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14115441330 = 23257311319013
BaseRepresentation
bin11010010010101100…
…01000101010110010
31100102201200201022100
431021112020222302
5212402023110310
610252354521230
71006536162114
oct151126105262
940381621270
1014115441330
115a93886aa1
12289b296216
13143c4cab63
1497c9673b4
15579337ec0
hex349588ab2

14115441330 has 96 divisors (see below), whose sum is σ = 37534092336. Its totient is φ = 3679506432.

The previous prime is 14115441317. The next prime is 14115441341. The reversal of 14115441330 is 3314451141.

14115441330 is a `hidden beast` number, since 141 + 154 + 41 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16966161 + 14098475169 = 4119^2 + 118737^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14115441294 and 14115441303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732904 + ... + 751916.

Almost surely, 214115441330 is an apocalyptic number.

14115441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767046168).

14115441330 is an abundant number, since it is smaller than the sum of its proper divisors (23418651006).

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

14115441330 is a wasteful number, since it uses less digits than its factorization.

14115441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19212 (or 19209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14115441330 its reverse (3314451141), we get a palindrome (17429892471).

The spelling of 14115441330 in words is "fourteen billion, one hundred fifteen million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 113 146 219 226 339 365 438 565 657 678 730 1017 1095 1130 1314 1695 2034 2190 3285 3390 5085 6570 8249 10170 16498 19013 24747 38026 41245 49494 57039 74241 82490 95065 114078 123735 148482 171117 190130 247470 285195 342234 371205 570390 742410 855585 1387949 1711170 2148469 2775898 4163847 4296938 6445407 6939745 8327694 10742345 12491541 12890814 13879490 19336221 20819235 21484690 24983082 32227035 38672442 41638470 62457705 64454070 96681105 124915410 156838237 193362210 313676474 470514711 784191185 941029422 1411544133 1568382370 2352573555 2823088266 4705147110 7057720665 14115441330