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440130100 = 225229151769
BaseRepresentation
bin11010001110111…
…101101000110100
31010200011220222211
4122032331220310
51400133130400
6111401303204
713623021064
oct3216755064
91120156884
10440130100
11206495293
12103494b04
1370252417
144264d3a4
152898ddba
hex1a3bda34

440130100 has 36 divisors (see below), whose sum is σ = 988022700. Its totient is φ = 169980160.

The previous prime is 440130083. The next prime is 440130107. The reversal of 440130100 is 1031044.

It can be written as a sum of positive squares in 6 ways, for example, as 13046544 + 427083556 = 3612^2 + 20666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440130107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72985 + ... + 78784.

It is an arithmetic number, because the mean of its divisors is an integer number (27445075).

Almost surely, 2440130100 is an apocalyptic number.

It is an amenable number.

440130100 is an abundant number, since it is smaller than the sum of its proper divisors (547892600).

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

440130100 is a wasteful number, since it uses less digits than its factorization.

440130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151812 (or 151805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 440130100 is about 20979.2778712710. The cubic root of 440130100 is about 760.6654490248.

Adding to 440130100 its reverse (1031044), we get a palindrome (441161144).

The spelling of 440130100 in words is "four hundred forty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 151769 303538 607076 758845 1517690 3035380 3794225 4401301 7588450 8802602 15176900 17605204 22006505 44013010 88026020 110032525 220065050 440130100