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424141410240 = 263351723125551
BaseRepresentation
bin1100010110000001100…
…11000100111111000000
31111112210010220002002000
412023000303010333000
523422120200111430
6522503050224000
742433422334152
oct6130063047700
91445703802060
10424141410240
11153971850209
126a250125000
1330cc5019882
14167584ccad2
15b07601de60
hex62c0cc4fc0

424141410240 has 448 divisors, whose sum is σ = 1653188382720. Its totient is φ = 101822054400.

The previous prime is 424141410239. The next prime is 424141410241. The reversal of 424141410240 is 42014141424.

It is a happy number.

424141410240 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 4 + 1 + 410 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (424141410239) and next prime (424141410241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424141410241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315465 + ... + 3441015.

It is an arithmetic number, because the mean of its divisors is an integer number (3690152640).

Almost surely, 2424141410240 is an apocalyptic number.

424141410240 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 424141410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826594191360).

424141410240 is an abundant number, since it is smaller than the sum of its proper divisors (1229046972480).

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

424141410240 is a wasteful number, since it uses less digits than its factorization.

424141410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125617 (or 125601 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 424141410240 its reverse (42014141424), we get a palindrome (466155551664).

The spelling of 424141410240 in words is "four hundred twenty-four billion, one hundred forty-one million, four hundred ten thousand, two hundred forty".