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4124404040 = 2351003710273
BaseRepresentation
bin1111010111010101…
…0110100101001000
3101122102210102201012
43311311112211020
531421321412130
61521132143052
7204130566401
oct36565264510
911572712635
104124404040
111827133889
12971307a88
1350962b083
142b1a989a8
1519214a995
hexf5d56948

4124404040 has 32 divisors (see below), whose sum is σ = 9281737080. Its totient is φ = 1649436672.

The previous prime is 4124403991. The next prime is 4124404049. The reversal of 4124404040 is 404044214.

It can be written as a sum of positive squares in 4 ways, for example, as 2437001956 + 1687402084 = 49366^2 + 41078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4124403997 and 4124404015.

It is not an unprimeable number, because it can be changed into a prime (4124404049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396344 + ... + 406616.

Almost surely, 24124404040 is an apocalyptic number.

4124404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124404040 is an abundant number, since it is smaller than the sum of its proper divisors (5157333040).

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

4124404040 is a wasteful number, since it uses less digits than its factorization.

4124404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20321 (or 20317 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4124404040 is about 64221.5231834313. The cubic root of 4124404040 is about 1603.6899264434.

Adding to 4124404040 its reverse (404044214), we get a palindrome (4528448254).

The spelling of 4124404040 in words is "four billion, one hundred twenty-four million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10037 10273 20074 20546 40148 41092 50185 51365 80296 82184 100370 102730 200740 205460 401480 410920 103110101 206220202 412440404 515550505 824880808 1031101010 2062202020 4124404040