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424413313040 = 2455305166413
BaseRepresentation
bin1100010110100010000…
…00010011100000010000
31111120111002112011121002
412023101000103200100
523423144302004130
6522550042121132
742443233431533
oct6132100234020
91446432464532
10424413313040
11153aa1283872
126a3071b01a8
133103945a7c2
141678266aa1a
15b08ed2cb45
hex62d1013810

424413313040 has 20 divisors (see below), whose sum is σ = 986760953004. Its totient is φ = 169765325184.

The previous prime is 424413313033. The next prime is 424413313081. The reversal of 424413313040 is 40313314424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118135189264 + 306278123776 = 343708^2 + 553424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 424413312994 and 424413313012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2652583127 + ... + 2652583286.

Almost surely, 2424413313040 is an apocalyptic number.

424413313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424413313040 is an abundant number, since it is smaller than the sum of its proper divisors (562347639964).

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

424413313040 is a wasteful number, since it uses less digits than its factorization.

424413313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305166426 (or 5305166420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 424413313040 its reverse (40313314424), we get a palindrome (464726627464).

The spelling of 424413313040 in words is "four hundred twenty-four billion, four hundred thirteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5305166413 10610332826 21220665652 26525832065 42441331304 53051664130 84882662608 106103328260 212206656520 424413313040