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1444316260 = 225174499461
BaseRepresentation
bin101011000010110…
…1000010001100100
310201122201212102211
41112011220101210
510424221110020
6355152413204
750535325402
oct12605502144
93648655384
101444316260
11681308202
12343847204
131a02c6b0a
14d9b6a472
1586bea85a
hex56168464

1444316260 has 48 divisors (see below), whose sum is σ = 3218972400. Its totient is φ = 542474240.

The previous prime is 1444316233. The next prime is 1444316267. The reversal of 1444316260 is 626134441.

It can be written as a sum of positive squares in 8 ways, for example, as 99480676 + 1344835584 = 9974^2 + 36672^2 .

It is not an unprimeable number, because it can be changed into a prime (1444316267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147930 + ... + 157390.

It is an arithmetic number, because the mean of its divisors is an integer number (67061925).

Almost surely, 21444316260 is an apocalyptic number.

1444316260 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 1444316260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609486200).

1444316260 is an abundant number, since it is smaller than the sum of its proper divisors (1774656140).

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

1444316260 is a wasteful number, since it uses less digits than its factorization.

1444316260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1444316260 is about 38004.1610879651. The cubic root of 1444316260 is about 1130.3703748446.

It can be divided in two parts, 14443 and 16260, that added together give a palindrome (30703).

The spelling of 1444316260 in words is "one billion, four hundred forty-four million, three hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 449 898 1796 2245 4490 7633 8980 9461 15266 18922 30532 37844 38165 47305 76330 94610 152660 160837 189220 321674 643348 804185 1608370 3216740 4247989 8495978 16991956 21239945 42479890 72215813 84959780 144431626 288863252 361079065 722158130 1444316260