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4190432029 = 7394112983
BaseRepresentation
bin1111100111000100…
…1110101100011101
3101211001001000002021
43321301032230131
532040222311104
61531451300141
7205562041000
oct37161165435
911731030067
104190432029
111860431673
1298b44a651
1351a2089a4
142ba765537
15197d3e754
hexf9c4eb1d

4190432029 has 16 divisors (see below), whose sum is σ = 4892371200. Its totient is φ = 3587705520.

The previous prime is 4190432023. The next prime is 4190432033. The reversal of 4190432029 is 9202340914.

It is not a de Polignac number, because 4190432029 - 211 = 4190429981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4190431985 and 4190432003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190432023) 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, 316272 + ... + 329254.

It is an arithmetic number, because the mean of its divisors is an integer number (305773200).

Almost surely, 24190432029 is an apocalyptic number.

4190432029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4190432029 is a deficient number, since it is larger than the sum of its proper divisors (701939171).

4190432029 is an equidigital number, since it uses as much as digits as its factorization.

4190432029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945 (or 13931 counting only the distinct ones).

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

The square root of 4190432029 is about 64733.5463959762. The cubic root of 4190432029 is about 1612.2025368326.

The spelling of 4190432029 in words is "four billion, one hundred ninety million, four hundred thirty-two thousand, twenty-nine".

Divisors: 1 7 49 343 941 6587 12983 46109 90881 322763 636167 4453169 12217003 85519021 598633147 4190432029