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1444083640 = 23536102091
BaseRepresentation
bin101011000010010…
…1111011110111000
310201122022001100021
41112010233132320
510424141134030
6355143420224
750533336246
oct12604573670
93648261307
101444083640
1168116945a
12343754674
131a0244c7c
14d9b09796
1586ba197a
hex5612f7b8

1444083640 has 16 divisors (see below), whose sum is σ = 3249188280. Its totient is φ = 577633440.

The previous prime is 1444083617. The next prime is 1444083647. The reversal of 1444083640 is 463804441.

It is a junction number, because it is equal to n+sod(n) for n = 1444083596 and 1444083605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444083647) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18051006 + ... + 18051085.

Almost surely, 21444083640 is an apocalyptic number.

1444083640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444083640 is an abundant number, since it is smaller than the sum of its proper divisors (1805104640).

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

1444083640 is a wasteful number, since it uses less digits than its factorization.

1444083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36102102 (or 36102098 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 1444083640 is about 38001.1005103800. The cubic root of 1444083640 is about 1130.3096861802.

The spelling of 1444083640 in words is "one billion, four hundred forty-four million, eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 36102091 72204182 144408364 180510455 288816728 361020910 722041820 1444083640