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1444301460 = 2232572163753
BaseRepresentation
bin101011000010110…
…0100101010010100
310201122201010010200
41112011210222110
510424220121320
6355152220500
750535234300
oct12605445224
93648633120
101444301460
116812a8078
1234383a730
131a02c0164
14d9b64d00
1586be6290
hex56164a94

1444301460 has 108 divisors (see below), whose sum is σ = 5096351988. Its totient is φ = 330124032.

The previous prime is 1444301449. The next prime is 1444301479. The reversal of 1444301460 is 641034441.

It can be written as a sum of positive squares in 2 ways, for example, as 309689604 + 1134611856 = 17598^2 + 33684^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 73057 + ... + 90696.

Almost surely, 21444301460 is an apocalyptic number.

1444301460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444301460 is an abundant number, since it is smaller than the sum of its proper divisors (3652050528).

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

1444301460 is a wasteful number, since it uses less digits than its factorization.

1444301460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163782 (or 163770 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1444301460 is about 38003.9663719460. The cubic root of 1444301460 is about 1130.3665138392.

The spelling of 1444301460 in words is "one billion, four hundred forty-four million, three hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 163753 327506 491259 655012 818765 982518 1146271 1473777 1637530 1965036 2292542 2456295 2947554 3275060 3438813 4585084 4912590 5731355 5895108 6877626 7368885 8023897 9825180 10316439 11462710 13755252 14737770 16047794 17194065 20632878 22925420 24071691 29475540 32095588 34388130 40119485 41265756 48143382 51582195 68776260 72215073 80238970 96286764 103164390 120358455 144430146 160477940 206328780 240716910 288860292 361075365 481433820 722150730 1444301460