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14044332400 = 2452717295049
BaseRepresentation
bin11010001010001101…
…11000000101110000
31100020202220000012021
431011012320011300
5212230322114100
610241334441224
71005013566340
oct150506700560
940222800167
1014044332400
115a5772888a
12287b503214
13142a861677
14973336d20
15572e8da1a
hex3451b8170

14044332400 has 120 divisors (see below), whose sum is σ = 40830199200. Its totient is φ = 4531937280.

The previous prime is 14044332373. The next prime is 14044332431. The reversal of 14044332400 is 423344041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99925 + ... + 195124.

It is an arithmetic number, because the mean of its divisors is an integer number (340251660).

Almost surely, 214044332400 is an apocalyptic number.

14044332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14044332400 is an abundant number, since it is smaller than the sum of its proper divisors (26785866800).

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

14044332400 is a wasteful number, since it uses less digits than its factorization.

14044332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295091 (or 295080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14044332400 its reverse (423344041), we get a palindrome (14467676441).

The spelling of 14044332400 in words is "fourteen billion, forty-four million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 340 350 400 425 476 560 595 680 700 850 952 1190 1360 1400 1700 1904 2380 2800 2975 3400 4760 5950 6800 9520 11900 23800 47600 295049 590098 1180196 1475245 2065343 2360392 2950490 4130686 4720784 5015833 5900980 7376225 8261372 10031666 10326715 11801960 14752450 16522744 20063332 20653430 23603920 25079165 29504900 33045488 35110831 40126664 41306860 50158330 51633575 59009800 70221662 80253328 82613720 100316660 103267150 118019600 125395825 140443324 165227440 175554155 200633320 206534300 250791650 280886648 351108310 401266640 413068600 501583300 561773296 702216620 826137200 877770775 1003166600 1404433240 1755541550 2006333200 2808866480 3511083100 7022166200 14044332400