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1444133062340 = 22572206653117
BaseRepresentation
bin10101000000111101000…
…010011100011011000100
312010001120010010122122022
4111000331002130123010
5142130041030443330
63023231531222312
7206222651331203
oct25007502343304
95101503118568
101444133062340
115074a9513231
121b3a712a7998
13a6248029447
144dc79a8723a
1527872902ae5
hex1503d09c6c4

1444133062340 has 12 divisors (see below), whose sum is σ = 3032679430956. Its totient is φ = 577653224928.

The previous prime is 1444133062321. The next prime is 1444133062349. The reversal of 1444133062340 is 432603314441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1054946735236 + 389186327104 = 1027106^2 + 623848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1444133062340.

It is not an unprimeable number, because it can be changed into a prime (1444133062349) 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, 36103326539 + ... + 36103326578.

It is an arithmetic number, because the mean of its divisors is an integer number (252723285913).

Almost surely, 21444133062340 is an apocalyptic number.

1444133062340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444133062340 is an abundant number, since it is smaller than the sum of its proper divisors (1588546368616).

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

1444133062340 is a wasteful number, since it uses less digits than its factorization.

1444133062340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72206653126 (or 72206653124 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 1444133062340 its reverse (432603314441), we get a palindrome (1876736376781).

The spelling of 1444133062340 in words is "one trillion, four hundred forty-four billion, one hundred thirty-three million, sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 72206653117 144413306234 288826612468 361033265585 722066531170 1444133062340