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42320240640 = 213335172251
BaseRepresentation
bin100111011010011110…
…111010000000000000
311001020100222222022000
4213122132322000000
51143132440200030
631235221344000
73025510052526
oct473236720000
9131210888260
1042320240640
1116a47744197
128250b68000
133cb5993512
1420967c8316
15117a555860
hex9da7ba000

42320240640 has 448 divisors, whose sum is σ = 159384309120. Its totient is φ = 10616832000.

The previous prime is 42320240621. The next prime is 42320240663. The reversal of 42320240640 is 4604202324.

42320240640 is a `hidden beast` number, since 42 + 320 + 240 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18799515 + ... + 18801765.

Almost surely, 242320240640 is an apocalyptic number.

42320240640 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 42320240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79692154560).

42320240640 is an abundant number, since it is smaller than the sum of its proper divisors (117064068480).

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

42320240640 is a wasteful number, since it uses less digits than its factorization.

42320240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42320240640 its reverse (4604202324), we get a palindrome (46924442964).

The spelling of 42320240640 in words is "forty-two billion, three hundred twenty million, two hundred forty thousand, six hundred forty".