Search a number
-
+
42003234240 = 2635113124139
BaseRepresentation
bin100111000111100101…
…100111110111000000
311000102021111101021020
4213013211213313000
51142010311443430
631143535025440
73014610412602
oct470745476700
9130367441236
1042003234240
11168a4804630
12818296b280
133c650bca76
142066669172
15115c7d7b10
hex9c7967dc0

42003234240 has 336 divisors, whose sum is σ = 150364667520. Its totient is φ = 9851750400.

The previous prime is 42003234233. The next prime is 42003234253. The reversal of 42003234240 is 4243230024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42003234240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10146091 + ... + 10150229.

Almost surely, 242003234240 is an apocalyptic number.

42003234240 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 42003234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75182333760).

42003234240 is an abundant number, since it is smaller than the sum of its proper divisors (108361433280).

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

42003234240 is a wasteful number, since it uses less digits than its factorization.

42003234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4191 counting only the distinct ones).

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

Adding to 42003234240 its reverse (4243230024), we get a palindrome (46246464264).

The spelling of 42003234240 in words is "forty-two billion, three million, two hundred thirty-four thousand, two hundred forty".