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14044403200 = 29528871237
BaseRepresentation
bin11010001010001110…
…01001011000000000
31100020210000121022111
431011013021120000
5212230331400300
610241340145104
71005014312632
oct150507113000
940223017274
1014044403200
115a57776aa3
12287b538194
13142a887969
14973354a52
15572ea49ba
hex3451c9600

14044403200 has 120 divisors (see below), whose sum is σ = 34863496272. Its totient is φ = 5606891520.

The previous prime is 14044403173. The next prime is 14044403203. The reversal of 14044403200 is 230444041.

It is a super-2 number, since 2×140444032002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044403203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11352982 + ... + 11354218.

Almost surely, 214044403200 is an apocalyptic number.

14044403200 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 14044403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431748136).

14044403200 is an abundant number, since it is smaller than the sum of its proper divisors (20819093072).

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

14044403200 is an equidigital number, since it uses as much as digits as its factorization.

14044403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14044403200 its reverse (230444041), we get a palindrome (14274847241).

The spelling of 14044403200 in words is "fourteen billion, forty-four million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 887 1237 1280 1600 1774 2474 2560 3200 3548 4435 4948 6185 6400 7096 8870 9896 12370 12800 14192 17740 19792 22175 24740 28384 30925 35480 39584 44350 49480 56768 61850 70960 79168 88700 98960 113536 123700 141920 158336 177400 197920 227072 247400 283840 316672 354800 395840 454144 494800 567680 633344 709600 791680 989600 1097219 1135360 1419200 1583360 1979200 2194438 2270720 2838400 3166720 3958400 4388876 5486095 5676800 7916800 8777752 10972190 11353600 15833600 17555504 21944380 27430475 35111008 43888760 54860950 70222016 87777520 109721900 140444032 175555040 219443800 280888064 351110080 438887600 561776128 702220160 877775200 1404440320 1755550400 2808880640 3511100800 7022201600 14044403200