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42333143112 = 233213272916573
BaseRepresentation
bin100111011011010000…
…001000000001001000
311001021021021111011100
4213123100020001020
51143144241034422
631240402101400
73026024531211
oct473320100110
9131237244140
1042333143112
1116a53a56a97
12825534a860
133cb8560210
1420983c6408
15117b7537ac
hex9db408048

42333143112 has 96 divisors (see below), whose sum is σ = 123524364600. Its totient is φ = 13020023808.

The previous prime is 42333143089. The next prime is 42333143129. The reversal of 42333143112 is 21134133324.

It is a happy number.

42333143112 is a `hidden beast` number, since 4 + 2 + 33 + 314 + 311 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40693379076 + 1639764036 = 201726^2 + 40494^2 .

It is a super-3 number, since 3×423331431123 (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2546058 + ... + 2562630.

Almost surely, 242333143112 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 42333143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61762182300).

42333143112 is an abundant number, since it is smaller than the sum of its proper divisors (81191221488).

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

42333143112 is a wasteful number, since it uses less digits than its factorization.

42333143112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19327 (or 19320 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42333143112 its reverse (21134133324), we get a palindrome (63467276436).

The spelling of 42333143112 in words is "forty-two billion, three hundred thirty-three million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2729 5458 8187 10916 16374 16573 21832 24561 32748 33146 35477 49122 49719 65496 66292 70954 98244 99438 106431 132584 141908 149157 196488 198876 212862 215449 283816 298314 319293 397752 425724 430898 596628 638586 646347 851448 861796 1193256 1277172 1292694 1723592 1939041 2554344 2585388 3878082 5170776 7756164 15512328 45227717 90455434 135683151 180910868 271366302 361821736 407049453 542732604 587960321 814098906 1085465208 1175920642 1628197812 1763880963 2351841284 3256395624 3527761926 4703682568 5291642889 7055523852 10583285778 14111047704 21166571556 42333143112