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4240414120 = 235106010353
BaseRepresentation
bin1111110010111111…
…1001010110101000
3101221112002100121211
43330233321112220
532141021222440
61540434442504
7210036632245
oct37457712650
911845070554
104240414120
11188666a988
129a4133434
13527688ba7
142c32565cc
1519c413eea
hexfcbf95a8

4240414120 has 16 divisors (see below), whose sum is σ = 9540931860. Its totient is φ = 1696165632.

The previous prime is 4240414117. The next prime is 4240414127. The reversal of 4240414120 is 214140424.

It can be written as a sum of positive squares in 2 ways, for example, as 3781512036 + 458902084 = 61494^2 + 21422^2 .

It is a super-2 number, since 2×42404141202 = 35962223818190748800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4240414091 and 4240414100.

It is not an unprimeable number, because it can be changed into a prime (4240414127) 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, 53005137 + ... + 53005216.

Almost surely, 24240414120 is an apocalyptic number.

4240414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240414120 is an abundant number, since it is smaller than the sum of its proper divisors (5300517740).

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

4240414120 is a wasteful number, since it uses less digits than its factorization.

4240414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106010364 (or 106010360 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4240414120 is about 65118.4622054299. The cubic root of 4240414120 is about 1618.5871591832.

Adding to 4240414120 its reverse (214140424), we get a palindrome (4454554544).

The spelling of 4240414120 in words is "four billion, two hundred forty million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 106010353 212020706 424041412 530051765 848082824 1060103530 2120207060 4240414120