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14233130120 = 2351173344131
BaseRepresentation
bin11010100000101110…
…00101010010001000
31100201221010220222102
431100113011102020
5213122140130440
610312201212532
71012465416116
oct152027052210
940657126872
1014233130120
11604425a360
122912791148
13145a9c5ab1
14990440ab6
15584833b15
hex3505c5488

14233130120 has 64 divisors (see below), whose sum is σ = 34984319040. Its totient is φ = 5168505600.

The previous prime is 14233130101. The next prime is 14233130129. The reversal of 14233130120 is 2103133241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14233130092 and 14233130101.

It is not an unprimeable number, because it can be changed into a prime (14233130129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300455 + ... + 344585.

It is an arithmetic number, because the mean of its divisors is an integer number (546629985).

Almost surely, 214233130120 is an apocalyptic number.

14233130120 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 14233130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492159520).

14233130120 is an abundant number, since it is smaller than the sum of its proper divisors (20751188920).

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

14233130120 is a wasteful number, since it uses less digits than its factorization.

14233130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44886 (or 44882 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14233130120 its reverse (2103133241), we get a palindrome (16336263361).

The spelling of 14233130120 in words is "fourteen billion, two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 733 1466 2932 3665 5864 7330 8063 14660 16126 29320 32252 40315 44131 64504 80630 88262 161260 176524 220655 322520 353048 441310 485441 882620 970882 1765240 1941764 2427205 3883528 4854410 9708820 19417640 32348023 64696046 129392092 161740115 258784184 323480230 355828253 646960460 711656506 1293920920 1423313012 1779141265 2846626024 3558282530 7116565060 14233130120