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42330120224 = 2571797114599
BaseRepresentation
bin100111011011000100…
…100110000000100000
311001021001120220112112
4213123010212000200
51143143002321344
631240213214452
73025660041140
oct473304460040
9131231526475
1042330120224
1116a52281937
128254331428
133cb7a42322
142097c3a920
15117b357c9e
hex9db126020

42330120224 has 96 divisors (see below), whose sum is σ = 101885817600. Its totient is φ = 16898162688.

The previous prime is 42330120163. The next prime is 42330120227. The reversal of 42330120224 is 42202103324.

It is a self number, because there is not a number n which added to its sum of digits gives 42330120224.

It is not an unprimeable number, because it can be changed into a prime (42330120227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312077 + ... + 426675.

It is an arithmetic number, because the mean of its divisors is an integer number (1061310600).

Almost surely, 242330120224 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 42330120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50942908800).

42330120224 is an abundant number, since it is smaller than the sum of its proper divisors (59555697376).

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

42330120224 is a wasteful number, since it uses less digits than its factorization.

42330120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114730 (or 114722 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42330120224 its reverse (42202103324), we get a palindrome (84532223548).

The spelling of 42330120224 in words is "forty-two billion, three hundred thirty million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 97 112 119 136 194 224 238 272 388 476 544 679 776 952 1358 1552 1649 1904 2716 3104 3298 3808 5432 6596 10864 11543 13192 21728 23086 26384 46172 52768 92344 114599 184688 229198 369376 458396 802193 916792 1604386 1833584 1948183 3208772 3667168 3896366 6417544 7792732 11116103 12835088 13637281 15585464 22232206 25670176 27274562 31170928 44464412 54549124 62341856 77812721 88928824 109098248 155625442 177857648 188973751 218196496 311250884 355715296 377947502 436392992 622501768 755895004 1245003536 1322816257 1511790008 2490007072 2645632514 3023580016 5291265028 6047160032 10582530056 21165060112 42330120224