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434425012040 = 23510860625301
BaseRepresentation
bin1100101001001011011…
…11111001111101001000
31112112022211022011201202
412110211233321331020
524104200300341130
6531323323403332
743246312450415
oct6244557717510
91475284264652
10434425012040
11158269659478
1270240083548
1331c736b2c56
141705219710c
15b478c4c145
hex6525bf9f48

434425012040 has 16 divisors (see below), whose sum is σ = 977456277180. Its totient is φ = 173770004800.

The previous prime is 434425012033. The next prime is 434425012081. The reversal of 434425012040 is 40210524434.

It can be written as a sum of positive squares in 2 ways, for example, as 405690015844 + 28734996196 = 636938^2 + 169514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434425011994 and 434425012012.

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, 5430312611 + ... + 5430312690.

Almost surely, 2434425012040 is an apocalyptic number.

434425012040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434425012040 is an abundant number, since it is smaller than the sum of its proper divisors (543031265140).

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

434425012040 is a wasteful number, since it uses less digits than its factorization.

434425012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860625312 (or 10860625308 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 434425012040 its reverse (40210524434), we get a palindrome (474635536474).

The spelling of 434425012040 in words is "four hundred thirty-four billion, four hundred twenty-five million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10860625301 21721250602 43442501204 54303126505 86885002408 108606253010 217212506020 434425012040