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42223014132 = 223135334714717
BaseRepresentation
bin100111010100101100…
…000001000011110100
311000222121001100121020
4213110230001003310
51142433042423012
631221425421140
73023216461365
oct472454010364
9130877040536
1042223014132
11169a7877502
12822449a7b0
133c9b7b1240
142087919b6c
151171c4ca8c
hex9d4b010f4

42223014132 has 96 divisors (see below), whose sum is σ = 108419617152. Its totient is φ = 12708973056.

The previous prime is 42223014131. The next prime is 42223014151. The reversal of 42223014132 is 23141032224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223014131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2861638 + ... + 2876354.

It is an arithmetic number, because the mean of its divisors is an integer number (1129371012).

Almost surely, 242223014132 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 42223014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54209808576).

42223014132 is an abundant number, since it is smaller than the sum of its proper divisors (66196603020).

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

42223014132 is a wasteful number, since it uses less digits than its factorization.

42223014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42223014132 its reverse (23141032224), we get a palindrome (65364046356).

The spelling of 42223014132 in words is "forty-two billion, two hundred twenty-three million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 347 636 689 694 1041 1378 1388 2067 2082 2756 4134 4164 4511 8268 9022 13533 14717 18044 18391 27066 29434 36782 44151 54132 55173 58868 73564 88302 110346 176604 191321 220692 239083 382642 478166 573963 717249 765284 780001 956332 1147926 1434498 1560002 2295852 2340003 2868996 3120004 4680006 5106799 9360012 10140013 10213598 15320397 20280026 20427196 30420039 30640794 40560052 60840078 61281588 66388387 121680156 132776774 199165161 265553548 270660347 398330322 541320694 796660644 811981041 1082641388 1623962082 3247924164 3518584511 7037169022 10555753533 14074338044 21111507066 42223014132