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1444004250 = 235313295107
BaseRepresentation
bin101011000010001…
…1100000110011010
310201122011000102220
41112010130012122
510424131114000
6355142004510
750532555633
oct12604340632
93648130386
101444004250
11681114847
12343716736
131a0217ab0
14d9ac888a
1586b881a0
hex5611c19a

1444004250 has 128 divisors (see below), whose sum is σ = 4016113920. Its totient is φ = 343123200.

The previous prime is 1444004231. The next prime is 1444004251. The reversal of 1444004250 is 524004441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444004250.

It is not an unprimeable number, because it can be changed into a prime (1444004251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 280197 + ... + 285303.

It is an arithmetic number, because the mean of its divisors is an integer number (31375890).

Almost surely, 21444004250 is an apocalyptic number.

1444004250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444004250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008056960).

1444004250 is an abundant number, since it is smaller than the sum of its proper divisors (2572109670).

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

1444004250 is a wasteful number, since it uses less digits than its factorization.

1444004250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1444004250 is about 38000.0559210115. The cubic root of 1444004250 is about 1130.2889724838.

Adding to 1444004250 its reverse (524004441), we get a palindrome (1968008691).

The spelling of 1444004250 in words is "one billion, four hundred forty-four million, four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 29 30 39 50 58 65 75 78 87 125 130 145 150 174 195 250 290 325 375 377 390 435 650 725 750 754 870 975 1131 1450 1625 1885 1950 2175 2262 3250 3625 3770 4350 4875 5107 5655 7250 9425 9750 10214 10875 11310 15321 18850 21750 25535 28275 30642 47125 51070 56550 66391 76605 94250 127675 132782 141375 148103 153210 199173 255350 282750 296206 331955 383025 398346 444309 638375 663910 740515 766050 888618 995865 1276750 1481030 1659775 1915125 1925339 1991730 2221545 3319550 3702575 3830250 3850678 4443090 4979325 5776017 7405150 8298875 9626695 9958650 11107725 11552034 16597750 18512875 19253390 22215450 24896625 28880085 37025750 48133475 49793250 55538625 57760170 96266950 111077250 144400425 240667375 288800850 481334750 722002125 1444004250