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42242442200 = 2352744368111
BaseRepresentation
bin100111010101110110…
…001000001111011000
311001000221121101220022
4213111312020033120
51143003031122300
631223402050012
73023543556110
oct472566101730
9131027541808
1042242442200
1116a07837062
12822aaa9908
133ca282423a
14208a336040
1511737d9285
hex9d5d883d8

42242442200 has 96 divisors (see below), whose sum is σ = 112499228160. Its totient is φ = 14450217600.

The previous prime is 42242442167. The next prime is 42242442239. The reversal of 42242442200 is 224424224.

42242442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42242442200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586145 + ... + 654255.

It is an arithmetic number, because the mean of its divisors is an integer number (1171866960).

Almost surely, 242242442200 is an apocalyptic number.

42242442200 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 42242442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56249614080).

42242442200 is an abundant number, since it is smaller than the sum of its proper divisors (70256785960).

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

42242442200 is a wasteful number, since it uses less digits than its factorization.

42242442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68577 (or 68568 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42242442200 its reverse (224424224), we get a palindrome (42466866424).

The spelling of 42242442200 in words is "forty-two billion, two hundred forty-two million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 443 700 886 1400 1772 2215 3101 3544 4430 6202 8860 11075 12404 15505 17720 22150 24808 31010 44300 62020 68111 77525 88600 124040 136222 155050 272444 310100 340555 476777 544888 620200 681110 953554 1362220 1702775 1907108 2383885 2724440 3405550 3814216 4767770 6811100 9535540 11919425 13622200 19071080 23838850 30173173 47677700 60346346 95355400 120692692 150865865 211212211 241385384 301731730 422424422 603463460 754329325 844848844 1056061055 1206926920 1508658650 1689697688 2112122110 3017317300 4224244220 5280305275 6034634600 8448488440 10560610550 21121221100 42242442200