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440123140 = 225293720509
BaseRepresentation
bin11010001110111…
…011111100000100
31010200011120110001
4122032323330010
51400132420030
6111401211044
713622661562
oct3216737404
91120146401
10440123140
11206490036
12103490a84
137024c1c2
144264aa32
152898bcca
hex1a3bbf04

440123140 has 48 divisors (see below), whose sum is σ = 982018800. Its totient is φ = 165376512.

The previous prime is 440123137. The next prime is 440123153. The reversal of 440123140 is 41321044.

It can be written as a sum of positive squares in 8 ways, for example, as 46656 + 440076484 = 216^2 + 20978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11206 + ... + 31714.

It is an arithmetic number, because the mean of its divisors is an integer number (20458725).

Almost surely, 2440123140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491009400).

440123140 is an abundant number, since it is smaller than the sum of its proper divisors (541895660).

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

440123140 is a wasteful number, since it uses less digits than its factorization.

440123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584 (or 20582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 440123140 is about 20979.1119926464. Note that the first 3 decimals coincide. The cubic root of 440123140 is about 760.6614394078.

Adding to 440123140 its reverse (41321044), we get a palindrome (481444184).

The spelling of 440123140 in words is "four hundred forty million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 10730 20509 21460 41018 82036 102545 205090 410180 594761 758833 1189522 1517666 2379044 2973805 3035332 3794165 5947610 7588330 11895220 15176660 22006157 44012314 88024628 110030785 220061570 440123140