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10442022301242 = 23271941106384073
BaseRepresentation
bin1001011111110011100100…
…0001111010111000111010
31100222020200111011201002200
42113330321001322320322
52332040230202114432
634112555425011030
72125261022043150
oct227747101727072
940866614151080
1010442022301242
1133664894032a4
121207898183a76
135a98a880116c
1428157a2c13d0
1513194ab3da7c
hex97f3907ae3a

10442022301242 has 96 divisors (see below), whose sum is σ = 27881138113920. Its totient is φ = 2757475146240.

The previous prime is 10442022301219. The next prime is 10442022301247. The reversal of 10442022301242 is 24210322024401.

It is a happy number.

10442022301242 is a `hidden beast` number, since 1 + 0 + 4 + 420 + 2 + 230 + 1 + 2 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10442022301247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53093883 + ... + 53290190.

It is an arithmetic number, because the mean of its divisors is an integer number (290428522020).

Almost surely, 210442022301242 is an apocalyptic number.

10442022301242 is an abundant number, since it is smaller than the sum of its proper divisors (17439115812678).

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

10442022301242 is a wasteful number, since it uses less digits than its factorization.

10442022301242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106384148 (or 106384145 counting only the distinct ones).

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

Adding to 10442022301242 its reverse (24210322024401), we get a palindrome (34652344325643).

The spelling of 10442022301242 in words is "ten trillion, four hundred forty-two billion, twenty-two million, three hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 41 42 57 63 82 114 123 126 133 171 246 266 287 342 369 399 574 738 779 798 861 1197 1558 1722 2337 2394 2583 4674 5166 5453 7011 10906 14022 16359 32718 49077 98154 106384073 212768146 319152219 638304438 744688511 957456657 1489377022 1914913314 2021297387 2234065533 4042594774 4361746993 4468131066 6063892161 6702196599 8723493986 12127784322 13085240979 13404393198 14149081709 18191676483 26170481958 28298163418 30532228951 36383352966 39255722937 42447245127 61064457902 78511445874 82873192867 84894490254 91596686853 127341735381 165746385734 183193373706 248619578601 254683470762 274790060559 497239157202 549580121118 580112350069 745858735803 1160224700138 1491717471606 1740337050207 3480674100414 5221011150621 10442022301242