Search a number
-
+
42134233032 = 23321734423393
BaseRepresentation
bin100111001111011001…
…010101111111001000
311000202101222210211100
4213033121111333020
51142242330424112
631204534501400
73021061033353
oct471731257710
9130671883740
1042134233032
11169617489a1
1281ba804860
133c86298048
142079c0929a
1511690622dc
hex9cf655fc8

42134233032 has 48 divisors (see below), whose sum is σ = 120826112940. Its totient is φ = 13218582528.

The previous prime is 42134233007. The next prime is 42134233087. The reversal of 42134233032 is 23033243124.

42134233032 is a `hidden beast` number, since 421 + 3 + 4 + 233 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41398413156 + 735819876 = 203466^2 + 27126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42134232987 and 42134233005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17210473 + ... + 17212920.

Almost surely, 242134233032 is an apocalyptic number.

It is an amenable number.

42134233032 is an abundant number, since it is smaller than the sum of its proper divisors (78691879908).

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

42134233032 is a wasteful number, since it uses less digits than its factorization.

42134233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34423422 (or 34423415 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42134233032 its reverse (23033243124), we get a palindrome (65167476156).

The spelling of 42134233032 in words is "forty-two billion, one hundred thirty-four million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 34423393 68846786 103270179 137693572 206540358 275387144 309810537 413080716 585197681 619621074 826161432 1170395362 1239242148 1755593043 2340790724 2478484296 3511186086 4681581448 5266779129 7022372172 10533558258 14044744344 21067116516 42134233032