Search a number
-
+
14501335300 = 2252537973433
BaseRepresentation
bin11011000000101100…
…01101000100000100
31101102121211011022121
431200112031010010
5214144320212200
610354541535324
71022233213324
oct154026150404
941377734277
1014501335300
116171697931
122988574544
1314a144099a
149b7cd9284
1559d161e1a
hex36058d104

14501335300 has 72 divisors (see below), whose sum is σ = 32111210376. Its totient is φ = 5682293760.

The previous prime is 14501335273. The next prime is 14501335309. The reversal of 14501335300 is 353310541.

It can be written as a sum of positive squares in 12 ways, for example, as 3504876804 + 10996458496 = 59202^2 + 104864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14501335309) 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, 4222384 + ... + 4225816.

It is an arithmetic number, because the mean of its divisors is an integer number (445989033).

Almost surely, 214501335300 is an apocalyptic number.

14501335300 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 14501335300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055605188).

14501335300 is an abundant number, since it is smaller than the sum of its proper divisors (17609875076).

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

14501335300 is a wasteful number, since it uses less digits than its factorization.

14501335300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 14501335300 its reverse (353310541), we get a palindrome (14854645841).

The spelling of 14501335300 in words is "fourteen billion, five hundred one million, three hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 797 1060 1325 1594 2650 3188 3433 3985 5300 6866 7970 13732 15940 17165 19925 34330 39850 42241 68660 79700 84482 85825 168964 171650 181949 211205 343300 363898 422410 727796 844820 909745 1056025 1819490 2112050 2736101 3638980 4224100 4548725 5472202 9097450 10944404 13680505 18194900 27361010 54722020 68402525 136805050 145013353 273610100 290026706 580053412 725066765 1450133530 2900267060 3625333825 7250667650 14501335300