42133442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118281 (or 5118263 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 42133442232 its reverse (23224433124), we get a palindrome (65357875356).

The spelling of 42133442232 in words is "forty-two billion, one hundred thirty-three million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 5118251 10236502 15354753 20473004 30709506 35827757 40946008 61419012 71655514 107483271 122838024 143311028 214966542 250794299 286622056 429933084 501588598 752382897 859866168 1003177196 1504765794 1755560093 2006354392 3009531588 3511120186 5266680279 6019063176 7022240372 10533360558 14044480744 21066721116 42133442232