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14240114241140 = 22541100057173561
BaseRepresentation
bin1100111100111000100011…
…1100110110111001110100
31212102100020001020020010202
43033032020330312321310
53331302223221204030
650141452420340032
72666546206622654
oct317161074667164
955370201206122
1014240114241140
1145a0220282997
12171b9b5544618
137c3ab5bb4288
14373321d78364
1519a640dc3745
hexcf388f36e74

14240114241140 has 48 divisors (see below), whose sum is σ = 30634094275344. Its totient is φ = 5557030195200.

The previous prime is 14240114241121. The next prime is 14240114241163. The reversal of 14240114241140 is 4114241104241.

It can be written as a sum of positive squares in 8 ways, for example, as 4143252108004 + 10096862133136 = 2035498^2 + 3177556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81959960 + ... + 82133520.

It is an arithmetic number, because the mean of its divisors is an integer number (638210297403).

Almost surely, 214240114241140 is an apocalyptic number.

14240114241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240114241140 is an abundant number, since it is smaller than the sum of its proper divisors (16393980034204).

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

14240114241140 is a wasteful number, since it uses less digits than its factorization.

14240114241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273668 (or 273666 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 14240114241140 its reverse (4114241104241), we get a palindrome (18354355345381).

The spelling of 14240114241140 in words is "fourteen trillion, two hundred forty billion, one hundred fourteen million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 100057 173561 200114 347122 400228 500285 694244 867805 1000570 1735610 2001140 3471220 4102337 7116001 8204674 14232002 16409348 20511685 28464004 35580005 41023370 71160010 82046740 142320020 17365992977 34731985954 69463971908 86829964885 173659929770 347319859540 712005712057 1424011424114 2848022848228 3560028560285 7120057120570 14240114241140