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42943200000 = 2835529617
BaseRepresentation
bin100111111111100111…
…010011101100000000
311002211210012120212220
4213333213103230000
51200421424400000
631421113451040
73050113114551
oct477747235400
9132753176786
1042943200000
1117237353838
1283a5710a80
134084a6a51c
14211542a328
1511b50ab1a0
hex9ff9d3b00

42943200000 has 432 divisors, whose sum is σ = 148020838560. Its totient is φ = 11038720000.

The previous prime is 42943199989. The next prime is 42943200007. The reversal of 42943200000 is 234924.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42943200007) 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, 69599692 + ... + 69600308.

It is an arithmetic number, because the mean of its divisors is an integer number (342640830).

Almost surely, 242943200000 is an apocalyptic number.

42943200000 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 42943200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74010419280).

42943200000 is an abundant number, since it is smaller than the sum of its proper divisors (105077638560).

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

42943200000 is an frugal number, since it uses more digits than its factorization.

42943200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42943200000 its reverse (234924), we get a palindrome (42943434924).

The spelling of 42943200000 in words is "forty-two billion, nine hundred forty-three million, two hundred thousand".