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42421241412 = 223211229335813
BaseRepresentation
bin100111100000100000…
…001100011001000100
311001111102001100022100
4213200200030121010
51143334314211122
631253230232100
73031144413444
oct474040143104
9131442040270
1042421241412
1116a99759600
12827a955630
1340008976a4
1420a5d9a124
151184356aac
hex9e080c644

42421241412 has 108 divisors (see below), whose sum is σ = 121930705260. Its totient is φ = 12411611520.

The previous prime is 42421241353. The next prime is 42421241417. The reversal of 42421241412 is 21414212424.

42421241412 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 1 + 241 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15543606276 + 26877635136 = 124674^2 + 163944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42421241417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41583 + ... + 294230.

Almost surely, 242421241412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421241412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60965352630).

42421241412 is an abundant number, since it is smaller than the sum of its proper divisors (79509463848).

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

42421241412 is a wasteful number, since it uses less digits than its factorization.

42421241412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335874 (or 335858 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 42421241412 its reverse (21414212424), we get a palindrome (63835453836).

The spelling of 42421241412 in words is "forty-two billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 638 726 957 1044 1089 1276 1452 1914 2178 2871 3509 3828 4356 5742 7018 10527 11484 14036 21054 31581 42108 63162 126324 335813 671626 1007439 1343252 2014878 3022317 3693943 4029756 6044634 7387886 9738577 11081829 12089268 14775772 19477154 22163658 29215731 33245487 38954308 40633373 44327316 58431462 66490974 81266746 87647193 107124347 116862924 121900119 132981948 162533492 175294386 214248694 243800238 321373041 350588772 365700357 428497388 487600476 642746082 731400714 964119123 1178367817 1285492164 1462801428 1928238246 2356735634 3535103451 3856476492 4713471268 7070206902 10605310353 14140413804 21210620706 42421241412