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14043135440 = 245714435581
BaseRepresentation
bin11010001010000100…
…10011110111010000
31100020200122012021102
431011002103313100
5212230020313230
610241253043532
71005000452555
oct150502236720
940220565242
1014043135440
115a56a90564
12287b0265a8
13142a5328c9
14973104a2c
15572d04045
hex345093dd0

14043135440 has 80 divisors (see below), whose sum is σ = 33190839936. Its totient is φ = 5524646400.

The previous prime is 14043135433. The next prime is 14043135443. The reversal of 14043135440 is 4453134041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14043135443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2513450 + ... + 2519030.

Almost surely, 214043135440 is an apocalyptic number.

14043135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14043135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595419968).

14043135440 is an abundant number, since it is smaller than the sum of its proper divisors (19147704496).

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

14043135440 is a wasteful number, since it uses less digits than its factorization.

14043135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 14043135440 its reverse (4453134041), we get a palindrome (18496269481).

The spelling of 14043135440 in words is "fourteen billion, forty-three million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 443 568 710 886 1136 1420 1772 2215 2840 3544 4430 5581 5680 7088 8860 11162 17720 22324 27905 31453 35440 44648 55810 62906 89296 111620 125812 157265 223240 251624 314530 396251 446480 503248 629060 792502 1258120 1585004 1981255 2472383 2516240 3170008 3962510 4944766 6340016 7925020 9889532 12361915 15850040 19779064 24723830 31700080 39558128 49447660 98895320 175539193 197790640 351078386 702156772 877695965 1404313544 1755391930 2808627088 3510783860 7021567720 14043135440