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14134201120 = 2551353128213
BaseRepresentation
bin11010010100111011…
…01100101100100000
31100111000222210220101
431022131230230200
5212421323413440
610254304552144
71010154504304
oct151235545440
940430883811
1014134201120
115aa342a556
1228a5622654
131443368920
1498124bd04
1557ace169a
hex34a76cb20

14134201120 has 96 divisors (see below), whose sum is σ = 36639458352. Its totient is φ = 5120274432.

The previous prime is 14134201097. The next prime is 14134201127. The reversal of 14134201120 is 2110243141.

It can be written as a sum of positive squares in 8 ways, for example, as 10093819024 + 4040382096 = 100468^2 + 63564^2 .

It is not an unprimeable number, because it can be changed into a prime (14134201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46134 + ... + 174346.

Almost surely, 214134201120 is an apocalyptic number.

14134201120 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 14134201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319729176).

14134201120 is an abundant number, since it is smaller than the sum of its proper divisors (22505257232).

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

14134201120 is a wasteful number, since it uses less digits than its factorization.

14134201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128294 (or 128286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14134201120 its reverse (2110243141), we get a palindrome (16244444261).

The spelling of 14134201120 in words is "fourteen billion, one hundred thirty-four million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 520 530 689 848 1040 1060 1378 1696 2080 2120 2756 3445 4240 5512 6890 8480 11024 13780 22048 27560 55120 110240 128213 256426 512852 641065 1025704 1282130 1666769 2051408 2564260 3333538 4102816 5128520 6667076 6795289 8333845 10257040 13334152 13590578 16667690 20514080 26668304 27181156 33335380 33976445 53336608 54362312 66670760 67952890 88338757 108724624 133341520 135905780 176677514 217449248 266683040 271811560 353355028 441693785 543623120 706710056 883387570 1087246240 1413420112 1766775140 2826840224 3533550280 7067100560 14134201120