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459359011140 = 223519402946501
BaseRepresentation
bin1101010111100111110…
…11100100000101000100
31121220200112000120022220
412223303323210011010
530011231401324030
6551005425452340
745121226112351
oct6536373440504
91556615016286
10459359011140
111678a4205aa7
127503a4a10b0
133441834ac83
141833987d628
15be37c33a10
hex6af3ee4144

459359011140 has 48 divisors (see below), whose sum is σ = 1353900246720. Its totient is φ = 116048592000.

The previous prime is 459359011073. The next prime is 459359011141. The reversal of 459359011140 is 41110953954.

459359011140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4593590111402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459359011092 and 459359011101.

It is not an unprimeable number, because it can be changed into a prime (459359011141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201472111 + ... + 201474390.

It is an arithmetic number, because the mean of its divisors is an integer number (28206255140).

Almost surely, 2459359011140 is an apocalyptic number.

It is an amenable number.

459359011140 is an abundant number, since it is smaller than the sum of its proper divisors (894541235580).

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

459359011140 is a wasteful number, since it uses less digits than its factorization.

459359011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402946532 (or 402946530 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 459359011140 in words is "four hundred fifty-nine billion, three hundred fifty-nine million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 402946501 805893002 1208839503 1611786004 2014732505 2417679006 4029465010 4835358012 6044197515 7655983519 8058930020 12088395030 15311967038 22967950557 24176790060 30623934076 38279917595 45935901114 76559835190 91871802228 114839752785 153119670380 229679505570 459359011140