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4100410420 = 2251321155201
BaseRepresentation
bin1111010001100111…
…0100110000110100
3101120202122102122121
43310121310300310
531344201113140
61514514005324
7203416625221
oct36431646064
911522572577
104100410420
111814636047
12965276844
13504679c72
142ac810948
1518eeab64a
hexf4674c34

4100410420 has 24 divisors (see below), whose sum is σ = 8617435848. Its totient is φ = 1638912000.

The previous prime is 4100410409. The next prime is 4100410439. The reversal of 4100410420 is 240140014.

4100410420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 742671504 + 3357738916 = 27252^2 + 57946^2 .

It is a super-2 number, since 2×41004104202 = 33626731224889152800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100410394 and 4100410403.

It is a congruent number.

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, 51181 + ... + 104020.

It is an arithmetic number, because the mean of its divisors is an integer number (359059827).

Almost surely, 24100410420 is an apocalyptic number.

It is an amenable number.

4100410420 is an abundant number, since it is smaller than the sum of its proper divisors (4517025428).

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

4100410420 is a wasteful number, since it uses less digits than its factorization.

4100410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156531 (or 156529 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4100410420 is about 64034.4471358971. The cubic root of 4100410420 is about 1600.5740674420.

Adding to 4100410420 its reverse (240140014), we get a palindrome (4340550434).

The spelling of 4100410420 in words is "four billion, one hundred million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1321 2642 5284 6605 13210 26420 155201 310402 620804 776005 1552010 3104020 205020521 410041042 820082084 1025102605 2050205210 4100410420