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4129114144 = 25257502081
BaseRepresentation
bin1111011000011101…
…0100100000100000
3101122202122201202111
43312013110200200
531424023123034
61521421125104
7204215614441
oct36607244040
911582581674
104129114144
111829860631
129729b9794
1350a5b9c0c
142b25632c8
1519277b364
hexf61d4820

4129114144 has 24 divisors (see below), whose sum is σ = 8160840828. Its totient is φ = 2056519680.

The previous prime is 4129114117. The next prime is 4129114147. The reversal of 4129114144 is 4414119214.

It can be written as a sum of positive squares in 2 ways, for example, as 3319142544 + 809971600 = 57612^2 + 28460^2 .

It is a super-2 number, since 2×41291141442 = 34099167228361705472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4129114147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242817 + ... + 259264.

Almost surely, 24129114144 is an apocalyptic number.

It is an amenable number.

4129114144 is a deficient number, since it is larger than the sum of its proper divisors (4031726684).

4129114144 is a wasteful number, since it uses less digits than its factorization.

4129114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502348 (or 502340 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 4129114144 is about 64258.1834788379. The cubic root of 4129114144 is about 1604.3001699826.

The spelling of 4129114144 in words is "four billion, one hundred twenty-nine million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 257 514 1028 2056 4112 8224 502081 1004162 2008324 4016648 8033296 16066592 129034817 258069634 516139268 1032278536 2064557072 4129114144