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1444017132 = 22346173063
BaseRepresentation
bin101011000010001…
…1111001111101100
310201122011200010000
41112010133033230
510424132022012
6355142144300
750532641325
oct12604371754
93648150100
101444017132
11681123498
12343722090
131a022090c
14d9acd44c
1586b8bddc
hex5611f3ec

1444017132 has 60 divisors (see below), whose sum is σ = 3836882896. Its totient is φ = 473441760.

The previous prime is 1444017101. The next prime is 1444017199. The reversal of 1444017132 is 2317104441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1444017096 and 1444017105.

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 19 ways as a sum of consecutive naturals, for example, 16768 + ... + 56295.

Almost surely, 21444017132 is an apocalyptic number.

1444017132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1444017132 is an abundant number, since it is smaller than the sum of its proper divisors (2392865764).

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

1444017132 is a wasteful number, since it uses less digits than its factorization.

1444017132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73140 (or 73129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1444017132 is about 38000.2254203840. The cubic root of 1444017132 is about 1130.2923335864.

The spelling of 1444017132 in words is "one billion, four hundred forty-four million, seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9882 19764 73063 146126 219189 292252 438378 657567 876756 1315134 1972701 2630268 3945402 4456843 5918103 7890804 8913686 11836206 13370529 17827372 23672412 26741058 40111587 53482116 80223174 120334761 160446348 240669522 361004283 481339044 722008566 1444017132