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1444747300 = 2252234491399
BaseRepresentation
bin101011000011101…
…0001100000100100
310201200112202201021
41112013101200210
510424323403200
6355205540524
750542102153
oct12607214044
93650482637
101444747300
11681582037
12343a14744
131a0418079
14d9c3d59a
1586c8341a
hex561d1824

1444747300 has 72 divisors (see below), whose sum is σ = 3281040000. Its totient is φ = 551147520.

The previous prime is 1444747279. The next prime is 1444747321. The reversal of 1444747300 is 37474441.

It is an interprime number because it is at equal distance from previous prime (1444747279) and next prime (1444747321).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032001 + ... + 1033399.

It is an arithmetic number, because the mean of its divisors is an integer number (45570000).

Almost surely, 21444747300 is an apocalyptic number.

1444747300 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 1444747300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520000).

1444747300 is an abundant number, since it is smaller than the sum of its proper divisors (1836292700).

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

1444747300 is a wasteful number, since it uses less digits than its factorization.

1444747300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 1444747300 is about 38009.8316228841. The cubic root of 1444747300 is about 1130.4828124499.

The spelling of 1444747300 in words is "one billion, four hundred forty-four million, seven hundred forty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 449 460 575 898 1150 1399 1796 2245 2300 2798 4490 5596 6995 8980 10327 11225 13990 20654 22450 27980 32177 34975 41308 44900 51635 64354 69950 103270 128708 139900 160885 206540 258175 321770 516350 628151 643540 804425 1032700 1256302 1608850 2512604 3140755 3217700 6281510 12563020 14447473 15703775 28894946 31407550 57789892 62815100 72237365 144474730 288949460 361186825 722373650 1444747300