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424340042040 = 2332517931720773
BaseRepresentation
bin1100010110011001010…
…00110011000100111000
31111120021222122121200100
412023030220303010320
523423022022321130
6522534503435400
742441353562465
oct6131450630470
91446258577610
10424340042040
11153a63989222
126a2a6755b60
1331027215195
1416776a3666c
15b0886a7c60
hex62cca33138

424340042040 has 192 divisors, whose sum is σ = 1391251399200. Its totient is φ = 112164811776.

The previous prime is 424340042039. The next prime is 424340042057. The reversal of 424340042040 is 40240043424.

It is a happy number.

424340042040 is a `hidden beast` number, since 424 + 34 + 0 + 0 + 4 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424340041995 and 424340042013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20417094 + ... + 20437866.

Almost surely, 2424340042040 is an apocalyptic number.

424340042040 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 424340042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695625699600).

424340042040 is an abundant number, since it is smaller than the sum of its proper divisors (966911357160).

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

424340042040 is a wasteful number, since it uses less digits than its factorization.

424340042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21279 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 424340042040 its reverse (40240043424), we get a palindrome (464580085464).

The spelling of 424340042040 in words is "four hundred twenty-four billion, three hundred forty million, forty-two thousand, forty".