Search a number
-
+
42000423140 = 22513161540089
BaseRepresentation
bin100111000111011010…
…111001100011100100
311000102002012120011102
4213013122321203210
51142004102020030
631143354455232
73014544464144
oct470732714344
9130362176142
1042000423140
11168a3164605
128181a34518
133c646473b0
142066136924
15115c42ec45
hex9c76b98e4

42000423140 has 24 divisors (see below), whose sum is σ = 94985572920. Its totient is φ = 15507848448.

The previous prime is 42000423131. The next prime is 42000423169. The reversal of 42000423140 is 4132400024.

It can be written as a sum of positive squares in 4 ways, for example, as 273373156 + 41727049984 = 16534^2 + 204272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 80769785 + ... + 80770304.

It is an arithmetic number, because the mean of its divisors is an integer number (3957732205).

Almost surely, 242000423140 is an apocalyptic number.

It is an amenable number.

42000423140 is an abundant number, since it is smaller than the sum of its proper divisors (52985149780).

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

42000423140 is a wasteful number, since it uses less digits than its factorization.

42000423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161540111 (or 161540109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42000423140 its reverse (4132400024), we get a palindrome (46132823164).

The spelling of 42000423140 in words is "forty-two billion, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 161540089 323080178 646160356 807700445 1615400890 2100021157 3230801780 4200042314 8400084628 10500105785 21000211570 42000423140