Search a number
-
+
42214444320 = 25351097011151
BaseRepresentation
bin100111010100001011…
…010100110100100000
311000221222220222000210
4213110023110310200
51142423344204240
631220522014120
73023053566456
oct472413246440
9130858828023
1042214444320
11169a2a53914
128221647340
133c99aa0649
1420867289d6
151171108780
hex9d42d4d20

42214444320 has 192 divisors, whose sum is σ = 134503649280. Its totient is φ = 11128320000.

The previous prime is 42214444291. The next prime is 42214444367. The reversal of 42214444320 is 2344441224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36675745 + ... + 36676895.

It is an arithmetic number, because the mean of its divisors is an integer number (700539840).

Almost surely, 242214444320 is an apocalyptic number.

42214444320 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 42214444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67251824640).

42214444320 is an abundant number, since it is smaller than the sum of its proper divisors (92289204960).

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

42214444320 is a wasteful number, since it uses less digits than its factorization.

42214444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42214444320 its reverse (2344441224), we get a palindrome (44558885544).

The spelling of 42214444320 in words is "forty-two billion, two hundred fourteen million, four hundred forty-four thousand, three hundred twenty".