Search a number
-
+
145142142015 = 35133720116721
BaseRepresentation
bin1000011100101100100…
…1010101010000111111
3111212122012112202111110
42013023021111100333
54334222342021030
6150402151453103
713325520564663
oct2071311252077
9455565482443
10145142142015
1156610a56592
1224167987193
13108c0ccab90
14704c5308a3
153b973a41b0
hex21cb25543f

145142142015 has 32 divisors (see below), whose sum is σ = 256850306496. Its totient is φ = 69523384320.

The previous prime is 145142141939. The next prime is 145142142017. The reversal of 145142142015 is 510241241541.

145142142015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145142142015 - 29 = 145142141503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145142142017) 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 31 ways as a sum of consecutive naturals, for example, 10051146 + ... + 10065575.

It is an arithmetic number, because the mean of its divisors is an integer number (8026572078).

Almost surely, 2145142142015 is an apocalyptic number.

145142142015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145142142015 is a deficient number, since it is larger than the sum of its proper divisors (111708164481).

145142142015 is a wasteful number, since it uses less digits than its factorization.

145142142015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20116779.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 145142142015 its reverse (510241241541), we get a palindrome (655383383556).

The spelling of 145142142015 in words is "one hundred forty-five billion, one hundred forty-two million, one hundred forty-two thousand, fifteen".

Divisors: 1 3 5 13 15 37 39 65 111 185 195 481 555 1443 2405 7215 20116721 60350163 100583605 261517373 301750815 744318677 784552119 1307586865 2232956031 3721593385 3922760595 9676142801 11164780155 29028428403 48380714005 145142142015