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434124421040 = 2457017741163
BaseRepresentation
bin1100101000100111101…
…01001111011110110000
31112111112212200120101202
412110103311033132300
524103041322433130
6531233424550332
743236002460002
oct6242365173660
91474485616352
10434124421040
11158124a10a62
12701774823a8
1331c2633915b
14170242ac372
15b45c673145
hex6513d4f7b0

434124421040 has 40 divisors (see below), whose sum is σ = 1010779265808. Its totient is φ = 173402028800.

The previous prime is 434124421039. The next prime is 434124421051. The reversal of 434124421040 is 40124421434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 434124420994 and 434124421012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3814502 + ... + 3926661.

Almost surely, 2434124421040 is an apocalyptic number.

434124421040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434124421040 is an abundant number, since it is smaller than the sum of its proper divisors (576654844768).

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

434124421040 is a wasteful number, since it uses less digits than its factorization.

434124421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741877 (or 7741871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 434124421040 its reverse (40124421434), we get a palindrome (474248842474).

The spelling of 434124421040 in words is "four hundred thirty-four billion, one hundred twenty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 701 1402 2804 3505 5608 7010 11216 14020 28040 56080 7741163 15482326 30964652 38705815 61929304 77411630 123858608 154823260 309646520 619293040 5426555263 10853110526 21706221052 27132776315 43412442104 54265552630 86824884208 108531105260 217062210520 434124421040