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1444320300 = 223529749633
BaseRepresentation
bin101011000010110…
…1001010000101100
310201122202001222110
41112011221100230
510424221222200
6355152444020
750535343233
oct12605512054
93648661873
101444320300
11681310245
12343849610
131a02c88c7
14d9b6bb1a
1586bebb50
hex5616942c

1444320300 has 72 divisors (see below), whose sum is σ = 4222066576. Its totient is φ = 381173760.

The previous prime is 1444320299. The next prime is 1444320341. The reversal of 1444320300 is 30234441.

It is a super-2 number, since 2×14443203002 = 4172122257984180000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4284 + ... + 53916.

Almost surely, 21444320300 is an apocalyptic number.

1444320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111033288).

1444320300 is an abundant number, since it is smaller than the sum of its proper divisors (2777746276).

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

1444320300 is a wasteful number, since it uses less digits than its factorization.

1444320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49747 (or 49740 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1444320300 is about 38004.2142400024. The cubic root of 1444320300 is about 1130.3714287902.

Adding to 1444320300 its reverse (30234441), we get a palindrome (1474554741).

It can be divided in two parts, 14443 and 20300, that added together give a palindrome (34743).

The spelling of 1444320300 in words is "one billion, four hundred forty-four million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 49633 99266 148899 198532 248165 297798 496330 595596 744495 992660 1240825 1488990 2481650 2977980 3722475 4814401 4963300 7444950 9628802 14443203 14889900 19257604 24072005 28886406 48144010 57772812 72216015 96288020 120360025 144432030 240720050 288864060 361080075 481440100 722160150 1444320300