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14431342200 = 23352112186567
BaseRepresentation
bin11010111000010110…
…01100111001111000
31101020202010010211120
431130023030321320
5214023410422300
610344001425240
71020423245652
oct153413147170
941222103746
1014431342200
116136130aa0
12296903b220
13148caa5352
149ac8b96d2
15596e383a0
hex35c2cce78

14431342200 has 96 divisors (see below), whose sum is σ = 48804197760. Its totient is φ = 3498505600.

The previous prime is 14431342193. The next prime is 14431342201. The reversal of 14431342200 is 224313441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431342201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086684 + ... + 1099883.

It is an arithmetic number, because the mean of its divisors is an integer number (508377060).

Almost surely, 214431342200 is an apocalyptic number.

14431342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431342200 is an abundant number, since it is smaller than the sum of its proper divisors (34372855560).

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

14431342200 is a wasteful number, since it uses less digits than its factorization.

14431342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186597 (or 2186588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14431342200 its reverse (224313441), we get a palindrome (14655655641).

The spelling of 14431342200 in words is "fourteen billion, four hundred thirty-one million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 2186567 4373134 6559701 8746268 10932835 13119402 17492536 21865670 24052237 26238804 32798505 43731340 48104474 52477608 54664175 65597010 72156711 87462680 96208948 109328350 120261185 131194020 144313422 163992525 192417896 218656700 240522370 262388040 288626844 327985050 360783555 437313400 481044740 577253688 601305925 655970100 721567110 962089480 1202611850 1311940200 1443134220 1803917775 2405223700 2886268440 3607835550 4810447400 7215671100 14431342200