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14404054100 = 22521712316883
BaseRepresentation
bin11010110101000110…
…00110110001010100
31101011211202202121012
431122203012301110
5213444414212400
610341144511352
71016642303552
oct153243066124
941154682535
1014404054100
116121793047
12295ba7b558
13148723c847
149a9014bd2
15594847d35
hex35a8c6c54

14404054100 has 72 divisors (see below), whose sum is σ = 33127129728. Its totient is φ = 5417510400.

The previous prime is 14404054087. The next prime is 14404054111. The reversal of 14404054100 is 145040441.

It is a happy number.

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, 2089259 + ... + 2096141.

It is an arithmetic number, because the mean of its divisors is an integer number (460099024).

Almost surely, 214404054100 is an apocalyptic number.

14404054100 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 14404054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563564864).

14404054100 is an abundant number, since it is smaller than the sum of its proper divisors (18723075628).

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

14404054100 is a wasteful number, since it uses less digits than its factorization.

14404054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 14404054100 its reverse (145040441), we get a palindrome (14549094541).

The spelling of 14404054100 in words is "fourteen billion, four hundred four million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1231 1700 2462 4924 6155 6883 12310 13766 20927 24620 27532 30775 34415 41854 61550 68830 83708 104635 117011 123100 137660 172075 209270 234022 344150 418540 468044 523175 585055 688300 1046350 1170110 2092700 2340220 2925275 5850550 8472973 11701100 16945946 33891892 42364865 84729730 144040541 169459460 211824325 288081082 423648650 576162164 720202705 847297300 1440405410 2880810820 3601013525 7202027050 14404054100