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4231420785 = 3251741134909
BaseRepresentation
bin1111110000110110…
…0101101101110001
3101220220011110002100
43330031211231301
532131220431120
61535514011013
7206600324514
oct37415455561
911826143070
104231420785
111881588079
129a1116a69
1352585a5a7
142c1d94d7b
1519b739490
hexfc365b71

4231420785 has 48 divisors (see below), whose sum is σ = 7955372880. Its totient is φ = 2072186880.

The previous prime is 4231420777. The next prime is 4231420793. The reversal of 4231420785 is 5870241324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4231420777) and next prime (4231420793).

It can be written as a sum of positive squares in 8 ways, for example, as 578306304 + 3653114481 = 24048^2 + 60441^2 .

It is not a de Polignac number, because 4231420785 - 23 = 4231420777 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36090 + ... + 98819.

It is an arithmetic number, because the mean of its divisors is an integer number (165736935).

Almost surely, 24231420785 is an apocalyptic number.

4231420785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4231420785 is a deficient number, since it is larger than the sum of its proper divisors (3723952095).

4231420785 is a wasteful number, since it uses less digits than its factorization.

4231420785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134978 (or 134975 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4231420785 is about 65049.3719031937. The cubic root of 4231420785 is about 1617.4420823853.

The spelling of 4231420785 in words is "four billion, two hundred thirty-one million, four hundred twenty thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1845 2091 3485 6273 10455 31365 134909 404727 674545 1214181 2023635 2293453 5531269 6070905 6880359 11467265 16593807 20641077 27656345 34401795 49781421 82969035 94031573 103205385 248907105 282094719 470157865 846284157 1410473595 4231420785