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14044342050 = 23252181269641
BaseRepresentation
bin11010001010001101…
…11010011100100010
31100020202220111102200
431011012322130202
5212230322421200
610241334554030
71005013636434
oct150506723442
940222814380
1014044342050
115a57735062
12287b508916
13142a865b8b
1497333a654
15572e91800
hex3451ba722

14044342050 has 144 divisors (see below), whose sum is σ = 38141386920. Its totient is φ = 3704832000.

The previous prime is 14044342049. The next prime is 14044342051. The reversal of 14044342050 is 5024344041.

It is a happy number.

14044342050 is a `hidden beast` number, since 14 + 0 + 443 + 4 + 205 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14044342049) and next prime (14044342051).

It can be written as a sum of positive squares in 12 ways, for example, as 195524289 + 13848817761 = 13983^2 + 117681^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14044342051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21909730 + ... + 21910370.

Almost surely, 214044342050 is an apocalyptic number.

14044342050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044342050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070693460).

14044342050 is an abundant number, since it is smaller than the sum of its proper divisors (24097044870).

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

14044342050 is a wasteful number, since it uses less digits than its factorization.

14044342050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14044342050 its reverse (5024344041), we get a palindrome (19068686091).

The spelling of 14044342050 in words is "fourteen billion, forty-four million, three hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 269 362 450 538 543 641 807 905 1086 1282 1345 1614 1629 1810 1923 2421 2690 2715 3205 3258 3846 4035 4525 4842 5430 5769 6410 6725 8070 8145 9050 9615 11538 12105 13450 13575 16025 16290 19230 20175 24210 27150 28845 32050 40350 40725 48075 48689 57690 60525 81450 96150 97378 116021 121050 144225 146067 172429 232042 243445 288450 292134 344858 348063 438201 486890 517287 580105 696126 730335 862145 876402 1034574 1044189 1160210 1217225 1460670 1551861 1724290 1740315 2088378 2191005 2434450 2586435 2900525 3103722 3480630 3651675 4310725 4382010 5172870 5220945 5801050 7303350 7759305 8621450 8701575 10441890 10955025 12932175 15518610 17403150 21910050 25864350 26104725 31209649 38796525 52209450 62419298 77593050 93628947 156048245 187257894 280886841 312096490 468144735 561773682 780241225 936289470 1404434205 1560482450 2340723675 2808868410 4681447350 7022171025 14044342050