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42424354440 = 233251319677121
BaseRepresentation
bin100111100000101100…
…000100011010001000
311001111121220111120200
4213200230010122020
51143341113320230
631253421052200
73031213030356
oct474054043210
9131447814520
1042424354440
1116aa0495456
12827b9b7060
134001417610
1420a656a7d6
15118476e160
hex9e0b04688

42424354440 has 384 divisors, whose sum is σ = 158655369600. Its totient is φ = 9744261120.

The previous prime is 42424354397. The next prime is 42424354451. The reversal of 42424354440 is 4445342424.

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

It is a junction number, because it is equal to n+sod(n) for n = 42424354395 and 42424354404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5954080 + ... + 5961200.

It is an arithmetic number, because the mean of its divisors is an integer number (413165025).

Almost surely, 242424354440 is an apocalyptic number.

42424354440 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 42424354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79327684800).

42424354440 is an abundant number, since it is smaller than the sum of its proper divisors (116231015160).

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

42424354440 is a wasteful number, since it uses less digits than its factorization.

42424354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 42424354440 its reverse (4445342424), we get a palindrome (46869696864).

The spelling of 42424354440 in words is "forty-two billion, four hundred twenty-four million, three hundred fifty-four thousand, four hundred forty".