Search a number
-
+
42043212200 = 235211413831217
BaseRepresentation
bin100111001001111110…
…001000000110101000
311000112001201110201102
4213021332020012220
51142101030242300
631151523540532
73015604256453
oct471176100650
9130461643642
1042043212200
111691532a670
12819422a748
133c70479572
14206bab449a
1511610830d5
hex9c9f881a8

42043212200 has 192 divisors, whose sum is σ = 109612984320. Its totient is φ = 14864384000.

The previous prime is 42043212199. The next prime is 42043212209. The reversal of 42043212200 is 221234024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42043212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34545992 + ... + 34547208.

It is an arithmetic number, because the mean of its divisors is an integer number (570900960).

Almost surely, 242043212200 is an apocalyptic number.

42043212200 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 42043212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54806492160).

42043212200 is an abundant number, since it is smaller than the sum of its proper divisors (67569772120).

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

42043212200 is a wasteful number, since it uses less digits than its factorization.

42043212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42043212200 its reverse (221234024), we get a palindrome (42264446224).

The spelling of 42043212200 in words is "forty-two billion, forty-three million, two hundred twelve thousand, two hundred".