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1444081716 = 2233711173651
BaseRepresentation
bin101011000010010…
…1111000000110100
310201122021221201000
41112010233000310
510424141103331
6355143403300
750533330530
oct12604570064
93648257630
101444081716
11681167a70
12343753530
131a024412c
14d9b08bc0
1586ba10e6
hex5612f034

1444081716 has 96 divisors (see below), whose sum is σ = 4667765760. Its totient is φ = 375084000.

The previous prime is 1444081697. The next prime is 1444081759. The reversal of 1444081716 is 6171804441.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 78510 + ... + 95141.

It is an arithmetic number, because the mean of its divisors is an integer number (48622560).

Almost surely, 21444081716 is an apocalyptic number.

It is an amenable number.

1444081716 is an abundant number, since it is smaller than the sum of its proper divisors (3223684044).

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

1444081716 is a wasteful number, since it uses less digits than its factorization.

1444081716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173682 (or 173674 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1444081716 is about 38001.0751953152. The cubic root of 1444081716 is about 1130.3091841971.

The spelling of 1444081716 in words is "one billion, four hundred forty-four million, eighty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 173651 347302 520953 694604 1041906 1215557 1562859 1910161 2083812 2431114 3125718 3646671 3820322 4688577 4862228 5730483 6251436 7293342 7640644 9377154 10940013 11460966 13371127 14586684 17191449 18754308 21880026 22921932 26742254 32820039 34382898 40113381 43760052 51574347 53484508 65640078 68765796 80226762 103148694 120340143 131280156 160453524 206297388 240680286 361020429 481360572 722040858 1444081716