Search a number
-
+
42334422000 = 24353131573457
BaseRepresentation
bin100111011011010101…
…000000001111110000
311001021100200110110120
4213123111000033300
51143200103001000
631240445330240
73026041435563
oct473325001760
9131240613416
1042334422000
1116a5474a922
128255866980
133cb88ba360
14209863a4da
15117b9076a0
hex9db5403f0

42334422000 has 320 divisors, whose sum is σ = 147964113024. Its totient is φ = 10351411200.

The previous prime is 42334421999. The next prime is 42334422017. The reversal of 42334422000 is 22443324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 12244272 + ... + 12247728.

Almost surely, 242334422000 is an apocalyptic number.

42334422000 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 42334422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73982056512).

42334422000 is an abundant number, since it is smaller than the sum of its proper divisors (105629691024).

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

42334422000 is a wasteful number, since it uses less digits than its factorization.

42334422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42334422000 its reverse (22443324), we get a palindrome (42356865324).

The spelling of 42334422000 in words is "forty-two billion, three hundred thirty-four million, four hundred twenty-two thousand".