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40416313129 is a prime number
BaseRepresentation
bin100101101000111111…
…111111111100101001
310212022200102102202021
4211220333333330221
51130233034010004
630322245504441
72630360664463
oct455077777451
9125280372667
1040416313129
111615aa56285
1279bb412121
133a713b60aa
141d559bb133
1510b831dd54
hex968ffff29

40416313129 has 2 divisors, whose sum is σ = 40416313130. Its totient is φ = 40416313128.

The previous prime is 40416313097. The next prime is 40416313151. The reversal of 40416313129 is 92131361404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31669761600 + 8746551529 = 177960^2 + 93523^2 .

It is a cyclic number.

It is not a de Polignac number, because 40416313129 - 25 = 40416313097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40416313094 and 40416313103.

It is not a weakly prime, because it can be changed into another prime (40416313229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20208156564 + 20208156565.

It is an arithmetic number, because the mean of its divisors is an integer number (20208156565).

Almost surely, 240416313129 is an apocalyptic number.

It is an amenable number.

40416313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

40416313129 is an equidigital number, since it uses as much as digits as its factorization.

40416313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 40416313129 in words is "forty billion, four hundred sixteen million, three hundred thirteen thousand, one hundred twenty-nine".