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414342422440 = 23510358560561
BaseRepresentation
bin1100000011110001011…
…10111001111110101000
31110121111020100220211221
412001320232321332220
523242033130004230
6514202444031424
741635535323462
oct6017056717650
91417436326757
10414342422440
1114a7a354a691
1268376532574
13300c2b7c33b
14160a8d33132
15aba0b1a27a
hex6078bb9fa8

414342422440 has 16 divisors (see below), whose sum is σ = 932270450580. Its totient is φ = 165736968960.

The previous prime is 414342422419. The next prime is 414342422447. The reversal of 414342422440 is 44224243414.

It can be written as a sum of positive squares in 2 ways, for example, as 353470677156 + 60871745284 = 594534^2 + 246722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414342422396 and 414342422405.

It is not an unprimeable number, because it can be changed into a prime (414342422447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5179280241 + ... + 5179280320.

Almost surely, 2414342422440 is an apocalyptic number.

414342422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414342422440 is an abundant number, since it is smaller than the sum of its proper divisors (517928028140).

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

414342422440 is a wasteful number, since it uses less digits than its factorization.

414342422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358560572 (or 10358560568 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 414342422440 its reverse (44224243414), we get a palindrome (458566665854).

The spelling of 414342422440 in words is "four hundred fourteen billion, three hundred forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10358560561 20717121122 41434242244 51792802805 82868484488 103585605610 207171211220 414342422440