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242342133432 = 23371975921721
BaseRepresentation
bin1110000110110010110…
…1110111111010111000
3212011112020110221001120
43201230231313322320
512432304041232212
6303155212545240
723336315101110
oct3415455677270
9764466427046
10242342133432
119385a8a8803
123ab73a82220
1319b116a94b9
14ba2d768040
1564858a188c
hex386cb77eb8

242342133432 has 64 divisors (see below), whose sum is σ = 728848531200. Its totient is φ = 65596366080.

The previous prime is 242342133359. The next prime is 242342133443. The reversal of 242342133432 is 234331243242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242342133393 and 242342133402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37957669 + ... + 37964052.

It is an arithmetic number, because the mean of its divisors is an integer number (11388258300).

Almost surely, 2242342133432 is an apocalyptic number.

It is an amenable number.

242342133432 is an abundant number, since it is smaller than the sum of its proper divisors (486506397768).

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

242342133432 is a wasteful number, since it uses less digits than its factorization.

242342133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75921756 (or 75921752 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 242342133432 its reverse (234331243242), we get a palindrome (476673376674).

The spelling of 242342133432 in words is "two hundred forty-two billion, three hundred forty-two million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 75921721 151843442 227765163 303686884 455530326 531452047 607373768 911060652 1062904094 1442512699 1594356141 1822121304 2125808188 2885025398 3188712282 4251616376 4327538097 5770050796 6377424564 8655076194 10097588893 11540101592 12754849128 17310152388 20195177786 30292766679 34620304776 40390355572 60585533358 80780711144 121171066716 242342133432