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42210000000 = 273257767
BaseRepresentation
bin100111010011111010…
…010111110010000000
311000221200120011120100
4213103322113302000
51142421230000000
631220242442400
73023001036330
oct472372276200
9130850504510
1042210000000
11169a0498823
128220063400
133c98ba577c
142085ccd0c0
151170a2ba00
hex9d3e97c80

42210000000 has 768 divisors, whose sum is σ = 176108924160. Its totient is φ = 9504000000.

The previous prime is 42209999957. The next prime is 42210000017. The reversal of 42210000000 is 1224.

42210000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629999967 + ... + 630000033.

It is an arithmetic number, because the mean of its divisors is an integer number (229308495).

Almost surely, 242210000000 is an apocalyptic number.

42210000000 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 42210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88054462080).

42210000000 is an abundant number, since it is smaller than the sum of its proper divisors (133898924160).

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

42210000000 is an frugal number, since it uses more digits than its factorization.

42210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 42210000000 its reverse (1224), we get a palindrome (42210001224).

The spelling of 42210000000 in words is "forty-two billion, two hundred ten million", and thus it is an aban number.