Search a number
-
+
1444130016 = 25372149003
BaseRepresentation
bin101011000010011…
…1010110011100000
310201122101101221220
41112010322303200
510424144130031
6355144415040
750533621410
oct12604726340
93648341856
101444130016
116811a028a
12343777480
131a0260104
14d9b1c640
1586bb0596
hex5613ace0

1444130016 has 48 divisors (see below), whose sum is σ = 4332392064. Its totient is φ = 412608384.

The previous prime is 1444130011. The next prime is 1444130029. The reversal of 1444130016 is 6100314441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14441300162 = 4171023006224320512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444130011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073830 + ... + 1075173.

It is an arithmetic number, because the mean of its divisors is an integer number (90258168).

Almost surely, 21444130016 is an apocalyptic number.

1444130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1444130016 is an abundant number, since it is smaller than the sum of its proper divisors (2888262048).

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

1444130016 is a wasteful number, since it uses less digits than its factorization.

1444130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149023 (or 2149015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1444130016 is about 38001.7106983357. The cubic root of 1444130016 is about 1130.3217858212.

Adding to 1444130016 its reverse (6100314441), we get a palindrome (7544444457).

The spelling of 1444130016 in words is "one billion, four hundred forty-four million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2149003 4298006 6447009 8596012 12894018 15043021 17192024 25788036 30086042 34384048 45129063 51576072 60172084 68768096 90258126 103152144 120344168 180516252 206304288 240688336 361032504 481376672 722065008 1444130016