Search a number
-
+
14153054200 = 23521723917417
BaseRepresentation
bin11010010111001011…
…00111011111111000
31100112100110122110121
431023211213133320
5212441140213300
610300221023024
71010503655455
oct151345473770
940470418417
1014153054200
11600303710a
1228ab9b4a74
131447239cac
1498395882c
1557c7b781a
hex34b9677f8

14153054200 has 96 divisors (see below), whose sum is σ = 34989278400. Its totient is φ = 5305610240.

The previous prime is 14153054197. The next prime is 14153054203. The reversal of 14153054200 is 245035141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14153054197) and next prime (14153054203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14153054203) 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, 803892 + ... + 821308.

It is an arithmetic number, because the mean of its divisors is an integer number (364471650).

Almost surely, 214153054200 is an apocalyptic number.

14153054200 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 14153054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494639200).

14153054200 is an abundant number, since it is smaller than the sum of its proper divisors (20836224200).

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

14153054200 is a wasteful number, since it uses less digits than its factorization.

14153054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17689 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 14153054200 its reverse (245035141), we get a palindrome (14398089341).

The spelling of 14153054200 in words is "fourteen billion, one hundred fifty-three million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 239 340 425 478 680 850 956 1195 1700 1912 2390 3400 4063 4780 5975 8126 9560 11950 16252 17417 20315 23900 32504 34834 40630 47800 69668 81260 87085 101575 139336 162520 174170 203150 296089 348340 406300 435425 592178 696680 812600 870850 1184356 1480445 1741700 2368712 2960890 3483400 4162663 5921780 7402225 8325326 11843560 14804450 16650652 20813315 29608900 33301304 41626630 59217800 70765271 83253260 104066575 141530542 166506520 208133150 283061084 353826355 416266300 566122168 707652710 832532600 1415305420 1769131775 2830610840 3538263550 7076527100 14153054200