Search a number
-
+
42350002224 = 24331169316811
BaseRepresentation
bin100111011100010000…
…011100000000110000
311001022110000000111220
4213130100130000300
51143213100032344
631242203305040
73026321036145
oct473420340060
9131273000456
1042350002224
1116a62521542
12825ab1b180
133cbbbb3b1a
14209a7343cc
15117ce83c19
hex9dc41c030

42350002224 has 80 divisors (see below), whose sum is σ = 113006767104. Its totient is φ = 13652409600.

The previous prime is 42350002223. The next prime is 42350002237. The reversal of 42350002224 is 42220005324.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42350002194 and 42350002203.

It is not an unprimeable number, because it can be changed into a prime (42350002223) 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, 2510779 + ... + 2527589.

Almost surely, 242350002224 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 42350002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56503383552).

42350002224 is an abundant number, since it is smaller than the sum of its proper divisors (70656764880).

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

42350002224 is a wasteful number, since it uses less digits than its factorization.

42350002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 18540 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 42350002224 its reverse (42220005324), we get a palindrome (84570007548).

The spelling of 42350002224 in words is "forty-two billion, three hundred fifty million, two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1693 3386 5079 6772 10158 13544 16811 20316 27088 33622 40632 50433 52483 67244 81264 100866 104966 134488 157449 201732 209932 268976 314898 403464 419864 521141 629796 806928 839728 1042282 1259592 1563423 2084564 2519184 3126846 4169128 6253692 8338256 12507384 25014768 28461023 56922046 85383069 113844092 170766138 227688184 341532276 455376368 683064552 882291713 1366129104 1764583426 2646875139 3529166852 5293750278 7058333704 10587500556 14116667408 21175001112 42350002224