Search a number
-
+
285483142800 = 24325279300873
BaseRepresentation
bin1000010011110000001…
…11110000111010010000
31000021212210220021101100
410021320013300322100
514134132141032200
6335052114304400
726424352450452
oct4117007607220
91007783807340
10285483142800
11100088878659
12473b3888100
1320bc8414b8b
14db631662d2
15765ced2d00
hex42781f0e90

285483142800 has 90 divisors (see below), whose sum is σ = 990705818882. Its totient is φ = 76128837120.

The previous prime is 285483142739. The next prime is 285483142817. The reversal of 285483142800 is 8241384582.

285483142800 is a `hidden beast` number, since 2 + 8 + 54 + 8 + 314 + 280 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48493324944 + 236989817856 = 220212^2 + 486816^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39646837 + ... + 39654036.

Almost surely, 2285483142800 is an apocalyptic number.

285483142800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285483142800 is an abundant number, since it is smaller than the sum of its proper divisors (705222676082).

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

285483142800 is a wasteful number, since it uses less digits than its factorization.

285483142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79300897 (or 79300883 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 285483142800 in words is "two hundred eighty-five billion, four hundred eighty-three million, one hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 79300873 158601746 237902619 317203492 396504365 475805238 634406984 713707857 793008730 951610476 1189513095 1268813968 1427415714 1586017460 1903220952 1982521825 2379026190 2854831428 3172034920 3568539285 3806441904 3965043650 4758052380 5709662856 5947565475 6344069840 7137078570 7930087300 9516104760 11419325712 11895130950 14274157140 15860174600 17842696425 19032209520 23790261900 28548314280 31720349200 35685392850 47580523800 57096628560 71370785700 95161047600 142741571400 285483142800