Search a number
-
+
201044443344 = 24331135110513
BaseRepresentation
bin1011101100111100101…
…1101100000011010000
3201012221010120220102020
42323033023230003100
511243214334141334
6232205240051440
720345032400223
oct2731713540320
9635833526366
10201044443344
117829838aa18
1232b69463b80
1315c5c81a4a4
149a32abb5ba
155369ed3e49
hex2ecf2ec0d0

201044443344 has 40 divisors (see below), whose sum is σ = 536118519552. Its totient is φ = 64853045760.

The previous prime is 201044443333. The next prime is 201044443387. The reversal of 201044443344 is 443344440102.

201044443344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 67553769 + ... + 67556744.

Almost surely, 2201044443344 is an apocalyptic number.

201044443344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044443344 is an abundant number, since it is smaller than the sum of its proper divisors (335074076208).

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

201044443344 is a wasteful number, since it uses less digits than its factorization.

201044443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135110555 (or 135110549 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 201044443344 its reverse (443344440102), we get a palindrome (644388883446).

The spelling of 201044443344 in words is "two hundred one billion, forty-four million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 135110513 270221026 405331539 540442052 810663078 1080884104 1621326156 2161768208 3242652312 4188425903 6485304624 8376851806 12565277709 16753703612 25130555418 33507407224 50261110836 67014814448 100522221672 201044443344