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4128430319 = 131992835639
BaseRepresentation
bin1111011000010010…
…1101100011101111
3101122201100222201122
43312010231203233
531423334232234
61521354331155
7204210035666
oct36604554357
911581328648
104128430319
111829433892
12972729abb
1350a40a8a0
142b2425ddd
1519269392e
hexf612d8ef

4128430319 has 16 divisors (see below), whose sum is σ = 4484928000. Its totient is φ = 3777640416.

The previous prime is 4128430309. The next prime is 4128430357. The reversal of 4128430319 is 9130348214.

It is a cyclic number.

It is not a de Polignac number, because 4128430319 - 28 = 4128430063 is a prime.

It is a super-2 number, since 2×41284303192 = 34087873797676883522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128430309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729302 + ... + 734940.

It is an arithmetic number, because the mean of its divisors is an integer number (280308000).

Almost surely, 24128430319 is an apocalyptic number.

4128430319 is a deficient number, since it is larger than the sum of its proper divisors (356497681).

4128430319 is a wasteful number, since it uses less digits than its factorization.

4128430319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4128430319 is about 64252.8623409105. The cubic root of 4128430319 is about 1604.2116020644.

The spelling of 4128430319 in words is "four billion, one hundred twenty-eight million, four hundred thirty thousand, three hundred nineteen".

Divisors: 1 13 199 283 2587 3679 5639 56317 73307 732121 1122161 1595837 14588093 20745881 317571563 4128430319