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42234242320 = 245976178821
BaseRepresentation
bin100111010101010110…
…110110010100010000
311001000101011210210001
4213111112312110100
51142443431223240
631222510215344
73023414064544
oct472526662420
9131011153701
1042234242320
1116a031463a6
1282281b4554
133ca0c12b3a
1420891dda24
151172c1989a
hex9d55b6510

42234242320 has 80 divisors (see below), whose sum is σ = 99378983088. Its totient is φ = 16690544640.

The previous prime is 42234242273. The next prime is 42234242327. The reversal of 42234242320 is 2324243224.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4593586176 + 37640656144 = 67776^2 + 194012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42234242327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4783510 + ... + 4792330.

Almost surely, 242234242320 is an apocalyptic number.

42234242320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49689491544).

42234242320 is an abundant number, since it is smaller than the sum of its proper divisors (57144740768).

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

42234242320 is a wasteful number, since it uses less digits than its factorization.

42234242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42234242320 its reverse (2324243224), we get a palindrome (44558485544).

The spelling of 42234242320 in words is "forty-two billion, two hundred thirty-four million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 617 776 970 1234 1552 1940 2468 3085 3880 4936 6170 7760 8821 9872 12340 17642 24680 35284 44105 49360 59849 70568 88210 119698 141136 176420 239396 299245 352840 478792 598490 705680 855637 957584 1196980 1711274 2393960 3422548 4278185 4787920 5442557 6845096 8556370 10885114 13690192 17112740 21770228 27212785 34225480 43540456 54425570 68450960 87080912 108851140 217702280 435404560 527928029 1055856058 2111712116 2639640145 4223424232 5279280290 8446848464 10558560580 21117121160 42234242320