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1444134300 = 223527687683
BaseRepresentation
bin101011000010011…
…1011110110011100
310201122101121211120
41112010323312130
510424144244200
6355144450540
750533640040
oct12604736634
93648347746
101444134300
116811a3524
12343779a50
131a026204b
14d9b20020
1586bb19a0
hex5613bd9c

1444134300 has 72 divisors (see below), whose sum is σ = 4775277696. Its totient is φ = 330087360.

The previous prime is 1444134283. The next prime is 1444134331. The reversal of 1444134300 is 34314441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341742 + ... + 345941.

Almost surely, 21444134300 is an apocalyptic number.

1444134300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444134300 is an abundant number, since it is smaller than the sum of its proper divisors (3331143396).

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

1444134300 is a wasteful number, since it uses less digits than its factorization.

1444134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687707 (or 687700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1444134300 is about 38001.7670641774. The cubic root of 1444134300 is about 1130.3229035169.

Adding to 1444134300 its reverse (34314441), we get a palindrome (1478448741).

The spelling of 1444134300 in words is "one billion, four hundred forty-four million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 687683 1375366 2063049 2750732 3438415 4126098 4813781 6876830 8252196 9627562 10315245 13753660 14441343 17192075 19255124 20630490 24068905 28882686 34384150 41260980 48137810 51576225 57765372 68768300 72206715 96275620 103152450 120344525 144413430 206304900 240689050 288826860 361033575 481378100 722067150 1444134300