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444020444200 = 23522976555249
BaseRepresentation
bin1100111011000011010…
…11100100110000101000
31120110002112210122010001
412131201223210300220
524233323213203300
6535551415032344
744036145334324
oct6354153446050
91513075718101
10444020444200
11161342a686a3
127207966b6b4
1332b4261c968
14176c26c6984
15b83b34316a
hex6761ae4c28

444020444200 has 48 divisors (see below), whose sum is σ = 1067945737500. Its totient is φ = 171483755520.

The previous prime is 444020444191. The next prime is 444020444201. The reversal of 444020444200 is 2444020444.

It can be written as a sum of positive squares in 6 ways, for example, as 90592572196 + 353427872004 = 300986^2 + 594498^2 .

It is not an unprimeable number, because it can be changed into a prime (444020444201) 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, 38271825 + ... + 38283424.

Almost surely, 2444020444200 is an apocalyptic number.

444020444200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444020444200 is an abundant number, since it is smaller than the sum of its proper divisors (623925293300).

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

444020444200 is a wasteful number, since it uses less digits than its factorization.

444020444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76555294 (or 76555285 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444020444200 its reverse (2444020444), we get a palindrome (446464464644).

The spelling of 444020444200 in words is "four hundred forty-four billion, twenty million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 76555249 153110498 306220996 382776245 612441992 765552490 1531104980 1913881225 2220102221 3062209960 3827762450 4440204442 7655524900 8880408884 11100511105 15311049800 17760817768 22201022210 44402044420 55502555525 88804088840 111005111050 222010222100 444020444200