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42400000424 = 2317535882353
BaseRepresentation
bin100111011111001111…
…001010100110101000
311001102221002012011002
4213133033022212220
51143313400003144
631251151054132
73030466025405
oct473717124650
9131387065132
1042400000424
1116a88770971
128273811348
133cc936b462
1420a322b2ac
15118255d14e
hex9df3ca9a8

42400000424 has 32 divisors (see below), whose sum is σ = 85764721320. Its totient is φ = 19576467456.

The previous prime is 42400000393. The next prime is 42400000453.

42400000424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 42387397924 + 12602500 = 205882^2 + 3550^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42400000396 and 42400000405.

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, 2933969 + ... + 2948384.

Almost surely, 242400000424 is an apocalyptic number.

It is an amenable number.

42400000424 is an abundant number, since it is smaller than the sum of its proper divisors (43364720896).

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

42400000424 is a wasteful number, since it uses less digits than its factorization.

42400000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882429 (or 5882425 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 42400000 and 424, that added together give a palindrome (42400424).

The spelling of 42400000424 in words is "forty-two billion, four hundred million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 901 1802 3604 7208 5882353 11764706 23529412 47058824 100000001 200000002 311764709 400000004 623529418 800000008 1247058836 2494117672 5300000053 10600000106 21200000212 42400000424