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42322144212 = 22321032110813
BaseRepresentation
bin100111011010100110…
…001010101111010100
311001020111120200111200
4213122212022233110
51143133432103322
631235330232500
73025532201355
oct473246125724
9131214520450
1042322144212
1116a48824397
128251725730
133cb61abaaa
142096b61d2c
15117a7ce8ac
hex9da98abd4

42322144212 has 54 divisors (see below), whose sum is σ = 108030684762. Its totient is φ = 13970290464.

The previous prime is 42322144211. The next prime is 42322144243. The reversal of 42322144212 is 21244122324.

It is a happy number.

42322144212 is a `hidden beast` number, since 4 + 23 + 2 + 214 + 421 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32787793476 + 9534350736 = 181074^2 + 97644^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322144211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 326518 + ... + 437330.

Almost surely, 242322144212 is an apocalyptic number.

It is an amenable number.

42322144212 is an abundant number, since it is smaller than the sum of its proper divisors (65708540550).

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

42322144212 is a wasteful number, since it uses less digits than its factorization.

42322144212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111029 (or 110921 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 42322144212 its reverse (21244122324), we get a palindrome (63566266536).

The spelling of 42322144212 in words is "forty-two billion, three hundred twenty-two million, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 10609 21218 31827 42436 63654 95481 110813 127308 190962 221626 332439 381924 443252 664878 997317 1329756 1994634 3989268 11413739 22827478 34241217 45654956 68482434 102723651 136964868 205447302 410894604 1175615117 2351230234 3526845351 4702460468 7053690702 10580536053 14107381404 21161072106 42322144212