Search a number
-
+
242342142012 = 2232311279169783
BaseRepresentation
bin1110000110110010110…
…1111010000000111100
3212011112020111100211100
43201230231322000330
512432304042021022
6303155213053100
723336315135115
oct3415455720074
9764466440740
10242342142012
119385a9041a3
123ab73a87190
1319b116b0389
14ba2d76b20c
1564858a41ac
hex386cb7a03c

242342142012 has 72 divisors (see below), whose sum is σ = 632846090240. Its totient is φ = 78113302560.

The previous prime is 242342141999. The next prime is 242342142013. The reversal of 242342142012 is 210241243242.

It is a happy number.

242342142012 is a `hidden beast` number, since 2 + 4 + 234 + 2 + 1 + 420 + 1 + 2 = 666.

242342142012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242342142013) 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 23 ways as a sum of consecutive naturals, for example, 1342473 + ... + 1512255.

Almost surely, 2242342142012 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 242342142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316423045120).

242342142012 is an abundant number, since it is smaller than the sum of its proper divisors (390503948228).

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

242342142012 is a wasteful number, since it uses less digits than its factorization.

242342142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171103 (or 171098 counting only the distinct ones).

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

Adding to 242342142012 its reverse (210241243242), we get a palindrome (452583385254).

The spelling of 242342142012 in words is "two hundred forty-two billion, three hundred forty-two million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1279 2558 3837 5116 7674 11511 15348 23022 39649 46044 79298 118947 158596 169783 237894 339566 356841 475788 509349 679132 713682 1018698 1427364 1528047 2037396 3056094 5263273 6112188 10526546 15789819 21053092 31579638 47369457 63159276 94738914 189477828 217152457 434304914 651457371 868609828 1302914742 1954372113 2605829484 3908744226 6731726167 7817488452 13463452334 20195178501 26926904668 40390357002 60585535503 80780714004 121171071006 242342142012