Search a number
-
+
14286515080 = 2351721009581
BaseRepresentation
bin11010100111000101…
…01110101110001000
31100212122121011101011
431103202232232020
5213224321440310
610321345333304
71014014242315
oct152342565610
940778534334
1014286515080
116071402262
122928637234
131468a97b26
14997579d0c
1558937b78a
hex3538aeb88

14286515080 has 32 divisors (see below), whose sum is σ = 34035522840. Its totient is φ = 5378452480.

The previous prime is 14286515071. The next prime is 14286515101. The reversal of 14286515080 is 8051568241.

It is a happy number.

14286515080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11621271204 + 2665243876 = 107802^2 + 51626^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10504111 + ... + 10505470.

Almost surely, 214286515080 is an apocalyptic number.

14286515080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14286515080 is an abundant number, since it is smaller than the sum of its proper divisors (19749007760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14286515080 is a wasteful number, since it uses less digits than its factorization.

14286515080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21009609 (or 21009605 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 14286515080 in words is "fourteen billion, two hundred eighty-six million, five hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 21009581 42019162 84038324 105047905 168076648 210095810 357162877 420191620 714325754 840383240 1428651508 1785814385 2857303016 3571628770 7143257540 14286515080