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242140421112 = 233436710134673
BaseRepresentation
bin1110000110000010110…
…0011001101111111000
3212011000011220212202220
43201200230121233320
512431400421433422
6303123205324040
723331315422412
oct3414054315770
9764004825686
10242140421112
1193766a56307
123ab18406620
1319aab9729b5
14ba10a5b9b2
156472d09e5c
hex3860b19bf8

242140421112 has 128 divisors (see below), whose sum is σ = 634917000960. Its totient is φ = 76888627200.

The previous prime is 242140421063. The next prime is 242140421191. The reversal of 242140421112 is 211124041242.

It is a happy number.

242140421112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6966208 + ... + 7000880.

It is an arithmetic number, because the mean of its divisors is an integer number (4960289070).

Almost surely, 2242140421112 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 242140421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317458500480).

242140421112 is an abundant number, since it is smaller than the sum of its proper divisors (392776579848).

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

242140421112 is a wasteful number, since it uses less digits than its factorization.

242140421112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34893 (or 34889 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 242140421112 its reverse (211124041242), we get a palindrome (453264462354).

The spelling of 242140421112 in words is "two hundred forty-two billion, one hundred forty million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 67 86 101 129 134 172 201 202 258 268 303 344 402 404 516 536 606 804 808 1032 1212 1608 2424 2881 4343 5762 6767 8643 8686 11524 13029 13534 17286 17372 20301 23048 26058 27068 34572 34673 34744 40602 52116 54136 69144 69346 81204 104019 104232 138692 162408 208038 277384 290981 416076 581962 832152 872943 1163924 1490939 1745886 2323091 2327848 2981878 3491772 3501973 4472817 4646182 5963756 6969273 6983544 7003946 8945634 9292364 10505919 11927512 13938546 14007892 17891268 18584728 21011838 27877092 28015784 35782536 42023676 55754184 84047352 99892913 150584839 199785826 234632191 299678739 301169678 399571652 451754517 469264382 599357478 602339356 703896573 799143304 903509034 938528764 1198714956 1204678712 1407793146 1807018068 1877057528 2397429912 2815586292 3614036136 5631172584 10089184213 20178368426 30267552639 40356736852 60535105278 80713473704 121070210556 242140421112