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42431543280 = 243357191271163
BaseRepresentation
bin100111100001000111…
…011111011111110000
311001112010102201211000
4213201013133133300
51143344433341110
631254235122000
73031331111160
oct474107373760
9131463381730
1042431543280
1116aa4555545
1282822a3300
134002a63779
1420a74bc5a0
1511851de1c0
hex9e11df7f0

42431543280 has 640 divisors, whose sum is σ = 177360076800. Its totient is φ = 9107997696.

The previous prime is 42431543269. The next prime is 42431543281. The reversal of 42431543280 is 8234513424.

42431543280 is a `hidden beast` number, since 4 + 2 + 4 + 31 + 543 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431543281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36483979 + ... + 36485141.

It is an arithmetic number, because the mean of its divisors is an integer number (277125120).

Almost surely, 242431543280 is an apocalyptic number.

42431543280 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 42431543280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88680038400).

42431543280 is an abundant number, since it is smaller than the sum of its proper divisors (134928533520).

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

42431543280 is a wasteful number, since it uses less digits than its factorization.

42431543280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42431543280 in words is "forty-two billion, four hundred thirty-one million, five hundred forty-three thousand, two hundred eighty".