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42242200000 = 265571113211
BaseRepresentation
bin100111010101110101…
…001101000111000000
311001000221011002122221
4213111311031013000
51143003000400000
631223352540424
73023541530020
oct472565150700
9131027132587
1042242200000
1116a076910a0
12822a9b1714
133ca276ac20
14208a2b1a80
15117378c61a
hex9d5d4d1c0

42242200000 has 672 divisors, whose sum is σ = 141341953536. Its totient is φ = 12096000000.

The previous prime is 42242199959. The next prime is 42242200031. The reversal of 42242200000 is 224224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 200199895 + ... + 200200105.

It is an arithmetic number, because the mean of its divisors is an integer number (210330288).

Almost surely, 242242200000 is an apocalyptic number.

42242200000 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 42242200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670976768).

42242200000 is an abundant number, since it is smaller than the sum of its proper divisors (99099753536).

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

42242200000 is a wasteful number, since it uses less digits than its factorization.

42242200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42242200000 its reverse (224224), we get a palindrome (42242424224).

It can be divided in two parts, 42242 and 200000, that added together give a palindrome (242242).

The spelling of 42242200000 in words is "forty-two billion, two hundred forty-two million, two hundred thousand".